[{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2301.06897","open_access":"1"}],"oa":1,"publication":"SIAM Journal on Mathematical Analysis","das_tickbox":"0","acknowledgement":"The first author’s research was supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme grant 948819. . The second author’s research was supported by the VICI subsidy VI.C.212.027 of the Netherlands Organisation for Scientific Research (NWO).","ec_funded":1,"volume":56,"date_created":"2024-08-04T22:01:21Z","issue":"4","publication_identifier":{"eissn":["1095-7154"],"issn":["0036-1410"]},"isi":1,"type":"journal_article","publisher":"Society for Industrial and Applied Mathematics","page":"4870-4927","date_updated":"2026-10-15T09:43:41Z","supplementarymaterial":"yes","article_type":"original","department":[{"_id":"JuFi"}],"publication_status":"published","language":[{"iso":"eng"}],"day":"01","project":[{"grant_number":"948819","call_identifier":"H2020","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","name":"Bridging Scales in Random Materials"}],"month":"08","citation":{"apa":"Agresti, A., & Veraar, M. (2024). Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems. SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/23M1562482","short":"A. Agresti, M. Veraar, SIAM Journal on Mathematical Analysis 56 (2024) 4870–4927.","ieee":"A. Agresti and M. Veraar, “Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems,” SIAM Journal on Mathematical Analysis, vol. 56, no. 4. Society for Industrial and Applied Mathematics, pp. 4870–4927, 2024.","chicago":"Agresti, Antonio, and Mark Veraar. “Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems.” SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2024. https://doi.org/10.1137/23M1562482.","ama":"Agresti A, Veraar M. Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems. SIAM Journal on Mathematical Analysis. 2024;56(4):4870-4927. doi:10.1137/23M1562482","mla":"Agresti, Antonio, and Mark Veraar. “Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Global Well-Posedness of Weakly Dissipative Systems.” SIAM Journal on Mathematical Analysis, vol. 56, no. 4, Society for Industrial and Applied Mathematics, 2024, pp. 4870–927, doi:10.1137/23M1562482.","ista":"Agresti A, Veraar M. 2024. Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems. SIAM Journal on Mathematical Analysis. 56(4), 4870–4927."},"title":"Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-08-01T00:00:00Z","abstract":[{"text":"In this paper, we investigate the global well-posedness of reaction-diffusion systems with transport noise on the d-dimensional torus. We show new global well-posedness results for a large class of scalar equations (e.g. the Allen-Cahn equation), and dissipative systems (e.g. equations in coagulation dynamics). Moreover, we prove global well-posedness for two weakly dissipative systems: Lotka-Volterra equations for d∈{1,2,3,4} and the Brusselator for d∈{1,2,3}. Many of the results are also new without transport noise. The proofs are based on maximal regularity techniques, positivity results, and sharp blow-up criteria developed in our recent works, combined with energy estimates based on Itô's formula and stochastic Gronwall inequalities. Key novelties include the introduction of new Lζ -coercivity/dissipativity conditions and the development of an Lp(Lq) -framework for systems of reaction-diffusion equations, which are needed when treating dimensions d∈{2,3} in the case of cubic or higher order nonlinearities.","lang":"eng"}],"researchdata_availability":"no","year":"2024","fulldoi":"https://doi.org/10.1137/23M1562482","corr_author":"1","oa_version":"Preprint","doi":"10.1137/23M1562482","intvolume":" 56","author":[{"orcid":"0000-0002-9573-2962","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","last_name":"Agresti","first_name":"Antonio","full_name":"Agresti, Antonio"},{"first_name":"Mark","full_name":"Veraar, Mark","last_name":"Veraar"}],"_id":"17372","status":"public","quality_controlled":"1","scopus_import":"1","article_processing_charge":"No","arxiv":1,"external_id":{"isi":["001315424500021"],"arxiv":["2301.06897"]}},{"article_type":"original","supplementarymaterial":"no","date_updated":"2026-10-15T09:46:00Z","publisher":"Springer Nature","type":"journal_article","publication_identifier":{"issn":["0938-8974"],"eissn":["1432-1467"]},"isi":1,"issue":"2","date_created":"2024-01-28T23:01:42Z","volume":34,"acknowledgement":"All authors acknowledge support of the Austrian Science Fund (FWF) through the SFB project F65. The research of E. Davoli and L. D’Elia has additionally been supported by the FWF through grants V662, Y1292, and P35359, as well as from OeAD through the WTZ grant CZ09/2023.","publication":"Journal of Nonlinear Science","das_tickbox":"1","oa":1,"dataavailabilitystatement":"Data sharing is not applicable to this article as no datasets were generated or analyzed during the current study.","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2306.05151","open_access":"1"}],"article_number":"30","external_id":{"arxiv":["2306.05151"],"isi":["001147480200001"]},"arxiv":1,"article_processing_charge":"No","scopus_import":"1","status":"public","_id":"14884","quality_controlled":"1","author":[{"last_name":"Davoli","first_name":"Elisa","full_name":"Davoli, Elisa"},{"last_name":"D’Elia","full_name":"D’Elia, Lorenza","first_name":"Lorenza"},{"id":"71523d30-15b2-11ec-abd3-f80aa909d6b0","orcid":"0009-0008-1310-7946","last_name":"Ingmanns","first_name":"Jonas","full_name":"Ingmanns, Jonas"}],"doi":"10.1007/s00332-023-10005-3","intvolume":" 34","oa_version":"Preprint","fulldoi":"https://doi.org/10.1007/s00332-023-10005-3","year":"2024","abstract":[{"lang":"eng","text":"We perform a stochastic homogenization analysis for composite materials exhibiting a random microstructure. Under the assumptions of stationarity and ergodicity, we characterize the Gamma-limit of a micromagnetic energy functional defined on magnetizations taking value in the unit sphere and including both symmetric and antisymmetric exchange contributions. This Gamma-limit corresponds to a micromagnetic energy functional with homogeneous coefficients. We provide explicit formulas for the effective magnetic properties of the composite material in terms of homogenization correctors. Additionally, the variational analysis of the two exchange energy terms is performed in the more general setting of functionals defined on manifold-valued maps with Sobolev regularity, in the case in which the target manifold is a bounded, orientable smooth surface with tubular neighborhood of uniform thickness. Eventually, we present an explicit characterization of minimizers of the effective exchange in the case of magnetic multilayers, providing quantitative evidence of Dzyaloshinskii’s predictions on the emergence of helical structures in composite ferromagnetic materials with stochastic microstructure."}],"date_published":"2024-01-23T00:00:00Z","researchdata_availability":"not applicable","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","citation":{"ista":"Davoli E, D’Elia L, Ingmanns J. 2024. Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. 34(2), 30.","mla":"Davoli, Elisa, et al. “Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions.” Journal of Nonlinear Science, vol. 34, no. 2, 30, Springer Nature, 2024, doi:10.1007/s00332-023-10005-3.","chicago":"Davoli, Elisa, Lorenza D’Elia, and Jonas Ingmanns. “Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions.” Journal of Nonlinear Science. Springer Nature, 2024. https://doi.org/10.1007/s00332-023-10005-3.","ama":"Davoli E, D’Elia L, Ingmanns J. Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. 2024;34(2). doi:10.1007/s00332-023-10005-3","apa":"Davoli, E., D’Elia, L., & Ingmanns, J. (2024). Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. Springer Nature. https://doi.org/10.1007/s00332-023-10005-3","short":"E. Davoli, L. D’Elia, J. Ingmanns, Journal of Nonlinear Science 34 (2024).","ieee":"E. Davoli, L. D’Elia, and J. Ingmanns, “Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions,” Journal of Nonlinear Science, vol. 34, no. 2. Springer Nature, 2024."},"month":"01","title":"Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions","project":[{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"day":"23","language":[{"iso":"eng"}],"publication_status":"published","department":[{"_id":"JuFi"}]},{"citation":{"ieee":"D. Yao, C. J. Muller, and F. Locatello, “Marrying causal representation learning with dynamical systems for science,” in 38th Conference on Neural Information Processing Systems, Vancouver, Canada, 2024, vol. 37.","short":"D. Yao, C.J. Muller, F. Locatello, in:, 38th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2024.","apa":"Yao, D., Muller, C. J., & Locatello, F. (2024). Marrying causal representation learning with dynamical systems for science. In 38th Conference on Neural Information Processing Systems (Vol. 37). Vancouver, Canada: Neural Information Processing Systems Foundation. https://doi.org/10.52202/079017-2290","ama":"Yao D, Muller CJ, Locatello F. Marrying causal representation learning with dynamical systems for science. In: 38th Conference on Neural Information Processing Systems. Vol 37. Neural Information Processing Systems Foundation; 2024. doi:10.52202/079017-2290","chicago":"Yao, Dingling, Caroline J Muller, and Francesco Locatello. “Marrying Causal Representation Learning with Dynamical Systems for Science.” In 38th Conference on Neural Information Processing Systems, Vol. 37. Neural Information Processing Systems Foundation, 2024. https://doi.org/10.52202/079017-2290.","mla":"Yao, Dingling, et al. “Marrying Causal Representation Learning with Dynamical Systems for Science.” 38th Conference on Neural Information Processing Systems, vol. 37, Neural Information Processing Systems Foundation, 2024, doi:10.52202/079017-2290.","ista":"Yao D, Muller CJ, Locatello F. 2024. Marrying causal representation learning with dynamical systems for science. 38th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 37."},"month":"12","title":"Marrying causal representation learning with dynamical systems for science","date_published":"2024-12-01T00:00:00Z","abstract":[{"text":"Causal representation learning promises to extend causal models to hidden causal\r\nvariables from raw entangled measurements. However, most progress has focused\r\non proving identifiability results in different settings, and we are not aware of any\r\nsuccessful real-world application. At the same time, the field of dynamical systems\r\nbenefited from deep learning and scaled to countless applications but does not allow\r\nparameter identification. In this paper, we draw a clear connection between the two\r\nand their key assumptions, allowing us to apply identifiable methods developed\r\nin causal representation learning to dynamical systems. At the same time, we can\r\nleverage scalable differentiable solvers developed for differential equations to build\r\nmodels that are both identifiable and practical. Overall, we learn explicitly controllable models that isolate the trajectory-specific parameters for further downstream\r\ntasks such as out-of-distribution classification or treatment effect estimation. We\r\nexperiment with a wind simulator with partially known factors of variation. We\r\nalso apply the resulting model to real-world climate data and successfully answer\r\ndownstream causal questions in line with existing literature on climate change.\r\nCode is available at https://github.com/CausalLearningAI/crl-dynamical-systems.","lang":"eng"}],"researchdata_availability":"no","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","year":"2024","file_date_updated":"2025-02-05T07:44:58Z","department":[{"_id":"CaMu"},{"_id":"FrLo"}],"publication_status":"published","OA_type":"free access","language":[{"iso":"eng"}],"day":"01","scopus_import":"1","arxiv":1,"article_processing_charge":"No","OA_place":"publisher","external_id":{"arxiv":["2405.13888"]},"conference":{"end_date":"2024-12-16","location":"Vancouver, Canada","name":"NeurIPS: Neural Information Processing Systems","start_date":"2024-12-16"},"fulldoi":"https://doi.org/10.52202/079017-2290","ddc":["000","550"],"oa_version":"Published Version","corr_author":"1","_id":"19005","author":[{"full_name":"Yao, Dingling","first_name":"Dingling","last_name":"Yao","id":"d3e02e50-48a8-11ee-8f62-c108061797fa"},{"first_name":"Caroline J","full_name":"Muller, Caroline J","orcid":"0000-0001-5836-5350","id":"f978ccb0-3f7f-11eb-b193-b0e2bd13182b","last_name":"Muller"},{"last_name":"Locatello","orcid":"0000-0002-4850-0683","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","full_name":"Locatello, Francesco","first_name":"Francesco"}],"status":"public","quality_controlled":"1","intvolume":" 37","doi":"10.52202/079017-2290","acknowledgement":"We thank Niklas Boers for recommending the SpeedyWeather simulator and Valentino Maiorca\r\nfor guidance on Fourier transformation for SST data. We are also grateful to Shimeng Huang and Riccardo Cadei for their feedback on the treatment effect estimation experiment and to Jiale Chen and Adeel Pervez for their assistance with the solver implementation. Finally, we appreciate the anonymous reviewers for their insightful suggestions, which helped improve the manuscript. ","has_accepted_license":"1","das_tickbox":"0","publication":"38th Conference on Neural Information Processing Systems","volume":37,"alternative_title":["Advances in Neural Information Processing Systems"],"date_created":"2025-02-05T07:49:00Z","oa":1,"date_updated":"2026-10-15T09:47:17Z","supplementarymaterial":"no","file":[{"creator":"dernst","relation":"main_file","checksum":"fe8832367e7143876f178244385d859e","file_size":2595855,"content_type":"application/pdf","access_level":"open_access","success":1,"date_created":"2025-02-05T07:44:58Z","date_updated":"2025-02-05T07:44:58Z","file_name":"2024_NeurIPS_Yao.pdf","file_id":"19006"}],"publication_identifier":{"eissn":["1049-5258"]},"publisher":"Neural Information Processing Systems Foundation","type":"conference","related_material":{"link":[{"url":"https://github.com/CausalLearningAI/crl-dynamical-systems","relation":"software"}]}},{"oa":1,"date_created":"2023-06-11T22:00:40Z","volume":24,"publication":"Foundations of Computational Mathematics","das_tickbox":"0","acknowledgement":"Open access funding provided by Institute of Science and Technology (IST Austria).","has_accepted_license":"1","page":"1305-1387","type":"journal_article","publisher":"Springer Nature","publication_identifier":{"eissn":["1615-3383"],"issn":["1615-3375"]},"isi":1,"file":[{"file_size":1454406,"content_type":"application/pdf","success":1,"access_level":"open_access","relation":"main_file","creator":"dernst","checksum":"ec0582e2b55e2703a7da2686ae0d682e","date_updated":"2025-01-09T07:36:57Z","file_name":"2024_FoundCompMath_Clozeau.pdf","file_id":"18782","date_created":"2025-01-09T07:36:57Z"}],"article_type":"original","supplementarymaterial":"yes","date_updated":"2026-10-15T09:47:37Z","language":[{"iso":"eng"}],"day":"01","OA_type":"hybrid","publication_status":"published","file_date_updated":"2025-01-09T07:36:57Z","department":[{"_id":"JuFi"}],"year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"lang":"eng","text":"We study the representative volume element (RVE) method, which is a method to approximately infer the effective behavior ahom of a stationary random medium. The latter is described by a coefficient field a(x) generated from a given ensemble ⟨⋅⟩ and the corresponding linear elliptic operator −∇⋅a∇. In line with the theory of homogenization, the method proceeds by computing d=3 correctors (d denoting the space dimension). To be numerically tractable, this computation has to be done on a finite domain: the so-called representative volume element, i.e., a large box with, say, periodic boundary conditions. The main message of this article is: Periodize the ensemble instead of its realizations. By this, we mean that it is better to sample from a suitably periodized ensemble than to periodically extend the restriction of a realization a(x) from the whole-space ensemble ⟨⋅⟩. We make this point by investigating the bias (or systematic error), i.e., the difference between ahom and the expected value of the RVE method, in terms of its scaling w.r.t. the lateral size L of the box. In case of periodizing a(x), we heuristically argue that this error is generically O(L−1). In case of a suitable periodization of ⟨⋅⟩\r\n, we rigorously show that it is O(L−d). In fact, we give a characterization of the leading-order error term for both strategies and argue that even in the isotropic case it is generically non-degenerate. We carry out the rigorous analysis in the convenient setting of ensembles ⟨⋅⟩\r\n of Gaussian type, which allow for a straightforward periodization, passing via the (integrable) covariance function. This setting has also the advantage of making the Price theorem and the Malliavin calculus available for optimal stochastic estimates of correctors. We actually need control of second-order correctors to capture the leading-order error term. This is due to inversion symmetry when applying the two-scale expansion to the Green function. As a bonus, we present a stream-lined strategy to estimate the error in a higher-order two-scale expansion of the Green function."}],"date_published":"2024-08-01T00:00:00Z","researchdata_availability":"no","title":"Bias in the representative volume element method: Periodize the ensemble instead of its realizations","month":"08","citation":{"apa":"Clozeau, N., Josien, M., Otto, F., & Xu, Q. (2024). Bias in the representative volume element method: Periodize the ensemble instead of its realizations. Foundations of Computational Mathematics. Springer Nature. https://doi.org/10.1007/s10208-023-09613-y","ieee":"N. Clozeau, M. Josien, F. Otto, and Q. Xu, “Bias in the representative volume element method: Periodize the ensemble instead of its realizations,” Foundations of Computational Mathematics, vol. 24. Springer Nature, pp. 1305–1387, 2024.","short":"N. Clozeau, M. Josien, F. Otto, Q. Xu, Foundations of Computational Mathematics 24 (2024) 1305–1387.","ama":"Clozeau N, Josien M, Otto F, Xu Q. Bias in the representative volume element method: Periodize the ensemble instead of its realizations. Foundations of Computational Mathematics. 2024;24:1305-1387. doi:10.1007/s10208-023-09613-y","chicago":"Clozeau, Nicolas, Marc Josien, Felix Otto, and Qiang Xu. “Bias in the Representative Volume Element Method: Periodize the Ensemble Instead of Its Realizations.” Foundations of Computational Mathematics. Springer Nature, 2024. https://doi.org/10.1007/s10208-023-09613-y.","mla":"Clozeau, Nicolas, et al. “Bias in the Representative Volume Element Method: Periodize the Ensemble Instead of Its Realizations.” Foundations of Computational Mathematics, vol. 24, Springer Nature, 2024, pp. 1305–87, doi:10.1007/s10208-023-09613-y.","ista":"Clozeau N, Josien M, Otto F, Xu Q. 2024. Bias in the representative volume element method: Periodize the ensemble instead of its realizations. Foundations of Computational Mathematics. 24, 1305–1387."},"doi":"10.1007/s10208-023-09613-y","intvolume":" 24","_id":"13129","status":"public","author":[{"first_name":"Nicolas","full_name":"Clozeau, Nicolas","id":"fea1b376-906f-11eb-847d-b2c0cf46455b","last_name":"Clozeau"},{"last_name":"Josien","full_name":"Josien, Marc","first_name":"Marc"},{"first_name":"Felix","full_name":"Otto, Felix","last_name":"Otto"},{"full_name":"Xu, Qiang","first_name":"Qiang","last_name":"Xu"}],"quality_controlled":"1","corr_author":"1","oa_version":"Published Version","ddc":["510"],"fulldoi":"https://doi.org/10.1007/s10208-023-09613-y","external_id":{"isi":["000999623100001"]},"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_processing_charge":"Yes (via OA deal)","OA_place":"publisher","scopus_import":"1"},{"date_updated":"2026-10-15T09:48:09Z","supplementarymaterial":"no","article_type":"original","file":[{"file_name":"2024_StochPartDiffEquations_Agresti.pdf","file_id":"18787","date_updated":"2025-01-09T08:01:02Z","date_created":"2025-01-09T08:01:02Z","access_level":"open_access","success":1,"file_size":1320682,"content_type":"application/pdf","checksum":"3c93d07a5f7e0b0caa8062eadcfa69c2","creator":"dernst","relation":"main_file"}],"isi":1,"publication_identifier":{"issn":["2194-0401"],"eissn":["2194-041X"]},"pmid":1,"type":"journal_article","publisher":"Springer Nature","page":"1907-1981","das_tickbox":"1","publication":"Stochastics and Partial Differential Equations: Analysis and Computations","acknowledgement":"The author has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 948819).\r\nThe author thanks Lorenzo Dello Schiavo, Lucio Galeati and Mark Veraar for helpful comments. The author acknowledges Caterina Balzotti for her support in creating the picture. The author\r\nthanks the anonymous referee for helpful comments. ","has_accepted_license":"1","ec_funded":1,"volume":12,"date_created":"2023-02-02T10:45:47Z","dataavailabilitystatement":"This manuscript has no associated data.","oa":1,"scopus_import":"1","OA_place":"publisher","article_processing_charge":"No","arxiv":1,"external_id":{"pmid":["39104877"],"arxiv":["2207.08293"],"isi":["001108594600001"]},"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"fulldoi":"https://doi.org/10.1007/s40072-023-00319-4","ddc":["510"],"corr_author":"1","oa_version":"Published Version","intvolume":" 12","doi":"10.1007/s40072-023-00319-4","author":[{"orcid":"0000-0002-9573-2962","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","last_name":"Agresti","first_name":"Antonio","full_name":"Agresti, Antonio"}],"_id":"12486","status":"public","quality_controlled":"1","title":"Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations","citation":{"mla":"Agresti, Antonio. “Delayed Blow-up and Enhanced Diffusion by Transport Noise for Systems of Reaction-Diffusion Equations.” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 12, Springer Nature, 2024, pp. 1907–81, doi:10.1007/s40072-023-00319-4.","ista":"Agresti A. 2024. Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations. Stochastics and Partial Differential Equations: Analysis and Computations. 12, 1907–1981.","ieee":"A. Agresti, “Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations,” Stochastics and Partial Differential Equations: Analysis and Computations, vol. 12. Springer Nature, pp. 1907–1981, 2024.","short":"A. Agresti, Stochastics and Partial Differential Equations: Analysis and Computations 12 (2024) 1907–1981.","apa":"Agresti, A. (2024). Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations. Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature. https://doi.org/10.1007/s40072-023-00319-4","ama":"Agresti A. Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations. Stochastics and Partial Differential Equations: Analysis and Computations. 2024;12:1907-1981. doi:10.1007/s40072-023-00319-4","chicago":"Agresti, Antonio. “Delayed Blow-up and Enhanced Diffusion by Transport Noise for Systems of Reaction-Diffusion Equations.” Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2024. https://doi.org/10.1007/s40072-023-00319-4."},"month":"09","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"text":"This paper is concerned with the problem of regularization by noise of systems of reaction–diffusion equations with mass control. It is known that strong solutions to such systems of PDEs may blow-up in finite time. Moreover, for many systems of practical interest, establishing whether the blow-up occurs or not is an open question. Here we prove that a suitable multiplicative noise of transport type has a regularizing effect. More precisely, for both a sufficiently noise intensity and a high spectrum, the blow-up of strong solutions is delayed up to an arbitrary large time. Global existence is shown for the case of exponentially decreasing mass. The proofs combine and extend recent developments in regularization by noise and in the Lp(Lq)-approach to stochastic PDEs, highlighting new connections between the two areas.","lang":"eng"}],"date_published":"2024-09-01T00:00:00Z","researchdata_availability":"not applicable","year":"2024","department":[{"_id":"JuFi"}],"file_date_updated":"2025-01-09T08:01:02Z","publication_status":"published","OA_type":"hybrid","language":[{"iso":"eng"}],"day":"01","project":[{"name":"Bridging Scales in Random Materials","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","call_identifier":"H2020","grant_number":"948819"}]},{"year":"2024","date_published":"2024-10-01T00:00:00Z","researchdata_availability":"no","abstract":[{"text":"We study a random matching problem on closed compact 2 -dimensional Riemannian manifolds (with respect to the squared Riemannian distance), with samples of random points whose common law is absolutely continuous with respect to the volume measure with strictly positive and bounded density. We show that given two sequences of numbers n and m=m(n) of points, asymptotically equivalent as n goes to infinity, the optimal transport plan between the two empirical measures μn and νm is quantitatively well-approximated by (Id,exp(∇hn))#μn where hn solves a linear elliptic PDE obtained by a regularized first-order linearization of the Monge-Ampère equation. This is obtained in the case of samples of correlated random points for which a stretched exponential decay of the α -mixing coefficient holds and for a class of discrete-time Markov chains having a unique absolutely continuous invariant measure with respect to the volume measure.","lang":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","month":"10","citation":{"ista":"Clozeau N, Mattesini F. 2024. Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields. 190, 485–541.","mla":"Clozeau, Nicolas, and Francesco Mattesini. “Annealed Quantitative Estimates for the Quadratic 2D-Discrete Random Matching Problem.” Probability Theory and Related Fields, vol. 190, Springer Nature, 2024, pp. 485–541, doi:10.1007/s00440-023-01254-0.","ama":"Clozeau N, Mattesini F. Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields. 2024;190:485-541. doi:10.1007/s00440-023-01254-0","chicago":"Clozeau, Nicolas, and Francesco Mattesini. “Annealed Quantitative Estimates for the Quadratic 2D-Discrete Random Matching Problem.” Probability Theory and Related Fields. Springer Nature, 2024. https://doi.org/10.1007/s00440-023-01254-0.","short":"N. Clozeau, F. Mattesini, Probability Theory and Related Fields 190 (2024) 485–541.","ieee":"N. Clozeau and F. Mattesini, “Annealed quantitative estimates for the quadratic 2D-discrete random matching problem,” Probability Theory and Related Fields, vol. 190. Springer Nature, pp. 485–541, 2024.","apa":"Clozeau, N., & Mattesini, F. (2024). Annealed quantitative estimates for the quadratic 2D-discrete random matching problem. Probability Theory and Related Fields. Springer Nature. https://doi.org/10.1007/s00440-023-01254-0"},"title":"Annealed quantitative estimates for the quadratic 2D-discrete random matching problem","project":[{"grant_number":"948819","call_identifier":"H2020","name":"Bridging Scales in Random Materials","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d"}],"language":[{"iso":"eng"}],"day":"01","OA_type":"hybrid","publication_status":"published","department":[{"_id":"JuFi"}],"file_date_updated":"2025-01-09T08:10:54Z","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"external_id":{"arxiv":["2303.00353"],"isi":["001136206200002"]},"arxiv":1,"OA_place":"publisher","article_processing_charge":"Yes (in subscription journal)","scopus_import":"1","status":"public","_id":"14797","author":[{"full_name":"Clozeau, Nicolas","first_name":"Nicolas","last_name":"Clozeau","id":"fea1b376-906f-11eb-847d-b2c0cf46455b"},{"first_name":"Francesco","full_name":"Mattesini, Francesco","last_name":"Mattesini"}],"quality_controlled":"1","intvolume":" 190","doi":"10.1007/s00440-023-01254-0","oa_version":"Published Version","corr_author":"1","ddc":["510"],"fulldoi":"https://doi.org/10.1007/s00440-023-01254-0","date_created":"2024-01-14T23:00:57Z","volume":190,"ec_funded":1,"acknowledgement":"NC has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant agreement No 948819).\r\nFM is supported by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) through the SPP 2265 Random Geometric Systems. FM has been funded by the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany’s Excellence Strategy EXC 2044 -390685587, Mathematics Münster: Dynamics–Geometry–Structure. FM has been funded by the Max Planck Institute for Mathematics in the Sciences.","has_accepted_license":"1","publication":"Probability Theory and Related Fields","das_tickbox":"0","oa":1,"file":[{"success":1,"access_level":"open_access","content_type":"application/pdf","file_size":880117,"checksum":"34f44cad6a210ff66791ee37e590af2c","relation":"main_file","creator":"dernst","file_id":"18788","file_name":"2024_ProbTheoryRelatFields_Clozeau.pdf","date_updated":"2025-01-09T08:10:54Z","date_created":"2025-01-09T08:10:54Z"}],"article_type":"original","supplementarymaterial":"no","date_updated":"2026-10-15T09:48:31Z","page":"485-541","publisher":"Springer Nature","type":"journal_article","isi":1,"publication_identifier":{"eissn":["1432-2064"],"issn":["0178-8051"]}},{"date_updated":"2026-10-15T09:47:15Z","supplementarymaterial":"no","article_type":"original","file":[{"checksum":"b1095fad4cae596f52cc616a973bdde2","creator":"dernst","relation":"main_file","access_level":"open_access","success":1,"content_type":"application/pdf","file_size":975186,"date_created":"2024-04-23T07:30:48Z","file_id":"15343","file_name":"2024_CalculusEquations_Abels.pdf","date_updated":"2024-04-23T07:30:48Z"}],"publication_identifier":{"issn":["0944-2669"],"eissn":["1432-0835"]},"isi":1,"publisher":"Springer Nature","type":"journal_article","has_accepted_license":"1","acknowledgement":"Open Access funding enabled and organized by Projekt DEAL.\r\nM. Fei was partially supported by NSF of China under Grant No. 12271004 and Anhui Provincial Funding Project under Grant Nos. gxbjZD2022009 and 2308085J10. Moreover, M. Moser has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No 948819).","publication":"Calculus of Variations and Partial Differential Equations","das_tickbox":"0","volume":63,"ec_funded":1,"issue":"4","date_created":"2024-04-21T22:00:52Z","oa":1,"scopus_import":"1","arxiv":1,"article_processing_charge":"Yes (via OA deal)","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"article_number":"94","external_id":{"isi":["001199418100002"],"arxiv":["2304.12096"]},"fulldoi":"https://doi.org/10.1007/s00526-024-02715-7","ddc":["510"],"oa_version":"Published Version","_id":"15334","author":[{"full_name":"Abels, Helmut","first_name":"Helmut","last_name":"Abels"},{"full_name":"Fei, Mingwen","first_name":"Mingwen","last_name":"Fei"},{"full_name":"Moser, Maximilian","first_name":"Maximilian","last_name":"Moser","id":"a60047a9-da77-11eb-85b4-c4dc385ebb8c"}],"status":"public","quality_controlled":"1","intvolume":" 63","doi":"10.1007/s00526-024-02715-7","title":"Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility","citation":{"ieee":"H. Abels, M. Fei, and M. Moser, “Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility,” Calculus of Variations and Partial Differential Equations, vol. 63, no. 4. Springer Nature, 2024.","short":"H. Abels, M. Fei, M. Moser, Calculus of Variations and Partial Differential Equations 63 (2024).","apa":"Abels, H., Fei, M., & Moser, M. (2024). Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility. Calculus of Variations and Partial Differential Equations. Springer Nature. https://doi.org/10.1007/s00526-024-02715-7","ama":"Abels H, Fei M, Moser M. Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility. Calculus of Variations and Partial Differential Equations. 2024;63(4). doi:10.1007/s00526-024-02715-7","chicago":"Abels, Helmut, Mingwen Fei, and Maximilian Moser. “Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System in the Case of a Vanishing Mobility.” Calculus of Variations and Partial Differential Equations. Springer Nature, 2024. https://doi.org/10.1007/s00526-024-02715-7.","ista":"Abels H, Fei M, Moser M. 2024. Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility. Calculus of Variations and Partial Differential Equations. 63(4), 94.","mla":"Abels, Helmut, et al. “Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System in the Case of a Vanishing Mobility.” Calculus of Variations and Partial Differential Equations, vol. 63, no. 4, 94, Springer Nature, 2024, doi:10.1007/s00526-024-02715-7."},"month":"05","date_published":"2024-05-01T00:00:00Z","abstract":[{"lang":"eng","text":"We consider the sharp interface limit of a Navier-Stokes/Allen Cahn equation in a bounded smooth domain in two space dimensions, in the case of vanishing mobility mε=ε√, where the small parameter ε>0 related to the thickness of the diffuse interface is sent to zero. For well-prepared initial data and sufficiently small times, we rigorously prove convergence to the classical two-phase Navier-Stokes system with surface tension. The idea of the proof is to use asymptotic expansions to construct an approximate solution and to estimate the difference of the exact and approximate solutions with a spectral estimate for the (at the approximate solution) linearized Allen-Cahn operator. In the calculations we use a fractional order ansatz and new ansatz terms in higher orders leading to a suitable ε-scaled and coupled model problem. Moreover, we apply the novel idea of introducing ε-dependent coordinates."}],"researchdata_availability":"no","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","year":"2024","department":[{"_id":"JuFi"}],"file_date_updated":"2024-04-23T07:30:48Z","publication_status":"published","project":[{"name":"Bridging Scales in Random Materials","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","call_identifier":"H2020","grant_number":"948819"}],"day":"01","language":[{"iso":"eng"}]},{"alternative_title":["Advances in Neural Information Processing Systems"],"volume":37,"publication":"38th Conference on Neural Information Processing Systems","das_tickbox":"0","acknowledgement":"A. Kori is supported by UKRI (grant number EP/S023356/1), as part of the UKRI Centre for Doctoral Training in Safe and Trusted AI. B. Glocker and F.D.S. Ribeiro acknowledge the support of the UKRI AI programme, and the Engineering and Physical Sciences Research Council, for CHAI - EPSRC Causality in Healthcare AI Hub (grant number EP/Y028856/1).","has_accepted_license":"1","date_created":"2025-02-05T08:36:22Z","oa":1,"supplementarymaterial":"no","date_updated":"2026-10-15T09:48:32Z","file":[{"file_id":"19008","file_name":"2024_NeurIPS_Kori.pdf","date_updated":"2025-02-05T08:34:25Z","date_created":"2025-02-05T08:34:25Z","access_level":"open_access","success":1,"content_type":"application/pdf","file_size":6943800,"checksum":"d27b3c7102adc28e798fe41001f0b919","creator":"dernst","relation":"main_file"}],"type":"conference","publisher":"Neural Information Processing Systems Foundation","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","researchdata_availability":"no","abstract":[{"text":"Learning modular object-centric representations is crucial for systematic generalization. Existing methods show promising object-binding capabilities empirically,\r\nbut theoretical identifiability guarantees remain relatively underdeveloped. Understanding when object-centric representations can theoretically be identified is\r\ncrucial for scaling slot-based methods to high-dimensional images with correctness\r\nguarantees. To that end, we propose a probabilistic slot-attention algorithm that\r\nimposes an aggregate mixture prior over object-centric slot representations, thereby\r\nproviding slot identifiability guarantees without supervision, up to an equivalence\r\nrelation. We provide empirical verification of our theoretical identifiability result\r\nusing both simple 2-dimensional data and high-resolution imaging datasets.\r\n","lang":"eng"}],"date_published":"2024-12-01T00:00:00Z","month":"12","citation":{"chicago":"Kori, Avinash, Francesco Locatello, Ainkaran Santhirasekaram, Francesca Toni, Ben Glocker, and Fabio De Sousa Ribeiro. “Identifiable Object-Centric Representation Learning via Probabilistic Slot Attention.” In 38th Conference on Neural Information Processing Systems, Vol. 37. Neural Information Processing Systems Foundation, 2024. https://doi.org/10.52202/079017-2960.","ama":"Kori A, Locatello F, Santhirasekaram A, Toni F, Glocker B, De Sousa Ribeiro F. Identifiable object-centric representation learning via probabilistic slot attention. In: 38th Conference on Neural Information Processing Systems. Vol 37. Neural Information Processing Systems Foundation; 2024. doi:10.52202/079017-2960","short":"A. Kori, F. Locatello, A. Santhirasekaram, F. Toni, B. Glocker, F. De Sousa Ribeiro, in:, 38th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2024.","apa":"Kori, A., Locatello, F., Santhirasekaram, A., Toni, F., Glocker, B., & De Sousa Ribeiro, F. (2024). Identifiable object-centric representation learning via probabilistic slot attention. In 38th Conference on Neural Information Processing Systems (Vol. 37). Vancouver, Canada: Neural Information Processing Systems Foundation. https://doi.org/10.52202/079017-2960","ieee":"A. Kori, F. Locatello, A. Santhirasekaram, F. Toni, B. Glocker, and F. De Sousa Ribeiro, “Identifiable object-centric representation learning via probabilistic slot attention,” in 38th Conference on Neural Information Processing Systems, Vancouver, Canada, 2024, vol. 37.","ista":"Kori A, Locatello F, Santhirasekaram A, Toni F, Glocker B, De Sousa Ribeiro F. 2024. Identifiable object-centric representation learning via probabilistic slot attention. 38th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 37.","mla":"Kori, Avinash, et al. “Identifiable Object-Centric Representation Learning via Probabilistic Slot Attention.” 38th Conference on Neural Information Processing Systems, vol. 37, Neural Information Processing Systems Foundation, 2024, doi:10.52202/079017-2960."},"title":"Identifiable object-centric representation learning via probabilistic slot attention","year":"2024","publication_status":"published","department":[{"_id":"FrLo"}],"file_date_updated":"2025-02-05T08:34:25Z","language":[{"iso":"eng"}],"day":"01","OA_type":"hybrid","article_processing_charge":"No","OA_place":"publisher","arxiv":1,"scopus_import":"1","conference":{"end_date":"2024-12-16","location":"Vancouver, Canada","start_date":"2024-12-16","name":"NeurIPS: Neural Information Processing Systems"},"external_id":{"arxiv":["2406.07141"]},"ddc":["000"],"fulldoi":"https://doi.org/10.52202/079017-2960","intvolume":" 37","doi":"10.52202/079017-2960","quality_controlled":"1","_id":"19007","status":"public","author":[{"first_name":"Avinash","full_name":"Kori, Avinash","last_name":"Kori"},{"last_name":"Locatello","orcid":"0000-0002-4850-0683","id":"26cfd52f-2483-11ee-8040-88983bcc06d4","full_name":"Locatello, Francesco","first_name":"Francesco"},{"first_name":"Ainkaran","full_name":"Santhirasekaram, Ainkaran","last_name":"Santhirasekaram"},{"last_name":"Toni","first_name":"Francesca","full_name":"Toni, Francesca"},{"first_name":"Ben","full_name":"Glocker, Ben","last_name":"Glocker"},{"first_name":"Fabio","full_name":"De Sousa Ribeiro, Fabio","last_name":"De Sousa Ribeiro"}],"oa_version":"Published Version"},{"scopus_import":"1","article_processing_charge":"Yes (via OA deal)","OA_place":"publisher","arxiv":1,"external_id":{"pmid":["39351582"],"arxiv":["2306.11081"],"isi":["001172711400002"]},"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"fulldoi":"https://doi.org/10.1007/s00208-024-02812-0","ddc":["510"],"oa_version":"Published Version","doi":"10.1007/s00208-024-02812-0","intvolume":" 390","quality_controlled":"1","_id":"15098","author":[{"first_name":"Antonio","full_name":"Agresti, Antonio","orcid":"0000-0002-9573-2962","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","last_name":"Agresti"},{"first_name":"Eliseo","full_name":"Luongo, Eliseo","last_name":"Luongo"}],"status":"public","title":"Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions","month":"10","citation":{"mla":"Agresti, Antonio, and Eliseo Luongo. “Global Well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions.” Mathematische Annalen, vol. 390, Springer Nature, 2024, pp. 2727–66, doi:10.1007/s00208-024-02812-0.","ista":"Agresti A, Luongo E. 2024. Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen. 390, 2727–2766.","ama":"Agresti A, Luongo E. Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen. 2024;390:2727-2766. doi:10.1007/s00208-024-02812-0","chicago":"Agresti, Antonio, and Eliseo Luongo. “Global Well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions.” Mathematische Annalen. Springer Nature, 2024. https://doi.org/10.1007/s00208-024-02812-0.","short":"A. Agresti, E. Luongo, Mathematische Annalen 390 (2024) 2727–2766.","ieee":"A. Agresti and E. Luongo, “Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions,” Mathematische Annalen, vol. 390. Springer Nature, pp. 2727–2766, 2024.","apa":"Agresti, A., & Luongo, E. (2024). Global well-posedness and interior regularity of 2D Navier-Stokes equations with stochastic boundary conditions. Mathematische Annalen. Springer Nature. https://doi.org/10.1007/s00208-024-02812-0"},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-10-01T00:00:00Z","abstract":[{"text":"The paper is devoted to the analysis of the global well-posedness and the interior regularity of the 2D Navier–Stokes equations with inhomogeneous stochastic boundary conditions. The noise, white in time and coloured in space, can be interpreted as the physical law describing the driving mechanism on the atmosphere–ocean interface, i.e. as a balance of the shear stress of the ocean and the horizontal wind force.","lang":"eng"}],"researchdata_availability":"not applicable","year":"2024","file_date_updated":"2025-01-09T08:23:36Z","department":[{"_id":"JuFi"}],"publication_status":"published","OA_type":"hybrid","day":"01","language":[{"iso":"eng"}],"project":[{"name":"Bridging Scales in Random Materials","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","call_identifier":"H2020","grant_number":"948819"}],"date_updated":"2026-10-15T09:48:57Z","supplementarymaterial":"no","article_type":"original","file":[{"success":1,"access_level":"open_access","content_type":"application/pdf","file_size":661557,"checksum":"d55cac8bddea09a97f06612825c4f229","relation":"main_file","creator":"dernst","file_name":"2024_MathAnnalen_Agresti.pdf","file_id":"18790","date_updated":"2025-01-09T08:23:36Z","date_created":"2025-01-09T08:23:36Z"}],"publication_identifier":{"issn":["0025-5831"],"eissn":["1432-1807"]},"isi":1,"pmid":1,"type":"journal_article","publisher":"Springer Nature","page":"2727-2766","das_tickbox":"1","publication":"Mathematische Annalen","has_accepted_license":"1","acknowledgement":"The authors thank Professor Franco Flandoli for useful discussions and valuable insight into the subject. In particular, A.A. would like to thank professor Franco Flandoli for hosting and financially contributing to his research visit at Scuola Normale di Pisa in January 2023, where this work started. E.L. would like to express sincere gratitude to Professor Marco Fuhrman for igniting his interest in this particular field of research. E.L. want to thank Professor Matthias Hieber and Dr. Martin Saal for useful discussions. Finally, the authors thank the anonymous referee for helpful comments which improved the paper from its initial version.Open access funding provided by Scuola Normale Superiore within the CRUI-CARE Agreement. A. Agresti has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 948819).","ec_funded":1,"volume":390,"date_created":"2024-03-10T23:00:54Z","dataavailabilitystatement":"Data sharing not applicable to this article as no data sets were generated or analyzed during the current study.","oa":1},{"publication_status":"published","department":[{"_id":"JuFi"}],"language":[{"iso":"eng"}],"day":"01","project":[{"call_identifier":"H2020","grant_number":"948819","name":"Bridging Scales in Random Materials","_id":"0aa76401-070f-11eb-9043-b5bb049fa26d"}],"OA_type":"green","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"text":"We are interested in numerical algorithms for computing the electrical field generated by a charge distribution localized on scale l in an infinite heterogeneous correlated random medium, in a situation where the medium is only known in a box of diameter L >>l around the support of the charge. We show that the algorithm in [J. Lu, F. Otto, and L. Wang, Optimal Artificial Boundary Conditions Based on Second-Order Correctors for Three Dimensional Random Ellilptic Media, preprint, arXiv:2109.01616, 2021], suggesting optimal Dirichlet boundary conditions motivated by the multipole expansion [P. Bella, A. Giunti, and F. Otto, Comm. Partial Differential Equations, 45 (2020), pp. 561–640], still performs well in correlated media. With overwhelming probability, we obtain a convergence rate in terms of l, L, and the size of the correlations for which optimality is supported with numerical simulations. These estimates are provided for ensembles which satisfy a multiscale logarithmic Sobolev inequality, where our main tool is an extension of the semigroup estimates in [N. Clozeau, Stoch. Partial Differ. Equ. Anal. Comput., 11 (2023), pp. 1254–1378]. As part of our strategy, we construct sublinear second-order correctors in this correlated setting, which is of independent interest.","lang":"eng"}],"date_published":"2024-09-01T00:00:00Z","researchdata_availability":"no","month":"09","title":"Artificial boundary conditions for random elliptic systems with correlated coefficient field","citation":{"chicago":"Clozeau, Nicolas, and Lihan Wang. “Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field.” Multiscale Modeling and Simulation. Society for Industrial and Applied Mathematics, 2024. https://doi.org/10.1137/23M1603819.","ama":"Clozeau N, Wang L. Artificial boundary conditions for random elliptic systems with correlated coefficient field. Multiscale Modeling and Simulation. 2024;22(3):973-1029. doi:10.1137/23M1603819","short":"N. Clozeau, L. Wang, Multiscale Modeling and Simulation 22 (2024) 973–1029.","ieee":"N. Clozeau and L. Wang, “Artificial boundary conditions for random elliptic systems with correlated coefficient field,” Multiscale Modeling and Simulation, vol. 22, no. 3. Society for Industrial and Applied Mathematics, pp. 973–1029, 2024.","apa":"Clozeau, N., & Wang, L. (2024). Artificial boundary conditions for random elliptic systems with correlated coefficient field. Multiscale Modeling and Simulation. Society for Industrial and Applied Mathematics. https://doi.org/10.1137/23M1603819","mla":"Clozeau, Nicolas, and Lihan Wang. “Artificial Boundary Conditions for Random Elliptic Systems with Correlated Coefficient Field.” Multiscale Modeling and Simulation, vol. 22, no. 3, Society for Industrial and Applied Mathematics, 2024, pp. 973–1029, doi:10.1137/23M1603819.","ista":"Clozeau N, Wang L. 2024. Artificial boundary conditions for random elliptic systems with correlated coefficient field. Multiscale Modeling and Simulation. 22(3), 973–1029."},"year":"2024","fulldoi":"https://doi.org/10.1137/23M1603819","doi":"10.1137/23M1603819","intvolume":" 22","_id":"17462","status":"public","quality_controlled":"1","author":[{"last_name":"Clozeau","id":"fea1b376-906f-11eb-847d-b2c0cf46455b","full_name":"Clozeau, Nicolas","first_name":"Nicolas"},{"last_name":"Wang","first_name":"Lihan","full_name":"Wang, Lihan"}],"corr_author":"1","oa_version":"Preprint","OA_place":"repository","article_processing_charge":"No","arxiv":1,"scopus_import":"1","external_id":{"arxiv":["2309.06798"],"isi":["001285416500001"]},"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2309.06798","open_access":"1"}],"oa":1,"ec_funded":1,"volume":22,"publication":"Multiscale Modeling and Simulation","das_tickbox":"0","acknowledgement":"We would like to thank our affiliations, Institute of Science and Technology Austria and Max Planck Institute for Mathematics in the Sciences, for supporting the authors’ visits to each other, which greatly facilitated this work. We would like to thank Marc Josien and Quinn Winters for assistance in numerical implementation.","date_created":"2024-08-25T22:01:08Z","issue":"3","isi":1,"publication_identifier":{"issn":["1540-3459"],"eissn":["1540-3467"]},"page":"973-1029","type":"journal_article","publisher":"Society for Industrial and Applied Mathematics","supplementarymaterial":"no","date_updated":"2026-10-15T09:49:19Z","article_type":"original"},{"language":[{"iso":"eng"}],"day":"01","department":[{"_id":"JuFi"}],"publication_status":"published","year":"2024","month":"02","citation":{"chicago":"Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. Institute of Mathematical Statistics, 2024. https://doi.org/10.1214/22-AIHP1333.","ama":"Agresti A, Veraar M. Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. 2024;60(1):413-430. doi:10.1214/22-AIHP1333","ieee":"A. Agresti and M. Veraar, “Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions,” Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, vol. 60, no. 1. Institute of Mathematical Statistics, pp. 413–430, 2024.","short":"A. Agresti, M. Veraar, Annales de l’Institut Henri Poincaré, Probabilités et Statistiques 60 (2024) 413–430.","apa":"Agresti, A., & Veraar, M. (2024). Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. Institute of Mathematical Statistics. https://doi.org/10.1214/22-AIHP1333","ista":"Agresti A, Veraar M. 2024. Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions. Annales de l’Institut Henri Poincaré, Probabilités et Statistiques. 60(1), 413–430.","mla":"Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.” Annales de l’Institut Henri Poincaré, Probabilités et Statistiques, vol. 60, no. 1, Institute of Mathematical Statistics, 2024, pp. 413–30, doi:10.1214/22-AIHP1333."},"title":"Stochastic maximal Lp(Lq)-regularity for second order systems with periodic boundary conditions","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-02-01T00:00:00Z","abstract":[{"text":"In this paper we consider an SPDE where the leading term is a second order operator with periodic boundary conditions, coefficients which are measurable in (t,ω) , and Hölder continuous in space. Assuming stochastic parabolicity conditions, we prove Lp((0,T)×Ω,tκdt;Hσ,q(Td)) -estimates. The main novelty is that we do not require p=q . Moreover, we allow arbitrary σ∈R and weights in time. Such mixed regularity estimates play a crucial role in applications to nonlinear SPDEs which is clear from our previous work. To prove our main results we develop a general perturbation theory for SPDEs. Moreover, we prove a new result on pointwise multiplication in spaces with fractional smoothness.","lang":"eng"}],"researchdata_availability":"no","corr_author":"1","oa_version":"Preprint","intvolume":" 60","doi":"10.1214/22-AIHP1333","_id":"15119","author":[{"last_name":"Agresti","orcid":"0000-0002-9573-2962","id":"673cd0cc-9b9a-11eb-b144-88f30e1fbb72","full_name":"Agresti, Antonio","first_name":"Antonio"},{"last_name":"Veraar","full_name":"Veraar, Mark","first_name":"Mark"}],"status":"public","quality_controlled":"1","fulldoi":"https://doi.org/10.1214/22-AIHP1333","external_id":{"arxiv":["2106.01274"]},"scopus_import":"1","article_processing_charge":"No","arxiv":1,"oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2106.01274"}],"date_created":"2024-03-17T23:00:58Z","issue":"1","publication":"Annales de l'Institut Henri Poincaré, Probabilités et Statistiques","das_tickbox":"0","acknowledgement":"The first author has been partially supported by the Nachwuchsring – Network for the promotion of young scientists – at TU Kaiserslautern. The second author is supported by the VIDI subsidy 639.032.427 of the Netherlands Organisation for Scientific Research (NWO). The authors thank the anonymous referees and Max Sauerbrey for careful reading and helpful suggestions.","volume":60,"type":"journal_article","publisher":"Institute of Mathematical Statistics","page":"413-430","publication_identifier":{"issn":["0246-0203"]},"article_type":"original","date_updated":"2026-10-15T09:46:19Z","supplementarymaterial":"no"},{"publication_identifier":{"eissn":["1873-1430"],"issn":["0294-1449"]},"isi":1,"type":"journal_article","publisher":"EMS Press","page":"1117-1178","related_material":{"record":[{"relation":"earlier_version","id":"14597","status":"public"}]},"date_updated":"2026-10-15T09:49:35Z","supplementarymaterial":"no","article_type":"original","file":[{"access_level":"open_access","success":1,"file_size":1348896,"content_type":"application/pdf","checksum":"b5ad02d9abd5b4701269cd1ad0a1cc8f","creator":"dernst","relation":"main_file","file_name":"2024_AnnInstHPoincare_Fischer.pdf","file_id":"17923","date_updated":"2024-09-09T07:46:42Z","date_created":"2024-09-09T07:46:42Z"}],"oa":1,"das_tickbox":"0","publication":"Annales de l'Institut Henri Poincaré C","has_accepted_license":"1","acknowledgement":"The authors thank Sebastian Hensel for useful and helpful commentson the first draft of this work.\r\nThis project has received funding from the European Research Council (ERC)\r\nunder the European Union’s Horizon 2020 research and innovation programme (grant\r\nagreement no. 948819.","ec_funded":1,"volume":41,"date_created":"2024-09-01T22:01:09Z","issue":"5","fulldoi":"https://doi.org/10.4171/AIHPC/109","ddc":["510"],"corr_author":"1","oa_version":"Published Version","intvolume":" 41","doi":"10.4171/AIHPC/109","_id":"17481","status":"public","author":[{"full_name":"Fischer, Julian L","first_name":"Julian L","last_name":"Fischer","id":"2C12A0B0-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-0479-558X"},{"last_name":"Marveggio","id":"25647992-AA84-11E9-9D75-8427E6697425","full_name":"Marveggio, Alice","first_name":"Alice"}],"quality_controlled":"1","scopus_import":"1","article_processing_charge":"Yes","external_id":{"isi":["001293853900003"]},"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"department":[{"_id":"JuFi"}],"file_date_updated":"2024-09-09T07:46:42Z","publication_status":"published","language":[{"iso":"eng"}],"day":"24","project":[{"_id":"0aa76401-070f-11eb-9043-b5bb049fa26d","name":"Bridging Scales in Random Materials","call_identifier":"H2020","grant_number":"948819"}],"title":"Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow","month":"01","citation":{"short":"J.L. Fischer, A. Marveggio, Annales de l’Institut Henri Poincaré C 41 (2024) 1117–1178.","apa":"Fischer, J. L., & Marveggio, A. (2024). Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow. Annales de l’Institut Henri Poincaré C. EMS Press. https://doi.org/10.4171/AIHPC/109","ieee":"J. L. Fischer and A. Marveggio, “Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow,” Annales de l’Institut Henri Poincaré C, vol. 41, no. 5. EMS Press, pp. 1117–1178, 2024.","ama":"Fischer JL, Marveggio A. Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow. Annales de l’Institut Henri Poincaré C. 2024;41(5):1117-1178. doi:10.4171/AIHPC/109","chicago":"Fischer, Julian L, and Alice Marveggio. “Quantitative Convergence of the Vectorial Allen–Cahn Equation towards Multiphase Mean Curvature Flow.” Annales de l’Institut Henri Poincaré C. EMS Press, 2024. https://doi.org/10.4171/AIHPC/109.","mla":"Fischer, Julian L., and Alice Marveggio. “Quantitative Convergence of the Vectorial Allen–Cahn Equation towards Multiphase Mean Curvature Flow.” Annales de l’Institut Henri Poincaré C, vol. 41, no. 5, EMS Press, 2024, pp. 1117–78, doi:10.4171/AIHPC/109.","ista":"Fischer JL, Marveggio A. 2024. Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow. Annales de l’Institut Henri Poincaré C. 41(5), 1117–1178."},"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","abstract":[{"text":"Phase-field models such as the Allen–Cahn equation may give rise to the formation and evolution of geometric shapes, a phenomenon that may be analyzed rigorously in suitable scaling regimes. In its sharp-interface limit, the vectorial Allen–Cahn equation with a potential with N≥3 distinct minima has been conjectured to describe the evolution of branched interfaces by multiphase mean curvature flow. In the present work, we give a rigorous proof for this statement in two and three ambient dimensions and for a suitable class of potentials: as long as a strong solution to multiphase mean curvature flow exists, solutions to the vectorial Allen–Cahn equation with well-prepared initial data converge towards multiphase mean curvature flow in the limit of vanishing interface width parameter ε↘0. We even establish the rate of convergence O(ε \r\n1/2\r\n ). Our approach is based on the gradient-flow structure of the Allen–Cahn equation and its limiting motion: building on the recent concept of “gradient-flow calibrations” for multiphase mean curvature flow, we introduce a notion of relative entropy for the vectorial Allen–Cahn equation with multi-well potential. This enables us to overcome the limitations of other approaches, e.g. avoiding the need for a stability analysis of the Allen–Cahn operator or additional convergence hypotheses for the energy at positive times.","lang":"eng"}],"date_published":"2024-01-24T00:00:00Z","researchdata_availability":"no","year":"2024"},{"supplementarymaterial":"no","date_updated":"2026-10-15T09:51:23Z","type":"conference","publisher":"Association for Computing Machinery","isi":1,"publication_identifier":{"isbn":["9798400706608"],"eissn":["1043-6871"]},"date_created":"2024-06-03T07:43:15Z","ec_funded":1,"publication":"39th Annual ACM/IEEE Symposium on Logic in Computer Science","das_tickbox":"0","acknowledgement":"This research was partially supported by the ERC CoG 863818 (ForM-SMArt) grant.\r\n","oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.02479","open_access":"1"}],"conference":{"location":"Tallinn, Estonia","end_date":"2024-07-11","start_date":"2024-07-08","name":"LICS: Logic in Computer Science"},"external_id":{"arxiv":["2405.02479"],"isi":["001275042100006"]},"article_number":"6","article_processing_charge":"No","arxiv":1,"scopus_import":"1","doi":"10.1145/3661814.3662080","status":"public","_id":"17098","author":[{"first_name":"Ali","full_name":"Asadi, Ali","id":"02d96aae-000e-11ec-b801-cadd0a5eefbb","last_name":"Asadi"},{"full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu","last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X"},{"first_name":"Jakub","full_name":"Svoboda, Jakub","orcid":"0000-0002-1419-3267","id":"130759D2-D7DD-11E9-87D2-DE0DE6697425","last_name":"Svoboda"},{"id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","orcid":"0000-0001-5103-038X","last_name":"Saona Urmeneta","first_name":"Raimundo J","full_name":"Saona Urmeneta, Raimundo J"}],"quality_controlled":"1","corr_author":"1","oa_version":"Preprint","fulldoi":"https://doi.org/10.1145/3661814.3662080","year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","researchdata_availability":"no","abstract":[{"text":"Turn-based discounted-sum games are two-player zero-sum games played on finite directed graphs. The vertices of the graph are partitioned between player 1 and player 2. Plays are infinite walks on the graph where the next vertex is decided by a player that owns the current vertex. Each edge is assigned an integer weight and the payoff of a play is the discounted-sum of the weights of the play. The goal of player 1 is to maximize the discounted-sum payoff against the adversarial player 2. These games lie in NP ∩ coNP and are among the rare combinatorial problems that belong to this complexity class and the existence of a polynomial-time algorithm is a major open question. Since breaking the general exponential barrier has been a challenging problem, faster parameterized algorithms have been considered. If the discount factor is expressed in unary, then discounted-sum games can be solved in polynomial time. However, if the discount factor is arbitrary (or expressed in binary), but the weights are in unary, none of the existing approaches yield a sub-exponential bound. Our main result is a new analysis technique for a classical algorithm (namely, the strategy iteration algorithm) that present a new runtime bound which is [EQUATION] for game graphs with n vertices and absolute weights of at most W. In particular, our result yields a deterministic sub-exponential bound for games with weights that are constant or represented in unary.","lang":"eng"}],"date_published":"2024-07-08T00:00:00Z","title":"Deterministic sub-exponential algorithm for discounted-sum games with unary weights","month":"07","citation":{"mla":"Asadi, Ali, et al. “Deterministic Sub-Exponential Algorithm for Discounted-Sum Games with Unary Weights.” 39th Annual ACM/IEEE Symposium on Logic in Computer Science, 6, Association for Computing Machinery, 2024, doi:10.1145/3661814.3662080.","ista":"Asadi A, Chatterjee K, Svoboda J, Saona Urmeneta RJ. 2024. Deterministic sub-exponential algorithm for discounted-sum games with unary weights. 39th Annual ACM/IEEE Symposium on Logic in Computer Science. LICS: Logic in Computer Science, 6.","ama":"Asadi A, Chatterjee K, Svoboda J, Saona Urmeneta RJ. Deterministic sub-exponential algorithm for discounted-sum games with unary weights. In: 39th Annual ACM/IEEE Symposium on Logic in Computer Science. Association for Computing Machinery; 2024. doi:10.1145/3661814.3662080","chicago":"Asadi, Ali, Krishnendu Chatterjee, Jakub Svoboda, and Raimundo J Saona Urmeneta. “Deterministic Sub-Exponential Algorithm for Discounted-Sum Games with Unary Weights.” In 39th Annual ACM/IEEE Symposium on Logic in Computer Science. Association for Computing Machinery, 2024. https://doi.org/10.1145/3661814.3662080.","apa":"Asadi, A., Chatterjee, K., Svoboda, J., & Saona Urmeneta, R. J. (2024). Deterministic sub-exponential algorithm for discounted-sum games with unary weights. In 39th Annual ACM/IEEE Symposium on Logic in Computer Science. Tallinn, Estonia: Association for Computing Machinery. https://doi.org/10.1145/3661814.3662080","ieee":"A. Asadi, K. Chatterjee, J. Svoboda, and R. J. Saona Urmeneta, “Deterministic sub-exponential algorithm for discounted-sum games with unary weights,” in 39th Annual ACM/IEEE Symposium on Logic in Computer Science, Tallinn, Estonia, 2024.","short":"A. Asadi, K. Chatterjee, J. Svoboda, R.J. Saona Urmeneta, in:, 39th Annual ACM/IEEE Symposium on Logic in Computer Science, Association for Computing Machinery, 2024."},"day":"08","language":[{"iso":"eng"}],"project":[{"grant_number":"863818","call_identifier":"H2020","_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications"}],"publication_status":"published","department":[{"_id":"KrCh"}]},{"date_created":"2025-04-06T22:01:32Z","ec_funded":1,"alternative_title":["Advances in Neural Information Processing Systems"],"volume":37,"publication":"38th Conference on Neural Information Processing Systems","acknowledgement":"The authors thank Razvan Pascanu, Mahdi Nikdan and Soroush Tabesh for their valuable feedback, the IT department from Institute of Science and Technology Austria for the hardware support and Weights and Biases for the infrastructure to track all our experiments. Mher Safaryan has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie grant agreement No 101034413.","oa":1,"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2405.15593","open_access":"1"}],"date_updated":"2026-10-15T09:49:27Z","related_material":{"link":[{"url":"https://github.com/IST-DASLab/MicroAdam","relation":"software"}]},"type":"conference","publisher":"Neural Information Processing Systems Foundation","publication_identifier":{"issn":["1049-5258"]},"year":"2024","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2024-12-20T00:00:00Z","abstract":[{"text":"We propose a new variant of the Adam optimizer [Kingma and Ba, 2014] called\r\nMICROADAM that specifically minimizes memory overheads, while maintaining\r\ntheoretical convergence guarantees. We achieve this by compressing the gradient\r\ninformation before it is fed into the optimizer state, thereby reducing its memory\r\nfootprint significantly. We control the resulting compression error via a novel\r\ninstance of the classical error feedback mechanism from distributed optimization [Seide et al., 2014, Alistarh et al., 2018, Karimireddy et al., 2019] in which\r\nthe error correction information is itself compressed to allow for practical memory\r\ngains. We prove that the resulting approach maintains theoretical convergence\r\nguarantees competitive to those of AMSGrad, while providing good practical performance. Specifically, we show that MICROADAM can be implemented efficiently\r\non GPUs: on both million-scale (BERT) and billion-scale (LLaMA) models, MICROADAM provides practical convergence competitive to that of the uncompressed\r\nAdam baseline, with lower memory usage and similar running time. Our code is\r\navailable at https://github.com/IST-DASLab/MicroAdam.","lang":"eng"}],"citation":{"ista":"Modoranu I-V, Safaryan M, Malinovsky G, Kurtic E, Robert T, Richtárik P, Alistarh D-A. 2024. MICROADAM: Accurate adaptive optimization with low space overhead and provable convergence. 38th Conference on Neural Information Processing Systems. , Advances in Neural Information Processing Systems, vol. 37.","mla":"Modoranu, Ionut-Vlad, et al. “MICROADAM: Accurate Adaptive Optimization with Low Space Overhead and Provable Convergence.” 38th Conference on Neural Information Processing Systems, vol. 37, Neural Information Processing Systems Foundation, 2024, doi:10.52202/079017-0001.","ama":"Modoranu I-V, Safaryan M, Malinovsky G, et al. MICROADAM: Accurate adaptive optimization with low space overhead and provable convergence. In: 38th Conference on Neural Information Processing Systems. Vol 37. Neural Information Processing Systems Foundation; 2024. doi:10.52202/079017-0001","chicago":"Modoranu, Ionut-Vlad, Mher Safaryan, Grigory Malinovsky, Eldar Kurtic, Thomas Robert, Peter Richtárik, and Dan-Adrian Alistarh. “MICROADAM: Accurate Adaptive Optimization with Low Space Overhead and Provable Convergence.” In 38th Conference on Neural Information Processing Systems, Vol. 37. Neural Information Processing Systems Foundation, 2024. https://doi.org/10.52202/079017-0001.","short":"I.-V. Modoranu, M. Safaryan, G. Malinovsky, E. Kurtic, T. Robert, P. Richtárik, D.-A. Alistarh, in:, 38th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2024.","ieee":"I.-V. Modoranu et al., “MICROADAM: Accurate adaptive optimization with low space overhead and provable convergence,” in 38th Conference on Neural Information Processing Systems, 2024, vol. 37.","apa":"Modoranu, I.-V., Safaryan, M., Malinovsky, G., Kurtic, E., Robert, T., Richtárik, P., & Alistarh, D.-A. (2024). MICROADAM: Accurate adaptive optimization with low space overhead and provable convergence. In 38th Conference on Neural Information Processing Systems (Vol. 37). Neural Information Processing Systems Foundation. https://doi.org/10.52202/079017-0001"},"month":"12","title":"MICROADAM: Accurate adaptive optimization with low space overhead and provable convergence","day":"20","language":[{"iso":"eng"}],"project":[{"call_identifier":"H2020","grant_number":"101034413","_id":"fc2ed2f7-9c52-11eb-aca3-c01059dda49c","name":"IST-BRIDGE: International postdoctoral program"}],"OA_type":"green","publication_status":"published","acknowledged_ssus":[{"_id":"CampIT"}],"department":[{"_id":"DaAl"}],"external_id":{"arxiv":["2405.15593"]},"OA_place":"repository","article_processing_charge":"No","arxiv":1,"scopus_import":"1","intvolume":" 37","doi":"10.52202/079017-0001","author":[{"first_name":"Ionut-Vlad","full_name":"Modoranu, Ionut-Vlad","id":"449f7a18-f128-11eb-9611-9b430c0c6333","last_name":"Modoranu"},{"last_name":"Safaryan","id":"dd546b39-0804-11ed-9c55-ef075c39778d","full_name":"Safaryan, Mher","first_name":"Mher"},{"first_name":"Grigory","full_name":"Malinovsky, Grigory","last_name":"Malinovsky"},{"first_name":"Eldar","full_name":"Kurtic, Eldar","id":"47beb3a5-07b5-11eb-9b87-b108ec578218","last_name":"Kurtic"},{"id":"de632733-1457-11f0-ae22-b5914b8c1c41","last_name":"Robert","first_name":"Thomas","full_name":"Robert, Thomas"},{"last_name":"Richtárik","full_name":"Richtárik, Peter","first_name":"Peter"},{"first_name":"Dan-Adrian","full_name":"Alistarh, Dan-Adrian","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0003-3650-940X","last_name":"Alistarh"}],"_id":"19510","status":"public","quality_controlled":"1","corr_author":"1","oa_version":"Preprint","fulldoi":"https://doi.org/10.52202/079017-0001"},{"fulldoi":"https://doi.org/10.1103/PhysRevB.110.L201114","oa_version":"Preprint","_id":"18654","quality_controlled":"1","status":"public","author":[{"full_name":"Sato, Toshihiro","first_name":"Toshihiro","last_name":"Sato"},{"first_name":"B. J.","full_name":"Ramshaw, B. J.","last_name":"Ramshaw"},{"orcid":"0000-0001-9760-3147","id":"13C26AC0-EB69-11E9-87C6-5F3BE6697425","last_name":"Modic","first_name":"Kimberly A","full_name":"Modic, Kimberly A"},{"last_name":"Assaad","first_name":"Fakher F.","full_name":"Assaad, Fakher F."}],"intvolume":" 110","doi":"10.1103/PhysRevB.110.L201114","scopus_import":"1","arxiv":1,"OA_place":"repository","article_processing_charge":"No","article_number":"L201114","external_id":{"isi":["001447562900001"],"arxiv":["2312.03080"]},"department":[{"_id":"KiMo"}],"publication_status":"published","OA_type":"green","project":[{"grant_number":"F8607","name":"Center for Correlated Quantum Materials and Solid State Quantum Systems: Scale- invariance in entangled quantum spin systems","_id":"34ac8b51-11ca-11ed-8bc3-86c15daa9f8f"}],"day":"15","language":[{"iso":"eng"}],"citation":{"mla":"Sato, Toshihiro, et al. “Scale-Invariant Magnetic Anisotropy in α-RuCl3: A Quantum Monte Carlo Study.” Physical Review B, vol. 110, no. 20, L201114, American Physical Society, 2024, doi:10.1103/PhysRevB.110.L201114.","ista":"Sato T, Ramshaw BJ, Modic KA, Assaad FF. 2024. Scale-invariant magnetic anisotropy in α-RuCl3: A quantum Monte Carlo study. Physical Review B. 110(20), L201114.","chicago":"Sato, Toshihiro, B. J. Ramshaw, Kimberly A Modic, and Fakher F. Assaad. “Scale-Invariant Magnetic Anisotropy in α-RuCl3: A Quantum Monte Carlo Study.” Physical Review B. American Physical Society, 2024. https://doi.org/10.1103/PhysRevB.110.L201114.","ama":"Sato T, Ramshaw BJ, Modic KA, Assaad FF. Scale-invariant magnetic anisotropy in α-RuCl3: A quantum Monte Carlo study. Physical Review B. 2024;110(20). doi:10.1103/PhysRevB.110.L201114","ieee":"T. Sato, B. J. Ramshaw, K. A. Modic, and F. F. Assaad, “Scale-invariant magnetic anisotropy in α-RuCl3: A quantum Monte Carlo study,” Physical Review B, vol. 110, no. 20. American Physical Society, 2024.","short":"T. Sato, B.J. Ramshaw, K.A. Modic, F.F. Assaad, Physical Review B 110 (2024).","apa":"Sato, T., Ramshaw, B. J., Modic, K. A., & Assaad, F. F. (2024). Scale-invariant magnetic anisotropy in α-RuCl3: A quantum Monte Carlo study. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.110.L201114"},"title":"Scale-invariant magnetic anisotropy in α-RuCl3: A quantum Monte Carlo study","month":"11","abstract":[{"lang":"eng","text":"We compute the rotational anisotropy of the free energy of 𝛼−RuCl3 in an external magnetic field. This quantity, known as the magnetotropic susceptibility, 𝑘, relates to the second derivative of the free energy with respect to the angle of rotation. We have used approximation-free, auxiliary-field quantum Monte Carlo simulations for a realistic model of 𝛼−RuCl3 and optimized the path integral to alleviate the negative sign problem. This allows us to reach temperatures down to 30K—an energy scale below the dominant Kitaev coupling. We demonstrate that the magnetotropic spin susceptibility in this model of 𝛼−RuCl3 displays scaling behavior 𝑘=𝑇𝑓(𝐵/𝑇) at high temperatures. Once the uniform susceptibility departs from the Curie law (i.e., at the energy scale of the exchange interactions), it appears to transition to an emergent scalinglike behavior, characterized by a different function 𝑓 at lower temperatures, stemming from the locality of torque fluctuations. We observe a remarkable numerical match between experiment and simulations and we also find qualitative agreement with the pure Kitaev model. In comparison, for the XXZ Heisenberg Hamiltonian, the scaling 𝑘=𝑇𝑓(𝐵/𝑇) breaks down at a temperature scale where the uniform spin susceptibility deviates from the Curie law and never reemerges at low temperatures."}],"researchdata_availability":"no","date_published":"2024-11-15T00:00:00Z","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","year":"2024","isi":1,"publication_identifier":{"eissn":["2469-9969"],"issn":["2469-9950"]},"publisher":"American Physical Society","type":"journal_article","date_updated":"2026-10-15T09:50:59Z","supplementarymaterial":"yes","article_type":"letter_note","main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2312.03080","open_access":"1"}],"oa":1,"acknowledgement":"We gratefully acknowledge the Gauss Centre for Supercomputing e.V. for funding this project by providing computing time on the GCS Supercomputer SUPERMUC-NG at the Leibniz Supercomputing Centre (Project No. pn73xu) as well as the scientific support and HPC resources provided by the Erlangen National High Performance Computing Center (NHR@FAU) of the Friedrich-Alexander-Universität Erlangen-Nürnberg (FAU) under the NHR Project b133ae. NHR funding is provided by federal and Bavarian state authorities. NHR@FAU hardware is partially funded by the German Research Foundation (DFG) – 440719683. T.S. thanks funding from the Deutsche Forschungsgemeinschaft under Grant No. SA 3986/1-1 as well as the Würzburg-Dresden Cluster of Excellence on Complexity and Topology in Quantum Matter ct.qmat (EXC 2147, Project ID 390858490). F.F.A. acknowledges financial support from the German Research Foundation (DFG) under the Grant AS 120/16-1 (Project No. 493886309) that is part of the collaborative research project SFB Q-M&S funded by the Austrian Science Fund (FWF) F 86. K.A.M. thanks financial support from the Austrian Science Fund, SFB F 86, Q-M&S.","das_tickbox":"0","publication":"Physical Review B","volume":110,"issue":"20","date_created":"2024-12-15T23:01:50Z"},{"conference":{"end_date":"2024-12-15","location":"Vancouver, Canada","start_date":"2024-12-09","name":"NeurIPS: Neural Information Processing Systems"},"external_id":{"arxiv":["2404.00456"]},"article_processing_charge":"No","OA_place":"repository","arxiv":1,"scopus_import":"1","doi":"10.52202/079017-3180","intvolume":" 37","_id":"19511","quality_controlled":"1","status":"public","author":[{"first_name":"Saleh","full_name":"Ashkboos, Saleh","last_name":"Ashkboos"},{"full_name":"Mohtashami, Amirkeivan","first_name":"Amirkeivan","last_name":"Mohtashami"},{"last_name":"Croci","first_name":"Maximilian L.","full_name":"Croci, Maximilian L."},{"last_name":"Li","full_name":"Li, Bo","first_name":"Bo"},{"full_name":"Cameron, Pashmina","first_name":"Pashmina","last_name":"Cameron"},{"full_name":"Jaggi, Martin","first_name":"Martin","last_name":"Jaggi"},{"first_name":"Dan-Adrian","full_name":"Alistarh, Dan-Adrian","orcid":"0000-0003-3650-940X","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","last_name":"Alistarh"},{"last_name":"Hoefler","full_name":"Hoefler, Torsten","first_name":"Torsten"},{"first_name":"James","full_name":"Hensman, James","last_name":"Hensman"}],"oa_version":"Preprint","fulldoi":"https://doi.org/10.52202/079017-3180","year":"2024","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_published":"2024-12-20T00:00:00Z","abstract":[{"text":"We introduce QuaRot, a new Quantization scheme based on Rotations, which is able to quantize LLMs end-to-end, including all weights, activations, and KV cache in 4 bits. QuaRot rotates LLMs in a way that removes outliers from the hidden state without changing the output, making quantization easier. This computational invariance is applied to the hidden state (residual) of the LLM, as well as to the activations of the feed-forward components, aspects of the attention mechanism, and to the KV cache. The result is a quantized model where all matrix multiplications are performed in 4 bits, without any channels identified for retention in higher precision. Our 4-bit quantized LLAMA2-70B model has losses of at most 0.47 WikiText-2 perplexity and retains 99% of the zero-shot performance. We also show that QuaRot can provide lossless 6 and 8 bit LLAMA-2 models without any calibration data using round-to-nearest quantization. Code is available at github.com/spcl/QuaRot.","lang":"eng"}],"title":"QuaRot: Outlier-free 4-bit inference in rotated LLMs","citation":{"chicago":"Ashkboos, Saleh, Amirkeivan Mohtashami, Maximilian L. Croci, Bo Li, Pashmina Cameron, Martin Jaggi, Dan-Adrian Alistarh, Torsten Hoefler, and James Hensman. “QuaRot: Outlier-Free 4-Bit Inference in Rotated LLMs.” In 38th Conference on Neural Information Processing Systems, Vol. 37. Neural Information Processing Systems Foundation, 2024. https://doi.org/10.52202/079017-3180.","ama":"Ashkboos S, Mohtashami A, Croci ML, et al. QuaRot: Outlier-free 4-bit inference in rotated LLMs. In: 38th Conference on Neural Information Processing Systems. Vol 37. Neural Information Processing Systems Foundation; 2024. doi:10.52202/079017-3180","short":"S. Ashkboos, A. Mohtashami, M.L. Croci, B. Li, P. Cameron, M. Jaggi, D.-A. Alistarh, T. Hoefler, J. Hensman, in:, 38th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2024.","apa":"Ashkboos, S., Mohtashami, A., Croci, M. L., Li, B., Cameron, P., Jaggi, M., … Hensman, J. (2024). QuaRot: Outlier-free 4-bit inference in rotated LLMs. In 38th Conference on Neural Information Processing Systems (Vol. 37). Vancouver, Canada: Neural Information Processing Systems Foundation. https://doi.org/10.52202/079017-3180","ieee":"S. Ashkboos et al., “QuaRot: Outlier-free 4-bit inference in rotated LLMs,” in 38th Conference on Neural Information Processing Systems, Vancouver, Canada, 2024, vol. 37.","mla":"Ashkboos, Saleh, et al. “QuaRot: Outlier-Free 4-Bit Inference in Rotated LLMs.” 38th Conference on Neural Information Processing Systems, vol. 37, Neural Information Processing Systems Foundation, 2024, doi:10.52202/079017-3180.","ista":"Ashkboos S, Mohtashami A, Croci ML, Li B, Cameron P, Jaggi M, Alistarh D-A, Hoefler T, Hensman J. 2024. QuaRot: Outlier-free 4-bit inference in rotated LLMs. 38th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 37."},"month":"12","day":"20","language":[{"iso":"eng"}],"OA_type":"green","publication_status":"published","department":[{"_id":"DaAl"}],"date_updated":"2026-10-15T09:50:27Z","related_material":{"link":[{"relation":"software","url":"https://github.com/spcl/QuaRot"}]},"type":"conference","publisher":"Neural Information Processing Systems Foundation","publication_identifier":{"issn":["1049-5258"]},"date_created":"2025-04-06T22:01:32Z","volume":37,"alternative_title":["Advances in Neural Information Processing Systems"],"publication":"38th Conference on Neural Information Processing Systems","oa":1,"main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2404.00456"}]},{"date_created":"2024-02-18T23:01:01Z","issue":"5","volume":109,"publication":"Physical Review B","das_tickbox":"0","acknowledgement":"The authors thank Bernardo Pentke for the SEM micrographs (Departamento Fisicoquímica de Materiales CABCNEA). We are indebted to Julián Sereni for useful discussions. D. G. F. acknowledges financial support provided by Agencia I+D+i, Argentina, Grant No. PICT-2021-I-INVI00852 and Universidad Nacional de Cuyo (SIIP) Grant No. 06/C018-T1. A. A. A. acknowledges financial support provided by PICT 2018-01546 and PICT 2020A-03661 of the\r\nAgencia I+D+i. ","article_type":"original","supplementarymaterial":"yes","date_updated":"2026-10-15T09:50:31Z","type":"journal_article","publisher":"American Physical Society","publication_identifier":{"issn":["2469-9950"],"eissn":["2469-9969"]},"isi":1,"year":"2024","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-02-01T00:00:00Z","abstract":[{"lang":"eng","text":"Magnetic frustration allows to access novel and intriguing properties of magnetic systems and has been explored mainly in planar triangular-like arrays of magnetic ions. In this work, we describe the phosphide Ce6Ni6P17, where the Ce+3 ions accommodate in a body-centered cubic lattice of Ce6 regular octahedra. From measurements of magnetization, specific heat, and resistivity, we determine a rich phase diagram as a function of temperature and magnetic field in which different magnetic phases are found. Besides clear evidence of magnetic frustration is obtained from entropy analysis. At zero field, a second-order antiferromagnetic transition occurs at TN1≈1 K followed by a first-order transition at TN2≈0.45 K. With magnetic field new magnetic phases appear, including a weakly first-order transition which ends in a classical critical point and a third magnetic phase. We also study the exact solution of the spin-1/2 Heisenberg model in an octahedron which allows us a qualitative understanding of the phase diagram and compare with the experimental results."}],"researchdata_availability":"no","citation":{"ista":"Franco DG, Avalos R, Hafner D, Modic KA, Prots Y, Stockert O, Hoser A, Moll PJW, Brando M, Aligia AA, Geibel C. 2024. Frustrated magnetism in octahedra-based Ce6 Ni6 P17. Physical Review B. 109(5), 054405.","mla":"Franco, D. G., et al. “Frustrated Magnetism in Octahedra-Based Ce6 Ni6 P17.” Physical Review B, vol. 109, no. 5, 054405, American Physical Society, 2024, doi:10.1103/PhysRevB.109.054405.","ama":"Franco DG, Avalos R, Hafner D, et al. Frustrated magnetism in octahedra-based Ce6 Ni6 P17. Physical Review B. 2024;109(5). doi:10.1103/PhysRevB.109.054405","chicago":"Franco, D. G., R. Avalos, D. Hafner, Kimberly A Modic, Yu Prots, O. Stockert, A. Hoser, et al. “Frustrated Magnetism in Octahedra-Based Ce6 Ni6 P17.” Physical Review B. American Physical Society, 2024. https://doi.org/10.1103/PhysRevB.109.054405.","apa":"Franco, D. G., Avalos, R., Hafner, D., Modic, K. A., Prots, Y., Stockert, O., … Geibel, C. (2024). Frustrated magnetism in octahedra-based Ce6 Ni6 P17. Physical Review B. American Physical Society. https://doi.org/10.1103/PhysRevB.109.054405","short":"D.G. Franco, R. Avalos, D. Hafner, K.A. Modic, Y. Prots, O. Stockert, A. Hoser, P.J.W. Moll, M. Brando, A.A. Aligia, C. Geibel, Physical Review B 109 (2024).","ieee":"D. G. Franco et al., “Frustrated magnetism in octahedra-based Ce6 Ni6 P17,” Physical Review B, vol. 109, no. 5. American Physical Society, 2024."},"title":"Frustrated magnetism in octahedra-based Ce6 Ni6 P17","month":"02","language":[{"iso":"eng"}],"day":"01","publication_status":"published","department":[{"_id":"KiMo"}],"external_id":{"isi":["001198571800008"]},"article_number":"054405","article_processing_charge":"No","scopus_import":"1","intvolume":" 109","doi":"10.1103/PhysRevB.109.054405","_id":"15003","author":[{"full_name":"Franco, D. G.","first_name":"D. G.","last_name":"Franco"},{"last_name":"Avalos","first_name":"R.","full_name":"Avalos, R."},{"full_name":"Hafner, D.","first_name":"D.","last_name":"Hafner"},{"orcid":"0000-0001-9760-3147","id":"13C26AC0-EB69-11E9-87C6-5F3BE6697425","last_name":"Modic","first_name":"Kimberly A","full_name":"Modic, Kimberly A"},{"first_name":"Yu","full_name":"Prots, Yu","last_name":"Prots"},{"last_name":"Stockert","full_name":"Stockert, O.","first_name":"O."},{"full_name":"Hoser, A.","first_name":"A.","last_name":"Hoser"},{"first_name":"P. J.W.","full_name":"Moll, P. J.W.","last_name":"Moll"},{"last_name":"Brando","full_name":"Brando, M.","first_name":"M."},{"last_name":"Aligia","full_name":"Aligia, A. A.","first_name":"A. A."},{"last_name":"Geibel","full_name":"Geibel, C.","first_name":"C."}],"status":"public","quality_controlled":"1","oa_version":"None","fulldoi":"https://doi.org/10.1103/PhysRevB.109.054405"},{"arxiv":1,"article_processing_charge":"No","OA_place":"repository","scopus_import":"1","external_id":{"arxiv":["2112.11150"]},"fulldoi":"https://doi.org/10.1512/iumj.2024.73.9701","_id":"18926","status":"public","quality_controlled":"1","author":[{"first_name":"Sebastian","full_name":"Hensel, Sebastian","orcid":"0000-0001-7252-8072","id":"4D23B7DA-F248-11E8-B48F-1D18A9856A87","last_name":"Hensel"},{"first_name":"Tim","full_name":"Laux, Tim","last_name":"Laux"}],"doi":"10.1512/iumj.2024.73.9701","intvolume":" 73","oa_version":"Preprint","corr_author":"1","date_published":"2024-01-01T00:00:00Z","abstract":[{"lang":"eng","text":"We study weak solutions to mean curvature flow satisfying Young’s angle condition for general contact angles α ∈ (0, π). First, we construct BV solutions by using the Allen-Cahn approximation with boundary contact energy as proposed by Owen and Sternberg. Second, we prove the weak-strong uniqueness and stability for this solution concept. The main ingredient for both results is a relative energy, which can also be interpreted as a tilt excess. "}],"researchdata_availability":"unclear","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","title":"BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness","month":"01","citation":{"ista":"Hensel S, Laux T. 2024. BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness. Indiana University Mathematics Journal. 73(1), 111–148.","mla":"Hensel, Sebastian, and Tim Laux. “BV Solutions for Mean Curvature Flow with Constant Angle: Allen-Cahn Approximation and Weak-Strong Uniqueness.” Indiana University Mathematics Journal, vol. 73, no. 1, Indiana University Mathematics Journal, 2024, pp. 111–48, doi:10.1512/iumj.2024.73.9701.","apa":"Hensel, S., & Laux, T. (2024). BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness. Indiana University Mathematics Journal. Indiana University Mathematics Journal. https://doi.org/10.1512/iumj.2024.73.9701","ieee":"S. Hensel and T. Laux, “BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness,” Indiana University Mathematics Journal, vol. 73, no. 1. Indiana University Mathematics Journal, pp. 111–148, 2024.","short":"S. Hensel, T. Laux, Indiana University Mathematics Journal 73 (2024) 111–148.","chicago":"Hensel, Sebastian, and Tim Laux. “BV Solutions for Mean Curvature Flow with Constant Angle: Allen-Cahn Approximation and Weak-Strong Uniqueness.” Indiana University Mathematics Journal. Indiana University Mathematics Journal, 2024. https://doi.org/10.1512/iumj.2024.73.9701.","ama":"Hensel S, Laux T. BV solutions for mean curvature flow with constant angle: Allen-Cahn approximation and weak-strong uniqueness. Indiana University Mathematics Journal. 2024;73(1):111-148. doi:10.1512/iumj.2024.73.9701"},"year":"2024","publication_status":"published","department":[{"_id":"JuFi"}],"language":[{"iso":"eng"}],"day":"01","OA_type":"green","supplementarymaterial":"unclear","date_updated":"2026-10-15T09:49:54Z","article_type":"original","publication_identifier":{"issn":["0022-2518"]},"page":"111-148","publisher":"Indiana University Mathematics Journal","type":"journal_article","volume":73,"publication":"Indiana University Mathematics Journal","issue":"1","date_created":"2025-01-27T15:20:19Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.48550/arXiv.2112.11150"}],"oa":1},{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.2401.16252","open_access":"1"}],"oa":1,"das_tickbox":"0","publication":"arXiv","acknowledgement":"This work was supported by the French Agence Nationale de la Recherche (ANR) under references ANR-21-CE40-0020 (CONVERGENCE project) and ANR-20-CE40-0002 (GrHyDy), and by Fondecyt grant 1220174. This collaboration was mainly conducted during a 1-year visit of Bruno Ziliotto to the Center for Mathematical Modeling (CMM) at University of Chile in 2023,\r\nunder the IRL program of CNRS.","date_created":"2024-06-03T07:45:22Z","type":"preprint","supplementarymaterial":"no","date_updated":"2026-10-15T09:51:45Z","publication_status":"submitted","department":[{"_id":"KrCh"}],"day":"29","language":[{"iso":"eng"}],"user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","date_published":"2024-01-29T00:00:00Z","abstract":[{"text":"This paper considers a class of two-player zero-sum games on directed graphs whose vertices are equipped with random payoffs of bounded support known by both players.\r\nStarting from a fixed vertex, players take turns to move a token along the edges of the graph.\r\nOn the one hand, for acyclic directed graphs of bounded degree and sub-exponential expansion, we show that the value of the game converges almost surely to a constant at an exponential rate dominated in terms of the expansion.\r\nOn the other hand, for the infinite d-ary tree that does not fall into the previous class of graphs, we show convergence at a double-exponential rate in terms of the expansion.","lang":"eng"}],"researchdata_availability":"no","title":"Zero-sum random games on directed graphs","month":"01","citation":{"mla":"Attia, Luc, et al. “Zero-Sum Random Games on Directed Graphs.” ArXiv, 2401.16252, doi:10.48550/arXiv.2401.16252.","ista":"Attia L, Lichev L, Mitsche D, Saona Urmeneta RJ, Ziliotto B. Zero-sum random games on directed graphs. arXiv, 2401.16252.","ama":"Attia L, Lichev L, Mitsche D, Saona Urmeneta RJ, Ziliotto B. Zero-sum random games on directed graphs. arXiv. doi:10.48550/arXiv.2401.16252","chicago":"Attia, Luc, Lyuben Lichev, Dieter Mitsche, Raimundo J Saona Urmeneta, and Bruno Ziliotto. “Zero-Sum Random Games on Directed Graphs.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2401.16252.","ieee":"L. Attia, L. Lichev, D. Mitsche, R. J. Saona Urmeneta, and B. Ziliotto, “Zero-sum random games on directed graphs,” arXiv. .","short":"L. Attia, L. Lichev, D. Mitsche, R.J. Saona Urmeneta, B. Ziliotto, ArXiv (n.d.).","apa":"Attia, L., Lichev, L., Mitsche, D., Saona Urmeneta, R. J., & Ziliotto, B. (n.d.). Zero-sum random games on directed graphs. arXiv. https://doi.org/10.48550/arXiv.2401.16252"},"year":"2024","fulldoi":"https://doi.org/10.48550/arXiv.2401.16252","doi":"10.48550/arXiv.2401.16252","status":"public","author":[{"full_name":"Attia, Luc","first_name":"Luc","last_name":"Attia"},{"last_name":"Lichev","first_name":"Lyuben","full_name":"Lichev, Lyuben"},{"first_name":"Dieter","full_name":"Mitsche, Dieter","last_name":"Mitsche"},{"first_name":"Raimundo J","full_name":"Saona Urmeneta, Raimundo J","orcid":"0000-0001-5103-038X","id":"BD1DF4C4-D767-11E9-B658-BC13E6697425","last_name":"Saona Urmeneta"},{"full_name":"Ziliotto, Bruno","first_name":"Bruno","last_name":"Ziliotto"}],"_id":"17101","oa_version":"Preprint","article_processing_charge":"No","arxiv":1,"external_id":{"arxiv":["2401.16252"]},"article_number":"2401.16252"},{"month":"01","title":"On the convergence time in graphical games: A locality-sensitive approach","citation":{"chicago":"Hirvonen, Juho, Laura Schmid, Krishnendu Chatterjee, and Stefan Schmid. “On the Convergence Time in Graphical Games: A Locality-Sensitive Approach.” In 27th International Conference on Principles of Distributed Systems, Vol. 286. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024. https://doi.org/10.4230/LIPIcs.OPODIS.2023.11.","ama":"Hirvonen J, Schmid L, Chatterjee K, Schmid S. On the convergence time in graphical games: A locality-sensitive approach. In: 27th International Conference on Principles of Distributed Systems. Vol 286. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2024. doi:10.4230/LIPIcs.OPODIS.2023.11","apa":"Hirvonen, J., Schmid, L., Chatterjee, K., & Schmid, S. (2024). On the convergence time in graphical games: A locality-sensitive approach. In 27th International Conference on Principles of Distributed Systems (Vol. 286). Tokyo, Japan: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPIcs.OPODIS.2023.11","short":"J. Hirvonen, L. Schmid, K. Chatterjee, S. Schmid, in:, 27th International Conference on Principles of Distributed Systems, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024.","ieee":"J. Hirvonen, L. Schmid, K. Chatterjee, and S. Schmid, “On the convergence time in graphical games: A locality-sensitive approach,” in 27th International Conference on Principles of Distributed Systems, Tokyo, Japan, 2024, vol. 286.","mla":"Hirvonen, Juho, et al. “On the Convergence Time in Graphical Games: A Locality-Sensitive Approach.” 27th International Conference on Principles of Distributed Systems, vol. 286, 11, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2024, doi:10.4230/LIPIcs.OPODIS.2023.11.","ista":"Hirvonen J, Schmid L, Chatterjee K, Schmid S. 2024. On the convergence time in graphical games: A locality-sensitive approach. 27th International Conference on Principles of Distributed Systems. OPODIS: Conference on Principles of Distributed Systems, LIPIcs, vol. 286, 11."},"date_published":"2024-01-18T00:00:00Z","abstract":[{"text":"Graphical games are a useful framework for modeling the interactions of (selfish) agents who are connected via an underlying topology and whose behaviors influence each other. They have wide applications ranging from computer science to economics and biology. Yet, even though an agent’s payoff only depends on the actions of their direct neighbors in graphical games, computing the Nash equilibria and making statements about the convergence time of \"natural\" local dynamics in particular can be highly challenging. In this work, we present a novel approach for classifying complexity of Nash equilibria in graphical games by establishing a connection to local graph algorithms, a subfield of distributed computing. In particular, we make the observation that the equilibria of graphical games are equivalent to locally verifiable labelings (LVL) in graphs; vertex labelings which are verifiable with constant-round local algorithms. This connection allows us to derive novel lower bounds on the convergence time to equilibrium of best-response dynamics in graphical games. Since we establish that distributed convergence can sometimes be provably slow, we also introduce and give bounds on an intuitive notion of \"time-constrained\" inefficiency of best responses. We exemplify how our results can be used in the implementation of mechanisms that ensure convergence of best responses to a Nash equilibrium. Our results thus also give insight into the convergence of strategy-proof algorithms for graphical games, which is still not well understood.","lang":"eng"}],"researchdata_availability":"no","user_id":"317138e5-6ab7-11ef-aa6d-ffef3953e345","year":"2024","file_date_updated":"2024-02-26T09:04:58Z","department":[{"_id":"KrCh"}],"publication_status":"published","project":[{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818"}],"language":[{"iso":"eng"}],"day":"18","scopus_import":"1","arxiv":1,"article_processing_charge":"No","article_number":"11","tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"external_id":{"isi":["001585185800011"],"arxiv":["2102.13457"]},"conference":{"start_date":"2023-12-06","name":"OPODIS: Conference on Principles of Distributed Systems","location":"Tokyo, Japan","end_date":"2023-12-08"},"fulldoi":"https://doi.org/10.4230/LIPIcs.OPODIS.2023.11","ddc":["000"],"oa_version":"Published Version","corr_author":"1","_id":"15006","status":"public","quality_controlled":"1","author":[{"last_name":"Hirvonen","full_name":"Hirvonen, Juho","first_name":"Juho"},{"last_name":"Schmid","id":"38B437DE-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-6978-7329","full_name":"Schmid, Laura","first_name":"Laura"},{"last_name":"Chatterjee","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-4561-241X","full_name":"Chatterjee, Krishnendu","first_name":"Krishnendu"},{"first_name":"Stefan","full_name":"Schmid, Stefan","last_name":"Schmid"}],"doi":"10.4230/LIPIcs.OPODIS.2023.11","intvolume":" 286","acknowledgement":"This work was partially funded by the Academy of Finland, grant 314888, the European Research Council CoG 863818 (ForM-SMArt), and the Austrian Science Fund (FWF) project I 4800-N (ADVISE). LS was supported by the Stochastic Analysis and Application Research Center (SAARC) under National Research Foundation of Korea grant NRF-2019R1A5A1028324.","has_accepted_license":"1","das_tickbox":"0","publication":"27th International Conference on Principles of Distributed Systems","alternative_title":["LIPIcs"],"volume":286,"ec_funded":1,"date_created":"2024-02-18T23:01:01Z","oa":1,"date_updated":"2026-10-15T10:07:37Z","supplementarymaterial":"no","file":[{"date_created":"2024-02-26T09:04:58Z","date_updated":"2024-02-26T09:04:58Z","file_name":"2024_LIPICs_Hirvonen.pdf","file_id":"15028","relation":"main_file","creator":"dernst","checksum":"4fc7eea6e4ba140b904781fc7df868ec","file_size":867363,"content_type":"application/pdf","success":1,"access_level":"open_access"}],"publication_identifier":{"issn":["1868-8969"],"isbn":["9783959773089"]},"isi":1,"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","type":"conference"}]