--- _id: '11732' abstract: - lang: eng text: We study the BCS energy gap Ξ in the high–density limit and derive an asymptotic formula, which strongly depends on the strength of the interaction potential V on the Fermi surface. In combination with the recent result by one of us (Math. Phys. Anal. Geom. 25, 3, 2022) on the critical temperature Tc at high densities, we prove the universality of the ratio of the energy gap and the critical temperature. acknowledgement: "We are grateful to Robert Seiringer for helpful discussions and many valuable comments\r\non an earlier version of the manuscript. J.H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond’ No. 101020331. Open access funding provided by Institute of Science and Technology (IST Austria)" article_number: '5' article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X - first_name: Asbjørn Bækgaard full_name: Lauritsen, Asbjørn Bækgaard id: e1a2682f-dc8d-11ea-abe3-81da9ac728f1 last_name: Lauritsen orcid: 0000-0003-4476-2288 citation: ama: Henheik SJ, Lauritsen AB. The BCS energy gap at high density. Journal of Statistical Physics. 2022;189. doi:10.1007/s10955-022-02965-9 apa: Henheik, S. J., & Lauritsen, A. B. (2022). The BCS energy gap at high density. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-022-02965-9 chicago: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics. Springer Nature, 2022. https://doi.org/10.1007/s10955-022-02965-9. ieee: S. J. Henheik and A. B. Lauritsen, “The BCS energy gap at high density,” Journal of Statistical Physics, vol. 189. Springer Nature, 2022. ista: Henheik SJ, Lauritsen AB. 2022. The BCS energy gap at high density. Journal of Statistical Physics. 189, 5. mla: Henheik, Sven Joscha, and Asbjørn Bækgaard Lauritsen. “The BCS Energy Gap at High Density.” Journal of Statistical Physics, vol. 189, 5, Springer Nature, 2022, doi:10.1007/s10955-022-02965-9. short: S.J. Henheik, A.B. Lauritsen, Journal of Statistical Physics 189 (2022). corr_author: '1' date_created: 2022-08-05T11:36:56Z date_published: 2022-07-29T00:00:00Z date_updated: 2026-07-29T13:18:16Z day: '29' ddc: - '530' department: - _id: GradSch - _id: LaEr - _id: RoSe doi: 10.1007/s10955-022-02965-9 ec_funded: 1 external_id: isi: - '000833007200002' file: - access_level: open_access checksum: b398c4dbf65f71d417981d6e366427e9 content_type: application/pdf creator: dernst date_created: 2022-08-08T07:36:34Z date_updated: 2022-08-08T07:36:34Z file_id: '11746' file_name: 2022_JourStatisticalPhysics_Henheik.pdf file_size: 419563 relation: main_file success: 1 file_date_updated: 2022-08-08T07:36:34Z fulldoi: https://doi.org/10.1007/s10955-022-02965-9 has_accepted_license: '1' intvolume: ' 189' isi: 1 keyword: - Mathematical Physics - Statistical and Nonlinear Physics language: - iso: eng license: https://creativecommons.org/licenses/by/4.0/ month: '07' oa: 1 oa_version: Published Version project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Journal of Statistical Physics publication_identifier: eissn: - 1572-9613 issn: - 0022-4715 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '18135' relation: dissertation_contains status: public - id: '19540' relation: dissertation_contains status: public scopus_import: '1' status: public title: The BCS energy gap at high density tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 189 year: '2022' ... --- _id: '10642' abstract: - lang: eng text: Based on a result by Yarotsky (J Stat Phys 118, 2005), we prove that localized but otherwise arbitrary perturbations of weakly interacting quantum spin systems with uniformly gapped on-site terms change the ground state of such a system only locally, even if they close the spectral gap. We call this a strong version of the local perturbations perturb locally (LPPL) principle which is known to hold for much more general gapped systems, but only for perturbations that do not close the spectral gap of the Hamiltonian. We also extend this strong LPPL-principle to Hamiltonians that have the appropriate structure of gapped on-site terms and weak interactions only locally in some region of space. While our results are technically corollaries to a theorem of Yarotsky, we expect that the paradigm of systems with a locally gapped ground state that is completely insensitive to the form of the Hamiltonian elsewhere extends to other situations and has important physical consequences. acknowledgement: J. H. acknowledges partial financial support by the ERC Advanced Grant “RMTBeyond” No. 101020331. S. T. thanks Marius Lemm and Simone Warzel for very helpful comments and discussions and Jürg Fröhlich for references to the literature. Open Access funding enabled and organized by Projekt DEAL. article_number: '9' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X - first_name: Stefan full_name: Teufel, Stefan last_name: Teufel - first_name: Tom full_name: Wessel, Tom last_name: Wessel citation: ama: Henheik SJ, Teufel S, Wessel T. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 2022;112(1). doi:10.1007/s11005-021-01494-y apa: Henheik, S. J., Teufel, S., & Wessel, T. (2022). Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. Springer Nature. https://doi.org/10.1007/s11005-021-01494-y chicago: Henheik, Sven Joscha, Stefan Teufel, and Tom Wessel. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics. Springer Nature, 2022. https://doi.org/10.1007/s11005-021-01494-y. ieee: S. J. Henheik, S. Teufel, and T. Wessel, “Local stability of ground states in locally gapped and weakly interacting quantum spin systems,” Letters in Mathematical Physics, vol. 112, no. 1. Springer Nature, 2022. ista: Henheik SJ, Teufel S, Wessel T. 2022. Local stability of ground states in locally gapped and weakly interacting quantum spin systems. Letters in Mathematical Physics. 112(1), 9. mla: Henheik, Sven Joscha, et al. “Local Stability of Ground States in Locally Gapped and Weakly Interacting Quantum Spin Systems.” Letters in Mathematical Physics, vol. 112, no. 1, 9, Springer Nature, 2022, doi:10.1007/s11005-021-01494-y. short: S.J. Henheik, S. Teufel, T. Wessel, Letters in Mathematical Physics 112 (2022). date_created: 2022-01-18T16:18:25Z date_published: 2022-01-18T00:00:00Z date_updated: 2026-07-29T13:18:16Z day: '18' ddc: - '530' department: - _id: GradSch - _id: LaEr doi: 10.1007/s11005-021-01494-y ec_funded: 1 external_id: arxiv: - '2106.13780' isi: - '000744930400001' pmid: - '35125630' file: - access_level: open_access checksum: 7e8e69b76e892c305071a4736131fe18 content_type: application/pdf creator: cchlebak date_created: 2022-01-19T09:41:14Z date_updated: 2022-01-19T09:41:14Z file_id: '10647' file_name: 2022_LettersMathPhys_Henheik.pdf file_size: 357547 relation: main_file success: 1 file_date_updated: 2022-01-19T09:41:14Z fulldoi: https://doi.org/10.1007/s11005-021-01494-y has_accepted_license: '1' intvolume: ' 112' isi: 1 issue: '1' keyword: - mathematical physics - statistical and nonlinear physics language: - iso: eng month: '01' oa: 1 oa_version: Published Version pmid: 1 project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Letters in Mathematical Physics publication_identifier: eissn: - 1573-0530 issn: - 0377-9017 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '19540' relation: dissertation_contains status: public scopus_import: '1' status: public title: Local stability of ground states in locally gapped and weakly interacting quantum spin systems tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 112 year: '2022' ... --- _id: '10623' abstract: - lang: eng text: We investigate the BCS critical temperature Tc in the high-density limit and derive an asymptotic formula, which strongly depends on the behavior of the interaction potential V on the Fermi-surface. Our results include a rigorous confirmation for the behavior of Tc at high densities proposed by Langmann et al. (Phys Rev Lett 122:157001, 2019) and identify precise conditions under which superconducting domes arise in BCS theory. acknowledgement: I am very grateful to Robert Seiringer for his guidance during this project and for many valuable comments on an earlier version of the manuscript. Moreover, I would like to thank Asbjørn Bækgaard Lauritsen for many helpful discussions and comments, pointing out the reference [22] and for his involvement in a closely related joint project [13]. Finally, I am grateful to Christian Hainzl for valuable comments on an earlier version of the manuscript and Andreas Deuchert for interesting discussions. article_number: '3' article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X citation: ama: Henheik SJ. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 2022;25(1). doi:10.1007/s11040-021-09415-0 apa: Henheik, S. J. (2022). The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. Springer Nature. https://doi.org/10.1007/s11040-021-09415-0 chicago: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” Mathematical Physics, Analysis and Geometry. Springer Nature, 2022. https://doi.org/10.1007/s11040-021-09415-0. ieee: S. J. Henheik, “The BCS critical temperature at high density,” Mathematical Physics, Analysis and Geometry, vol. 25, no. 1. Springer Nature, 2022. ista: Henheik SJ. 2022. The BCS critical temperature at high density. Mathematical Physics, Analysis and Geometry. 25(1), 3. mla: Henheik, Sven Joscha. “The BCS Critical Temperature at High Density.” Mathematical Physics, Analysis and Geometry, vol. 25, no. 1, 3, Springer Nature, 2022, doi:10.1007/s11040-021-09415-0. short: S.J. Henheik, Mathematical Physics, Analysis and Geometry 25 (2022). corr_author: '1' date_created: 2022-01-13T15:40:53Z date_published: 2022-01-11T00:00:00Z date_updated: 2026-07-29T13:18:16Z day: '11' ddc: - '514' department: - _id: GradSch - _id: LaEr doi: 10.1007/s11040-021-09415-0 ec_funded: 1 external_id: arxiv: - '2106.02015' isi: - '000741387600001' file: - access_level: open_access checksum: d44f8123a52592a75b2c3b8ee2cd2435 content_type: application/pdf creator: cchlebak date_created: 2022-01-14T07:27:45Z date_updated: 2022-01-14T07:27:45Z file_id: '10624' file_name: 2022_MathPhyAnalGeo_Henheik.pdf file_size: 505804 relation: main_file success: 1 file_date_updated: 2022-01-14T07:27:45Z fulldoi: https://doi.org/10.1007/s11040-021-09415-0 has_accepted_license: '1' intvolume: ' 25' isi: 1 issue: '1' keyword: - geometry and topology - mathematical physics language: - iso: eng month: '01' oa: 1 oa_version: Published Version project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta - _id: B67AFEDC-15C9-11EA-A837-991A96BB2854 name: IST Austria Open Access Fund publication: Mathematical Physics, Analysis and Geometry publication_identifier: eissn: - 1572-9656 issn: - 1385-0172 publication_status: published publisher: Springer Nature quality_controlled: '1' related_material: record: - id: '19540' relation: dissertation_contains status: public scopus_import: '1' status: public title: The BCS critical temperature at high density tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 25 year: '2022' ... --- _id: '12184' abstract: - lang: eng text: We review recent results on adiabatic theory for ground states of extended gapped fermionic lattice systems under several different assumptions. More precisely, we present generalized super-adiabatic theorems for extended but finite and infinite systems, assuming either a uniform gap or a gap in the bulk above the unperturbed ground state. The goal of this Review is to provide an overview of these adiabatic theorems and briefly outline the main ideas and techniques required in their proofs. acknowledgement: "It is a pleasure to thank Stefan Teufel for numerous interesting discussions, fruitful collaboration, and many helpful comments on an earlier version of the manuscript. J.H. acknowledges partial financial support from the ERC Advanced Grant No. 101020331 “Random\r\nmatrices beyond Wigner-Dyson-Mehta.” T.W. acknowledges financial support from the DFG research unit FOR 5413 “Long-range interacting quantum spin systems out of equilibrium: Experiment, Theory and Mathematics.\" " article_number: '121101' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Sven Joscha full_name: Henheik, Sven Joscha id: 31d731d7-d235-11ea-ad11-b50331c8d7fb last_name: Henheik orcid: 0000-0003-1106-327X - first_name: Tom full_name: Wessel, Tom last_name: Wessel citation: ama: Henheik SJ, Wessel T. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 2022;63(12). doi:10.1063/5.0123441 apa: Henheik, S. J., & Wessel, T. (2022). On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. AIP Publishing. https://doi.org/10.1063/5.0123441 chicago: Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” Journal of Mathematical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0123441. ieee: S. J. Henheik and T. Wessel, “On adiabatic theory for extended fermionic lattice systems,” Journal of Mathematical Physics, vol. 63, no. 12. AIP Publishing, 2022. ista: Henheik SJ, Wessel T. 2022. On adiabatic theory for extended fermionic lattice systems. Journal of Mathematical Physics. 63(12), 121101. mla: Henheik, Sven Joscha, and Tom Wessel. “On Adiabatic Theory for Extended Fermionic Lattice Systems.” Journal of Mathematical Physics, vol. 63, no. 12, 121101, AIP Publishing, 2022, doi:10.1063/5.0123441. short: S.J. Henheik, T. Wessel, Journal of Mathematical Physics 63 (2022). corr_author: '1' date_created: 2023-01-15T23:00:52Z date_published: 2022-12-01T00:00:00Z date_updated: 2026-07-29T13:18:16Z day: '01' ddc: - '510' department: - _id: LaEr doi: 10.1063/5.0123441 ec_funded: 1 external_id: arxiv: - '2208.12220' isi: - '000905776200001' file: - access_level: open_access checksum: 213b93750080460718c050e4967cfdb4 content_type: application/pdf creator: dernst date_created: 2023-01-27T07:10:52Z date_updated: 2023-01-27T07:10:52Z file_id: '12410' file_name: 2022_JourMathPhysics_Henheik2.pdf file_size: 5251092 relation: main_file success: 1 file_date_updated: 2023-01-27T07:10:52Z fulldoi: https://doi.org/10.1063/5.0123441 has_accepted_license: '1' intvolume: ' 63' isi: 1 issue: '12' language: - iso: eng month: '12' oa: 1 oa_version: Published Version project: - _id: 62796744-2b32-11ec-9570-940b20777f1d call_identifier: H2020 grant_number: '101020331' name: Random matrices beyond Wigner-Dyson-Mehta publication: Journal of Mathematical Physics publication_identifier: issn: - 0022-2488 publication_status: published publisher: AIP Publishing quality_controlled: '1' related_material: record: - id: '19540' relation: dissertation_contains status: public scopus_import: '1' status: public title: On adiabatic theory for extended fermionic lattice systems tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8 volume: 63 year: '2022' ... --- _id: '17087' abstract: - lang: eng text: We consider the problem of model compression for deep neural networks (DNNs) in the challenging one-shot/post-training setting, in which we are given an accurate trained model, and must compress it without any retraining, based only on a small amount of calibration input data. This problem has become popular in view of the emerging software and hardware support for executing models compressed via pruning and/or quantization with speedup, and well-performing solutions have been proposed independently for both compression approaches.In this paper, we introduce a new compression framework which covers both weight pruning and quantization in a unified setting, is time- and space-efficient, and considerably improves upon the practical performance of existing post-training methods. At the technical level, our approach is based on an exact and efficient realization of the classical Optimal Brain Surgeon (OBS) framework of [LeCun, Denker, and Solla, 1990] extended to also cover weight quantization at the scale of modern DNNs. From the practical perspective, our experimental results show that it can improve significantly upon the compression-accuracy trade-offs of existing post-training methods, and that it can enable the accurate compound application of both pruning and quantization in a post-training setting. acknowledgement: 'We gratefully acknowledge funding from the European Research Council (ERC) under the European Union’s Horizon 2020 programme (grant agreement No 805223 ScaleML), as well as computational support from AWS EC2. We thank Eldar Kurtic for providing us BERT code and pretrained models, and the Neural Magic Team, notably Michael Goin and Mark Kurtz, for support with their software. ' alternative_title: - NeurIPS article_processing_charge: No arxiv: 1 author: - first_name: Elias full_name: Frantar, Elias id: 09a8f98d-ec99-11ea-ae11-c063a7b7fe5f last_name: Frantar - first_name: Sidak Pal full_name: Singh, Sidak Pal id: DD138E24-D89D-11E9-9DC0-DEF6E5697425 last_name: Singh - first_name: Dan-Adrian full_name: Alistarh, Dan-Adrian id: 4A899BFC-F248-11E8-B48F-1D18A9856A87 last_name: Alistarh orcid: 0000-0003-3650-940X citation: ama: 'Frantar E, Singh SP, Alistarh D-A. Optimal brain compression: A framework for accurate post-training quantization and pruning. In: 36th Conference on Neural Information Processing Systems. Vol 35. ML Research Press; 2022.' apa: 'Frantar, E., Singh, S. P., & Alistarh, D.-A. (2022). Optimal brain compression: A framework for accurate post-training quantization and pruning. In 36th Conference on Neural Information Processing Systems (Vol. 35). New Orleans, LA, United States: ML Research Press.' chicago: 'Frantar, Elias, Sidak Pal Singh, and Dan-Adrian Alistarh. “Optimal Brain Compression: A Framework for Accurate Post-Training Quantization and Pruning.” In 36th Conference on Neural Information Processing Systems, Vol. 35. ML Research Press, 2022.' ieee: 'E. Frantar, S. P. Singh, and D.-A. Alistarh, “Optimal brain compression: A framework for accurate post-training quantization and pruning,” in 36th Conference on Neural Information Processing Systems, New Orleans, LA, United States, 2022, vol. 35.' ista: 'Frantar E, Singh SP, Alistarh D-A. 2022. Optimal brain compression: A framework for accurate post-training quantization and pruning. 36th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, NeurIPS, vol. 35.' mla: 'Frantar, Elias, et al. “Optimal Brain Compression: A Framework for Accurate Post-Training Quantization and Pruning.” 36th Conference on Neural Information Processing Systems, vol. 35, ML Research Press, 2022.' short: E. Frantar, S.P. Singh, D.-A. Alistarh, in:, 36th Conference on Neural Information Processing Systems, ML Research Press, 2022. conference: end_date: 2022-12-09 location: New Orleans, LA, United States name: 'NeurIPS: Neural Information Processing Systems' start_date: 2022-11-28 corr_author: '1' date_created: 2024-05-29T06:38:26Z date_published: 2022-12-01T00:00:00Z date_updated: 2026-07-29T13:48:39Z day: '01' ddc: - '000' department: - _id: DaAl ec_funded: 1 external_id: arxiv: - '2208.11580' file: - access_level: open_access checksum: 38e7d75f578e8d2e207c81895e09f211 content_type: application/pdf creator: dernst date_created: 2024-08-05T09:25:39Z date_updated: 2024-08-05T09:25:39Z file_id: '17391' file_name: 2022_NeurIPS_Frantar.pdf file_size: 491843 relation: main_file success: 1 file_date_updated: 2024-08-05T09:25:39Z has_accepted_license: '1' intvolume: ' 35' language: - iso: eng month: '12' oa: 1 oa_version: Submitted Version project: - _id: 268A44D6-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '805223' name: Elastic Coordination for Scalable Machine Learning publication: 36th Conference on Neural Information Processing Systems publication_identifier: isbn: - '9781713871088' publication_status: published publisher: ML Research Press quality_controlled: '1' related_material: record: - id: '17485' relation: dissertation_contains status: public scopus_import: '1' status: public title: 'Optimal brain compression: A framework for accurate post-training quantization and pruning' type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 35 year: '2022' ... --- _id: '12286' abstract: - lang: eng text: "Inspired by the study of loose cycles in hypergraphs, we define the loose core in hypergraphs as a structurewhich mirrors the close relationship between cycles and $2$-cores in graphs. We prove that in the $r$-uniform binomial random hypergraph $H^r(n,p)$, the order of the loose core undergoes a phase transition at a certain critical threshold and determine this order, as well as the number of edges, asymptotically in the subcritical and supercritical regimes. \r\nOur main tool is an algorithm called CoreConstruct, which enables us to analyse a peeling process for the loose core. By analysing this algorithm we determine the asymptotic degree distribution of vertices in the loose core and in particular how many vertices and edges the loose core contains. As a corollary we obtain an improved upper bound on the length of the longest loose cycle in $H^r(n,p)$." acknowledgement: 'Supported by Austrian Science Fund (FWF): I3747, W1230.' article_number: P4.13 article_processing_charge: No article_type: original author: - first_name: Oliver full_name: Cooley, Oliver id: 43f4ddd0-a46b-11ec-8df6-ef3703bd721d last_name: Cooley - first_name: Mihyun full_name: Kang, Mihyun last_name: Kang - first_name: Julian full_name: Zalla, Julian last_name: Zalla citation: ama: Cooley O, Kang M, Zalla J. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 2022;29(4). doi:10.37236/10794 apa: Cooley, O., Kang, M., & Zalla, J. (2022). Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. Electronic Journal of Combinatorics. https://doi.org/10.37236/10794 chicago: Cooley, Oliver, Mihyun Kang, and Julian Zalla. “Loose Cores and Cycles in Random Hypergraphs.” The Electronic Journal of Combinatorics. Electronic Journal of Combinatorics, 2022. https://doi.org/10.37236/10794. ieee: O. Cooley, M. Kang, and J. Zalla, “Loose cores and cycles in random hypergraphs,” The Electronic Journal of Combinatorics, vol. 29, no. 4. Electronic Journal of Combinatorics, 2022. ista: Cooley O, Kang M, Zalla J. 2022. Loose cores and cycles in random hypergraphs. The Electronic Journal of Combinatorics. 29(4), P4.13. mla: Cooley, Oliver, et al. “Loose Cores and Cycles in Random Hypergraphs.” The Electronic Journal of Combinatorics, vol. 29, no. 4, P4.13, Electronic Journal of Combinatorics, 2022, doi:10.37236/10794. short: O. Cooley, M. Kang, J. Zalla, The Electronic Journal of Combinatorics 29 (2022). date_created: 2023-01-16T10:03:57Z date_published: 2022-10-21T00:00:00Z date_updated: 2026-08-04T09:29:03Z day: '21' ddc: - '510' department: - _id: MaKw doi: 10.37236/10794 external_id: isi: - '000876763300001' file: - access_level: open_access checksum: 00122b2459f09b5ae43073bfba565e94 content_type: application/pdf creator: dernst date_created: 2023-01-30T11:45:13Z date_updated: 2023-01-30T11:45:13Z file_id: '12462' file_name: 2022_ElecJournCombinatorics_Cooley_Kang_Zalla.pdf file_size: 626953 relation: main_file success: 1 file_date_updated: 2023-01-30T11:45:13Z fulldoi: https://doi.org/10.37236/10794 has_accepted_license: '1' intvolume: ' 29' isi: 1 issue: '4' keyword: - Computational Theory and Mathematics - Geometry and Topology - Theoretical Computer Science - Applied Mathematics - Discrete Mathematics and Combinatorics language: - iso: eng license: https://creativecommons.org/licenses/by-nd/4.0/ month: '10' oa: 1 oa_version: Published Version publication: The Electronic Journal of Combinatorics publication_identifier: eissn: - 1077-8926 publication_status: published publisher: Electronic Journal of Combinatorics quality_controlled: '1' scopus_import: '1' status: public title: Loose cores and cycles in random hypergraphs tmp: image: /image/cc_by_nd.png legal_code_url: https://creativecommons.org/licenses/by-nd/4.0/legalcode name: Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0) short: CC BY-ND (4.0) type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 29 year: '2022' ... --- _id: '10788' abstract: - lang: eng text: "We determine an asymptotic formula for the number of integral points of\r\nbounded height on a certain toric variety, which is incompatible with part of a\r\npreprint by Chambert-Loir and Tschinkel. We provide an alternative\r\ninterpretation of the asymptotic formula we get. To do so, we construct an\r\nanalogue of Peyre's constant $\\alpha$ and describe its relation to a new\r\nobstruction to the Zariski density of integral points in certain regions of\r\nvarieties." acknowledgement: "Part of this work was conducted as a guest at the Institut de Mathématiques de Jussieu–Paris Rive Gauche invited by Antoine Chambert-Loir and funded by DAAD.\r\nDuring this time, I had interesting and fruitful discussions on the interpretation of the result for\r\nthe toric variety discussed in Section 3 with Antoine Chambert-Loir. I wish to thank him for these\r\nopportunities and for his useful remarks on earlier versions of this article. This work was partly\r\nfunded by FWF grant P 32428-N35." article_number: '2202.10909' article_processing_charge: No arxiv: 1 author: - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv. doi:10.48550/arXiv.2202.10909 apa: Wilsch, F. A. (n.d.). Integral points of bounded height on a certain toric variety. arXiv. https://doi.org/10.48550/arXiv.2202.10909 chicago: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, n.d. https://doi.org/10.48550/arXiv.2202.10909. ieee: F. A. Wilsch, “Integral points of bounded height on a certain toric variety,” arXiv. . ista: Wilsch FA. Integral points of bounded height on a certain toric variety. arXiv, 2202.10909. mla: Wilsch, Florian Alexander. “Integral Points of Bounded Height on a Certain Toric Variety.” ArXiv, 2202.10909, doi:10.48550/arXiv.2202.10909. short: F.A. Wilsch, ArXiv (n.d.). corr_author: '1' das_tickbox: '0' date_created: 2022-02-23T09:04:43Z date_published: 2022-02-22T00:00:00Z date_updated: 2026-08-06T10:31:31Z day: '22' department: - _id: TiBr doi: 10.48550/arXiv.2202.10909 external_id: arxiv: - '2202.10909' fulldoi: https://doi.org/10.48550/arXiv.2202.10909 keyword: - Integral point - toric variety - Manin's conjecture language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2202.10909 month: '02' oa: 1 oa_version: Preprint project: - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: arXiv publication_status: submitted researchdata_availability: no status: public supplementarymaterial: no title: Integral points of bounded height on a certain toric variety type: preprint user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2022' ... --- OA_place: repository _id: '18293' abstract: - lang: eng text: Given a non-singular diagonal cubic hypersurface X⊂Pn−1 over Fq(t) with char(Fq)≠3, we show that the number of rational points of height at most |P| is O(|P|3+ε) for n=6 and O(|P|2+ε) for n=4. In fact, if n=4 and char(Fq)>3 we prove that the number of rational points away from any rational line contained in X is bounded by O(|P|3/2+ε). From the result in 6 variables we deduce weak approximation for diagonal cubic hypersurfaces for n≥7 over Fq(t) when char(Fq)>3 and handle Waring's problem for cubes in 7 variables over Fq(t) when char(Fq)≠3. Our results answer a question of Davenport regarding the number of solutions of bounded height to x31+x32+x33=x34+x35+x36 with xi∈Fq[t]. article_number: '2208.05422' article_processing_charge: No arxiv: 1 author: - first_name: Jakob full_name: Glas, Jakob id: d6423cba-dc74-11ea-a0a7-ee61689ff5fb last_name: Glas - first_name: Leonhard full_name: Hochfilzer, Leonhard last_name: Hochfilzer citation: ama: Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms over Fq(t). arXiv. doi:10.48550/arXiv.2208.05422 apa: Glas, J., & Hochfilzer, L. (n.d.). On a question of Davenport and diagonal cubic forms over Fq(t). arXiv. https://doi.org/10.48550/arXiv.2208.05422 chicago: Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” ArXiv, n.d. https://doi.org/10.48550/arXiv.2208.05422. ieee: J. Glas and L. Hochfilzer, “On a question of Davenport and diagonal cubic forms over Fq(t),” arXiv. . ista: Glas J, Hochfilzer L. On a question of Davenport and diagonal cubic forms over Fq(t). arXiv, 2208.05422. mla: Glas, Jakob, and Leonhard Hochfilzer. “On a Question of Davenport and Diagonal Cubic Forms over Fq(T).” ArXiv, 2208.05422, doi:10.48550/arXiv.2208.05422. short: J. Glas, L. Hochfilzer, ArXiv (n.d.). corr_author: '1' das_tickbox: '0' date_created: 2024-10-10T12:46:41Z date_published: 2022-08-10T00:00:00Z date_updated: 2026-08-06T10:33:33Z day: '10' department: - _id: TiBr doi: 10.48550/arXiv.2208.05422 external_id: arxiv: - '2208.05422' fulldoi: https://doi.org/10.48550/arXiv.2208.05422 language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2208.05422 month: '08' oa: 1 oa_version: Preprint publication: arXiv publication_status: draft related_material: record: - id: '18705' relation: later_version status: public - id: '18132' relation: dissertation_contains status: public researchdata_availability: no status: public supplementarymaterial: no title: On a question of Davenport and diagonal cubic forms over Fq(t) type: preprint user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2022' ... --- OA_place: publisher _id: '12072' abstract: - lang: eng text: "In this thesis, we study two of the most important questions in Arithmetic geometry: that of the existence and density of solutions to Diophantine equations. In order for a Diophantine equation to have any solutions over the rational numbers, it must have solutions everywhere locally, i.e., over R and over Qp for every prime p. The converse, called the Hasse principle, is known to fail in general. However, it is still a central question in Arithmetic geometry to determine for which varieties the Hasse principle does hold. In this work, we establish the Hasse principle for a wide new family of varieties of the form f(t) = NK/Q(x) ̸= 0, where f is a polynomial with integer coefficients and NK/Q denotes the norm\r\nform associated to a number field K. Our results cover products of arbitrarily many linear, quadratic or cubic factors, and generalise an argument of Irving [69], which makes use of the beta sieve of Rosser and Iwaniec. We also demonstrate how our main sieve results can be applied to treat new cases of a conjecture of Harpaz and Wittenberg on locally split values of polynomials over number fields, and discuss consequences for rational points in fibrations.\r\nIn the second question, about the density of solutions, one defines a height function and seeks to estimate asymptotically the number of points of height bounded by B as B → ∞. Traditionally, one either counts rational points, or\r\nintegral points with respect to a suitable model. However, in this thesis, we study an emerging area of interest in Arithmetic geometry known as Campana points, which in some sense interpolate between rational and integral points.\r\nMore precisely, we count the number of nonzero integers z1, z2, z3 such that gcd(z1, z2, z3) = 1, and z1, z2, z3, z1 + z2 + z3 are all squareful and bounded by B. Using the circle method, we obtain an asymptotic formula which agrees in\r\nthe power of B and log B with a bold new generalisation of Manin’s conjecture to the setting of Campana points, recently formulated by Pieropan, Smeets, Tanimoto and Várilly-Alvarado [96]. However, in this thesis we also provide the first known counterexamples to leading constant predicted by their conjecture. " acknowledgement: I acknowledge the received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Sklodowska Curie Grant Agreement No. 665385. alternative_title: - ISTA Thesis article_processing_charge: No author: - first_name: Alec L full_name: Shute, Alec L id: 440EB050-F248-11E8-B48F-1D18A9856A87 last_name: Shute orcid: 0000-0002-1812-2810 citation: ama: 'Shute AL. Existence and density problems in Diophantine geometry: From norm forms to Campana points. 2022. doi:10.15479/at:ista:12072' apa: 'Shute, A. L. (2022). Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria. https://doi.org/10.15479/at:ista:12072' chicago: 'Shute, Alec L. “Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points.” Institute of Science and Technology Austria, 2022. https://doi.org/10.15479/at:ista:12072.' ieee: 'A. L. Shute, “Existence and density problems in Diophantine geometry: From norm forms to Campana points,” Institute of Science and Technology Austria, 2022.' ista: 'Shute AL. 2022. Existence and density problems in Diophantine geometry: From norm forms to Campana points. Institute of Science and Technology Austria.' mla: 'Shute, Alec L. Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points. Institute of Science and Technology Austria, 2022, doi:10.15479/at:ista:12072.' short: 'A.L. Shute, Existence and Density Problems in Diophantine Geometry: From Norm Forms to Campana Points, Institute of Science and Technology Austria, 2022.' corr_author: '1' das_tickbox: '0' date_created: 2022-09-08T21:53:03Z date_published: 2022-09-08T00:00:00Z date_updated: 2026-08-06T11:09:27Z day: '08' ddc: - '512' degree_awarded: PhD department: - _id: GradSch - _id: TiBr doi: 10.15479/at:ista:12072 doi_confirm: '1' ec_funded: 1 file: - access_level: open_access checksum: bf073344320e05d92c224786cec2e92d content_type: application/pdf creator: ashute date_created: 2022-09-08T21:50:34Z date_updated: 2022-09-08T21:50:34Z file_id: '12073' file_name: Thesis_final_draft.pdf file_size: 1907386 relation: main_file success: 1 - access_level: closed checksum: b054ac6baa09f70e8235403a4abbed80 content_type: application/octet-stream creator: ashute date_created: 2022-09-08T21:50:42Z date_updated: 2022-09-12T11:24:21Z file_id: '12074' file_name: athesis.tex file_size: 495393 relation: source_file - access_level: closed checksum: 0a31e905f1cff5eb8110978cc90e1e79 content_type: application/x-zip-compressed creator: ashute date_created: 2022-09-09T12:05:00Z date_updated: 2022-09-12T11:24:21Z file_id: '12078' file_name: qfcjsfmtvtbfrjjvhdzrnqxfvgjvxtbf.zip file_size: 944534 relation: source_file file_date_updated: 2022-09-12T11:24:21Z fulldoi: https://doi.org/10.15479/at:ista:12072 has_accepted_license: '1' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-sa/4.0/ month: '09' oa: 1 oa_version: Published Version page: '208' project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication_identifier: isbn: - 978-3-99078-023-7 issn: - 2663-337X publication_status: published publisher: Institute of Science and Technology Austria related_material: record: - id: '12076' relation: part_of_dissertation status: public - id: '12077' relation: part_of_dissertation status: public researchdata_availability: no status: public supervisor: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 supplementarymaterial: no title: 'Existence and density problems in Diophantine geometry: From norm forms to Campana points' tmp: image: /images/cc_by_nc_sa.png legal_code_url: https://creativecommons.org/licenses/by-nc-sa/4.0/legalcode name: Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) short: CC BY-NC-SA (4.0) type: dissertation user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 year: '2022' ... --- _id: '9364' abstract: - lang: eng text: 'Let t : Fp → C be a complex valued function on Fp. A classical problem in analytic number theory is bounding the maximum M(t) := max 0≤H

0 there exists a large subset of a ∈ F×p such that for kl a,1,p : x → e((ax+x) / p) we have M(kla,1,p) ≥ (1−ε/√2π + o(1)) log log p, as p→∞. Finally, we prove a result on the growth of the moments of {M (kla,1,p)}a∈F×p. 2020 Mathematics Subject Classification: 11L03, 11T23 (Primary); 14F20, 60F10 (Secondary).' acknowledgement: I am most thankful to my advisor, Emmanuel Kowalski, for suggesting this problem and for his guidance during these years. I also would like to thank Youness Lamzouri for informing me about his work on sum of incomplete Birch sums and Tal Horesh for her suggestions on a previous version of the paper. Finally, I am very grateful to the anonymous referee for their careful reading of the manuscript and their valuable comments. article_processing_charge: Yes (via OA deal) article_type: original arxiv: 1 author: - first_name: Dante full_name: Bonolis, Dante id: 6A459894-5FDD-11E9-AF35-BB24E6697425 last_name: Bonolis citation: ama: Bonolis D. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 2022;172(3):563-590. doi:10.1017/S030500412100030X apa: Bonolis, D. (2022). On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press. https://doi.org/10.1017/S030500412100030X chicago: Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 2022. https://doi.org/10.1017/S030500412100030X. ieee: D. Bonolis, “On the size of the maximum of incomplete Kloosterman sums,” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3. Cambridge University Press, pp. 563–590, 2022. ista: Bonolis D. 2022. On the size of the maximum of incomplete Kloosterman sums. Mathematical Proceedings of the Cambridge Philosophical Society. 172(3), 563–590. mla: Bonolis, Dante. “On the Size of the Maximum of Incomplete Kloosterman Sums.” Mathematical Proceedings of the Cambridge Philosophical Society, vol. 172, no. 3, Cambridge University Press, 2022, pp. 563–90, doi:10.1017/S030500412100030X. short: D. Bonolis, Mathematical Proceedings of the Cambridge Philosophical Society 172 (2022) 563–590. das_tickbox: '0' date_created: 2021-05-02T22:01:29Z date_published: 2022-05-01T00:00:00Z date_updated: 2026-08-06T11:08:12Z day: '01' ddc: - '510' department: - _id: TiBr doi: 10.1017/S030500412100030X external_id: arxiv: - '1811.10563' isi: - '000784421500001' file: - access_level: open_access checksum: 614d2e9b83a78100408e4ee7752a80a8 content_type: application/pdf creator: cchlebak date_created: 2021-12-01T14:01:54Z date_updated: 2021-12-01T14:01:54Z file_id: '10395' file_name: 2021_MathProcCamPhilSoc_Bonolis.pdf file_size: 334064 relation: main_file success: 1 file_date_updated: 2021-12-01T14:01:54Z fulldoi: https://doi.org/10.1017/S030500412100030X has_accepted_license: '1' intvolume: ' 172' isi: 1 issue: '3' language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: 563 - 590 publication: Mathematical Proceedings of the Cambridge Philosophical Society publication_identifier: eissn: - 1469-8064 issn: - 0305-0041 publication_status: published publisher: Cambridge University Press quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: On the size of the maximum of incomplete Kloosterman sums tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 172 year: '2022' ... --- _id: '9199' abstract: - lang: eng text: "We associate a certain tensor product lattice to any primitive integer lattice and ask about its typical shape. These lattices are related to the tangent bundle of Grassmannians and their study is motivated by Peyre's programme on \"freeness\" for rational points of bounded height on Fano\r\nvarieties." acknowledgement: The authors are very grateful to Will Sawin for useful remarks about this topic. While working on this paper the first two authors were supported by EPSRC grant EP/P026710/1, and the first and last authors by FWF grant P 32428-N35. article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Timothy D full_name: Browning, Timothy D id: 35827D50-F248-11E8-B48F-1D18A9856A87 last_name: Browning orcid: 0000-0002-8314-0177 - first_name: Tal full_name: Horesh, Tal id: C8B7BF48-8D81-11E9-BCA9-F536E6697425 last_name: Horesh - first_name: Florian Alexander full_name: Wilsch, Florian Alexander id: 560601DA-8D36-11E9-A136-7AC1E5697425 last_name: Wilsch orcid: 0000-0001-7302-8256 citation: ama: Browning TD, Horesh T, Wilsch FA. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 2022;16(10):2385-2407. doi:10.2140/ant.2022.16.2385 apa: Browning, T. D., Horesh, T., & Wilsch, F. A. (2022). Equidistribution and freeness on Grassmannians. Algebra & Number Theory. Mathematical Sciences Publishers. https://doi.org/10.2140/ant.2022.16.2385 chicago: Browning, Timothy D, Tal Horesh, and Florian Alexander Wilsch. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory. Mathematical Sciences Publishers, 2022. https://doi.org/10.2140/ant.2022.16.2385. ieee: T. D. Browning, T. Horesh, and F. A. Wilsch, “Equidistribution and freeness on Grassmannians,” Algebra & Number Theory, vol. 16, no. 10. Mathematical Sciences Publishers, pp. 2385–2407, 2022. ista: Browning TD, Horesh T, Wilsch FA. 2022. Equidistribution and freeness on Grassmannians. Algebra & Number Theory. 16(10), 2385–2407. mla: Browning, Timothy D., et al. “Equidistribution and Freeness on Grassmannians.” Algebra & Number Theory, vol. 16, no. 10, Mathematical Sciences Publishers, 2022, pp. 2385–407, doi:10.2140/ant.2022.16.2385. short: T.D. Browning, T. Horesh, F.A. Wilsch, Algebra & Number Theory 16 (2022) 2385–2407. corr_author: '1' das_tickbox: '0' date_created: 2021-02-25T09:56:57Z date_published: 2022-12-01T00:00:00Z date_updated: 2026-08-06T11:07:27Z day: '01' department: - _id: TiBr doi: 10.2140/ant.2022.16.2385 external_id: arxiv: - '2102.11552' isi: - '000961514100004' fulldoi: https://doi.org/10.2140/ant.2022.16.2385 intvolume: ' 16' isi: 1 issue: '10' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2102.11552 month: '12' oa: 1 oa_version: Preprint page: 2385-2407 project: - _id: 26A8D266-B435-11E9-9278-68D0E5697425 grant_number: EP-P026710-2 name: Between rational and integral points - _id: 26AEDAB2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P32428 name: New frontiers of the Manin conjecture publication: Algebra & Number Theory publication_identifier: eissn: - 1944-7833 issn: - 1937-0652 publication_status: published publisher: Mathematical Sciences Publishers quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: no title: Equidistribution and freeness on Grassmannians type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 16 year: '2022' ... --- _id: '10827' abstract: - lang: eng text: Titanium dioxide has been extensively studied in the rutile or anatase phase, while its high-pressure phases are less well-understood, despite that many are thought to have interesting optical, mechanical, and electrochemical properties. First-principles methods, such as density functional theory (DFT), are often used to compute the enthalpies of TiO2 phases at 0 K, but they are expensive and, thus, impractical for long time scale and large system-size simulations at finite temperatures. On the other hand, cheap empirical potentials fail to capture the relative stabilities of various polymorphs. To model the thermodynamic behaviors of ambient and high-pressure phases of TiO2, we design an empirical model as a baseline and then train a machine learning potential based on the difference between the DFT data and the empirical model. This so-called Δ-learning potential contains long-range electrostatic interactions and predicts the 0 K enthalpies of stable TiO2 phases that are in good agreement with DFT. We construct a pressure–temperature phase diagram of TiO2 in the range 0 < P < 70 GPa and 100 < T < 1500 K. We then simulate dynamic phase transition processes by compressing anatase at different temperatures. At 300 K, we predominantly observe an anatase-to-baddeleyite transformation at about 20 GPa via a martensitic two-step mechanism with a highly ordered and collective atomic motion. At 2000 K, anatase can transform into cotunnite around 45–55 GPa in a thermally activated and probabilistic manner, accompanied by diffusive movement of oxygen atoms. The pressures computed for these transitions show good agreement with experiments. Our results shed light on how to synthesize and stabilize high-pressure TiO2 phases, and our method is generally applicable to other functional materials with multiple polymorphs. acknowledgement: J.G.L. and B.C. acknowledge the resources provided by the Cambridge Tier-2 system operated by the University of Cambridge Research Computing Service funded by the EPSRC Tier-2 capital (Grant No. EP/P020259/1). article_number: '074106' article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Jacob G. full_name: Lee, Jacob G. last_name: Lee - first_name: Chris J. full_name: Pickard, Chris J. last_name: Pickard - first_name: Bingqing full_name: Cheng, Bingqing id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9 last_name: Cheng orcid: 0000-0002-3584-9632 citation: ama: Lee JG, Pickard CJ, Cheng B. High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of chemical physics. 2022;156(7). doi:10.1063/5.0079844 apa: Lee, J. G., Pickard, C. J., & Cheng, B. (2022). High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/5.0079844 chicago: Lee, Jacob G., Chris J. Pickard, and Bingqing Cheng. “High-Pressure Phase Behaviors of Titanium Dioxide Revealed by a Δ-Learning Potential.” The Journal of Chemical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0079844. ieee: J. G. Lee, C. J. Pickard, and B. Cheng, “High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential,” The Journal of chemical physics, vol. 156, no. 7. AIP Publishing, 2022. ista: Lee JG, Pickard CJ, Cheng B. 2022. High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential. The Journal of chemical physics. 156(7), 074106. mla: Lee, Jacob G., et al. “High-Pressure Phase Behaviors of Titanium Dioxide Revealed by a Δ-Learning Potential.” The Journal of Chemical Physics, vol. 156, no. 7, 074106, AIP Publishing, 2022, doi:10.1063/5.0079844. short: J.G. Lee, C.J. Pickard, B. Cheng, The Journal of Chemical Physics 156 (2022). corr_author: '1' das_tickbox: '1' dataavailabilitystatement: All original data generated for the study and the Δ-learning potential for TiO2 constructed in this study are in the SI repository at https://github.com/jacobglee1/tio2-mlp. date_created: 2022-03-06T23:01:53Z date_published: 2022-02-16T00:00:00Z date_updated: 2026-08-07T11:17:03Z day: '16' department: - _id: BiCh doi: 10.1063/5.0079844 external_id: arxiv: - '2111.12968' isi: - '000796704500014' pmid: - '35183078' fulldoi: https://doi.org/10.1063/5.0079844 intvolume: ' 156' isi: 1 issue: '7' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/2111.12968 month: '02' oa: 1 oa_version: Preprint pmid: 1 publication: The Journal of chemical physics publication_identifier: eissn: - 1089-7690 publication_status: published publisher: AIP Publishing quality_controlled: '1' researchdata_availability: yes scopus_import: '1' status: public supplementarymaterial: yes title: High-pressure phase behaviors of titanium dioxide revealed by a Δ-learning potential type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 156 year: '2022' ... --- _id: '12128' abstract: - lang: eng text: We introduce a machine-learning (ML) framework for high-throughput benchmarking of diverse representations of chemical systems against datasets of materials and molecules. The guiding principle underlying the benchmarking approach is to evaluate raw descriptor performance by limiting model complexity to simple regression schemes while enforcing best ML practices, allowing for unbiased hyperparameter optimization, and assessing learning progress through learning curves along series of synchronized train-test splits. The resulting models are intended as baselines that can inform future method development, in addition to indicating how easily a given dataset can be learnt. Through a comparative analysis of the training outcome across a diverse set of physicochemical, topological and geometric representations, we glean insight into the relative merits of these representations as well as their interrelatedness. acknowledgement: 'C P acknowledges funding from Astex through the Sustaining Innovation Program under the Milner Consortium. B C acknowledges resources provided by the Cambridge Tier-2 system operated by the University of Cambridge Research Computing Service funded by EPSRC Tier-2 capital Grant EP/P020259/1. F A F acknowledges funding from the Swiss National Science Foundation (Grant No. P2BSP2_191736). ' article_number: '040501' article_processing_charge: No article_type: original author: - first_name: Carl full_name: Poelking, Carl last_name: Poelking - first_name: Felix A full_name: Faber, Felix A last_name: Faber - first_name: Bingqing full_name: Cheng, Bingqing id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9 last_name: Cheng orcid: 0000-0002-3584-9632 citation: ama: 'Poelking C, Faber FA, Cheng B. BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale. Machine Learning: Science and Technology. 2022;3(4). doi:10.1088/2632-2153/ac4d11' apa: 'Poelking, C., Faber, F. A., & Cheng, B. (2022). BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale. Machine Learning: Science and Technology. IOP Publishing. https://doi.org/10.1088/2632-2153/ac4d11' chicago: 'Poelking, Carl, Felix A Faber, and Bingqing Cheng. “BenchML: An Extensible Pipelining Framework for Benchmarking Representations of Materials and Molecules at Scale.” Machine Learning: Science and Technology. IOP Publishing, 2022. https://doi.org/10.1088/2632-2153/ac4d11.' ieee: 'C. Poelking, F. A. Faber, and B. Cheng, “BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale,” Machine Learning: Science and Technology, vol. 3, no. 4. IOP Publishing, 2022.' ista: 'Poelking C, Faber FA, Cheng B. 2022. BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale. Machine Learning: Science and Technology. 3(4), 040501.' mla: 'Poelking, Carl, et al. “BenchML: An Extensible Pipelining Framework for Benchmarking Representations of Materials and Molecules at Scale.” Machine Learning: Science and Technology, vol. 3, no. 4, 040501, IOP Publishing, 2022, doi:10.1088/2632-2153/ac4d11.' short: 'C. Poelking, F.A. Faber, B. Cheng, Machine Learning: Science and Technology 3 (2022).' corr_author: '1' das_tickbox: '1' dataavailabilitystatement: The datasets used for this study are available at https://github.com/BingqingCheng/linear-regression-benchmarks. All data that support the findings of this study are included within the article (and any supplementary files). date_created: 2023-01-12T12:02:21Z date_published: 2022-11-17T00:00:00Z date_updated: 2026-08-07T11:19:31Z day: '17' ddc: - '000' department: - _id: BiCh doi: 10.1088/2632-2153/ac4d11 external_id: isi: - '000886534000001' file: - access_level: open_access checksum: 8930d4ad6ed9b47358c6f1a68666adb6 content_type: application/pdf creator: dernst date_created: 2023-01-23T10:42:04Z date_updated: 2023-01-23T10:42:04Z file_id: '12343' file_name: 2022_MachLearning_Poelking.pdf file_size: 13814559 relation: main_file success: 1 file_date_updated: 2023-01-23T10:42:04Z fulldoi: https://doi.org/10.1088/2632-2153/ac4d11 has_accepted_license: '1' intvolume: ' 3' isi: 1 issue: '4' keyword: - Artificial Intelligence - Human-Computer Interaction - Software language: - iso: eng month: '11' oa: 1 oa_version: Published Version publication: 'Machine Learning: Science and Technology' publication_identifier: issn: - 2632-2153 publication_status: published publisher: IOP Publishing quality_controlled: '1' related_material: link: - relation: software url: https://github.com/capoe/benchml researchdata_availability: yes scopus_import: '1' status: public supplementarymaterial: yes title: 'BenchML: An extensible pipelining framework for benchmarking representations of materials and molecules at scale' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 3 year: '2022' ... --- _id: '12249' abstract: - lang: eng text: 'The chemical potential of a component in a solution is defined as the free energy change as the amount of that component changes. Computing this fundamental thermodynamic property from atomistic simulations is notoriously difficult because of the convergence issues involved in free energy methods and finite size effects. This Communication presents the so-called S0 method, which can be used to obtain chemical potentials from static structure factors computed from equilibrium molecular dynamics simulations under the isothermal–isobaric ensemble. This new method is demonstrated on the systems of binary Lennard-Jones particles, urea–water mixtures, a NaCl aqueous solution, and a high-pressure carbon–hydrogen mixture. ' acknowledgement: I thank Daan Frenkel for providing feedback on an early draft and for stimulating discussions, Debashish Mukherji and Robinson Cortes-Huerto for sharing the trajectories for urea–water mixtures, and Aleks Reinhardt for useful suggestions on the manuscript. article_number: '121101' article_processing_charge: No article_type: original author: - first_name: Bingqing full_name: Cheng, Bingqing id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9 last_name: Cheng orcid: 0000-0002-3584-9632 citation: ama: Cheng B. Computing chemical potentials of solutions from structure factors. The Journal of Chemical Physics. 2022;157(12). doi:10.1063/5.0107059 apa: Cheng, B. (2022). Computing chemical potentials of solutions from structure factors. The Journal of Chemical Physics. AIP Publishing. https://doi.org/10.1063/5.0107059 chicago: Cheng, Bingqing. “Computing Chemical Potentials of Solutions from Structure Factors.” The Journal of Chemical Physics. AIP Publishing, 2022. https://doi.org/10.1063/5.0107059. ieee: B. Cheng, “Computing chemical potentials of solutions from structure factors,” The Journal of Chemical Physics, vol. 157, no. 12. AIP Publishing, 2022. ista: Cheng B. 2022. Computing chemical potentials of solutions from structure factors. The Journal of Chemical Physics. 157(12), 121101. mla: Cheng, Bingqing. “Computing Chemical Potentials of Solutions from Structure Factors.” The Journal of Chemical Physics, vol. 157, no. 12, 121101, AIP Publishing, 2022, doi:10.1063/5.0107059. short: B. Cheng, The Journal of Chemical Physics 157 (2022). corr_author: '1' das_tickbox: '1' dataavailabilitystatement: "All PYTHON scripts and simulation input files generated for the study are in the SI repository https://github.com/BingqingCheng/S0, Ref. 29.\r\n29. B. Cheng, https://github.com/BingqingCheng/S0 “Data repository for the S0 method” (2020)." date_created: 2023-01-16T09:56:20Z date_published: 2022-09-30T00:00:00Z date_updated: 2026-08-07T11:22:29Z day: '30' ddc: - '530' - '540' department: - _id: BiCh doi: 10.1063/5.0107059 external_id: isi: - '000862856000003' pmid: - '36182422' file: - access_level: open_access checksum: b0915b706568a663a9a372fca24adf35 content_type: application/pdf creator: dernst date_created: 2023-01-30T09:07:00Z date_updated: 2023-01-30T09:07:00Z file_id: '12441' file_name: 2022_JourChemPhysics_Cheng.pdf file_size: 4402384 relation: main_file success: 1 file_date_updated: 2023-01-30T09:07:00Z fulldoi: https://doi.org/10.1063/5.0107059 has_accepted_license: '1' intvolume: ' 157' isi: 1 issue: '12' keyword: - Physical and Theoretical Chemistry - General Physics and Astronomy language: - iso: eng month: '09' oa: 1 oa_version: Published Version pmid: 1 publication: The Journal of Chemical Physics publication_identifier: eissn: - 1089-7690 issn: - 0021-9606 publication_status: published publisher: AIP Publishing quality_controlled: '1' related_material: link: - relation: software url: https://github.com/ BingqingCheng/S0 researchdata_availability: yes scopus_import: '1' status: public supplementarymaterial: yes title: Computing chemical potentials of solutions from structure factors tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 157 year: '2022' ... --- _id: '11937' abstract: - lang: eng text: Most experimentally known high-pressure ice phases have a body-centred cubic (bcc) oxygen lattice. Our large-scale molecular-dynamics simulations with a machine-learning potential indicate that, amongst these bcc ice phases, ices VII, VII′ and X are the same thermodynamic phase under different conditions, whereas superionic ice VII″ has a first-order phase boundary with ice VII′. Moreover, at about 300 GPa, the transformation between ice X and the Pbcm phase has a sharp structural change but no apparent activation barrier, whilst at higher pressures the barrier gradually increases. Our study thus clarifies the phase behaviour of the high-pressure ices and reveals peculiar solid–solid transition mechanisms not known in other systems. acknowledgement: We thank Chris Pickard for providing the initial structures of high-pressure ice phases and for useful advice. A.R. and B.C. acknowledge resources provided by the Cambridge Tier-2 system operated by the University of Cambridge Research Computing Service funded by EPSRC Tier-2 capital grant EP/P020259/1. M.B. was supported by the European Union within the Marie Skłodowska-Curie actions (xICE grant 894725) and acknowledges computational resources at North-German Supercomputing Alliance (HLRN) facilities. S.H. and M.M. acknowledge support from LDRD 19-ERD-031 and computing support from the Lawrence Livermore National Laboratory (LLNL) Institutional Computing Grand Challenge programme. F.C. acknowledges support from the US DOE Office of Science, Office of Fusion Energy Sciences. Lawrence Livermore National Laboratory is operated by Lawrence Livermore National Security, LLC, for the U.S. Department of Energy, National Nuclear Security Administration under Contract DE-AC52-07NA27344. article_number: '4707' article_processing_charge: No article_type: original author: - first_name: Aleks full_name: Reinhardt, Aleks last_name: Reinhardt - first_name: Mandy full_name: Bethkenhagen, Mandy last_name: Bethkenhagen - first_name: Federica full_name: Coppari, Federica last_name: Coppari - first_name: Marius full_name: Millot, Marius last_name: Millot - first_name: Sebastien full_name: Hamel, Sebastien last_name: Hamel - first_name: Bingqing full_name: Cheng, Bingqing id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9 last_name: Cheng orcid: 0000-0002-3584-9632 citation: ama: Reinhardt A, Bethkenhagen M, Coppari F, Millot M, Hamel S, Cheng B. Thermodynamics of high-pressure ice phases explored with atomistic simulations. Nature Communications. 2022;13. doi:10.1038/s41467-022-32374-1 apa: Reinhardt, A., Bethkenhagen, M., Coppari, F., Millot, M., Hamel, S., & Cheng, B. (2022). Thermodynamics of high-pressure ice phases explored with atomistic simulations. Nature Communications. Springer Nature. https://doi.org/10.1038/s41467-022-32374-1 chicago: Reinhardt, Aleks, Mandy Bethkenhagen, Federica Coppari, Marius Millot, Sebastien Hamel, and Bingqing Cheng. “Thermodynamics of High-Pressure Ice Phases Explored with Atomistic Simulations.” Nature Communications. Springer Nature, 2022. https://doi.org/10.1038/s41467-022-32374-1. ieee: A. Reinhardt, M. Bethkenhagen, F. Coppari, M. Millot, S. Hamel, and B. Cheng, “Thermodynamics of high-pressure ice phases explored with atomistic simulations,” Nature Communications, vol. 13. Springer Nature, 2022. ista: Reinhardt A, Bethkenhagen M, Coppari F, Millot M, Hamel S, Cheng B. 2022. Thermodynamics of high-pressure ice phases explored with atomistic simulations. Nature Communications. 13, 4707. mla: Reinhardt, Aleks, et al. “Thermodynamics of High-Pressure Ice Phases Explored with Atomistic Simulations.” Nature Communications, vol. 13, 4707, Springer Nature, 2022, doi:10.1038/s41467-022-32374-1. short: A. Reinhardt, M. Bethkenhagen, F. Coppari, M. Millot, S. Hamel, B. Cheng, Nature Communications 13 (2022). corr_author: '1' das_tickbox: '1' dataavailabilitystatement: All original data generated for the study are in the SI repository https://github.com/BingqingCheng/highP-ice. date_created: 2022-08-21T22:01:55Z date_published: 2022-08-10T00:00:00Z date_updated: 2026-08-07T11:18:25Z day: '10' ddc: - '540' department: - _id: BiCh doi: 10.1038/s41467-022-32374-1 external_id: isi: - '000838655300022' pmid: - '35948550' file: - access_level: open_access checksum: 8ff9b689cde59fd3a9959a9f01929dea content_type: application/pdf creator: dernst date_created: 2022-08-22T06:33:02Z date_updated: 2022-08-22T06:33:02Z file_id: '11939' file_name: 2022_NatureCommunications_Reinhardt.pdf file_size: 1767206 relation: main_file success: 1 file_date_updated: 2022-08-22T06:33:02Z fulldoi: https://doi.org/10.1038/s41467-022-32374-1 has_accepted_license: '1' intvolume: ' 13' isi: 1 language: - iso: eng month: '08' oa: 1 oa_version: Published Version pmid: 1 publication: Nature Communications publication_identifier: eissn: - 2041-1723 publication_status: published publisher: Springer Nature quality_controlled: '1' researchdata_availability: yes scopus_import: '1' status: public supplementarymaterial: yes title: Thermodynamics of high-pressure ice phases explored with atomistic simulations tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 13 year: '2022' ... --- _id: '9695' abstract: - lang: eng text: Real-world data typically contain a large number of features that are often heterogeneous in nature, relevance, and also units of measure. When assessing the similarity between data points, one can build various distance measures using subsets of these features. Using the fewest features but still retaining sufficient information about the system is crucial in many statistical learning approaches, particularly when data are sparse. We introduce a statistical test that can assess the relative information retained when using two different distance measures, and determine if they are equivalent, independent, or if one is more informative than the other. This in turn allows finding the most informative distance measure out of a pool of candidates. The approach is applied to find the most relevant policy variables for controlling the Covid-19 epidemic and to find compact yet informative representations of atomic structures, but its potential applications are wide ranging in many branches of science. acknowledgement: "A.G., C.Z., and A.L. gratefully acknowledge support from the European Union’s Horizon 2020 research and innovation program (grant number 824143, MaX ’Materials design at the eXascale’ Centre of Excellence). The authors would like to thank M. Carli, D. Doimo, and I. Macocco (SISSA) for the discussions, M. Caro (Aalto University) for the precious help in using the TurboGap code, and D. Frenkel (University of Cambridge) and N. Bernstein (US Naval Research Laboratory) for useful feedback on the manuscript.\r\nThis work is supported in part by funds from the European Union’s Horizon 2020 research and innovation program (grant number 824143, MaX ’Materials design at the eXascale’ Centre of Excellence)." article_number: pgac039 article_processing_charge: Yes article_type: original arxiv: 1 author: - first_name: Aldo full_name: Glielmo, Aldo last_name: Glielmo - first_name: Claudio full_name: Zeni, Claudio last_name: Zeni - first_name: Bingqing full_name: Cheng, Bingqing id: cbe3cda4-d82c-11eb-8dc7-8ff94289fcc9 last_name: Cheng orcid: 0000-0002-3584-9632 - first_name: Gabor full_name: Csanyi, Gabor last_name: Csanyi - first_name: Alessandro full_name: Laio, Alessandro last_name: Laio citation: ama: Glielmo A, Zeni C, Cheng B, Csanyi G, Laio A. Ranking the information content of distance measures. PNAS Nexus. 2022;1(2). doi:10.1093/pnasnexus/pgac039 apa: Glielmo, A., Zeni, C., Cheng, B., Csanyi, G., & Laio, A. (2022). Ranking the information content of distance measures. PNAS Nexus. Oxford University Press. https://doi.org/10.1093/pnasnexus/pgac039 chicago: Glielmo, Aldo, Claudio Zeni, Bingqing Cheng, Gabor Csanyi, and Alessandro Laio. “Ranking the Information Content of Distance Measures.” PNAS Nexus. Oxford University Press, 2022. https://doi.org/10.1093/pnasnexus/pgac039. ieee: A. Glielmo, C. Zeni, B. Cheng, G. Csanyi, and A. Laio, “Ranking the information content of distance measures,” PNAS Nexus, vol. 1, no. 2. Oxford University Press, 2022. ista: Glielmo A, Zeni C, Cheng B, Csanyi G, Laio A. 2022. Ranking the information content of distance measures. PNAS Nexus. 1(2), pgac039. mla: Glielmo, Aldo, et al. “Ranking the Information Content of Distance Measures.” PNAS Nexus, vol. 1, no. 2, pgac039, Oxford University Press, 2022, doi:10.1093/pnasnexus/pgac039. short: A. Glielmo, C. Zeni, B. Cheng, G. Csanyi, A. Laio, PNAS Nexus 1 (2022). das_tickbox: '1' dataavailabilitystatement: Details on the datasets used are available in the supplementary material. date_created: 2021-07-20T06:31:53Z date_published: 2022-05-01T00:00:00Z date_updated: 2026-08-07T11:23:54Z day: '01' ddc: - '000' department: - _id: BiCh doi: 10.1093/pnasnexus/pgac039 external_id: arxiv: - '2104.15079' pmid: - '36713323' file: - access_level: open_access checksum: f6552854d760eb574ce97abce2c8ef89 content_type: application/pdf creator: dernst date_created: 2024-05-29T06:21:33Z date_updated: 2024-05-29T06:21:33Z file_id: '17080' file_name: 2022_PNASNexus_Glielmo.pdf file_size: 2005167 relation: main_file success: 1 file_date_updated: 2024-05-29T06:21:33Z fulldoi: https://doi.org/10.1093/pnasnexus/pgac039 has_accepted_license: '1' intvolume: ' 1' issue: '2' language: - iso: eng license: https://creativecommons.org/licenses/by-nc-nd/4.0/ month: '05' oa: 1 oa_version: Published Version pmid: 1 publication: PNAS Nexus publication_identifier: eissn: - 2752-6542 publication_status: published publisher: Oxford University Press quality_controlled: '1' researchdata_availability: no scopus_import: '1' status: public supplementarymaterial: yes title: Ranking the information content of distance measures tmp: image: /images/cc_by_nc_nd.png legal_code_url: https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode name: Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) short: CC BY-NC-ND (4.0) type: journal_article user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345 volume: 1 year: '2022' ... --- _id: '12237' abstract: - lang: eng text: Thermoelectric technology requires synthesizing complex materials where not only the crystal structure but also other structural features such as defects, grain size and orientation, and interfaces must be controlled. To date, conventional solid-state techniques are unable to provide this level of control. Herein, we present a synthetic approach in which dense inorganic thermoelectric materials are produced by the consolidation of well-defined nanoparticle powders. The idea is that controlling the characteristics of the powder allows the chemical transformations that take place during consolidation to be guided, ultimately yielding inorganic solids with targeted features. Different from conventional methods, syntheses in solution can produce particles with unprecedented control over their size, shape, crystal structure, composition, and surface chemistry. However, to date, most works have focused only on the low-cost benefits of this strategy. In this perspective, we first cover the opportunities that solution processing of the powder offers, emphasizing the potential structural features that can be controlled by precisely engineering the inorganic core of the particle, the surface, and the organization of the particles before consolidation. We then discuss the challenges of this synthetic approach and more practical matters related to solution processing. Finally, we suggest some good practices for adequate knowledge transfer and improving reproducibility among different laboratories. acknowledgement: This work was financially supported by ISTA and the Werner Siemens Foundation. M.C. has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Skłodowska-Curie Grant Agreement no. 665385. article_processing_charge: Yes (via OA deal) article_type: original author: - first_name: Christine full_name: Fiedler, Christine id: bd3fceba-dc74-11ea-a0a7-c17f71817366 last_name: Fiedler - first_name: Tobias full_name: Kleinhanns, Tobias id: 8BD9DE16-AB3C-11E9-9C8C-2A03E6697425 last_name: Kleinhanns orcid: 0000-0003-1537-7436 - first_name: Maria full_name: Garcia, Maria id: 6e5c50b8-97dc-11ed-be98-b0a74c84cae0 last_name: Garcia - first_name: Seungho full_name: Lee, Seungho id: BB243B88-D767-11E9-B658-BC13E6697425 last_name: Lee orcid: 0000-0002-6962-8598 - first_name: Mariano full_name: Calcabrini, Mariano id: 45D7531A-F248-11E8-B48F-1D18A9856A87 last_name: Calcabrini orcid: 0000-0003-4566-5877 - first_name: Maria full_name: Ibáñez, Maria id: 43C61214-F248-11E8-B48F-1D18A9856A87 last_name: Ibáñez orcid: 0000-0001-5013-2843 citation: ama: 'Fiedler C, Kleinhanns T, Garcia M, Lee S, Calcabrini M, Ibáñez M. Solution-processed inorganic thermoelectric materials: Opportunities and challenges ∇. Chemistry of Materials. 2022;34(19):8471-8489. doi:10.1021/acs.chemmater.2c01967' apa: 'Fiedler, C., Kleinhanns, T., Garcia, M., Lee, S., Calcabrini, M., & Ibáñez, M. (2022). Solution-processed inorganic thermoelectric materials: Opportunities and challenges ∇. Chemistry of Materials. American Chemical Society. https://doi.org/10.1021/acs.chemmater.2c01967' chicago: 'Fiedler, Christine, Tobias Kleinhanns, Maria Garcia, Seungho Lee, Mariano Calcabrini, and Maria Ibáñez. “Solution-Processed Inorganic Thermoelectric Materials: Opportunities and Challenges ∇.” Chemistry of Materials. American Chemical Society, 2022. https://doi.org/10.1021/acs.chemmater.2c01967.' ieee: 'C. Fiedler, T. Kleinhanns, M. Garcia, S. Lee, M. Calcabrini, and M. Ibáñez, “Solution-processed inorganic thermoelectric materials: Opportunities and challenges ∇,” Chemistry of Materials, vol. 34, no. 19. American Chemical Society, pp. 8471–8489, 2022.' ista: 'Fiedler C, Kleinhanns T, Garcia M, Lee S, Calcabrini M, Ibáñez M. 2022. Solution-processed inorganic thermoelectric materials: Opportunities and challenges ∇. Chemistry of Materials. 34(19), 8471–8489.' mla: 'Fiedler, Christine, et al. “Solution-Processed Inorganic Thermoelectric Materials: Opportunities and Challenges ∇.” Chemistry of Materials, vol. 34, no. 19, American Chemical Society, 2022, pp. 8471–89, doi:10.1021/acs.chemmater.2c01967.' short: C. Fiedler, T. Kleinhanns, M. Garcia, S. Lee, M. Calcabrini, M. Ibáñez, Chemistry of Materials 34 (2022) 8471–8489. corr_author: '1' date_created: 2023-01-16T09:51:26Z date_published: 2022-09-20T00:00:00Z date_updated: 2026-08-11T12:39:14Z day: '20' ddc: - '540' department: - _id: MaIb doi: 10.1021/acs.chemmater.2c01967 ec_funded: 1 external_id: isi: - '000917837600001' pmid: - '36248227' file: - access_level: open_access checksum: f7143e44ab510519d1949099c3558532 content_type: application/pdf creator: dernst date_created: 2023-01-30T07:35:09Z date_updated: 2023-01-30T07:35:09Z file_id: '12434' file_name: 2022_ChemistryMaterials_Fiedler.pdf file_size: 10923495 relation: main_file success: 1 file_date_updated: 2023-01-30T07:35:09Z fulldoi: https://doi.org/10.1021/acs.chemmater.2c01967 has_accepted_license: '1' intvolume: ' 34' isi: 1 issue: '19' keyword: - Materials Chemistry - General Chemical Engineering - General Chemistry language: - iso: eng month: '09' oa: 1 oa_version: Published Version page: 8471-8489 pmid: 1 project: - _id: 2564DBCA-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '665385' name: International IST Doctoral Program publication: Chemistry of Materials publication_identifier: eissn: - 1520-5002 issn: - 0897-4756 publication_status: published publisher: American Chemical Society quality_controlled: '1' related_material: record: - id: '20415' relation: dissertation_contains status: public - id: '12885' relation: dissertation_contains status: public - id: '22017' relation: dissertation_contains status: public - id: '22626' relation: dissertation_contains status: public scopus_import: '1' status: public title: 'Solution-processed inorganic thermoelectric materials: Opportunities and challenges ∇' tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 34 year: '2022' ... --- _id: '11700' abstract: - lang: eng text: This paper contains two contributions in the study of optimal transport on metric graphs. Firstly, we prove a Benamou–Brenier formula for the Wasserstein distance, which establishes the equivalence of static and dynamical optimal transport. Secondly, in the spirit of Jordan–Kinderlehrer–Otto, we show that McKean–Vlasov equations can be formulated as gradient flow of the free energy in the Wasserstein space of probability measures. The proofs of these results are based on careful regularisation arguments to circumvent some of the difficulties arising in metric graphs, namely, branching of geodesics and the failure of semi-convexity of entropy functionals in the Wasserstein space. acknowledgement: "ME acknowledges funding by the Deutsche Forschungsgemeinschaft (DFG), Grant SFB 1283/2 2021 – 317210226. DF and JM were supported by the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 716117). JM also acknowledges support by the Austrian Science Fund (FWF), Project SFB F65. The work of DM was partially supported by the Deutsche Forschungsgemeinschaft\r\n(DFG), Grant 397230547. This article is based upon work from COST Action\r\n18232 MAT-DYN-NET, supported by COST (European Cooperation in Science\r\nand Technology), www.cost.eu. We wish to thank Martin Burger and Jan-Frederik\r\nPietschmann for useful discussions. We are grateful to the anonymous referees for\r\ntheir careful reading and useful suggestions." article_processing_charge: No article_type: original arxiv: 1 author: - first_name: Matthias full_name: Erbar, Matthias last_name: Erbar - first_name: Dominik L full_name: Forkert, Dominik L id: 35C79D68-F248-11E8-B48F-1D18A9856A87 last_name: Forkert - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 - first_name: Delio full_name: Mugnolo, Delio last_name: Mugnolo citation: ama: Erbar M, Forkert DL, Maas J, Mugnolo D. Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Networks and Heterogeneous Media. 2022;17(5):687-717. doi:10.3934/nhm.2022023 apa: Erbar, M., Forkert, D. L., Maas, J., & Mugnolo, D. (2022). Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Networks and Heterogeneous Media. AIMS. https://doi.org/10.3934/nhm.2022023 chicago: Erbar, Matthias, Dominik L Forkert, Jan Maas, and Delio Mugnolo. “Gradient Flow Formulation of Diffusion Equations in the Wasserstein Space over a Metric Graph.” Networks and Heterogeneous Media. AIMS, 2022. https://doi.org/10.3934/nhm.2022023. ieee: M. Erbar, D. L. Forkert, J. Maas, and D. Mugnolo, “Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph,” Networks and Heterogeneous Media, vol. 17, no. 5. AIMS, pp. 687–717, 2022. ista: Erbar M, Forkert DL, Maas J, Mugnolo D. 2022. Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph. Networks and Heterogeneous Media. 17(5), 687–717. mla: Erbar, Matthias, et al. “Gradient Flow Formulation of Diffusion Equations in the Wasserstein Space over a Metric Graph.” Networks and Heterogeneous Media, vol. 17, no. 5, AIMS, 2022, pp. 687–717, doi:10.3934/nhm.2022023. short: M. Erbar, D.L. Forkert, J. Maas, D. Mugnolo, Networks and Heterogeneous Media 17 (2022) 687–717. corr_author: '1' date_created: 2022-07-31T22:01:46Z date_published: 2022-10-01T00:00:00Z date_updated: 2026-08-12T06:20:30Z day: '01' department: - _id: JaMa doi: 10.3934/nhm.2022023 ec_funded: 1 external_id: arxiv: - '2105.05677' isi: - '000812422100001' fulldoi: https://doi.org/10.3934/nhm.2022023 intvolume: ' 17' isi: 1 issue: '5' language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2105.05677 month: '10' oa: 1 oa_version: Preprint page: 687-717 project: - _id: 256E75B8-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '716117' name: Optimal Transport and Stochastic Dynamics - _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2 grant_number: F6504 name: Taming Complexity in Partial Differential Systems publication: Networks and Heterogeneous Media publication_identifier: eissn: - 1556-181X issn: - 1556-1801 publication_status: published publisher: AIMS quality_controlled: '1' scopus_import: '1' status: public title: Gradient flow formulation of diffusion equations in the Wasserstein space over a metric graph type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 17 year: '2022' ... --- _id: '12299' abstract: - lang: eng text: 'Transfer learning is a classic paradigm by which models pretrained on large “upstream” datasets are adapted to yield good results on “downstream” specialized datasets. Generally, more accurate models on the “upstream” dataset tend to provide better transfer accuracy “downstream”. In this work, we perform an in-depth investigation of this phenomenon in the context of convolutional neural networks (CNNs) trained on the ImageNet dataset, which have been pruned-that is, compressed by sparsifiying their connections. We consider transfer using unstructured pruned models obtained by applying several state-of-the-art pruning methods, including magnitude-based, second-order, regrowth, lottery-ticket, and regularization approaches, in the context of twelve standard transfer tasks. In a nutshell, our study shows that sparse models can match or even outperform the transfer performance of dense models, even at high sparsities, and, while doing so, can lead to significant inference and even training speedups. At the same time, we observe and analyze significant differences in the behaviour of different pruning methods. The code is available at: https://github.com/IST-DASLab/sparse-imagenet-transfer.' acknowledgement: he authors would like to sincerely thank Christoph Lampert and Nir Shavit for fruitful discussions during the development of this work, and Eldar Kurtic for experimental support. EI was supported in part by the FWF DK VGSCO, grant agreement number W1260-N35, while AP and DA acknowledge generous support by the ERC, via Starting Grant 805223 ScaleML. article_processing_charge: No arxiv: 1 author: - first_name: Eugenia B full_name: Iofinova, Eugenia B id: f9a17499-f6e0-11ea-865d-fdf9a3f77117 last_name: Iofinova orcid: 0000-0002-7778-3221 - first_name: Elena-Alexandra full_name: Peste, Elena-Alexandra id: 32D78294-F248-11E8-B48F-1D18A9856A87 last_name: Peste - first_name: Mark full_name: Kurtz, Mark last_name: Kurtz - first_name: Dan-Adrian full_name: Alistarh, Dan-Adrian id: 4A899BFC-F248-11E8-B48F-1D18A9856A87 last_name: Alistarh orcid: 0000-0003-3650-940X citation: ama: 'Iofinova EB, Krumes A, Kurtz M, Alistarh D-A. How well do sparse ImageNet models transfer? In: 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition. IEEE; 2022:12256-12266. doi:10.1109/cvpr52688.2022.01195' apa: 'Iofinova, E. B., Krumes, A., Kurtz, M., & Alistarh, D.-A. (2022). How well do sparse ImageNet models transfer? In 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition (pp. 12256–12266). New Orleans, LA, United States: IEEE. https://doi.org/10.1109/cvpr52688.2022.01195' chicago: Iofinova, Eugenia B, Alexandra Krumes, Mark Kurtz, and Dan-Adrian Alistarh. “How Well Do Sparse ImageNet Models Transfer?” In 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition, 12256–66. IEEE, 2022. https://doi.org/10.1109/cvpr52688.2022.01195. ieee: E. B. Iofinova, A. Krumes, M. Kurtz, and D.-A. Alistarh, “How well do sparse ImageNet models transfer?,” in 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition, New Orleans, LA, United States, 2022, pp. 12256–12266. ista: 'Iofinova EB, Krumes A, Kurtz M, Alistarh D-A. 2022. How well do sparse ImageNet models transfer? 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition. CVPR: Computer Vision and Pattern Recognition, 12256–12266.' mla: Iofinova, Eugenia B., et al. “How Well Do Sparse ImageNet Models Transfer?” 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition, IEEE, 2022, pp. 12256–66, doi:10.1109/cvpr52688.2022.01195. short: E.B. Iofinova, A. Krumes, M. Kurtz, D.-A. Alistarh, in:, 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition, IEEE, 2022, pp. 12256–12266. conference: end_date: 2022-06-24 location: New Orleans, LA, United States name: 'CVPR: Computer Vision and Pattern Recognition' start_date: 2022-06-18 corr_author: '1' date_created: 2023-01-16T10:06:00Z date_published: 2022-09-27T00:00:00Z date_updated: 2026-08-12T06:34:08Z day: '27' department: - _id: DaAl - _id: ChLa doi: 10.1109/cvpr52688.2022.01195 ec_funded: 1 external_id: arxiv: - '2111.13445' isi: - '000870759105034' fulldoi: https://doi.org/10.1109/cvpr52688.2022.01195 isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2111.13445 month: '09' oa: 1 oa_version: Preprint page: 12256-12266 project: - _id: 9B9290DE-BA93-11EA-9121-9846C619BF3A grant_number: W1260-N35 name: Vienna Graduate School on Computational Optimization - _id: 268A44D6-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '805223' name: Elastic Coordination for Scalable Machine Learning publication: 2022 IEEE/CVF Conference on Computer Vision and Pattern Recognition publication_identifier: eissn: - 2575-7075 publication_status: published publisher: IEEE quality_controlled: '1' related_material: record: - id: '13074' relation: dissertation_contains status: public scopus_import: '1' status: public title: How well do sparse ImageNet models transfer? type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 year: '2022' ... --- _id: '12161' abstract: - lang: eng text: 'We introduce LIMES, a new method for learning with non-stationary streaming data, inspired by the recent success of meta-learning. The main idea is not to attempt to learn a single classifier that would have to work well across all occurring data distributions, nor many separate classifiers, but to exploit a hybrid strategy: we learn a single set of model parameters from which a specific classifier for any specific data distribution is derived via classifier adaptation. Assuming a multiclass classification setting with class-prior shift, the adaptation step can be performed analytically with only the classifier’s bias terms being affected. Another contribution of our work is an extrapolation step that predicts suitable adaptation parameters for future time steps based on the previous data. In combination, we obtain a lightweight procedure for learning from streaming data with varying class distribution that adds no trainable parameters and almost no memory or computational overhead compared to training a single model. Experiments on a set of exemplary tasks using Twitter data show that LIMES achieves higher accuracy than alternative approaches, especially with respect to the relevant real-world metric of lowest within-day accuracy.' article_processing_charge: No arxiv: 1 author: - first_name: Paulina full_name: Tomaszewska, Paulina last_name: Tomaszewska - first_name: Christoph full_name: Lampert, Christoph id: 40C20FD2-F248-11E8-B48F-1D18A9856A87 last_name: Lampert orcid: 0000-0001-8622-7887 citation: ama: 'Tomaszewska P, Lampert C. Lightweight conditional model extrapolation for streaming data under class-prior shift. In: 26th International Conference on Pattern Recognition. Vol 2022. IEEE; 2022:2128-2134. doi:10.1109/icpr56361.2022.9956195' apa: 'Tomaszewska, P., & Lampert, C. (2022). Lightweight conditional model extrapolation for streaming data under class-prior shift. In 26th International Conference on Pattern Recognition (Vol. 2022, pp. 2128–2134). Montreal, Canada: IEEE. https://doi.org/10.1109/icpr56361.2022.9956195' chicago: Tomaszewska, Paulina, and Christoph Lampert. “Lightweight Conditional Model Extrapolation for Streaming Data under Class-Prior Shift.” In 26th International Conference on Pattern Recognition, 2022:2128–34. IEEE, 2022. https://doi.org/10.1109/icpr56361.2022.9956195. ieee: P. Tomaszewska and C. Lampert, “Lightweight conditional model extrapolation for streaming data under class-prior shift,” in 26th International Conference on Pattern Recognition, Montreal, Canada, 2022, vol. 2022, pp. 2128–2134. ista: 'Tomaszewska P, Lampert C. 2022. Lightweight conditional model extrapolation for streaming data under class-prior shift. 26th International Conference on Pattern Recognition. ICPR: International Conference on Pattern Recognition vol. 2022, 2128–2134.' mla: Tomaszewska, Paulina, and Christoph Lampert. “Lightweight Conditional Model Extrapolation for Streaming Data under Class-Prior Shift.” 26th International Conference on Pattern Recognition, vol. 2022, IEEE, 2022, pp. 2128–34, doi:10.1109/icpr56361.2022.9956195. short: P. Tomaszewska, C. Lampert, in:, 26th International Conference on Pattern Recognition, IEEE, 2022, pp. 2128–2134. conference: end_date: 2022-08-25 location: Montreal, Canada name: 'ICPR: International Conference on Pattern Recognition' start_date: 2022-08-21 corr_author: '1' date_created: 2023-01-12T12:09:38Z date_published: 2022-11-29T00:00:00Z date_updated: 2026-08-12T06:35:14Z day: '29' department: - _id: ChLa doi: 10.1109/icpr56361.2022.9956195 external_id: arxiv: - '2206.05181' isi: - '000897707602018' fulldoi: https://doi.org/10.1109/icpr56361.2022.9956195 intvolume: ' 2022' isi: 1 language: - iso: eng main_file_link: - open_access: '1' url: https://doi.org/10.48550/arXiv.2206.05181 month: '11' oa: 1 oa_version: Preprint page: 2128-2134 publication: 26th International Conference on Pattern Recognition publication_identifier: eisbn: - '9781665490627' eissn: - 2831-7475 publication_status: published publisher: IEEE quality_controlled: '1' scopus_import: '1' status: public title: Lightweight conditional model extrapolation for streaming data under class-prior shift type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 2022 year: '2022' ...