[{"month":"08","oa":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2108.01733"}],"oa_version":"Preprint","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 948819), and from the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy – EXC-2047/1 – 390685813.","abstract":[{"text":"We derive a weak-strong uniqueness principle for BV solutions to multiphase mean curvature flow of triple line clusters in three dimensions. Our proof is based on the explicit construction of a gradient-flow calibration in the sense of the recent work of Fischer et al. [arXiv:2003.05478] for any such cluster. This extends the two-dimensional construction to the three-dimensional case of surfaces meeting along triple junctions.","lang":"eng"}],"doi":"10.48550/arXiv.2108.01733","date_published":"2021-08-03T00:00:00Z","related_material":{"record":[{"relation":"later_version","status":"public","id":"13043"},{"id":"10007","status":"public","relation":"dissertation_contains"}]},"ec_funded":1,"date_created":"2021-09-13T12:17:11Z","day":"03","language":[{"iso":"eng"}],"publication":"arXiv","year":"2021","publication_status":"submitted","status":"public","project":[{"_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","call_identifier":"H2020","grant_number":"948819","name":"Bridging Scales in Random Materials"}],"type":"preprint","article_number":"2108.01733","_id":"10013","department":[{"_id":"JuFi"}],"title":"Weak-strong uniqueness for the mean curvature flow of double bubbles","author":[{"first_name":"Sebastian","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","full_name":"Hensel, Sebastian","orcid":"0000-0001-7252-8072","last_name":"Hensel"},{"first_name":"Tim","last_name":"Laux","full_name":"Laux, Tim"}],"article_processing_charge":"No","external_id":{"arxiv":["2108.01733"]},"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2023-09-07T13:30:45Z","citation":{"mla":"Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” ArXiv, 2108.01733, doi:10.48550/arXiv.2108.01733.","ieee":"S. Hensel and T. Laux, “Weak-strong uniqueness for the mean curvature flow of double bubbles,” arXiv. .","short":"S. Hensel, T. Laux, ArXiv (n.d.).","ama":"Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv. doi:10.48550/arXiv.2108.01733","apa":"Hensel, S., & Laux, T. (n.d.). Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv. https://doi.org/10.48550/arXiv.2108.01733","chicago":"Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2108.01733.","ista":"Hensel S, Laux T. Weak-strong uniqueness for the mean curvature flow of double bubbles. arXiv, 2108.01733."}},{"date_published":"2021-11-24T00:00:00Z","doi":"10.1103/PRXQuantum.2.040341","date_created":"2021-08-17T08:14:18Z","page":"040341","day":"24","publication":"PRX Quantum","isi":1,"has_accepted_license":"1","year":"2021","publisher":"American Physical Society","quality_controlled":"1","oa":1,"acknowledgement":"We thank W. Hughes for analytic and numerical modeling during the early stages of this work, J. Koch for discussions and support with the scqubits package, R. Sett, P. Zielinski, and L. Drmic for software development, and G. Katsaros for equipment support, as well as the MIBA workshop and the Institute of Science and Technology Austria nanofabrication facility. We thank I. Pop, S. Deleglise, and E. Flurin for discussions. This work was supported by a NOMIS Foundation research grant, the Austrian Science Fund (FWF) through BeyondC (F7105), and IST Austria. M.P. is the recipient of a Pöttinger scholarship at IST Austria. E.R. is the recipient of a DOC fellowship of the Austrian Academy of Sciences at IST Austria.","title":"Geometric superinductance qubits: Controlling phase delocalization across a single Josephson junction","author":[{"orcid":"0000-0002-3415-4628","full_name":"Peruzzo, Matilda","last_name":"Peruzzo","first_name":"Matilda","id":"3F920B30-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0001-6937-5773","full_name":"Hassani, Farid","last_name":"Hassani","first_name":"Farid","id":"2AED110C-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Gregory","full_name":"Szep, Gregory","last_name":"Szep"},{"id":"42F71B44-F248-11E8-B48F-1D18A9856A87","first_name":"Andrea","last_name":"Trioni","full_name":"Trioni, Andrea"},{"last_name":"Redchenko","full_name":"Redchenko, Elena","id":"2C21D6E8-F248-11E8-B48F-1D18A9856A87","first_name":"Elena"},{"last_name":"Zemlicka","full_name":"Zemlicka, Martin","first_name":"Martin","id":"2DCF8DE6-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Johannes M","id":"4B591CBA-F248-11E8-B48F-1D18A9856A87","last_name":"Fink","orcid":"0000-0001-8112-028X","full_name":"Fink, Johannes M"}],"external_id":{"isi":["000723015100001"],"arxiv":["2106.05882"]},"article_processing_charge":"No","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","citation":{"apa":"Peruzzo, M., Hassani, F., Szep, G., Trioni, A., Redchenko, E., Zemlicka, M., & Fink, J. M. (2021). Geometric superinductance qubits: Controlling phase delocalization across a single Josephson junction. PRX Quantum. American Physical Society. https://doi.org/10.1103/PRXQuantum.2.040341","ama":"Peruzzo M, Hassani F, Szep G, et al. Geometric superinductance qubits: Controlling phase delocalization across a single Josephson junction. PRX Quantum. 2021;2(4):040341. doi:10.1103/PRXQuantum.2.040341","ieee":"M. Peruzzo et al., “Geometric superinductance qubits: Controlling phase delocalization across a single Josephson junction,” PRX Quantum, vol. 2, no. 4. American Physical Society, p. 040341, 2021.","short":"M. Peruzzo, F. Hassani, G. Szep, A. Trioni, E. Redchenko, M. Zemlicka, J.M. Fink, PRX Quantum 2 (2021) 040341.","mla":"Peruzzo, Matilda, et al. “Geometric Superinductance Qubits: Controlling Phase Delocalization across a Single Josephson Junction.” PRX Quantum, vol. 2, no. 4, American Physical Society, 2021, p. 040341, doi:10.1103/PRXQuantum.2.040341.","ista":"Peruzzo M, Hassani F, Szep G, Trioni A, Redchenko E, Zemlicka M, Fink JM. 2021. Geometric superinductance qubits: Controlling phase delocalization across a single Josephson junction. PRX Quantum. 2(4), 040341.","chicago":"Peruzzo, Matilda, Farid Hassani, Gregory Szep, Andrea Trioni, Elena Redchenko, Martin Zemlicka, and Johannes M Fink. “Geometric Superinductance Qubits: Controlling Phase Delocalization across a Single Josephson Junction.” PRX Quantum. American Physical Society, 2021. https://doi.org/10.1103/PRXQuantum.2.040341."},"project":[{"grant_number":"F07105","name":"Integrating superconducting quantum circuits","_id":"26927A52-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"grant_number":"665385","name":"International IST Doctoral Program","call_identifier":"H2020","_id":"2564DBCA-B435-11E9-9278-68D0E5697425"},{"_id":"2622978C-B435-11E9-9278-68D0E5697425","name":"Hybrid Semiconductor - Superconductor Quantum Devices"}],"volume":2,"related_material":{"record":[{"status":"public","id":"13057","relation":"research_data"},{"status":"public","id":"9920","relation":"dissertation_contains"}]},"issue":"4","ec_funded":1,"file":[{"date_created":"2022-01-18T11:29:33Z","file_name":"2021_PRXQuantum_Peruzzo.pdf","date_updated":"2022-01-18T11:29:33Z","file_size":4247422,"creator":"cchlebak","checksum":"36eb41ea43d8ca22b0efab12419e4eb2","file_id":"10641","success":1,"content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"language":[{"iso":"eng"}],"publication_identifier":{"eissn":["2691-3399"]},"publication_status":"published","month":"11","intvolume":" 2","scopus_import":"1","oa_version":"Published Version","abstract":[{"lang":"eng","text":"There are two elementary superconducting qubit types that derive directly from the quantum harmonic oscillator. In one, the inductor is replaced by a nonlinear Josephson junction to realize the widely used charge qubits with a compact phase variable and a discrete charge wave function. In the other, the junction is added in parallel, which gives rise to an extended phase variable, continuous wave functions, and a rich energy-level structure due to the loop topology. While the corresponding rf superconducting quantum interference device Hamiltonian was introduced as a quadratic quasi-one-dimensional potential approximation to describe the fluxonium qubit implemented with long Josephson-junction arrays, in this work we implement it directly using a linear superinductor formed by a single uninterrupted aluminum wire. We present a large variety of qubits, all stemming from the same circuit but with drastically different characteristic energy scales. This includes flux and fluxonium qubits but also the recently introduced quasicharge qubit with strongly enhanced zero-point phase fluctuations and a heavily suppressed flux dispersion. The use of a geometric inductor results in high reproducibility of the inductive energy as guaranteed by top-down lithography—a key ingredient for intrinsically protected superconducting qubits."}],"acknowledged_ssus":[{"_id":"NanoFab"},{"_id":"M-Shop"}],"file_date_updated":"2022-01-18T11:29:33Z","department":[{"_id":"JoFi"},{"_id":"NanoFab"},{"_id":"M-Shop"}],"ddc":["530"],"date_updated":"2023-09-07T13:31:22Z","status":"public","keyword":["quantum physics","mesoscale and nanoscale physics"],"article_type":"original","type":"journal_article","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)"},"_id":"9928"},{"day":"22","year":"2021","has_accepted_license":"1","date_created":"2021-09-21T09:14:15Z","doi":"10.15479/at:ista:10030","date_published":"2021-09-22T00:00:00Z","acknowledgement":"The author gratefully acknowledges support by the Austrian Science Fund (FWF), grants No W1245.","oa":1,"publisher":"Institute of Science and Technology Austria","user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","citation":{"ista":"Portinale L. 2021. Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. Institute of Science and Technology Austria.","chicago":"Portinale, Lorenzo. “Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:10030.","apa":"Portinale, L. (2021). Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:10030","ama":"Portinale L. Discrete-to-continuum limits of transport problems and gradient flows in the space of measures. 2021. doi:10.15479/at:ista:10030","short":"L. Portinale, Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures, Institute of Science and Technology Austria, 2021.","ieee":"L. Portinale, “Discrete-to-continuum limits of transport problems and gradient flows in the space of measures,” Institute of Science and Technology Austria, 2021.","mla":"Portinale, Lorenzo. Discrete-to-Continuum Limits of Transport Problems and Gradient Flows in the Space of Measures. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:10030."},"title":"Discrete-to-continuum limits of transport problems and gradient flows in the space of measures","article_processing_charge":"No","author":[{"last_name":"Portinale","full_name":"Portinale, Lorenzo","id":"30AD2CBC-F248-11E8-B48F-1D18A9856A87","first_name":"Lorenzo"}],"project":[{"name":"Dissipation and Dispersion in Nonlinear Partial Differential Equations","_id":"260788DE-B435-11E9-9278-68D0E5697425","call_identifier":"FWF"},{"_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems","grant_number":"F6504"}],"language":[{"iso":"eng"}],"file":[{"access_level":"closed","relation":"source_file","content_type":"application/x-zip-compressed","file_id":"10032","checksum":"8cd60dcb8762e8f21867e21e8001e183","creator":"cchlebak","date_updated":"2022-03-10T12:14:42Z","file_size":3876668,"date_created":"2021-09-21T09:17:34Z","file_name":"tex_and_pictures.zip"},{"date_created":"2021-09-27T11:14:31Z","file_name":"thesis_portinale_Final (1).pdf","date_updated":"2021-09-27T11:14:31Z","file_size":2532673,"creator":"cchlebak","file_id":"10047","checksum":"9789e9d967c853c1503ec7f307170279","content_type":"application/pdf","access_level":"open_access","relation":"main_file"}],"degree_awarded":"PhD","publication_status":"published","publication_identifier":{"issn":["2663-337X"]},"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"10022"},{"status":"public","id":"9792","relation":"part_of_dissertation"},{"id":"7573","status":"public","relation":"part_of_dissertation"}]},"oa_version":"Published Version","abstract":[{"text":"This PhD thesis is primarily focused on the study of discrete transport problems, introduced for the first time in the seminal works of Maas [Maa11] and Mielke [Mie11] on finite state Markov chains and reaction-diffusion equations, respectively. More in detail, my research focuses on the study of transport costs on graphs, in particular the convergence and the stability of such problems in the discrete-to-continuum limit. This thesis also includes some results concerning\r\nnon-commutative optimal transport. The first chapter of this thesis consists of a general introduction to the optimal transport problems, both in the discrete, the continuous, and the non-commutative setting. Chapters 2 and 3 present the content of two works, obtained in collaboration with Peter Gladbach, Eva Kopfer, and Jan Maas, where we have been able to show the convergence of discrete transport costs on periodic graphs to suitable continuous ones, which can be described by means of a homogenisation result. We first focus on the particular case of quadratic costs on the real line and then extending the result to more general costs in arbitrary dimension. Our results are the first complete characterisation of limits of transport costs on periodic graphs in arbitrary dimension which do not rely on any additional symmetry. In Chapter 4 we turn our attention to one of the intriguing connection between evolution equations and optimal transport, represented by the theory of gradient flows. We show that discrete gradient flow structures associated to a finite volume approximation of a certain class of diffusive equations (Fokker–Planck) is stable in the limit of vanishing meshes, reproving the convergence of the scheme via the method of evolutionary Γ-convergence and exploiting a more variational point of view on the problem. This is based on a collaboration with Dominik Forkert and Jan Maas. Chapter 5 represents a change of perspective, moving away from the discrete world and reaching the non-commutative one. As in the discrete case, we discuss how classical tools coming from the commutative optimal transport can be translated into the setting of density matrices. In particular, in this final chapter we present a non-commutative version of the Schrödinger problem (or entropic regularised optimal transport problem) and discuss existence and characterisation of minimisers, a duality result, and present a non-commutative version of the well-known Sinkhorn algorithm to compute the above mentioned optimisers. This is based on a joint work with Dario Feliciangeli and Augusto Gerolin. Finally, Appendix A and B contain some additional material and discussions, with particular attention to Harnack inequalities and the regularity of flows on discrete spaces.","lang":"eng"}],"acknowledged_ssus":[{"_id":"M-Shop"},{"_id":"NanoFab"}],"month":"09","alternative_title":["ISTA Thesis"],"ddc":["515"],"date_updated":"2023-09-07T13:31:06Z","supervisor":[{"first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","last_name":"Maas","orcid":"0000-0002-0845-1338","full_name":"Maas, Jan"}],"file_date_updated":"2022-03-10T12:14:42Z","department":[{"_id":"GradSch"},{"_id":"JaMa"}],"_id":"10030","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)"},"type":"dissertation"},{"citation":{"ista":"Peruzzo M. 2021. Geometric superinductors and their applications in circuit quantum electrodynamics. Institute of Science and Technology Austria.","chicago":"Peruzzo, Matilda. “Geometric Superinductors and Their Applications in Circuit Quantum Electrodynamics.” Institute of Science and Technology Austria, 2021. https://doi.org/10.15479/at:ista:9920.","ieee":"M. Peruzzo, “Geometric superinductors and their applications in circuit quantum electrodynamics,” Institute of Science and Technology Austria, 2021.","short":"M. Peruzzo, Geometric Superinductors and Their Applications in Circuit Quantum Electrodynamics, Institute of Science and Technology Austria, 2021.","ama":"Peruzzo M. Geometric superinductors and their applications in circuit quantum electrodynamics. 2021. doi:10.15479/at:ista:9920","apa":"Peruzzo, M. (2021). Geometric superinductors and their applications in circuit quantum electrodynamics. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:9920","mla":"Peruzzo, Matilda. Geometric Superinductors and Their Applications in Circuit Quantum Electrodynamics. Institute of Science and Technology Austria, 2021, doi:10.15479/at:ista:9920."},"user_id":"c635000d-4b10-11ee-a964-aac5a93f6ac1","author":[{"orcid":"0000-0002-3415-4628","full_name":"Peruzzo, Matilda","last_name":"Peruzzo","id":"3F920B30-F248-11E8-B48F-1D18A9856A87","first_name":"Matilda"}],"article_processing_charge":"No","title":"Geometric superinductors and their applications in circuit quantum electrodynamics","publisher":"Institute of Science and Technology Austria","oa":1,"has_accepted_license":"1","year":"2021","day":"19","page":"149","date_published":"2021-08-19T00:00:00Z","doi":"10.15479/at:ista:9920","date_created":"2021-08-16T09:44:09Z","_id":"9920","type":"dissertation","status":"public","keyword":["quantum computing","superinductor","quantum metrology"],"supervisor":[{"first_name":"Johannes M","id":"4B591CBA-F248-11E8-B48F-1D18A9856A87","last_name":"Fink","orcid":"0000-0001-8112-028X","full_name":"Fink, Johannes M"}],"date_updated":"2023-09-07T13:31:22Z","ddc":["539"],"file_date_updated":"2021-09-06T08:39:47Z","department":[{"_id":"GradSch"},{"_id":"JoFi"}],"abstract":[{"text":"This work is concerned with two fascinating circuit quantum electrodynamics components, the Josephson junction and the geometric superinductor, and the interesting experiments that can be done by combining the two. The Josephson junction has revolutionized the field of superconducting circuits as a non-linear dissipation-less circuit element and is used in almost all superconducting qubit implementations since the 90s. On the other hand, the superinductor is a relatively new circuit element introduced as a key component of the fluxonium qubit in 2009. This is an inductor with characteristic impedance larger than the resistance quantum and self-resonance frequency in the GHz regime. The combination of these two elements can occur in two fundamental ways: in parallel and in series. When connected in parallel the two create the fluxonium qubit, a loop with large inductance and a rich energy spectrum reliant on quantum tunneling. On the other hand placing the two elements in series aids with the measurement of the IV curve of a single Josephson junction in a high impedance environment. In this limit theory predicts that the junction will behave as its dual element: the phase-slip junction. While the Josephson junction acts as a non-linear inductor the phase-slip junction has the behavior of a non-linear capacitance and can be used to measure new Josephson junction phenomena, namely Coulomb blockade of Cooper pairs and phase-locked Bloch oscillations. The latter experiment allows for a direct link between frequency and current which is an elusive connection in quantum metrology. This work introduces the geometric superinductor, a superconducting circuit element where the high inductance is due to the geometry rather than the material properties of the superconductor, realized from a highly miniaturized superconducting planar coil. These structures will be described and characterized as resonators and qubit inductors and progress towards the measurement of phase-locked Bloch oscillations will be presented.","lang":"eng"}],"acknowledged_ssus":[{"_id":"NanoFab"},{"_id":"M-Shop"}],"oa_version":"Published Version","alternative_title":["ISTA Thesis"],"month":"08","publication_identifier":{"issn":["2663-337X"],"isbn":["978-3-99078-013-8"]},"publication_status":"published","degree_awarded":"PhD","file":[{"content_type":"application/x-zip-compressed","relation":"source_file","access_level":"closed","file_id":"9924","checksum":"3cd1986efde5121d7581f6fcf9090da8","file_size":151387283,"date_updated":"2021-09-06T08:39:47Z","creator":"mperuzzo","file_name":"GeometricSuperinductorsForCQED.zip","date_created":"2021-08-16T09:33:21Z"},{"content_type":"application/pdf","relation":"main_file","access_level":"open_access","checksum":"50928c621cdf0775d7a5906b9dc8602c","file_id":"9939","file_size":17596344,"date_updated":"2021-09-06T08:39:47Z","creator":"mperuzzo","file_name":"GeometricSuperinductorsAndTheirApplicationsIncQED-1b.pdf","date_created":"2021-08-18T14:20:06Z"},{"file_id":"9940","checksum":"37f486aa1b622fe44af00d627ec13f6c","relation":"other","access_level":"closed","content_type":"application/pdf","description":"Extra copy of the thesis as PDF/A-2b","file_name":"GeometricSuperinductorsAndTheirApplicationsIncQED-2b.pdf","date_created":"2021-08-18T14:20:09Z","creator":"mperuzzo","file_size":17592425,"date_updated":"2021-09-06T08:39:47Z"}],"language":[{"iso":"eng"}],"related_material":{"record":[{"relation":"part_of_dissertation","status":"public","id":"9928"},{"relation":"part_of_dissertation","status":"public","id":"8755"}]}},{"publication":"Proceedings of the AAAI Conference on Artificial Intelligence","day":"18","year":"2021","date_created":"2021-12-09T09:21:35Z","date_published":"2021-05-18T00:00:00Z","page":"9037-9045","acknowledgement":"We would like to thank Christopher De Sa for his feedback on an earlier draft of this paper, as well as the anonymous AAAI reviewers for their useful comments. This project has received\r\nfunding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 805223 ScaleML). Bapi\r\nChatterjee was supported by the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska-Curie grant agreement No. 754411 (ISTPlus).","oa":1,"quality_controlled":"1","user_id":"8b945eb4-e2f2-11eb-945a-df72226e66a9","citation":{"short":"G. Nadiradze, I. Markov, B. Chatterjee, V. Kungurtsev, D.-A. Alistarh, in:, Proceedings of the AAAI Conference on Artificial Intelligence, 2021, pp. 9037–9045.","ieee":"G. Nadiradze, I. Markov, B. Chatterjee, V. Kungurtsev, and D.-A. Alistarh, “Elastic consistency: A practical consistency model for distributed stochastic gradient descent,” in Proceedings of the AAAI Conference on Artificial Intelligence, Virtual, 2021, vol. 35, no. 10, pp. 9037–9045.","apa":"Nadiradze, G., Markov, I., Chatterjee, B., Kungurtsev, V., & Alistarh, D.-A. (2021). Elastic consistency: A practical consistency model for distributed stochastic gradient descent. In Proceedings of the AAAI Conference on Artificial Intelligence (Vol. 35, pp. 9037–9045). Virtual.","ama":"Nadiradze G, Markov I, Chatterjee B, Kungurtsev V, Alistarh D-A. Elastic consistency: A practical consistency model for distributed stochastic gradient descent. In: Proceedings of the AAAI Conference on Artificial Intelligence. Vol 35. ; 2021:9037-9045.","mla":"Nadiradze, Giorgi, et al. “Elastic Consistency: A Practical Consistency Model for Distributed Stochastic Gradient Descent.” Proceedings of the AAAI Conference on Artificial Intelligence, vol. 35, no. 10, 2021, pp. 9037–45.","ista":"Nadiradze G, Markov I, Chatterjee B, Kungurtsev V, Alistarh D-A. 2021. Elastic consistency: A practical consistency model for distributed stochastic gradient descent. Proceedings of the AAAI Conference on Artificial Intelligence. AAAI: Association for the Advancement of Artificial Intelligence vol. 35, 9037–9045.","chicago":"Nadiradze, Giorgi, Ilia Markov, Bapi Chatterjee, Vyacheslav Kungurtsev, and Dan-Adrian Alistarh. “Elastic Consistency: A Practical Consistency Model for Distributed Stochastic Gradient Descent.” In Proceedings of the AAAI Conference on Artificial Intelligence, 35:9037–45, 2021."},"title":"Elastic consistency: A practical consistency model for distributed stochastic gradient descent","article_processing_charge":"No","external_id":{"arxiv":["2001.05918"]},"author":[{"first_name":"Giorgi","id":"3279A00C-F248-11E8-B48F-1D18A9856A87","last_name":"Nadiradze","full_name":"Nadiradze, Giorgi","orcid":"0000-0001-5634-0731"},{"last_name":"Markov","full_name":"Markov, Ilia","first_name":"Ilia","id":"D0CF4148-C985-11E9-8066-0BDEE5697425"},{"first_name":"Bapi","id":"3C41A08A-F248-11E8-B48F-1D18A9856A87","last_name":"Chatterjee","full_name":"Chatterjee, Bapi","orcid":"0000-0002-2742-4028"},{"first_name":"Vyacheslav ","full_name":"Kungurtsev, Vyacheslav ","last_name":"Kungurtsev"},{"orcid":"0000-0003-3650-940X","full_name":"Alistarh, Dan-Adrian","last_name":"Alistarh","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","first_name":"Dan-Adrian"}],"project":[{"grant_number":"754411","name":"ISTplus - Postdoctoral Fellowships","call_identifier":"H2020","_id":"260C2330-B435-11E9-9278-68D0E5697425"},{"call_identifier":"H2020","_id":"268A44D6-B435-11E9-9278-68D0E5697425","grant_number":"805223","name":"Elastic Coordination for Scalable Machine Learning"}],"language":[{"iso":"eng"}],"publication_status":"published","ec_funded":1,"issue":"10","related_material":{"record":[{"relation":"dissertation_contains","id":"10429","status":"public"}]},"volume":35,"oa_version":"Published Version","abstract":[{"text":"One key element behind the recent progress of machine learning has been the ability to train machine learning models in large-scale distributed shared-memory and message-passing environments. Most of these models are trained employing variants of stochastic gradient descent (SGD) based optimization, but most methods involve some type of consistency relaxation relative to sequential SGD, to mitigate its large communication or synchronization costs at scale. In this paper, we introduce a general consistency condition covering communication-reduced and asynchronous distributed SGD implementations. Our framework, called elastic consistency, decouples the system-specific aspects of the implementation from the SGD convergence requirements, giving a general way to obtain convergence bounds for a wide variety of distributed SGD methods used in practice. Elastic consistency can be used to re-derive or improve several previous convergence bounds in message-passing and shared-memory settings, but also to analyze new models and distribution schemes. As a direct application, we propose and analyze a new synchronization-avoiding scheduling scheme for distributed SGD, and show that it can be used to efficiently train deep convolutional models for image classification.","lang":"eng"}],"intvolume":" 35","month":"05","main_file_link":[{"url":"https://ojs.aaai.org/index.php/AAAI/article/view/17092","open_access":"1"}],"date_updated":"2023-09-07T13:31:39Z","department":[{"_id":"DaAl"}],"_id":"10432","status":"public","conference":{"name":"AAAI: Association for the Advancement of Artificial Intelligence","start_date":"2021-02-02","location":"Virtual","end_date":"2021-02-09"},"type":"conference"}]