[{"citation":{"chicago":"Diao, Yijie. “Density of the Union of Positive Diagonal Binary Quadratic Forms.” Acta Arithmetica. Instytut Matematyczny, 2023. https://doi.org/10.4064/aa210830-24-11.","mla":"Diao, Yijie. “Density of the Union of Positive Diagonal Binary Quadratic Forms.” Acta Arithmetica, vol. 207, Instytut Matematyczny, 2023, pp. 1–17, doi:10.4064/aa210830-24-11.","ista":"Diao Y. 2023. Density of the union of positive diagonal binary quadratic forms. Acta Arithmetica. 207, 1–17.","ama":"Diao Y. Density of the union of positive diagonal binary quadratic forms. Acta Arithmetica. 2023;207:1-17. doi:10.4064/aa210830-24-11","apa":"Diao, Y. (2023). Density of the union of positive diagonal binary quadratic forms. Acta Arithmetica. Instytut Matematyczny. https://doi.org/10.4064/aa210830-24-11","short":"Y. Diao, Acta Arithmetica 207 (2023) 1–17.","ieee":"Y. Diao, “Density of the union of positive diagonal binary quadratic forms,” Acta Arithmetica, vol. 207. Instytut Matematyczny, pp. 1–17, 2023."},"status":"public","volume":207,"type":"journal_article","publication_status":"published","doi":"10.4064/aa210830-24-11","acknowledgement":"This article is a version the author’s master thesis at the University of Bonn. The author would like to thank his advisor Valentin Blomer for introducing the problem, and giving generous feedback and encouragement along the way, especially during the global pandemic.\r\nThe author thanks Edgar Assing for his lectures on analytic number theory. Finally, the author is grateful to the anonymous referees for their valuable time and comments.\r\n","publication":"Acta Arithmetica","publication_identifier":{"eissn":["1730-6264"],"issn":["0065-1036"]},"intvolume":" 207","language":[{"iso":"eng"}],"keyword":["Algebra","Number Theory"],"author":[{"orcid":"0000-0002-4989-5330","full_name":"Diao, Yijie","last_name":"Diao","id":"7b7eb4ca-eb2c-11ec-b98b-accec0b20c3b","first_name":"Yijie"}],"year":"2023","date_updated":"2023-10-17T09:15:17Z","day":"09","_id":"12406","isi":1,"department":[{"_id":"GradSch"}],"month":"01","date_published":"2023-01-09T00:00:00Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2103.08268"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Instytut Matematyczny","title":"Density of the union of positive diagonal binary quadratic forms","oa_version":"Preprint","quality_controlled":"1","oa":1,"article_type":"original","date_created":"2023-01-26T21:17:04Z","external_id":{"isi":["000912903000001"],"arxiv":["2103.08268"]},"page":"1-17","abstract":[{"lang":"eng","text":"Let X be a sufficiently large positive integer. We prove that one may choose a subset S of primes with cardinality O(logX) such that a positive proportion of integers less than X can be represented by x2+py2 for at least one p∈S."}],"article_processing_charge":"No"},{"status":"public","volume":14,"type":"journal_article","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"citation":{"ama":"Qiu L, Sahu R, Hease WJ, Arnold GM, Fink JM. Coherent optical control of a superconducting microwave cavity via electro-optical dynamical back-action. Nature Communications. 2023;14. doi:10.1038/s41467-023-39493-3","ista":"Qiu L, Sahu R, Hease WJ, Arnold GM, Fink JM. 2023. Coherent optical control of a superconducting microwave cavity via electro-optical dynamical back-action. Nature Communications. 14, 3784.","chicago":"Qiu, Liu, Rishabh Sahu, William J Hease, Georg M Arnold, and Johannes M Fink. “Coherent Optical Control of a Superconducting Microwave Cavity via Electro-Optical Dynamical Back-Action.” Nature Communications. Nature Research, 2023. https://doi.org/10.1038/s41467-023-39493-3.","mla":"Qiu, Liu, et al. “Coherent Optical Control of a Superconducting Microwave Cavity via Electro-Optical Dynamical Back-Action.” Nature Communications, vol. 14, 3784, Nature Research, 2023, doi:10.1038/s41467-023-39493-3.","ieee":"L. Qiu, R. Sahu, W. J. Hease, G. M. Arnold, and J. M. Fink, “Coherent optical control of a superconducting microwave cavity via electro-optical dynamical back-action,” Nature Communications, vol. 14. Nature Research, 2023.","apa":"Qiu, L., Sahu, R., Hease, W. J., Arnold, G. M., & Fink, J. M. (2023). Coherent optical control of a superconducting microwave cavity via electro-optical dynamical back-action. Nature Communications. Nature Research. https://doi.org/10.1038/s41467-023-39493-3","short":"L. Qiu, R. Sahu, W.J. Hease, G.M. Arnold, J.M. Fink, Nature Communications 14 (2023)."},"author":[{"last_name":"Qiu","first_name":"Liu","id":"45e99c0d-1eb1-11eb-9b96-ed8ab2983cac","orcid":"0000-0003-4345-4267","full_name":"Qiu, Liu"},{"orcid":"0000-0001-6264-2162","full_name":"Sahu, Rishabh","last_name":"Sahu","id":"47D26E34-F248-11E8-B48F-1D18A9856A87","first_name":"Rishabh"},{"id":"29705398-F248-11E8-B48F-1D18A9856A87","first_name":"William J","last_name":"Hease","full_name":"Hease, William J","orcid":"0000-0001-9868-2166"},{"full_name":"Arnold, Georg M","orcid":"0000-0003-1397-7876","id":"3770C838-F248-11E8-B48F-1D18A9856A87","first_name":"Georg M","last_name":"Arnold"},{"full_name":"Fink, Johannes M","orcid":"0000-0001-8112-028X","first_name":"Johannes M","id":"4B591CBA-F248-11E8-B48F-1D18A9856A87","last_name":"Fink"}],"file_date_updated":"2023-07-10T10:10:54Z","acknowledgement":"This work was supported by the European Research Council under grant agreement no. 758053 (ERC StG QUNNECT), the European Union’s Horizon 2020 research and innovation program under grant agreement no. 899354 (FETopen SuperQuLAN), and the Austrian Science Fund (FWF) through BeyondC (F7105). L.Q. acknowledges generous support from the ISTFELLOW programme. W.H. is the recipient of an ISTplus postdoctoral fellowship with funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie grant agreement no. 754411. G.A. is the recipient of a DOC fellowship of the Austrian Academy of Sciences at IST Austria.","doi":"10.1038/s41467-023-39493-3","publication":"Nature Communications","publication_identifier":{"eissn":["2041-1723"]},"intvolume":" 14","language":[{"iso":"eng"}],"day":"24","year":"2023","date_updated":"2023-10-17T11:46:12Z","month":"06","date_published":"2023-06-24T00:00:00Z","article_number":"3784","_id":"13200","department":[{"_id":"JoFi"}],"isi":1,"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Nature Research","title":"Coherent optical control of a superconducting microwave cavity via electro-optical dynamical back-action","quality_controlled":"1","oa_version":"Published Version","ec_funded":1,"date_created":"2023-07-09T22:01:11Z","oa":1,"ddc":["000"],"article_type":"original","license":"https://creativecommons.org/licenses/by/4.0/","scopus_import":"1","external_id":{"arxiv":["2210.12443"],"isi":["001018100800002"],"pmid":["37355691"]},"pmid":1,"file":[{"date_updated":"2023-07-10T10:10:54Z","creator":"alisjak","checksum":"ec7ccd2c08f90d59cab302fd0d7776a4","file_size":1349134,"access_level":"open_access","relation":"main_file","success":1,"file_id":"13206","content_type":"application/pdf","date_created":"2023-07-10T10:10:54Z","file_name":"2023_NatureComms_Qiu.pdf"}],"has_accepted_license":"1","abstract":[{"lang":"eng","text":"Recent quantum technologies have established precise quantum control of various microscopic systems using electromagnetic waves. Interfaces based on cryogenic cavity electro-optic systems are particularly promising, due to the direct interaction between microwave and optical fields in the quantum regime. Quantum optical control of superconducting microwave circuits has been precluded so far due to the weak electro-optical coupling as well as quasi-particles induced by the pump laser. Here we report the coherent control of a superconducting microwave cavity using laser pulses in a multimode electro-optical device at millikelvin temperature with near-unity cooperativity. Both the stationary and instantaneous responses of the microwave and optical modes comply with the coherent electro-optical interaction, and reveal only minuscule amount of excess back-action with an unanticipated time delay. Our demonstration enables wide ranges of applications beyond quantum transductions, from squeezing and quantum non-demolition measurements of microwave fields, to entanglement generation and hybrid quantum networks."}],"project":[{"call_identifier":"H2020","name":"A Fiber Optic Transceiver for Superconducting Qubits","_id":"26336814-B435-11E9-9278-68D0E5697425","grant_number":"758053"},{"grant_number":"899354","_id":"9B868D20-BA93-11EA-9121-9846C619BF3A","name":"Quantum Local Area Networks with Superconducting Qubits","call_identifier":"H2020"},{"_id":"bdb108fd-d553-11ed-ba76-83dc74a9864f","name":"QUANTUM INFORMATION SYSTEMS BEYOND CLASSICAL CAPABILITIES / P5- Integration of Superconducting Quantum Circuits"},{"call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411"},{"grant_number":"291734","_id":"25681D80-B435-11E9-9278-68D0E5697425","call_identifier":"FP7","name":"International IST Postdoc Fellowship Programme"},{"_id":"2671EB66-B435-11E9-9278-68D0E5697425","name":"Coherent on-chip conversion of superconducting qubit signals from microwaves to optical frequencies"}],"article_processing_charge":"No"},{"day":"25","related_material":{"link":[{"relation":"software","url":"https://github.com/fcamilli95/Structured-PCA-"}]},"year":"2023","date_updated":"2023-10-17T11:44:55Z","date_published":"2023-07-25T00:00:00Z","month":"07","article_number":"e2302028120","department":[{"_id":"MaMo"}],"_id":"13315","volume":120,"type":"journal_article","status":"public","publication_status":"published","citation":{"short":"J. Barbier, F. Camilli, M. Mondelli, M. Sáenz, Proceedings of the National Academy of Sciences of the United States of America 120 (2023).","apa":"Barbier, J., Camilli, F., Mondelli, M., & Sáenz, M. (2023). Fundamental limits in structured principal component analysis and how to reach them. Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences. https://doi.org/10.1073/pnas.2302028120","ieee":"J. Barbier, F. Camilli, M. Mondelli, and M. Sáenz, “Fundamental limits in structured principal component analysis and how to reach them,” Proceedings of the National Academy of Sciences of the United States of America, vol. 120, no. 30. National Academy of Sciences, 2023.","mla":"Barbier, Jean, et al. “Fundamental Limits in Structured Principal Component Analysis and How to Reach Them.” Proceedings of the National Academy of Sciences of the United States of America, vol. 120, no. 30, e2302028120, National Academy of Sciences, 2023, doi:10.1073/pnas.2302028120.","chicago":"Barbier, Jean, Francesco Camilli, Marco Mondelli, and Manuel Sáenz. “Fundamental Limits in Structured Principal Component Analysis and How to Reach Them.” Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences, 2023. https://doi.org/10.1073/pnas.2302028120.","ista":"Barbier J, Camilli F, Mondelli M, Sáenz M. 2023. Fundamental limits in structured principal component analysis and how to reach them. Proceedings of the National Academy of Sciences of the United States of America. 120(30), e2302028120.","ama":"Barbier J, Camilli F, Mondelli M, Sáenz M. Fundamental limits in structured principal component analysis and how to reach them. Proceedings of the National Academy of Sciences of the United States of America. 2023;120(30). doi:10.1073/pnas.2302028120"},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"file_date_updated":"2023-07-31T07:30:48Z","author":[{"full_name":"Barbier, Jean","last_name":"Barbier","first_name":"Jean"},{"first_name":"Francesco","last_name":"Camilli","full_name":"Camilli, Francesco"},{"orcid":"0000-0002-3242-7020","full_name":"Mondelli, Marco","last_name":"Mondelli","first_name":"Marco","id":"27EB676C-8706-11E9-9510-7717E6697425"},{"first_name":"Manuel","last_name":"Sáenz","full_name":"Sáenz, Manuel"}],"publication":"Proceedings of the National Academy of Sciences of the United States of America","doi":"10.1073/pnas.2302028120","acknowledgement":"J.B. was funded by the European Union (ERC, CHORAL, project number 101039794). Views and opinions expressed are however those of the author(s) only and do not necessarily reflect those of the European Union or the European Research Council. Neither the European Union nor the granting authority can be held responsible for them. M.M. was supported by the 2019 Lopez-Loreta Prize. We would like to thank the reviewers for the insightful comments and, in particular, for suggesting the BAMP-inspired denoisers leading to AMP-AP.","intvolume":" 120","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1091-6490"]},"scopus_import":"1","pmid":1,"external_id":{"pmid":["37463204"]},"file":[{"file_id":"13323","content_type":"application/pdf","success":1,"file_name":"2023_PNAS_Barbier.pdf","date_created":"2023-07-31T07:30:48Z","relation":"main_file","access_level":"open_access","file_size":995933,"creator":"dernst","checksum":"1fc06228afdb3aa80cf8e7766bcf9dc5","date_updated":"2023-07-31T07:30:48Z"}],"has_accepted_license":"1","abstract":[{"text":"How do statistical dependencies in measurement noise influence high-dimensional inference? To answer this, we study the paradigmatic spiked matrix model of principal components analysis (PCA), where a rank-one matrix is corrupted by additive noise. We go beyond the usual independence assumption on the noise entries, by drawing the noise from a low-order polynomial orthogonal matrix ensemble. The resulting noise correlations make the setting relevant for applications but analytically challenging. We provide characterization of the Bayes optimal limits of inference in this model. If the spike is rotation invariant, we show that standard spectral PCA is optimal. However, for more general priors, both PCA and the existing approximate message-passing algorithm (AMP) fall short of achieving the information-theoretic limits, which we compute using the replica method from statistical physics. We thus propose an AMP, inspired by the theory of adaptive Thouless–Anderson–Palmer equations, which is empirically observed to saturate the conjectured theoretical limit. This AMP comes with a rigorous state evolution analysis tracking its performance. Although we focus on specific noise distributions, our methodology can be generalized to a wide class of trace matrix ensembles at the cost of more involved expressions. Finally, despite the seemingly strong assumption of rotation-invariant noise, our theory empirically predicts algorithmic performance on real data, pointing at strong universality properties.","lang":"eng"}],"article_processing_charge":"Yes (in subscription journal)","project":[{"name":"Prix Lopez-Loretta 2019 - Marco Mondelli","_id":"059876FA-7A3F-11EA-A408-12923DDC885E"}],"title":"Fundamental limits in structured principal component analysis and how to reach them","publisher":"National Academy of Sciences","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","quality_controlled":"1","oa_version":"Published Version","issue":"30","date_created":"2023-07-30T22:01:02Z","article_type":"original","ddc":["000"],"oa":1},{"has_accepted_license":"1","abstract":[{"text":"Traditionally, nuclear spin is not considered to affect biological processes. Recently, this has changed as isotopic fractionation that deviates from classical mass dependence was reported both in vitro and in vivo. In these cases, the isotopic effect correlates with the nuclear magnetic spin. Here, we show nuclear spin effects using stable oxygen isotopes (16O, 17O, and 18O) in two separate setups: an artificial dioxygen production system and biological aquaporin channels in cells. We observe that oxygen dynamics in chiral environments (in particular its transport) depend on nuclear spin, suggesting future applications for controlled isotope separation to be used, for instance, in NMR. To demonstrate the mechanism behind our findings, we formulate theoretical models based on a nuclear-spin-enhanced switch between electronic spin states. Accounting for the role of nuclear spin in biology can provide insights into the role of quantum effects in living systems and help inspire the development of future biotechnology solutions.","lang":"eng"}],"file":[{"date_updated":"2023-08-14T07:43:45Z","creator":"dernst","checksum":"a5ed64788a5acef9b9a300a26fa5a177","file_size":1003092,"relation":"main_file","access_level":"open_access","file_name":"2023_PNAS_Vardi.pdf","date_created":"2023-08-14T07:43:45Z","success":1,"file_id":"14047","content_type":"application/pdf"}],"project":[{"_id":"2688CF98-B435-11E9-9278-68D0E5697425","grant_number":"801770","call_identifier":"H2020","name":"Angulon: physics and applications of a new quasiparticle"}],"article_processing_charge":"Yes (in subscription journal)","external_id":{"pmid":["37523549"]},"pmid":1,"license":"https://creativecommons.org/licenses/by-nc-nd/4.0/","scopus_import":"1","oa":1,"ddc":["530"],"article_type":"original","ec_funded":1,"date_created":"2023-08-13T22:01:12Z","issue":"32","publisher":"National Academy of Sciences","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Nuclear spin effects in biological processes","quality_controlled":"1","oa_version":"Published Version","_id":"14037","department":[{"_id":"MiLe"}],"month":"07","date_published":"2023-07-31T00:00:00Z","article_number":"e2300828120","year":"2023","date_updated":"2023-10-17T11:45:25Z","day":"31","acknowledgement":"N.M.-S. acknowledges the support of the Ministry of Energy, Israel, as part of the scholarship program for graduate students in the fields of energy. M.L. acknowledges support by the European Research Council (ERC) Starting Grant No. 801770 (ANGULON). Y.P. acknowledges the support of the Ministry of Innovation, Science and Technology, Israel Grant No. 1001593872. Y.P acknowledges the support of the BSF-NSF 094 Grant No. 2022503.","doi":"10.1073/pnas.2300828120","publication":"Proceedings of the National Academy of Sciences of the United States of America","publication_identifier":{"eissn":["1091-6490"]},"intvolume":" 120","language":[{"iso":"eng"}],"author":[{"last_name":"Vardi","first_name":"Ofek","full_name":"Vardi, Ofek"},{"full_name":"Maroudas-Sklare, Naama","last_name":"Maroudas-Sklare","first_name":"Naama"},{"last_name":"Kolodny","first_name":"Yuval","full_name":"Kolodny, Yuval"},{"id":"37D278BC-F248-11E8-B48F-1D18A9856A87","first_name":"Artem","last_name":"Volosniev","full_name":"Volosniev, Artem","orcid":"0000-0003-0393-5525"},{"full_name":"Saragovi, Amijai","last_name":"Saragovi","first_name":"Amijai"},{"full_name":"Galili, Nir","first_name":"Nir","last_name":"Galili"},{"first_name":"Stav","last_name":"Ferrera","full_name":"Ferrera, Stav"},{"last_name":"Ghazaryan","id":"4AF46FD6-F248-11E8-B48F-1D18A9856A87","first_name":"Areg","orcid":"0000-0001-9666-3543","full_name":"Ghazaryan, Areg"},{"full_name":"Yuran, Nir","first_name":"Nir","last_name":"Yuran"},{"full_name":"Affek, Hagit P.","first_name":"Hagit P.","last_name":"Affek"},{"last_name":"Luz","first_name":"Boaz","full_name":"Luz, Boaz"},{"last_name":"Goldsmith","first_name":"Yonaton","full_name":"Goldsmith, Yonaton"},{"full_name":"Keren, Nir","last_name":"Keren","first_name":"Nir"},{"first_name":"Shira","last_name":"Yochelis","full_name":"Yochelis, Shira"},{"last_name":"Halevy","first_name":"Itay","full_name":"Halevy, Itay"},{"last_name":"Lemeshko","id":"37CB05FA-F248-11E8-B48F-1D18A9856A87","first_name":"Mikhail","orcid":"0000-0002-6990-7802","full_name":"Lemeshko, Mikhail"},{"full_name":"Paltiel, Yossi","first_name":"Yossi","last_name":"Paltiel"}],"file_date_updated":"2023-08-14T07:43:45Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode","image":"/images/cc_by_nc_nd.png","name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","short":"CC BY-NC-ND (4.0)"},"citation":{"ama":"Vardi O, Maroudas-Sklare N, Kolodny Y, et al. Nuclear spin effects in biological processes. Proceedings of the National Academy of Sciences of the United States of America. 2023;120(32). doi:10.1073/pnas.2300828120","ista":"Vardi O, Maroudas-Sklare N, Kolodny Y, Volosniev A, Saragovi A, Galili N, Ferrera S, Ghazaryan A, Yuran N, Affek HP, Luz B, Goldsmith Y, Keren N, Yochelis S, Halevy I, Lemeshko M, Paltiel Y. 2023. Nuclear spin effects in biological processes. Proceedings of the National Academy of Sciences of the United States of America. 120(32), e2300828120.","chicago":"Vardi, Ofek, Naama Maroudas-Sklare, Yuval Kolodny, Artem Volosniev, Amijai Saragovi, Nir Galili, Stav Ferrera, et al. “Nuclear Spin Effects in Biological Processes.” Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences, 2023. https://doi.org/10.1073/pnas.2300828120.","mla":"Vardi, Ofek, et al. “Nuclear Spin Effects in Biological Processes.” Proceedings of the National Academy of Sciences of the United States of America, vol. 120, no. 32, e2300828120, National Academy of Sciences, 2023, doi:10.1073/pnas.2300828120.","ieee":"O. Vardi et al., “Nuclear spin effects in biological processes,” Proceedings of the National Academy of Sciences of the United States of America, vol. 120, no. 32. National Academy of Sciences, 2023.","apa":"Vardi, O., Maroudas-Sklare, N., Kolodny, Y., Volosniev, A., Saragovi, A., Galili, N., … Paltiel, Y. (2023). Nuclear spin effects in biological processes. Proceedings of the National Academy of Sciences of the United States of America. National Academy of Sciences. https://doi.org/10.1073/pnas.2300828120","short":"O. Vardi, N. Maroudas-Sklare, Y. Kolodny, A. Volosniev, A. Saragovi, N. Galili, S. Ferrera, A. Ghazaryan, N. Yuran, H.P. Affek, B. Luz, Y. Goldsmith, N. Keren, S. Yochelis, I. Halevy, M. Lemeshko, Y. Paltiel, Proceedings of the National Academy of Sciences of the United States of America 120 (2023)."},"status":"public","type":"journal_article","volume":120,"publication_status":"published"},{"article_processing_charge":"No","project":[{"_id":"260C2330-B435-11E9-9278-68D0E5697425","grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships"},{"_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331","call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta"}],"page":"1-13","abstract":[{"text":"We study the eigenvalue trajectories of a time dependent matrix Gt=H+itvv∗ for t≥0, where H is an N×N Hermitian random matrix and v is a unit vector. In particular, we establish that with high probability, an outlier can be distinguished at all times t>1+N−1/3+ϵ, for any ϵ>0. The study of this natural process combines elements of Hermitian and non-Hermitian analysis, and illustrates some aspects of the intrinsic instability of (even weakly) non-Hermitian matrices.","lang":"eng"}],"file":[{"date_created":"2023-02-27T09:43:27Z","file_name":"2023_ElectCommProbability_Dubach.pdf","content_type":"application/pdf","file_id":"12692","success":1,"access_level":"open_access","relation":"main_file","file_size":479105,"checksum":"a1c6f0a3e33688fd71309c86a9aad86e","creator":"dernst","date_updated":"2023-02-27T09:43:27Z"}],"has_accepted_license":"1","scopus_import":"1","external_id":{"arxiv":["2108.13694"],"isi":["000950650200005"]},"date_created":"2023-02-26T23:01:01Z","ec_funded":1,"ddc":["510"],"article_type":"original","oa":1,"quality_controlled":"1","oa_version":"Published Version","title":"Dynamics of a rank-one perturbation of a Hermitian matrix","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Institute of Mathematical Statistics","date_published":"2023-02-08T00:00:00Z","month":"02","isi":1,"department":[{"_id":"LaEr"}],"_id":"12683","day":"08","date_updated":"2023-10-17T12:48:10Z","year":"2023","file_date_updated":"2023-02-27T09:43:27Z","author":[{"id":"D5C6A458-10C4-11EA-ABF4-A4B43DDC885E","first_name":"Guillaume","last_name":"Dubach","full_name":"Dubach, Guillaume","orcid":"0000-0001-6892-8137"},{"id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","last_name":"Erdös","full_name":"Erdös, László","orcid":"0000-0001-5366-9603"}],"intvolume":" 28","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["1083-589X"]},"publication":"Electronic Communications in Probability","acknowledgement":"G. Dubach gratefully acknowledges funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 754411. L. Erdős is supported by ERC Advanced Grant “RMTBeyond” No. 101020331.","doi":"10.1214/23-ECP516","publication_status":"published","type":"journal_article","volume":28,"status":"public","citation":{"ieee":"G. Dubach and L. Erdös, “Dynamics of a rank-one perturbation of a Hermitian matrix,” Electronic Communications in Probability, vol. 28. Institute of Mathematical Statistics, pp. 1–13, 2023.","apa":"Dubach, G., & Erdös, L. (2023). Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/23-ECP516","short":"G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13.","ama":"Dubach G, Erdös L. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 2023;28:1-13. doi:10.1214/23-ECP516","ista":"Dubach G, Erdös L. 2023. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 28, 1–13.","chicago":"Dubach, Guillaume, and László Erdös. “Dynamics of a Rank-One Perturbation of a Hermitian Matrix.” Electronic Communications in Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/23-ECP516.","mla":"Dubach, Guillaume, and László Erdös. “Dynamics of a Rank-One Perturbation of a Hermitian Matrix.” Electronic Communications in Probability, vol. 28, Institute of Mathematical Statistics, 2023, pp. 1–13, doi:10.1214/23-ECP516."},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"}},{"publication_identifier":{"issn":["1050-5164"]},"language":[{"iso":"eng"}],"intvolume":" 33","doi":"10.1214/22-AAP1820","acknowledgement":"The second author is partially funded by the ERC Advanced Grant “RMTBEYOND” No. 101020331. The third author is supported by Dr. Max Rössler, the Walter Haefner Foundation and the ETH Zürich Foundation.","publication":"Annals of Applied Probability","author":[{"orcid":"0000-0002-4901-7992","full_name":"Cipolloni, Giorgio","last_name":"Cipolloni","first_name":"Giorgio","id":"42198EFA-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-5366-9603","full_name":"Erdös, László","last_name":"Erdös","first_name":"László","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87"},{"id":"408ED176-F248-11E8-B48F-1D18A9856A87","first_name":"Dominik J","last_name":"Schröder","full_name":"Schröder, Dominik J","orcid":"0000-0002-2904-1856"}],"citation":{"short":"G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489.","apa":"Cipolloni, G., Erdös, L., & Schröder, D. J. (2023). Functional central limit theorems for Wigner matrices. Annals of Applied Probability. Institute of Mathematical Statistics. https://doi.org/10.1214/22-AAP1820","ieee":"G. Cipolloni, L. Erdös, and D. J. Schröder, “Functional central limit theorems for Wigner matrices,” Annals of Applied Probability, vol. 33, no. 1. Institute of Mathematical Statistics, pp. 447–489, 2023.","chicago":"Cipolloni, Giorgio, László Erdös, and Dominik J Schröder. “Functional Central Limit Theorems for Wigner Matrices.” Annals of Applied Probability. Institute of Mathematical Statistics, 2023. https://doi.org/10.1214/22-AAP1820.","mla":"Cipolloni, Giorgio, et al. “Functional Central Limit Theorems for Wigner Matrices.” Annals of Applied Probability, vol. 33, no. 1, Institute of Mathematical Statistics, 2023, pp. 447–89, doi:10.1214/22-AAP1820.","ama":"Cipolloni G, Erdös L, Schröder DJ. Functional central limit theorems for Wigner matrices. Annals of Applied Probability. 2023;33(1):447-489. doi:10.1214/22-AAP1820","ista":"Cipolloni G, Erdös L, Schröder DJ. 2023. Functional central limit theorems for Wigner matrices. Annals of Applied Probability. 33(1), 447–489."},"publication_status":"published","status":"public","volume":33,"type":"journal_article","_id":"12761","isi":1,"department":[{"_id":"LaEr"}],"month":"02","date_published":"2023-02-01T00:00:00Z","date_updated":"2023-10-17T12:48:52Z","year":"2023","day":"01","oa":1,"article_type":"original","ec_funded":1,"date_created":"2023-03-26T22:01:08Z","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2012.13218"}],"issue":"1","oa_version":"Preprint","quality_controlled":"1","publisher":"Institute of Mathematical Statistics","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Functional central limit theorems for Wigner matrices","project":[{"call_identifier":"H2020","name":"Random matrices beyond Wigner-Dyson-Mehta","_id":"62796744-2b32-11ec-9570-940b20777f1d","grant_number":"101020331"}],"article_processing_charge":"No","abstract":[{"lang":"eng","text":"We consider the fluctuations of regular functions f of a Wigner matrix W viewed as an entire matrix f (W). Going beyond the well-studied tracial mode, Trf (W), which is equivalent to the customary linear statistics of eigenvalues, we show that Trf (W)A is asymptotically normal for any nontrivial bounded deterministic matrix A. We identify three different and asymptotically independent modes of this fluctuation, corresponding to the tracial part, the traceless diagonal part and the off-diagonal part of f (W) in the entire mesoscopic regime, where we find that the off-diagonal modes fluctuate on a much smaller scale than the tracial mode. As a main motivation to study CLT in such generality on small mesoscopic scales, we determine\r\nthe fluctuations in the eigenstate thermalization hypothesis (Phys. Rev. A 43 (1991) 2046–2049), that is, prove that the eigenfunction overlaps with any deterministic matrix are asymptotically Gaussian after a small spectral averaging. Finally, in the macroscopic regime our result also generalizes (Zh. Mat. Fiz. Anal. Geom. 9 (2013) 536–581, 611, 615) to complex W and to all crossover ensembles in between. The main technical inputs are the recent\r\nmultiresolvent local laws with traceless deterministic matrices from the companion paper (Comm. Math. Phys. 388 (2021) 1005–1048)."}],"page":"447-489","external_id":{"isi":["000946432400015"],"arxiv":["2012.13218"]},"scopus_import":"1"},{"related_material":{"link":[{"url":"https://ist.ac.at/en/news/when-is-necessary-sufficient/","description":"News on IST Homepage","relation":"press_release"}]},"day":"01","date_updated":"2023-10-17T12:47:43Z","year":"2023","month":"05","date_published":"2023-05-01T00:00:00Z","_id":"8682","isi":1,"department":[{"_id":"TiBr"}],"publication_status":"published","status":"public","type":"journal_article","volume":197,"citation":{"ieee":"T. D. Browning, P. L. Boudec, and W. Sawin, “The Hasse principle for random Fano hypersurfaces,” Annals of Mathematics, vol. 197, no. 3. Princeton University, pp. 1115–1203, 2023.","apa":"Browning, T. D., Boudec, P. L., & Sawin, W. (2023). The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. Princeton University. https://doi.org/10.4007/annals.2023.197.3.3","short":"T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203.","ama":"Browning TD, Boudec PL, Sawin W. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 2023;197(3):1115-1203. doi:10.4007/annals.2023.197.3.3","ista":"Browning TD, Boudec PL, Sawin W. 2023. The Hasse principle for random Fano hypersurfaces. Annals of Mathematics. 197(3), 1115–1203.","mla":"Browning, Timothy D., et al. “The Hasse Principle for Random Fano Hypersurfaces.” Annals of Mathematics, vol. 197, no. 3, Princeton University, 2023, pp. 1115–203, doi:10.4007/annals.2023.197.3.3.","chicago":"Browning, Timothy D, Pierre Le Boudec, and Will Sawin. “The Hasse Principle for Random Fano Hypersurfaces.” Annals of Mathematics. Princeton University, 2023. https://doi.org/10.4007/annals.2023.197.3.3."},"author":[{"full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","first_name":"Timothy D","id":"35827D50-F248-11E8-B48F-1D18A9856A87","last_name":"Browning"},{"last_name":"Boudec","first_name":"Pierre Le","full_name":"Boudec, Pierre Le"},{"last_name":"Sawin","first_name":"Will","full_name":"Sawin, Will"}],"publication_identifier":{"issn":["0003-486X"]},"language":[{"iso":"eng"}],"intvolume":" 197","doi":"10.4007/annals.2023.197.3.3","publication":"Annals of Mathematics","external_id":{"arxiv":["2006.02356"],"isi":["000966611000003"]},"article_processing_charge":"No","abstract":[{"lang":"eng","text":"It is known that the Brauer--Manin obstruction to the Hasse principle is vacuous for smooth Fano hypersurfaces of dimension at least 3 over any number field. Moreover, for such varieties it follows from a general conjecture of Colliot-Thélène that the Brauer--Manin obstruction to the Hasse principle should be the only one, so that the Hasse principle is expected to hold. Working over the field of rational numbers and ordering Fano hypersurfaces of fixed degree and dimension by height, we prove that almost every such hypersurface satisfies the Hasse principle provided that the dimension is at least 3. This proves a conjecture of Poonen and Voloch in every case except for cubic surfaces."}],"page":"1115-1203","oa_version":"Preprint","quality_controlled":"1","publisher":"Princeton University","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"The Hasse principle for random Fano hypersurfaces","main_file_link":[{"url":"https://arxiv.org/abs/2006.02356","open_access":"1"}],"issue":"3","date_created":"2020-10-19T14:28:50Z","oa":1,"article_type":"original"},{"date_published":"2023-02-27T00:00:00Z","month":"02","department":[{"_id":"KrCh"}],"isi":1,"_id":"12706","day":"27","year":"2023","date_updated":"2023-10-17T12:53:30Z","file_date_updated":"2023-03-07T10:26:45Z","author":[{"first_name":"Jody C.","last_name":"Mckerral","full_name":"Mckerral, Jody C."},{"first_name":"Maria","id":"4E21749C-F248-11E8-B48F-1D18A9856A87","last_name":"Kleshnina","full_name":"Kleshnina, Maria"},{"full_name":"Ejov, Vladimir","last_name":"Ejov","first_name":"Vladimir"},{"last_name":"Bartle","first_name":"Louise","full_name":"Bartle, Louise"},{"last_name":"Mitchell","first_name":"James G.","full_name":"Mitchell, James G."},{"last_name":"Filar","first_name":"Jerzy A.","full_name":"Filar, Jerzy A."}],"publication":"PLoS One","acknowledgement":"This research was supported by an Australian Government Research Training Program\r\n(RTP) Scholarship to JCM (https://www.dese.gov.au), and LB is supported by the Centre de\r\nrecherche sur le vieillissement Fellowship Program. The funders had no role in study design, data collection and analysis, decision to publish, or preparation of the manuscript.","doi":"10.1371/journal.pone.0279838","language":[{"iso":"eng"}],"intvolume":" 18","publication_identifier":{"eissn":["1932-6203"]},"type":"journal_article","volume":18,"status":"public","publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"citation":{"apa":"Mckerral, J. C., Kleshnina, M., Ejov, V., Bartle, L., Mitchell, J. G., & Filar, J. A. (2023). Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations. PLoS One. Public Library of Science. https://doi.org/10.1371/journal.pone.0279838","short":"J.C. Mckerral, M. Kleshnina, V. Ejov, L. Bartle, J.G. Mitchell, J.A. Filar, PLoS One 18 (2023) e0279838.","ieee":"J. C. Mckerral, M. Kleshnina, V. Ejov, L. Bartle, J. G. Mitchell, and J. A. Filar, “Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations,” PLoS One, vol. 18, no. 2. Public Library of Science, p. e0279838, 2023.","chicago":"Mckerral, Jody C., Maria Kleshnina, Vladimir Ejov, Louise Bartle, James G. Mitchell, and Jerzy A. Filar. “Empirical Parameterisation and Dynamical Analysis of the Allometric Rosenzweig-MacArthur Equations.” PLoS One. Public Library of Science, 2023. https://doi.org/10.1371/journal.pone.0279838.","mla":"Mckerral, Jody C., et al. “Empirical Parameterisation and Dynamical Analysis of the Allometric Rosenzweig-MacArthur Equations.” PLoS One, vol. 18, no. 2, Public Library of Science, 2023, p. e0279838, doi:10.1371/journal.pone.0279838.","ama":"Mckerral JC, Kleshnina M, Ejov V, Bartle L, Mitchell JG, Filar JA. Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations. PLoS One. 2023;18(2):e0279838. doi:10.1371/journal.pone.0279838","ista":"Mckerral JC, Kleshnina M, Ejov V, Bartle L, Mitchell JG, Filar JA. 2023. Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations. PLoS One. 18(2), e0279838."},"abstract":[{"lang":"eng","text":"Allometric settings of population dynamics models are appealing due to their parsimonious nature and broad utility when studying system level effects. Here, we parameterise the size-scaled Rosenzweig-MacArthur differential equations to eliminate prey-mass dependency, facilitating an in depth analytic study of the equations which incorporates scaling parameters’ contributions to coexistence. We define the functional response term to match empirical findings, and examine situations where metabolic theory derivations and observation diverge. The dynamical properties of the Rosenzweig-MacArthur system, encompassing the distribution of size-abundance equilibria, the scaling of period and amplitude of population cycling, and relationships between predator and prey abundances, are consistent with empirical observation. Our parameterisation is an accurate minimal model across 15+ orders of mass magnitude."}],"page":"e0279838","file":[{"file_name":"2023_PLOSOne_Mckerral.pdf","date_created":"2023-03-07T10:26:45Z","content_type":"application/pdf","file_id":"12712","success":1,"file_size":1257003,"access_level":"open_access","relation":"main_file","date_updated":"2023-03-07T10:26:45Z","checksum":"798ed5739a4117b03173e5d56e0534c9","creator":"cchlebak"}],"has_accepted_license":"1","article_processing_charge":"No","scopus_import":"1","pmid":1,"external_id":{"isi":["000996122900022"],"pmid":["36848357"]},"date_created":"2023-03-05T23:01:05Z","ddc":["000"],"article_type":"original","oa":1,"title":"Empirical parameterisation and dynamical analysis of the allometric Rosenzweig-MacArthur equations","publisher":"Public Library of Science","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Published Version","quality_controlled":"1","issue":"2"},{"author":[{"full_name":"Eguchi, Kohgaku","orcid":"0000-0002-6170-2546","id":"2B7846DC-F248-11E8-B48F-1D18A9856A87","first_name":"Kohgaku","last_name":"Eguchi"},{"last_name":"Le Monnier","first_name":"Elodie","id":"3B59276A-F248-11E8-B48F-1D18A9856A87","full_name":"Le Monnier, Elodie"},{"full_name":"Shigemoto, Ryuichi","orcid":"0000-0001-8761-9444","id":"499F3ABC-F248-11E8-B48F-1D18A9856A87","first_name":"Ryuichi","last_name":"Shigemoto"}],"file_date_updated":"2023-07-10T09:04:58Z","acknowledgement":"This work was supported by The Institute of Science and Technology (IST) Austria, the European Union's Horizon 2020 Research and Innovation Program under the Marie Skłodowska-Curie Grant Agreement No. 793482 (to K.E.) and by the European Research Council (ERC) Grant Agreement No. 694539 (to R.S.). We thank Nicoleta Condruz (IST Austria, Klosterneuburg, Austria) for technical assistance with sample preparation, the Electron Microscopy Facility of IST Austria (Klosterneuburg, Austria) for technical support with EM works, Natalia Baranova (University of Vienna, Vienna, Austria) and Martin Loose (IST Austria, Klosterneuburg, Austria) for advice on liposome preparation, and Yugo Fukazawa (University of Fukui, Fukui, Japan) for comments.","doi":"10.1523/JNEUROSCI.1514-22.2023","publication":"The Journal of Neuroscience","publication_identifier":{"eissn":["1529-2401"],"issn":["0270-6474"]},"language":[{"iso":"eng"}],"intvolume":" 43","status":"public","type":"journal_article","volume":43,"publication_status":"published","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"citation":{"short":"K. Eguchi, E. Le Monnier, R. Shigemoto, The Journal of Neuroscience 43 (2023) 4197–4216.","apa":"Eguchi, K., Le Monnier, E., & Shigemoto, R. (2023). Nanoscale phosphoinositide distribution on cell membranes of mouse cerebellar neurons. The Journal of Neuroscience. Society for Neuroscience. https://doi.org/10.1523/JNEUROSCI.1514-22.2023","ieee":"K. Eguchi, E. Le Monnier, and R. Shigemoto, “Nanoscale phosphoinositide distribution on cell membranes of mouse cerebellar neurons,” The Journal of Neuroscience, vol. 43, no. 23. Society for Neuroscience, pp. 4197–4216, 2023.","mla":"Eguchi, Kohgaku, et al. “Nanoscale Phosphoinositide Distribution on Cell Membranes of Mouse Cerebellar Neurons.” The Journal of Neuroscience, vol. 43, no. 23, Society for Neuroscience, 2023, pp. 4197–216, doi:10.1523/JNEUROSCI.1514-22.2023.","chicago":"Eguchi, Kohgaku, Elodie Le Monnier, and Ryuichi Shigemoto. “Nanoscale Phosphoinositide Distribution on Cell Membranes of Mouse Cerebellar Neurons.” The Journal of Neuroscience. Society for Neuroscience, 2023. https://doi.org/10.1523/JNEUROSCI.1514-22.2023.","ista":"Eguchi K, Le Monnier E, Shigemoto R. 2023. Nanoscale phosphoinositide distribution on cell membranes of mouse cerebellar neurons. The Journal of Neuroscience. 43(23), 4197–4216.","ama":"Eguchi K, Le Monnier E, Shigemoto R. Nanoscale phosphoinositide distribution on cell membranes of mouse cerebellar neurons. The Journal of Neuroscience. 2023;43(23):4197-4216. doi:10.1523/JNEUROSCI.1514-22.2023"},"month":"06","date_published":"2023-06-07T00:00:00Z","_id":"13202","isi":1,"department":[{"_id":"RySh"}],"day":"07","year":"2023","date_updated":"2023-10-18T07:12:47Z","ec_funded":1,"date_created":"2023-07-09T22:01:12Z","oa":1,"article_type":"original","ddc":["570"],"publisher":"Society for Neuroscience","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Nanoscale phosphoinositide distribution on cell membranes of mouse cerebellar neurons","oa_version":"Published Version","quality_controlled":"1","acknowledged_ssus":[{"_id":"EM-Fac"}],"issue":"23","has_accepted_license":"1","file":[{"relation":"main_file","access_level":"open_access","file_size":7794425,"checksum":"70b2141870e0bf1c94fd343e18fdbc32","creator":"alisjak","date_updated":"2023-07-10T09:04:58Z","content_type":"application/pdf","file_id":"13205","success":1,"file_name":"2023_JN_Eguchi.pdf","date_created":"2023-07-10T09:04:58Z"}],"page":"4197-4216","abstract":[{"text":"Phosphatidylinositol-4,5-bisphosphate (PI(4,5)P2) plays an essential role in neuronal activities through interaction with various proteins involved in signaling at membranes. However, the distribution pattern of PI(4,5)P2 and the association with these proteins on the neuronal cell membranes remain elusive. In this study, we established a method for visualizing PI(4,5)P2 by SDS-digested freeze-fracture replica labeling (SDS-FRL) to investigate the quantitative nanoscale distribution of PI(4,5)P2 in cryo-fixed brain. We demonstrate that PI(4,5)P2 forms tiny clusters with a mean size of ∼1000 nm2 rather than randomly distributed in cerebellar neuronal membranes in male C57BL/6J mice. These clusters show preferential accumulation in specific membrane compartments of different cell types, in particular, in Purkinje cell (PC) spines and granule cell (GC) presynaptic active zones. Furthermore, we revealed extensive association of PI(4,5)P2 with CaV2.1 and GIRK3 across different membrane compartments, whereas its association with mGluR1α was compartment specific. These results suggest that our SDS-FRL method provides valuable insights into the physiological functions of PI(4,5)P2 in neurons.","lang":"eng"}],"project":[{"name":"Ultrastructural analysis of phosphoinositides in nerve terminals: distribution, dynamics and physiological roles in synaptic transmission","call_identifier":"H2020","grant_number":"793482","_id":"2659CC84-B435-11E9-9278-68D0E5697425"},{"name":"In situ analysis of single channel subunit composition in neurons: physiological implication in synaptic plasticity and behaviour","call_identifier":"H2020","grant_number":"694539","_id":"25CA28EA-B435-11E9-9278-68D0E5697425"}],"article_processing_charge":"No","scopus_import":"1","external_id":{"isi":["001020132100005"],"pmid":["37160366"]},"pmid":1},{"scopus_import":"1","external_id":{"arxiv":["2007.14182"]},"page":"173-204","abstract":[{"text":"We apply a variant of the square-sieve to produce an upper bound for the number of rational points of bounded height on a family of surfaces that admit a fibration over P1 whose general fibre is a hyperelliptic curve. The implied constant does not depend on the coefficients of the polynomial defining the surface.\r\n","lang":"eng"}],"article_processing_charge":"No","title":"Uniform bounds for rational points on hyperelliptic fibrations","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Scuola Normale Superiore - Edizioni della Normale","quality_controlled":"1","oa_version":"Preprint","issue":"1","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2007.14182"}],"date_created":"2023-05-07T22:01:04Z","article_type":"original","oa":1,"day":"16","year":"2023","date_updated":"2023-10-18T06:54:30Z","date_published":"2023-02-16T00:00:00Z","month":"02","department":[{"_id":"TiBr"}],"_id":"12916","volume":24,"type":"journal_article","status":"public","publication_status":"published","citation":{"mla":"Bonolis, Dante, and Timothy D. Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.” Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze, vol. 24, no. 1, Scuola Normale Superiore - Edizioni della Normale, 2023, pp. 173–204, doi:10.2422/2036-2145.202010_018.","chicago":"Bonolis, Dante, and Timothy D Browning. “Uniform Bounds for Rational Points on Hyperelliptic Fibrations.” Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale, 2023. https://doi.org/10.2422/2036-2145.202010_018.","ama":"Bonolis D, Browning TD. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 2023;24(1):173-204. doi:10.2422/2036-2145.202010_018","ista":"Bonolis D, Browning TD. 2023. Uniform bounds for rational points on hyperelliptic fibrations. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze. 24(1), 173–204.","apa":"Bonolis, D., & Browning, T. D. (2023). Uniform bounds for rational points on hyperelliptic fibrations. Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze. Scuola Normale Superiore - Edizioni della Normale. https://doi.org/10.2422/2036-2145.202010_018","short":"D. Bonolis, T.D. Browning, Annali Della Scuola Normale Superiore Di Pisa - Classe Di Scienze 24 (2023) 173–204.","ieee":"D. Bonolis and T. D. Browning, “Uniform bounds for rational points on hyperelliptic fibrations,” Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, vol. 24, no. 1. Scuola Normale Superiore - Edizioni della Normale, pp. 173–204, 2023."},"author":[{"full_name":"Bonolis, Dante","last_name":"Bonolis","id":"6A459894-5FDD-11E9-AF35-BB24E6697425","first_name":"Dante"},{"full_name":"Browning, Timothy D","orcid":"0000-0002-8314-0177","id":"35827D50-F248-11E8-B48F-1D18A9856A87","first_name":"Timothy D","last_name":"Browning"}],"publication":"Annali della Scuola Normale Superiore di Pisa - Classe di Scienze","doi":"10.2422/2036-2145.202010_018","language":[{"iso":"eng"}],"intvolume":" 24","publication_identifier":{"eissn":["2036-2145"],"issn":["0391-173X"]}},{"ddc":["610"],"date_created":"2023-10-12T14:13:25Z","ec_funded":1,"supervisor":[{"last_name":"Vogels","first_name":"Tim P","id":"CB6FF8D2-008F-11EA-8E08-2637E6697425","orcid":"0000-0003-3295-6181","full_name":"Vogels, Tim P"}],"oa_version":"Published Version","title":"Synapseek: Meta-learning synaptic plasticity rules","publisher":"Institute of Science and Technology Austria","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","article_processing_charge":"No","project":[{"name":"Learning the shape of synaptic plasticity rules for neuronal architectures and function through machine learning.","call_identifier":"H2020","_id":"0aacfa84-070f-11eb-9043-d7eb2c709234","grant_number":"819603"}],"file":[{"file_size":30599717,"access_level":"closed","relation":"main_file","date_updated":"2023-10-12T14:54:52Z","checksum":"7f636555eae7803323df287672fd13ed","creator":"cchlebak","embargo":"2024-10-12","embargo_to":"open_access","file_id":"14424","content_type":"application/pdf","date_created":"2023-10-12T14:53:50Z","file_name":"Confavreux_Thesis_2A.pdf"},{"date_created":"2023-10-18T07:38:34Z","file_name":"Confavreux Thesis.zip","content_type":"application/x-zip-compressed","file_id":"14440","file_size":68406739,"relation":"source_file","access_level":"closed","date_updated":"2023-10-18T07:56:08Z","checksum":"725e85946db92290a4583a0de9779e1b","creator":"cchlebak"}],"has_accepted_license":"1","abstract":[{"text":"Animals exhibit a remarkable ability to learn and remember new behaviors, skills, and associations throughout their lifetime. These capabilities are made possible thanks to a variety of\r\nchanges in the brain throughout adulthood, regrouped under the term \"plasticity\". Some cells\r\nin the brain —neurons— and specifically changes in the connections between neurons, the\r\nsynapses, were shown to be crucial for the formation, selection, and consolidation of memories\r\nfrom past experiences. These ongoing changes of synapses across time are called synaptic\r\nplasticity. Understanding how a myriad of biochemical processes operating at individual\r\nsynapses can somehow work in concert to give rise to meaningful changes in behavior is a\r\nfascinating problem and an active area of research.\r\nHowever, the experimental search for the precise plasticity mechanisms at play in the brain\r\nis daunting, as it is difficult to control and observe synapses during learning. Theoretical\r\napproaches have thus been the default method to probe the plasticity-behavior connection. Such\r\nstudies attempt to extract unifying principles across synapses and model all observed synaptic\r\nchanges using plasticity rules: equations that govern the evolution of synaptic strengths across\r\ntime in neuronal network models. These rules can use many relevant quantities to determine\r\nthe magnitude of synaptic changes, such as the precise timings of pre- and postsynaptic\r\naction potentials, the recent neuronal activity levels, the state of neighboring synapses, etc.\r\nHowever, analytical studies rely heavily on human intuition and are forced to make simplifying\r\nassumptions about plasticity rules.\r\nIn this thesis, we aim to assist and augment human intuition in this search for plasticity rules.\r\nWe explore whether a numerical approach could automatically discover the plasticity rules\r\nthat elicit desired behaviors in large networks of interconnected neurons. This approach is\r\ndubbed meta-learning synaptic plasticity: learning plasticity rules which themselves will make\r\nneuronal networks learn how to solve a desired task. We first write all the potential plasticity\r\nmechanisms to consider using a single expression with adjustable parameters. We then optimize\r\nthese plasticity parameters using evolutionary strategies or Bayesian inference on tasks known\r\nto involve synaptic plasticity, such as familiarity detection and network stabilization.\r\nWe show that these automated approaches are powerful tools, able to complement established\r\nanalytical methods. By comprehensively screening plasticity rules at all synapse types in\r\nrealistic, spiking neuronal network models, we discover entire sets of degenerate plausible\r\nplasticity rules that reliably elicit memory-related behaviors. Our approaches allow for more\r\nrobust experimental predictions, by abstracting out the idiosyncrasies of individual plasticity\r\nrules, and provide fresh insights on synaptic plasticity in spiking network models.\r\n","lang":"eng"}],"page":"148","license":"https://creativecommons.org/licenses/by-nc-sa/4.0/","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2663 - 337X"]},"doi":"10.15479/at:ista:14422","file_date_updated":"2023-10-18T07:56:08Z","author":[{"id":"C7610134-B532-11EA-BD9F-F5753DDC885E","first_name":"Basile J","last_name":"Confavreux","full_name":"Confavreux, Basile J"}],"citation":{"apa":"Confavreux, B. J. (2023). Synapseek: Meta-learning synaptic plasticity rules. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14422","short":"B.J. Confavreux, Synapseek: Meta-Learning Synaptic Plasticity Rules, Institute of Science and Technology Austria, 2023.","ieee":"B. J. Confavreux, “Synapseek: Meta-learning synaptic plasticity rules,” Institute of Science and Technology Austria, 2023.","mla":"Confavreux, Basile J. Synapseek: Meta-Learning Synaptic Plasticity Rules. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14422.","chicago":"Confavreux, Basile J. “Synapseek: Meta-Learning Synaptic Plasticity Rules.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14422.","ama":"Confavreux BJ. Synapseek: Meta-learning synaptic plasticity rules. 2023. doi:10.15479/at:ista:14422","ista":"Confavreux BJ. 2023. Synapseek: Meta-learning synaptic plasticity rules. Institute of Science and Technology Austria."},"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","short":"CC BY-NC-SA (4.0)"},"publication_status":"published","type":"dissertation","status":"public","department":[{"_id":"GradSch"},{"_id":"TiVo"}],"_id":"14422","alternative_title":["ISTA Thesis"],"date_published":"2023-10-12T00:00:00Z","month":"10","date_updated":"2023-10-18T09:20:56Z","year":"2023","degree_awarded":"PhD","related_material":{"record":[{"id":"9633","relation":"part_of_dissertation","status":"public"}]},"day":"12"},{"file":[{"checksum":"ef039ffc3de2cb8dee5b14110938e9b6","creator":"broos","date_updated":"2023-10-06T11:35:56Z","relation":"main_file","access_level":"open_access","file_size":2365702,"date_created":"2023-10-06T11:35:56Z","file_name":"phd-thesis-draft_pdfa_acrobat.pdf","content_type":"application/pdf","file_id":"14398"},{"creator":"broos","checksum":"81dcac33daeefaf0111db52f41bb1fd0","date_updated":"2023-10-06T11:38:01Z","relation":"source_file","access_level":"closed","file_size":4691734,"file_name":"Version5.zip","date_created":"2023-10-06T11:38:01Z","file_id":"14399","content_type":"application/x-zip-compressed"}],"page":"206","has_accepted_license":"1","abstract":[{"lang":"eng","text":"Superconductivity has many important applications ranging from levitating trains over qubits to MRI scanners. The phenomenon is successfully modeled by Bardeen-Cooper-Schrieffer (BCS) theory. From a mathematical perspective, BCS theory has been studied extensively for systems without boundary. However, little is known in the presence of boundaries. With the help of numerical methods physicists observed that the critical temperature may increase in the presence of a boundary. The goal of this thesis is to understand the influence of boundaries on the critical temperature in BCS theory and to give a first rigorous justification of these observations. On the way, we also study two-body Schrödinger operators on domains with boundaries and prove additional results for superconductors without boundary.\r\n\r\nBCS theory is based on a non-linear functional, where the minimizer indicates whether the system is superconducting or in the normal, non-superconducting state. By considering the Hessian of the BCS functional at the normal state, one can analyze whether the normal state is possibly a minimum of the BCS functional and estimate the critical temperature. The Hessian turns out to be a linear operator resembling a Schrödinger operator for two interacting particles, but with more complicated kinetic energy. As a first step, we study the two-body Schrödinger operator in the presence of boundaries.\r\nFor Neumann boundary conditions, we prove that the addition of a boundary can create new eigenvalues, which correspond to the two particles forming a bound state close to the boundary.\r\n\r\nSecond, we need to understand superconductivity in the translation invariant setting. While in three dimensions this has been extensively studied, there is no mathematical literature for the one and two dimensional cases. In dimensions one and two, we compute the weak coupling asymptotics of the critical temperature and the energy gap in the translation invariant setting. We also prove that their ratio is independent of the microscopic details of the model in the weak coupling limit; this property is referred to as universality.\r\n\r\nIn the third part, we study the critical temperature of superconductors in the presence of boundaries. We start by considering the one-dimensional case of a half-line with contact interaction. Then, we generalize the results to generic interactions and half-spaces in one, two and three dimensions. Finally, we compare the critical temperature of a quarter space in two dimensions to the critical temperatures of a half-space and of the full space."}],"article_processing_charge":"No","project":[{"call_identifier":"H2020","name":"Analysis of quantum many-body systems","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"name":"Mathematical Challenges in BCS Theory of Superconductivity","_id":"bda63fe5-d553-11ed-ba76-a16e3d2f256b","grant_number":"I06427"}],"ddc":["515","539"],"oa":1,"date_created":"2023-09-28T14:23:04Z","ec_funded":1,"supervisor":[{"last_name":"Seiringer","first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6781-0521","full_name":"Seiringer, Robert"}],"title":"Boundary superconductivity in BCS theory","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","publisher":"Institute of Science and Technology Austria","oa_version":"Published Version","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"_id":"14374","date_published":"2023-09-30T00:00:00Z","month":"09","alternative_title":["ISTA Thesis"],"year":"2023","date_updated":"2023-10-27T10:37:30Z","day":"30","degree_awarded":"PhD","related_material":{"record":[{"relation":"part_of_dissertation","id":"13207","status":"public"},{"relation":"part_of_dissertation","id":"10850","status":"public"}]},"doi":"10.15479/at:ista:14374","language":[{"iso":"eng"}],"publication_identifier":{"issn":["2663 - 337X"]},"file_date_updated":"2023-10-06T11:38:01Z","author":[{"last_name":"Roos","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","orcid":"0000-0002-9071-5880","full_name":"Roos, Barbara"}],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode","image":"/images/cc_by_nc_sa.png","name":"Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)","short":"CC BY-NC-SA (4.0)"},"citation":{"ama":"Roos B. Boundary superconductivity in BCS theory. 2023. doi:10.15479/at:ista:14374","ista":"Roos B. 2023. Boundary superconductivity in BCS theory. Institute of Science and Technology Austria.","chicago":"Roos, Barbara. “Boundary Superconductivity in BCS Theory.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/at:ista:14374.","mla":"Roos, Barbara. Boundary Superconductivity in BCS Theory. Institute of Science and Technology Austria, 2023, doi:10.15479/at:ista:14374.","ieee":"B. Roos, “Boundary superconductivity in BCS theory,” Institute of Science and Technology Austria, 2023.","apa":"Roos, B. (2023). Boundary superconductivity in BCS theory. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:14374","short":"B. Roos, Boundary Superconductivity in BCS Theory, Institute of Science and Technology Austria, 2023."},"type":"dissertation","status":"public","publication_status":"published"},{"related_material":{"record":[{"relation":"dissertation_contains","id":"14374","status":"public"}]},"day":"18","date_updated":"2023-10-27T10:37:29Z","year":"2023","date_published":"2023-05-18T00:00:00Z","month":"05","isi":1,"department":[{"_id":"GradSch"},{"_id":"RoSe"}],"_id":"13207","publication_status":"published","type":"journal_article","volume":12,"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"citation":{"apa":"Hainzl, C., Roos, B., & Seiringer, R. (2023). Boundary superconductivity in the BCS model. Journal of Spectral Theory. EMS Press. https://doi.org/10.4171/JST/439","short":"C. Hainzl, B. Roos, R. Seiringer, Journal of Spectral Theory 12 (2023) 1507–1540.","ieee":"C. Hainzl, B. Roos, and R. Seiringer, “Boundary superconductivity in the BCS model,” Journal of Spectral Theory, vol. 12, no. 4. EMS Press, pp. 1507–1540, 2023.","mla":"Hainzl, Christian, et al. “Boundary Superconductivity in the BCS Model.” Journal of Spectral Theory, vol. 12, no. 4, EMS Press, 2023, pp. 1507–1540, doi:10.4171/JST/439.","chicago":"Hainzl, Christian, Barbara Roos, and Robert Seiringer. “Boundary Superconductivity in the BCS Model.” Journal of Spectral Theory. EMS Press, 2023. https://doi.org/10.4171/JST/439.","ama":"Hainzl C, Roos B, Seiringer R. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 2023;12(4):1507–1540. doi:10.4171/JST/439","ista":"Hainzl C, Roos B, Seiringer R. 2023. Boundary superconductivity in the BCS model. Journal of Spectral Theory. 12(4), 1507–1540."},"file_date_updated":"2023-07-11T08:19:15Z","author":[{"full_name":"Hainzl, Christian","first_name":"Christian","last_name":"Hainzl"},{"full_name":"Roos, Barbara","orcid":"0000-0002-9071-5880","first_name":"Barbara","id":"5DA90512-D80F-11E9-8994-2E2EE6697425","last_name":"Roos"},{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","first_name":"Robert","last_name":"Seiringer","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"}],"intvolume":" 12","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1664-039X"],"eissn":["1664-0403"]},"publication":"Journal of Spectral Theory","acknowledgement":"We thank Egor Babaev for encouraging us to study this problem, and Rupert Frank for many fruitful discussions. scussions. Funding. Funding from the European Union’s Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 (Barbara Roos and Robert Seiringer) is gratefully acknowledged.","doi":"10.4171/JST/439","external_id":{"arxiv":["2201.08090"],"isi":["000997933500008"]},"article_processing_charge":"No","project":[{"grant_number":"694227","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","name":"Analysis of quantum many-body systems","call_identifier":"H2020"}],"has_accepted_license":"1","file":[{"file_name":"2023_EMS_Hainzl.pdf","date_created":"2023-07-11T08:19:15Z","success":1,"content_type":"application/pdf","file_id":"13208","date_updated":"2023-07-11T08:19:15Z","checksum":"5501da33be010b5c81440438287584d5","creator":"alisjak","file_size":304619,"relation":"main_file","access_level":"open_access"}],"abstract":[{"text":"We consider the linear BCS equation, determining the BCS critical temperature, in the presence of a boundary, where Dirichlet boundary conditions are imposed. In the one-dimensional case with point interactions, we prove that the critical temperature is strictly larger than the bulk value, at least at weak coupling. In particular, the Cooper-pair wave function localizes near the boundary, an effect that cannot be modeled by effective Neumann boundary conditions on the order parameter as often imposed in Ginzburg–Landau theory. We also show that the relative shift in critical temperature vanishes if the coupling constant either goes to zero or to infinity.","lang":"eng"}],"page":"1507–1540","oa_version":"Published Version","quality_controlled":"1","title":"Boundary superconductivity in the BCS model","publisher":"EMS Press","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","issue":"4","date_created":"2023-07-10T16:35:45Z","ec_funded":1,"article_type":"original","ddc":["530"],"oa":1},{"publication_status":"published","type":"journal_article","volume":225,"status":"public","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"citation":{"ama":"Barton NH, Etheridge AM, Véber A. The infinitesimal model with dominance. Genetics. 2023;225(2). doi:10.1093/genetics/iyad133","ista":"Barton NH, Etheridge AM, Véber A. 2023. The infinitesimal model with dominance. Genetics. 225(2), iyad133.","chicago":"Barton, Nicholas H, Alison M. Etheridge, and Amandine Véber. “The Infinitesimal Model with Dominance.” Genetics. Oxford Academic, 2023. https://doi.org/10.1093/genetics/iyad133.","mla":"Barton, Nicholas H., et al. “The Infinitesimal Model with Dominance.” Genetics, vol. 225, no. 2, iyad133, Oxford Academic, 2023, doi:10.1093/genetics/iyad133.","ieee":"N. H. Barton, A. M. Etheridge, and A. Véber, “The infinitesimal model with dominance,” Genetics, vol. 225, no. 2. Oxford Academic, 2023.","short":"N.H. Barton, A.M. Etheridge, A. Véber, Genetics 225 (2023).","apa":"Barton, N. H., Etheridge, A. M., & Véber, A. (2023). The infinitesimal model with dominance. Genetics. Oxford Academic. https://doi.org/10.1093/genetics/iyad133"},"file_date_updated":"2023-10-30T12:57:53Z","author":[{"last_name":"Barton","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","first_name":"Nicholas H","orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H"},{"last_name":"Etheridge","first_name":"Alison M.","full_name":"Etheridge, Alison M."},{"full_name":"Véber, Amandine","first_name":"Amandine","last_name":"Véber"}],"language":[{"iso":"eng"}],"intvolume":" 225","publication_identifier":{"eissn":["1943-2631"],"issn":["0016-6731"]},"publication":"Genetics","acknowledgement":"NHB was supported in part by ERC Grants 250152 and 101055327. AV was partly supported by the chaire Modélisation Mathématique et Biodiversité of Veolia Environment—Ecole Polytechnique—Museum National d’Histoire Naturelle—Fondation X.","doi":"10.1093/genetics/iyad133","related_material":{"record":[{"status":"public","relation":"research_data","id":"12949"}]},"day":"01","date_updated":"2023-10-30T13:04:11Z","year":"2023","article_number":"iyad133","date_published":"2023-10-01T00:00:00Z","month":"10","department":[{"_id":"NiBa"}],"_id":"14452","oa_version":"Published Version","quality_controlled":"1","title":"The infinitesimal model with dominance","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Oxford Academic","issue":"2","date_created":"2023-10-29T23:01:15Z","ec_funded":1,"ddc":["570"],"article_type":"original","oa":1,"scopus_import":"1","external_id":{"arxiv":["2211.03515"]},"article_processing_charge":"Yes (in subscription journal)","project":[{"_id":"25B07788-B435-11E9-9278-68D0E5697425","grant_number":"250152","name":"Limits to selection in biology and in evolutionary computation","call_identifier":"FP7"},{"grant_number":"101055327","_id":"bd6958e0-d553-11ed-ba76-86eba6a76c00","name":"Understanding the evolution of continuous genomes"}],"has_accepted_license":"1","file":[{"date_updated":"2023-10-30T12:57:53Z","checksum":"3f65b1fbe813e2f4dbb5d2b5e891844a","creator":"dernst","file_size":1439032,"access_level":"open_access","relation":"main_file","success":1,"file_id":"14469","content_type":"application/pdf","date_created":"2023-10-30T12:57:53Z","file_name":"2023_Genetics_Barton.pdf"}],"abstract":[{"text":"The classical infinitesimal model is a simple and robust model for the inheritance of quantitative traits. In this model, a quantitative trait is expressed as the sum of a genetic and an environmental component, and the genetic component of offspring traits within a family follows a normal distribution around the average of the parents’ trait values, and has a variance that is independent of the parental traits. In previous work, we showed that when trait values are determined by the sum of a large number of additive Mendelian factors, each of small effect, one can justify the infinitesimal model as a limit of Mendelian inheritance. In this paper, we show that this result extends to include dominance. We define the model in terms of classical quantities of quantitative genetics, before justifying it as a limit of Mendelian inheritance as the number, M, of underlying loci tends to infinity. As in the additive case, the multivariate normal distribution of trait values across the pedigree can be expressed in terms of variance components in an ancestral population and probabilities of identity by descent determined by the pedigree. Now, with just first-order dominance effects, we require two-, three-, and four-way identities. We also show that, even if we condition on parental trait values, the “shared” and “residual” components of trait values within each family will be asymptotically normally distributed as the number of loci tends to infinity, with an error of order 1/M−−√. We illustrate our results with some numerical examples.","lang":"eng"}]},{"doi":"10.15479/AT:ISTA:12949","oa":1,"ddc":["576"],"keyword":["Quantitative genetics","infinitesimal model"],"date_created":"2023-05-13T09:49:09Z","author":[{"last_name":"Barton","first_name":"Nicholas H","id":"4880FE40-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-8548-5240","full_name":"Barton, Nicholas H"}],"file_date_updated":"2023-05-16T04:09:08Z","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","image":"/images/cc_by.png","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","short":"CC BY (4.0)"},"citation":{"ama":"Barton NH. The infinitesimal model with dominance. 2023. doi:10.15479/AT:ISTA:12949","ista":"Barton NH. 2023. The infinitesimal model with dominance, Institute of Science and Technology Austria, 10.15479/AT:ISTA:12949.","chicago":"Barton, Nicholas H. “The Infinitesimal Model with Dominance.” Institute of Science and Technology Austria, 2023. https://doi.org/10.15479/AT:ISTA:12949.","mla":"Barton, Nicholas H. The Infinitesimal Model with Dominance. Institute of Science and Technology Austria, 2023, doi:10.15479/AT:ISTA:12949.","ieee":"N. H. Barton, “The infinitesimal model with dominance.” Institute of Science and Technology Austria, 2023.","short":"N.H. Barton, (2023).","apa":"Barton, N. H. (2023). The infinitesimal model with dominance. Institute of Science and Technology Austria. https://doi.org/10.15479/AT:ISTA:12949"},"contributor":[{"last_name":"Veber","first_name":"Amandine","contributor_type":"researcher"},{"contributor_type":"researcher","first_name":"Alison","last_name":"Etheridge"}],"status":"public","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"Institute of Science and Technology Austria","title":"The infinitesimal model with dominance","type":"research_data","oa_version":"Published Version","abstract":[{"lang":"eng","text":"The classical infinitesimal model is a simple and robust model for the inheritance of quantitative traits. In this model, a quantitative trait is expressed as the sum of a genetic and a non-genetic (environmental) component and the genetic component of offspring traits within a family follows a normal distribution around the average of the parents’ trait values, and has a variance that is independent of the trait values of the parents. Although the trait distribution across the whole population can be far from normal, the trait distributions within families are normally distributed with a variance-covariance matrix that is determined entirely by that in the ancestral population and the probabilities of identity determined by the pedigree. Moreover, conditioning on some of the trait values within the pedigree has predictable effects on the mean and variance within and between families. In previous work, Barton et al. (2017), we showed that when trait values are determined by the sum of a large number of Mendelian factors, each of small effect, one can justify the infinitesimal model as limit of Mendelian inheritance. It was also shown that under some forms of epistasis, trait values within a family are still normally distributed."}],"has_accepted_license":"1","file":[{"success":1,"content_type":"application/octet-stream","file_id":"12950","file_name":"Neutral identities 16th Jan","date_created":"2023-05-13T09:36:33Z","creator":"nbarton","checksum":"b0ce7d4b1ee7e7265430ceed36fc3336","date_updated":"2023-05-13T09:36:33Z","relation":"main_file","access_level":"open_access","file_size":13662},{"creator":"nbarton","checksum":"ad5035ad4f7d3b150a252c79884f6a83","date_updated":"2023-05-13T09:38:17Z","access_level":"open_access","relation":"main_file","file_size":181619928,"success":1,"file_id":"12951","content_type":"application/octet-stream","date_created":"2023-05-13T09:38:17Z","file_name":"p, zA, zD, N=30 neutral III"},{"file_id":"12952","content_type":"application/octet-stream","success":1,"file_name":"p, zA, zD, N=30 neutral IV","date_created":"2023-05-13T09:41:59Z","relation":"main_file","access_level":"open_access","file_size":605902074,"creator":"nbarton","checksum":"62182a1de796256edd6f4223704312ef","date_updated":"2023-05-13T09:41:59Z"},{"date_updated":"2023-05-13T09:46:52Z","checksum":"af775dda5c4f6859cb1e5a81ec40a667","creator":"nbarton","file_size":1018238746,"relation":"main_file","access_level":"open_access","file_name":"p, zA, zD, N=30 selected k=5","date_created":"2023-05-13T09:46:52Z","success":1,"content_type":"application/octet-stream","file_id":"12953"},{"access_level":"open_access","relation":"main_file","file_size":3197160,"checksum":"af26f3394c387d3ada14b434cd68b1e5","creator":"nbarton","date_updated":"2023-05-13T09:42:05Z","content_type":"application/octet-stream","file_id":"12954","success":1,"file_name":"Pairwise F N=30 neutral II","date_created":"2023-05-13T09:42:05Z"},{"access_level":"open_access","relation":"main_file","file_size":55492,"checksum":"d5da7dc0e7282dd48222e26d12e34220","creator":"nbarton","date_updated":"2023-05-13T09:42:06Z","content_type":"application/octet-stream","file_id":"12955","success":1,"file_name":"Pedigrees N=30 neutral II","date_created":"2023-05-13T09:42:06Z"},{"date_updated":"2023-05-13T09:46:06Z","creator":"nbarton","checksum":"00f386d80677590e29f6235d49cba58d","file_size":474003467,"relation":"main_file","access_level":"open_access","success":1,"file_id":"12956","content_type":"application/octet-stream","date_created":"2023-05-13T09:46:06Z","file_name":"selected reps N=30 selected k=1,2 300 reps III"},{"content_type":"application/octet-stream","file_id":"12957","success":1,"date_created":"2023-05-13T09:46:08Z","file_name":"Algorithm for caclulating identities.nb","file_size":121209,"access_level":"open_access","relation":"main_file","date_updated":"2023-05-13T09:46:08Z","checksum":"658cef3eaea6136a4d24da4f074191d7","creator":"nbarton"},{"file_size":1803898,"access_level":"open_access","relation":"main_file","date_updated":"2023-05-13T09:46:08Z","creator":"nbarton","checksum":"db9b6dddd7a596d974e25f5e78f5c45c","content_type":"application/octet-stream","file_id":"12958","success":1,"date_created":"2023-05-13T09:46:08Z","file_name":"Infinitesimal with dominance.nb"},{"success":1,"content_type":"text/plain","file_id":"12967","date_created":"2023-05-16T04:09:08Z","file_name":"ReadMe.txt","date_updated":"2023-05-16T04:09:08Z","checksum":"91f80a9fb58cae8eef2d8bf59fe30189","creator":"nbarton","file_size":990,"relation":"main_file","access_level":"open_access"}],"_id":"12949","project":[{"name":"Understanding the evolution of continuous genomes","_id":"bd6958e0-d553-11ed-ba76-86eba6a76c00","grant_number":"101055327"}],"department":[{"_id":"NiBa"}],"article_processing_charge":"No","month":"05","date_published":"2023-05-13T00:00:00Z","year":"2023","date_updated":"2023-10-30T13:04:11Z","day":"13","related_material":{"record":[{"status":"public","relation":"used_in_publication","id":"14452"}]}},{"day":"30","year":"2023","date_updated":"2023-10-31T09:40:45Z","date_published":"2023-07-30T00:00:00Z","month":"07","alternative_title":["PMLR"],"department":[{"_id":"DaAl"}],"_id":"14461","type":"conference","volume":202,"status":"public","publication_status":"published","conference":{"end_date":"2023-07-29","name":"ICML: International Conference on Machine Learning","start_date":"2023-07-23","location":"Honolulu, Hawaii, HI, United States"},"citation":{"short":"I. Markov, A. Vladu, Q. Guo, D.-A. Alistarh, in:, Proceedings of the 40th International Conference on Machine Learning, ML Research Press, 2023, pp. 24020–24044.","apa":"Markov, I., Vladu, A., Guo, Q., & Alistarh, D.-A. (2023). Quantized distributed training of large models with convergence guarantees. In Proceedings of the 40th International Conference on Machine Learning (Vol. 202, pp. 24020–24044). Honolulu, Hawaii, HI, United States: ML Research Press.","ieee":"I. Markov, A. Vladu, Q. Guo, and D.-A. Alistarh, “Quantized distributed training of large models with convergence guarantees,” in Proceedings of the 40th International Conference on Machine Learning, Honolulu, Hawaii, HI, United States, 2023, vol. 202, pp. 24020–24044.","chicago":"Markov, Ilia, Adrian Vladu, Qi Guo, and Dan-Adrian Alistarh. “Quantized Distributed Training of Large Models with Convergence Guarantees.” In Proceedings of the 40th International Conference on Machine Learning, 202:24020–44. ML Research Press, 2023.","mla":"Markov, Ilia, et al. “Quantized Distributed Training of Large Models with Convergence Guarantees.” Proceedings of the 40th International Conference on Machine Learning, vol. 202, ML Research Press, 2023, pp. 24020–44.","ama":"Markov I, Vladu A, Guo Q, Alistarh D-A. Quantized distributed training of large models with convergence guarantees. In: Proceedings of the 40th International Conference on Machine Learning. Vol 202. ML Research Press; 2023:24020-24044.","ista":"Markov I, Vladu A, Guo Q, Alistarh D-A. 2023. Quantized distributed training of large models with convergence guarantees. Proceedings of the 40th International Conference on Machine Learning. ICML: International Conference on Machine Learning, PMLR, vol. 202, 24020–24044."},"author":[{"last_name":"Markov","id":"D0CF4148-C985-11E9-8066-0BDEE5697425","first_name":"Ilia","full_name":"Markov, Ilia"},{"full_name":"Vladu, Adrian","first_name":"Adrian","last_name":"Vladu"},{"full_name":"Guo, Qi","first_name":"Qi","last_name":"Guo"},{"orcid":"0000-0003-3650-940X","full_name":"Alistarh, Dan-Adrian","last_name":"Alistarh","first_name":"Dan-Adrian","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87"}],"publication":"Proceedings of the 40th International Conference on Machine Learning","acknowledgement":"The authors gratefully acknowledge funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 805223 ScaleML), as well as experimental support from the IST Austria IT department, in particular Stefano Elefante, Andrei Hornoiu, and Alois Schloegl. AV acknowledges the support of the French Agence Nationale de la Recherche (ANR), under grant ANR-21-CE48-0016 (project COMCOPT), the support of Fondation Hadamard with a PRMO grant, and the support of CNRS with a CoopIntEER IEA grant (project ALFRED).","language":[{"iso":"eng"}],"intvolume":" 202","publication_identifier":{"eissn":["2640-3498"]},"scopus_import":"1","external_id":{"arxiv":["2302.02390"]},"abstract":[{"text":"Communication-reduction techniques are a popular way to improve scalability in data-parallel training of deep neural networks (DNNs). The recent emergence of large language models such as GPT has created the need for new approaches to exploit data-parallelism. Among these, fully-sharded data parallel (FSDP) training is highly popular, yet it still encounters scalability bottlenecks. One reason is that applying compression techniques to FSDP is challenging: as the vast majority of the communication involves the model’s weights, direct compression alters convergence and leads to accuracy loss. We present QSDP, a variant of FSDP which supports both gradient and weight quantization with theoretical guarantees, is simple to implement and has essentially no overheads. To derive QSDP we prove that a natural modification of SGD achieves convergence even when we only maintain quantized weights, and thus the domain over which we train consists of quantized points and is, therefore, highly non-convex. We validate this approach by training GPT-family models with up to 1.3 billion parameters on a multi-node cluster. Experiments show that QSDP preserves model accuracy, while completely removing the communication bottlenecks of FSDP, providing end-to-end speedups of up to 2.2x.","lang":"eng"}],"page":"24020-24044","article_processing_charge":"No","project":[{"grant_number":"805223","_id":"268A44D6-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Elastic Coordination for Scalable Machine Learning"}],"title":"Quantized distributed training of large models with convergence guarantees","publisher":"ML Research Press","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","acknowledged_ssus":[{"_id":"ScienComp"}],"oa_version":"Preprint","quality_controlled":"1","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2302.02390","open_access":"1"}],"date_created":"2023-10-29T23:01:17Z","ec_funded":1,"oa":1},{"quality_controlled":"1","oa_version":"Published Version","publisher":"ML Research Press","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Constant matters: Fine-grained error bound on differentially private continual observation","main_file_link":[{"url":"https://proceedings.mlr.press/v202/fichtenberger23a/fichtenberger23a.pdf","open_access":"1"}],"ec_funded":1,"date_created":"2023-10-29T23:01:17Z","oa":1,"scopus_import":"1","project":[{"grant_number":"101019564","_id":"bd9ca328-d553-11ed-ba76-dc4f890cfe62","name":"The design and evaluation of modern fully dynamic data structures","call_identifier":"H2020"},{"_id":"34def286-11ca-11ed-8bc3-da5948e1613c","grant_number":"Z00422","name":"Wittgenstein Award - Monika Henzinger"},{"name":"Fast Algorithms for a Reactive Network Layer","_id":"bd9e3a2e-d553-11ed-ba76-8aa684ce17fe","grant_number":"P33775 "}],"article_processing_charge":"No","page":"10072-10092","abstract":[{"text":"We study fine-grained error bounds for differentially private algorithms for counting under continual observation. Our main insight is that the matrix mechanism when using lower-triangular matrices can be used in the continual observation model. More specifically, we give an explicit factorization for the counting matrix Mcount and upper bound the error explicitly. We also give a fine-grained analysis, specifying the exact constant in the upper bound. Our analysis is based on upper and lower bounds of the completely bounded norm (cb-norm) of Mcount\r\n. Along the way, we improve the best-known bound of 28 years by Mathias (SIAM Journal on Matrix Analysis and Applications, 1993) on the cb-norm of Mcount for a large range of the dimension of Mcount. Furthermore, we are the first to give concrete error bounds for various problems under continual observation such as binary counting, maintaining a histogram, releasing an approximately cut-preserving synthetic graph, many graph-based statistics, and substring and episode counting. Finally, we note that our result can be used to get a fine-grained error bound for non-interactive local learning and the first lower bounds on the additive error for (ϵ,δ)-differentially-private counting under continual observation. Subsequent to this work, Henzinger et al. (SODA, 2023) showed that our factorization also achieves fine-grained mean-squared error.","lang":"eng"}],"conference":{"end_date":"2023-07-29","name":"ICML: International Conference on Machine Learning","location":"Honolulu, Hawaii, HI, United States","start_date":"2023-07-23"},"publication_status":"published","status":"public","volume":202,"type":"conference","citation":{"ista":"Fichtenberger H, Henzinger MH, Upadhyay J. 2023. Constant matters: Fine-grained error bound on differentially private continual observation. Proceedings of the 40th International Conference on Machine Learning. ICML: International Conference on Machine Learning, PMLR, vol. 202, 10072–10092.","ama":"Fichtenberger H, Henzinger MH, Upadhyay J. Constant matters: Fine-grained error bound on differentially private continual observation. In: Proceedings of the 40th International Conference on Machine Learning. Vol 202. ML Research Press; 2023:10072-10092.","mla":"Fichtenberger, Hendrik, et al. “Constant Matters: Fine-Grained Error Bound on Differentially Private Continual Observation.” Proceedings of the 40th International Conference on Machine Learning, vol. 202, ML Research Press, 2023, pp. 10072–92.","chicago":"Fichtenberger, Hendrik, Monika H Henzinger, and Jalaj Upadhyay. “Constant Matters: Fine-Grained Error Bound on Differentially Private Continual Observation.” In Proceedings of the 40th International Conference on Machine Learning, 202:10072–92. ML Research Press, 2023.","ieee":"H. Fichtenberger, M. H. Henzinger, and J. Upadhyay, “Constant matters: Fine-grained error bound on differentially private continual observation,” in Proceedings of the 40th International Conference on Machine Learning, Honolulu, Hawaii, HI, United States, 2023, vol. 202, pp. 10072–10092.","short":"H. Fichtenberger, M.H. Henzinger, J. Upadhyay, in:, Proceedings of the 40th International Conference on Machine Learning, ML Research Press, 2023, pp. 10072–10092.","apa":"Fichtenberger, H., Henzinger, M. H., & Upadhyay, J. (2023). Constant matters: Fine-grained error bound on differentially private continual observation. In Proceedings of the 40th International Conference on Machine Learning (Vol. 202, pp. 10072–10092). Honolulu, Hawaii, HI, United States: ML Research Press."},"author":[{"last_name":"Fichtenberger","first_name":"Hendrik","full_name":"Fichtenberger, Hendrik"},{"full_name":"Henzinger, Monika H","orcid":"0000-0002-5008-6530","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630","last_name":"Henzinger"},{"first_name":"Jalaj","last_name":"Upadhyay","full_name":"Upadhyay, Jalaj"}],"publication_identifier":{"eissn":["2640-3498"]},"language":[{"iso":"eng"}],"intvolume":" 202","acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No.\r\n101019564 “The Design of Modern Fully Dynamic Data Structures (MoDynStruct)” and from the Austrian Science Fund (FWF) project Z 422-N, and project “Fast Algorithms for a Reactive Network Layer (ReactNet)”, P 33775-N, with additional funding from the netidee SCIENCE Stiftung, 2020–2024. 2020–2024. JU’s research was funded by Decanal Research Grant. A part of this work was done when JU was visiting Indian Statistical Institute, Delhi. The authors would like to thank Rajat Bhatia, Aleksandar Nikolov, Shanta Laisharam, Vern Paulsen, Ryan Rogers, Abhradeep Thakurta, and Sarvagya Upadhyay for useful discussions.","publication":"Proceedings of the 40th International Conference on Machine Learning","day":"30","date_updated":"2023-10-31T09:54:05Z","year":"2023","alternative_title":["PMLR"],"month":"07","date_published":"2023-07-30T00:00:00Z","_id":"14462","department":[{"_id":"MoHe"}]},{"day":"30","date_updated":"2023-10-31T08:52:28Z","year":"2023","alternative_title":["PMLR"],"date_published":"2023-07-30T00:00:00Z","month":"07","department":[{"_id":"MaMo"},{"_id":"DaAl"}],"_id":"14459","conference":{"end_date":"2023-07-29","name":"ICML: International Conference on Machine Learning","location":"Honolulu, Hawaii, HI, United States","start_date":"2023-07-23"},"publication_status":"published","volume":202,"type":"conference","status":"public","citation":{"chicago":"Shevchenko, Aleksandr, Kevin Kögler, Hamed Hassani, and Marco Mondelli. “Fundamental Limits of Two-Layer Autoencoders, and Achieving Them with Gradient Methods.” In Proceedings of the 40th International Conference on Machine Learning, 202:31151–209. ML Research Press, 2023.","mla":"Shevchenko, Aleksandr, et al. “Fundamental Limits of Two-Layer Autoencoders, and Achieving Them with Gradient Methods.” Proceedings of the 40th International Conference on Machine Learning, vol. 202, ML Research Press, 2023, pp. 31151–209.","ista":"Shevchenko A, Kögler K, Hassani H, Mondelli M. 2023. Fundamental limits of two-layer autoencoders, and achieving them with gradient methods. Proceedings of the 40th International Conference on Machine Learning. ICML: International Conference on Machine Learning, PMLR, vol. 202, 31151–31209.","ama":"Shevchenko A, Kögler K, Hassani H, Mondelli M. Fundamental limits of two-layer autoencoders, and achieving them with gradient methods. In: Proceedings of the 40th International Conference on Machine Learning. Vol 202. ML Research Press; 2023:31151-31209.","short":"A. Shevchenko, K. Kögler, H. Hassani, M. Mondelli, in:, Proceedings of the 40th International Conference on Machine Learning, ML Research Press, 2023, pp. 31151–31209.","apa":"Shevchenko, A., Kögler, K., Hassani, H., & Mondelli, M. (2023). Fundamental limits of two-layer autoencoders, and achieving them with gradient methods. In Proceedings of the 40th International Conference on Machine Learning (Vol. 202, pp. 31151–31209). Honolulu, Hawaii, HI, United States: ML Research Press.","ieee":"A. Shevchenko, K. Kögler, H. Hassani, and M. Mondelli, “Fundamental limits of two-layer autoencoders, and achieving them with gradient methods,” in Proceedings of the 40th International Conference on Machine Learning, Honolulu, Hawaii, HI, United States, 2023, vol. 202, pp. 31151–31209."},"author":[{"full_name":"Shevchenko, Aleksandr","last_name":"Shevchenko","first_name":"Aleksandr","id":"F2B06EC2-C99E-11E9-89F0-752EE6697425"},{"last_name":"Kögler","id":"94ec913c-dc85-11ea-9058-e5051ab2428b","first_name":"Kevin","full_name":"Kögler, Kevin"},{"last_name":"Hassani","first_name":"Hamed","full_name":"Hassani, Hamed"},{"id":"27EB676C-8706-11E9-9510-7717E6697425","first_name":"Marco","last_name":"Mondelli","full_name":"Mondelli, Marco","orcid":"0000-0002-3242-7020"}],"intvolume":" 202","language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2640-3498"]},"publication":"Proceedings of the 40th International Conference on Machine Learning","acknowledgement":"Aleksandr Shevchenko, Kevin Kogler and Marco Mondelli are supported by the 2019 Lopez-Loreta Prize. Hamed Hassani acknowledges the support by the NSF CIF award (1910056) and the NSF Institute for CORE Emerging Methods in Data Science (EnCORE).","scopus_import":"1","external_id":{"arxiv":["2212.13468"]},"article_processing_charge":"No","project":[{"_id":"059876FA-7A3F-11EA-A408-12923DDC885E","name":"Prix Lopez-Loretta 2019 - Marco Mondelli"}],"page":"31151-31209","abstract":[{"text":"Autoencoders are a popular model in many branches of machine learning and lossy data compression. However, their fundamental limits, the performance of gradient methods and the features learnt during optimization remain poorly understood, even in the two-layer setting. In fact, earlier work has considered either linear autoencoders or specific training regimes (leading to vanishing or diverging compression rates). Our paper addresses this gap by focusing on non-linear two-layer autoencoders trained in the challenging proportional regime in which the input dimension scales linearly with the size of the representation. Our results characterize the minimizers of the population risk, and show that such minimizers are achieved by gradient methods; their structure is also unveiled, thus leading to a concise description of the features obtained via training. For the special case of a sign activation function, our analysis establishes the fundamental limits for the lossy compression of Gaussian sources via (shallow) autoencoders. Finally, while the results are proved for Gaussian data, numerical simulations on standard datasets display the universality of the theoretical predictions.","lang":"eng"}],"quality_controlled":"1","oa_version":"Preprint","title":"Fundamental limits of two-layer autoencoders, and achieving them with gradient methods","publisher":"ML Research Press","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2212.13468"}],"date_created":"2023-10-29T23:01:17Z","oa":1},{"scopus_import":"1","external_id":{"arxiv":["2302.04852"]},"project":[{"grant_number":"805223","_id":"268A44D6-B435-11E9-9278-68D0E5697425","name":"Elastic Coordination for Scalable Machine Learning","call_identifier":"H2020"}],"article_processing_charge":"No","page":"26215-26227","abstract":[{"text":"We provide an efficient implementation of the backpropagation algorithm, specialized to the case where the weights of the neural network being trained are sparse. Our algorithm is general, as it applies to arbitrary (unstructured) sparsity and common layer types (e.g., convolutional or linear). We provide a fast vectorized implementation on commodity CPUs, and show that it can yield speedups in end-to-end runtime experiments, both in transfer learning using already-sparsified networks, and in training sparse networks from scratch. Thus, our results provide the first support for sparse training on commodity hardware.","lang":"eng"}],"quality_controlled":"1","oa_version":"Preprint","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publisher":"ML Research Press","title":"SparseProp: Efficient sparse backpropagation for faster training of neural networks at the edge","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2302.04852"}],"ec_funded":1,"date_created":"2023-10-29T23:01:17Z","oa":1,"day":"30","date_updated":"2023-10-31T09:33:51Z","year":"2023","alternative_title":["PMLR"],"month":"07","date_published":"2023-07-30T00:00:00Z","_id":"14460","department":[{"_id":"DaAl"}],"publication_status":"published","conference":{"end_date":"2023-07-29","name":"ICML: International Conference on Machine Learning","location":"Honolulu, Hawaii, HI, United States","start_date":"2023-07-23"},"status":"public","volume":202,"type":"conference","citation":{"ista":"Nikdan M, Pegolotti T, Iofinova EB, Kurtic E, Alistarh D-A. 2023. SparseProp: Efficient sparse backpropagation for faster training of neural networks at the edge. Proceedings of the 40th International Conference on Machine Learning. ICML: International Conference on Machine Learning, PMLR, vol. 202, 26215–26227.","ama":"Nikdan M, Pegolotti T, Iofinova EB, Kurtic E, Alistarh D-A. SparseProp: Efficient sparse backpropagation for faster training of neural networks at the edge. In: Proceedings of the 40th International Conference on Machine Learning. Vol 202. ML Research Press; 2023:26215-26227.","mla":"Nikdan, Mahdi, et al. “SparseProp: Efficient Sparse Backpropagation for Faster Training of Neural Networks at the Edge.” Proceedings of the 40th International Conference on Machine Learning, vol. 202, ML Research Press, 2023, pp. 26215–27.","chicago":"Nikdan, Mahdi, Tommaso Pegolotti, Eugenia B Iofinova, Eldar Kurtic, and Dan-Adrian Alistarh. “SparseProp: Efficient Sparse Backpropagation for Faster Training of Neural Networks at the Edge.” In Proceedings of the 40th International Conference on Machine Learning, 202:26215–27. ML Research Press, 2023.","ieee":"M. Nikdan, T. Pegolotti, E. B. Iofinova, E. Kurtic, and D.-A. Alistarh, “SparseProp: Efficient sparse backpropagation for faster training of neural networks at the edge,” in Proceedings of the 40th International Conference on Machine Learning, Honolulu, Hawaii, HI, United States, 2023, vol. 202, pp. 26215–26227.","apa":"Nikdan, M., Pegolotti, T., Iofinova, E. B., Kurtic, E., & Alistarh, D.-A. (2023). SparseProp: Efficient sparse backpropagation for faster training of neural networks at the edge. In Proceedings of the 40th International Conference on Machine Learning (Vol. 202, pp. 26215–26227). Honolulu, Hawaii, HI, United States: ML Research Press.","short":"M. Nikdan, T. Pegolotti, E.B. Iofinova, E. Kurtic, D.-A. Alistarh, in:, Proceedings of the 40th International Conference on Machine Learning, ML Research Press, 2023, pp. 26215–26227."},"author":[{"last_name":"Nikdan","id":"66374281-f394-11eb-9cf6-869147deecc0","first_name":"Mahdi","full_name":"Nikdan, Mahdi"},{"full_name":"Pegolotti, Tommaso","last_name":"Pegolotti","first_name":"Tommaso"},{"last_name":"Iofinova","id":"f9a17499-f6e0-11ea-865d-fdf9a3f77117","first_name":"Eugenia B","orcid":"0000-0002-7778-3221","full_name":"Iofinova, Eugenia B"},{"full_name":"Kurtic, Eldar","first_name":"Eldar","id":"47beb3a5-07b5-11eb-9b87-b108ec578218","last_name":"Kurtic"},{"full_name":"Alistarh, Dan-Adrian","orcid":"0000-0003-3650-940X","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","first_name":"Dan-Adrian","last_name":"Alistarh"}],"publication_identifier":{"eissn":["2640-3498"]},"language":[{"iso":"eng"}],"intvolume":" 202","acknowledgement":"We would like to thank Elias Frantar for his valuable assistance and support at the outset of this project, and the anonymous ICML and SNN reviewers for very constructive feedback. EI was supported in part by the FWF DK VGSCO, grant agreement number W1260-N35. DA acknowledges generous ERC support, via Starting Grant 805223 ScaleML. ","publication":"Proceedings of the 40th International Conference on Machine Learning"},{"title":"Stronger lower bounds for leakage-resilient secret sharing","publisher":"Springer Nature","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","oa_version":"Preprint","quality_controlled":"1","main_file_link":[{"url":"https://eprint.iacr.org/2023/1017","open_access":"1"}],"date_created":"2023-10-29T23:01:16Z","oa":1,"scopus_import":"1","page":"215-228","abstract":[{"text":"Threshold secret sharing allows a dealer to split a secret s into n shares, such that any t shares allow for reconstructing s, but no t-1 shares reveal any information about s. Leakage-resilient secret sharing requires that the secret remains hidden, even when an adversary additionally obtains a limited amount of leakage from every share. Benhamouda et al. (CRYPTO’18) proved that Shamir’s secret sharing scheme is one bit leakage-resilient for reconstruction threshold t≥0.85n and conjectured that the same holds for t = c.n for any constant 0≤c≤1. Nielsen and Simkin (EUROCRYPT’20) showed that this is the best one can hope for by proving that Shamir’s scheme is not secure against one-bit leakage when t0c.n/log(n).\r\nIn this work, we strengthen the lower bound of Nielsen and Simkin. We consider noisy leakage-resilience, where a random subset of leakages is replaced by uniformly random noise. We prove a lower bound for Shamir’s secret sharing, similar to that of Nielsen and Simkin, which holds even when a constant fraction of leakages is replaced by random noise. To this end, we first prove a lower bound on the share size of any noisy-leakage-resilient sharing scheme. We then use this lower bound to show that there exist universal constants c1, c2, such that for sufficiently large n it holds that Shamir’s secret sharing scheme is not noisy-leakage-resilient for t≤c1.n/log(n), even when a c2 fraction of leakages are replaced by random noise.\r\n\r\n\r\n\r\n","lang":"eng"}],"article_processing_charge":"No","type":"conference","volume":14168,"status":"public","conference":{"end_date":"2023-10-06","name":"LATINCRYPT: Conference on Cryptology and Information Security in Latin America","location":"Quito, Ecuador","start_date":"2023-10-03"},"publication_status":"published","citation":{"ama":"Hoffmann C, Simkin M. Stronger lower bounds for leakage-resilient secret sharing. In: 8th International Conference on Cryptology and Information Security in Latin America. Vol 14168. Springer Nature; 2023:215-228. doi:10.1007/978-3-031-44469-2_11","ista":"Hoffmann C, Simkin M. 2023. Stronger lower bounds for leakage-resilient secret sharing. 8th International Conference on Cryptology and Information Security in Latin America. LATINCRYPT: Conference on Cryptology and Information Security in Latin America, LNCS, vol. 14168, 215–228.","chicago":"Hoffmann, Charlotte, and Mark Simkin. “Stronger Lower Bounds for Leakage-Resilient Secret Sharing.” In 8th International Conference on Cryptology and Information Security in Latin America, 14168:215–28. Springer Nature, 2023. https://doi.org/10.1007/978-3-031-44469-2_11.","mla":"Hoffmann, Charlotte, and Mark Simkin. “Stronger Lower Bounds for Leakage-Resilient Secret Sharing.” 8th International Conference on Cryptology and Information Security in Latin America, vol. 14168, Springer Nature, 2023, pp. 215–28, doi:10.1007/978-3-031-44469-2_11.","ieee":"C. Hoffmann and M. Simkin, “Stronger lower bounds for leakage-resilient secret sharing,” in 8th International Conference on Cryptology and Information Security in Latin America, Quito, Ecuador, 2023, vol. 14168, pp. 215–228.","apa":"Hoffmann, C., & Simkin, M. (2023). Stronger lower bounds for leakage-resilient secret sharing. In 8th International Conference on Cryptology and Information Security in Latin America (Vol. 14168, pp. 215–228). Quito, Ecuador: Springer Nature. https://doi.org/10.1007/978-3-031-44469-2_11","short":"C. Hoffmann, M. Simkin, in:, 8th International Conference on Cryptology and Information Security in Latin America, Springer Nature, 2023, pp. 215–228."},"author":[{"last_name":"Hoffmann","first_name":"Charlotte","id":"0f78d746-dc7d-11ea-9b2f-83f92091afe7","orcid":"0000-0003-2027-5549","full_name":"Hoffmann, Charlotte"},{"last_name":"Simkin","first_name":"Mark","full_name":"Simkin, Mark"}],"publication":"8th International Conference on Cryptology and Information Security in Latin America","doi":"10.1007/978-3-031-44469-2_11","intvolume":" 14168","language":[{"iso":"eng"}],"publication_identifier":{"issn":["0302-9743"],"eissn":["1611-3349"],"isbn":["9783031444685"]},"day":"01","year":"2023","date_updated":"2023-10-31T11:43:12Z","date_published":"2023-10-01T00:00:00Z","month":"10","alternative_title":["LNCS"],"department":[{"_id":"KrPi"}],"_id":"14457"}]