--- _id: '13315' abstract: - lang: eng 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. 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. article_number: e2302028120 article_processing_charge: Yes (in subscription journal) article_type: original author: - first_name: Jean full_name: Barbier, Jean last_name: Barbier - first_name: Francesco full_name: Camilli, Francesco last_name: Camilli - first_name: Marco full_name: Mondelli, Marco id: 27EB676C-8706-11E9-9510-7717E6697425 last_name: Mondelli orcid: 0000-0002-3242-7020 - first_name: Manuel full_name: Sáenz, Manuel last_name: Sáenz citation: 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 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 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. 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. 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. 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. short: J. Barbier, F. Camilli, M. Mondelli, M. Sáenz, Proceedings of the National Academy of Sciences of the United States of America 120 (2023). date_created: 2023-07-30T22:01:02Z date_published: 2023-07-25T00:00:00Z date_updated: 2023-10-17T11:44:55Z day: '25' ddc: - '000' department: - _id: MaMo doi: 10.1073/pnas.2302028120 external_id: pmid: - '37463204' file: - access_level: open_access checksum: 1fc06228afdb3aa80cf8e7766bcf9dc5 content_type: application/pdf creator: dernst date_created: 2023-07-31T07:30:48Z date_updated: 2023-07-31T07:30:48Z file_id: '13323' file_name: 2023_PNAS_Barbier.pdf file_size: 995933 relation: main_file success: 1 file_date_updated: 2023-07-31T07:30:48Z has_accepted_license: '1' intvolume: ' 120' issue: '30' language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '07' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 059876FA-7A3F-11EA-A408-12923DDC885E name: Prix Lopez-Loretta 2019 - Marco Mondelli publication: Proceedings of the National Academy of Sciences of the United States of America publication_identifier: eissn: - 1091-6490 publication_status: published publisher: National Academy of Sciences quality_controlled: '1' related_material: link: - relation: software url: https://github.com/fcamilli95/Structured-PCA- scopus_import: '1' status: public title: Fundamental limits in structured principal component analysis and how to reach them tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 120 year: '2023' ... --- _id: '14037' abstract: - lang: eng 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.' 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. article_number: e2300828120 article_processing_charge: Yes (in subscription journal) article_type: original author: - first_name: Ofek full_name: Vardi, Ofek last_name: Vardi - first_name: Naama full_name: Maroudas-Sklare, Naama last_name: Maroudas-Sklare - first_name: Yuval full_name: Kolodny, Yuval last_name: Kolodny - first_name: Artem full_name: Volosniev, Artem id: 37D278BC-F248-11E8-B48F-1D18A9856A87 last_name: Volosniev orcid: 0000-0003-0393-5525 - first_name: Amijai full_name: Saragovi, Amijai last_name: Saragovi - first_name: Nir full_name: Galili, Nir last_name: Galili - first_name: Stav full_name: Ferrera, Stav last_name: Ferrera - first_name: Areg full_name: Ghazaryan, Areg id: 4AF46FD6-F248-11E8-B48F-1D18A9856A87 last_name: Ghazaryan orcid: 0000-0001-9666-3543 - first_name: Nir full_name: Yuran, Nir last_name: Yuran - first_name: Hagit P. full_name: Affek, Hagit P. last_name: Affek - first_name: Boaz full_name: Luz, Boaz last_name: Luz - first_name: Yonaton full_name: Goldsmith, Yonaton last_name: Goldsmith - first_name: Nir full_name: Keren, Nir last_name: Keren - first_name: Shira full_name: Yochelis, Shira last_name: Yochelis - first_name: Itay full_name: Halevy, Itay last_name: Halevy - first_name: Mikhail full_name: Lemeshko, Mikhail id: 37CB05FA-F248-11E8-B48F-1D18A9856A87 last_name: Lemeshko orcid: 0000-0002-6990-7802 - first_name: Yossi full_name: Paltiel, Yossi last_name: Paltiel 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 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 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. 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. 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. 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. 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). date_created: 2023-08-13T22:01:12Z date_published: 2023-07-31T00:00:00Z date_updated: 2023-10-17T11:45:25Z day: '31' ddc: - '530' department: - _id: MiLe doi: 10.1073/pnas.2300828120 ec_funded: 1 external_id: pmid: - '37523549' file: - access_level: open_access checksum: a5ed64788a5acef9b9a300a26fa5a177 content_type: application/pdf creator: dernst date_created: 2023-08-14T07:43:45Z date_updated: 2023-08-14T07:43:45Z file_id: '14047' file_name: 2023_PNAS_Vardi.pdf file_size: 1003092 relation: main_file success: 1 file_date_updated: 2023-08-14T07:43:45Z has_accepted_license: '1' intvolume: ' 120' issue: '32' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/4.0/ month: '07' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 2688CF98-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '801770' name: 'Angulon: physics and applications of a new quasiparticle' publication: Proceedings of the National Academy of Sciences of the United States of America publication_identifier: eissn: - 1091-6490 publication_status: published publisher: National Academy of Sciences quality_controlled: '1' scopus_import: '1' status: public title: Nuclear spin effects in biological processes tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 120 year: '2023' ... --- _id: '12683' abstract: - lang: eng 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. 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. article_processing_charge: No article_type: original author: - first_name: Guillaume full_name: Dubach, Guillaume id: D5C6A458-10C4-11EA-ABF4-A4B43DDC885E last_name: Dubach orcid: 0000-0001-6892-8137 - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 citation: 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 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 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. 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. ista: Dubach G, Erdös L. 2023. Dynamics of a rank-one perturbation of a Hermitian matrix. Electronic Communications in Probability. 28, 1–13. 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. short: G. Dubach, L. Erdös, Electronic Communications in Probability 28 (2023) 1–13. date_created: 2023-02-26T23:01:01Z date_published: 2023-02-08T00:00:00Z date_updated: 2023-10-17T12:48:10Z day: '08' ddc: - '510' department: - _id: LaEr doi: 10.1214/23-ECP516 ec_funded: 1 external_id: arxiv: - '2108.13694' isi: - '000950650200005' file: - access_level: open_access checksum: a1c6f0a3e33688fd71309c86a9aad86e content_type: application/pdf creator: dernst date_created: 2023-02-27T09:43:27Z date_updated: 2023-02-27T09:43:27Z file_id: '12692' file_name: 2023_ElectCommProbability_Dubach.pdf file_size: 479105 relation: main_file success: 1 file_date_updated: 2023-02-27T09:43:27Z has_accepted_license: '1' intvolume: ' 28' isi: 1 language: - iso: eng month: '02' oa: 1 oa_version: Published Version page: 1-13 project: - _id: 260C2330-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '754411' name: ISTplus - Postdoctoral Fellowships - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Electronic Communications in Probability publication_identifier: eissn: - 1083-589X publication_status: published publisher: Institute of Mathematical Statistics quality_controlled: '1' scopus_import: '1' status: public title: Dynamics of a rank-one perturbation of a Hermitian matrix tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 28 year: '2023' ... --- _id: '12761' 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)." 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. article_processing_charge: No article_type: original author: - first_name: Giorgio full_name: Cipolloni, Giorgio id: 42198EFA-F248-11E8-B48F-1D18A9856A87 last_name: Cipolloni orcid: 0000-0002-4901-7992 - first_name: László full_name: Erdös, László id: 4DBD5372-F248-11E8-B48F-1D18A9856A87 last_name: Erdös orcid: 0000-0001-5366-9603 - first_name: Dominik J full_name: Schröder, Dominik J id: 408ED176-F248-11E8-B48F-1D18A9856A87 last_name: Schröder orcid: 0000-0002-2904-1856 citation: 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 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 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. 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. ista: Cipolloni G, Erdös L, Schröder DJ. 2023. Functional central limit theorems for Wigner matrices. Annals of Applied Probability. 33(1), 447–489. 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. short: G. Cipolloni, L. Erdös, D.J. Schröder, Annals of Applied Probability 33 (2023) 447–489. date_created: 2023-03-26T22:01:08Z date_published: 2023-02-01T00:00:00Z date_updated: 2023-10-17T12:48:52Z day: '01' department: - _id: LaEr doi: 10.1214/22-AAP1820 ec_funded: 1 external_id: arxiv: - '2012.13218' isi: - '000946432400015' intvolume: ' 33' isi: 1 issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2012.13218 month: '02' oa: 1 oa_version: Preprint page: 447-489 project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Annals of Applied Probability publication_identifier: issn: - 1050-5164 publication_status: published publisher: Institute of Mathematical Statistics quality_controlled: '1' scopus_import: '1' status: public title: Functional central limit theorems for Wigner matrices type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 33 year: '2023' ... --- _id: '8682' 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. article_processing_charge: No article_type: original author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Pierre Le full_name: Boudec, Pierre Le last_name: Boudec - first_name: Will full_name: Sawin, Will last_name: Sawin citation: 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 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 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. 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. 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. short: T.D. Browning, P.L. Boudec, W. Sawin, Annals of Mathematics 197 (2023) 1115–1203. date_created: 2020-10-19T14:28:50Z date_published: 2023-05-01T00:00:00Z date_updated: 2023-10-17T12:47:43Z day: '01' department: - _id: TiBr doi: 10.4007/annals.2023.197.3.3 external_id: arxiv: - '2006.02356' isi: - '000966611000003' intvolume: ' 197' isi: 1 issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2006.02356 month: '05' oa: 1 oa_version: Preprint page: 1115-1203 publication: Annals of Mathematics publication_identifier: issn: - 0003-486X publication_status: published publisher: Princeton University quality_controlled: '1' related_material: link: - description: News on IST Homepage relation: press_release url: https://ist.ac.at/en/news/when-is-necessary-sufficient/ status: public title: The Hasse principle for random Fano hypersurfaces type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 197 year: '2023' ...