[{"external_id":{"isi":["000728364000017"]},"department":[{"_id":"KrPi"}],"month":"11","publisher":"Springer Nature","day":"04","oa":1,"volume":"13043 ","doi":"10.1007/978-3-030-90453-1_17","isi":1,"year":"2021","quality_controlled":"1","publication_status":"published","fulldoi":"https://doi.org/10.1007/978-3-030-90453-1_17","main_file_link":[{"url":"https://eprint.iacr.org/2021/926","open_access":"1"}],"alternative_title":["LNCS"],"date_published":"2021-11-04T00:00:00Z","conference":{"start_date":"2021-11-08","end_date":"2021-11-11","name":"TCC: Theory of Cryptography","location":"Raleigh, NC, United States"},"article_processing_charge":"No","publication_identifier":{"eissn":["1611-3349"],"issn":["0302-9743"],"isbn":["9-783-0309-0452-4"]},"ec_funded":1,"acknowledgement":"We are grateful to Daniel Wichs for helpful discussions on the landscape of adaptive security of Yao’s garbling. We would also like to thank Crypto 2021 and TCC 2021 reviewers for their detailed review and suggestions, which helped improve presentation considerably.","publication":"19th International Conference","scopus_import":"1","language":[{"iso":"eng"}],"type":"conference","oa_version":"Preprint","abstract":[{"text":"We show that Yao’s garbling scheme is adaptively indistinguishable for the class of Boolean circuits of size   S  and treewidth   w  with only a   SO(w)  loss in security. For instance, circuits with constant treewidth are as a result adaptively indistinguishable with only a polynomial loss. This (partially) complements a negative result of Applebaum et al. (Crypto 2013), which showed (assuming one-way functions) that Yao’s garbling scheme cannot be adaptively simulatable. As main technical contributions, we introduce a new pebble game that abstracts out our security reduction and then present a pebbling strategy for this game where the number of pebbles used is roughly   O(δwlog(S)) ,   δ  being the fan-out of the circuit. The design of the strategy relies on separators, a graph-theoretic notion with connections to circuit complexity.  with only a   SO(w)  loss in security. For instance, circuits with constant treewidth are as a result adaptively indistinguishable with only a polynomial loss. This (partially) complements a negative result of Applebaum et al. (Crypto 2013), which showed (assuming one-way functions) that Yao’s garbling scheme cannot be adaptively simulatable. As main technical contributions, we introduce a new pebble game that abstracts out our security reduction and then present a pebbling strategy for this game where the number of pebbles used is roughly   O(δwlog(S)) ,   δ  being the fan-out of the circuit. The design of the strategy relies on separators, a graph-theoretic notion with connections to circuit complexity.","lang":"eng"}],"_id":"10409","title":"On treewidth, separators and Yao’s garbling","status":"public","date_created":"2021-12-05T23:01:43Z","author":[{"orcid":"0009-0006-6812-7317","full_name":"Kamath Hosdurg, Chethan","last_name":"Kamath Hosdurg","first_name":"Chethan","id":"4BD3F30E-F248-11E8-B48F-1D18A9856A87"},{"id":"3E83A2F8-F248-11E8-B48F-1D18A9856A87","first_name":"Karen","last_name":"Klein","full_name":"Klein, Karen"},{"id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof Z","last_name":"Pietrzak","full_name":"Pietrzak, Krzysztof Z","orcid":"0000-0002-9139-1654"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","date_updated":"2026-07-06T13:15:57Z","related_material":{"record":[{"status":"public","id":"10044","relation":"earlier_version"}]},"project":[{"grant_number":"682815","_id":"258AA5B2-B435-11E9-9278-68D0E5697425","name":"Teaching Old Crypto New Tricks","call_identifier":"H2020"}],"page":"486-517","citation":{"ama":"Kamath Hosdurg C, Klein K, Pietrzak KZ. On treewidth, separators and Yao’s garbling. In: <i>19th International Conference</i>. Vol 13043. Springer Nature; 2021:486-517. doi:<a href=\"https://doi.org/10.1007/978-3-030-90453-1_17\">10.1007/978-3-030-90453-1_17</a>","mla":"Kamath Hosdurg, Chethan, et al. “On Treewidth, Separators and Yao’s Garbling.” <i>19th International Conference</i>, vol. 13043, Springer Nature, 2021, pp. 486–517, doi:<a href=\"https://doi.org/10.1007/978-3-030-90453-1_17\">10.1007/978-3-030-90453-1_17</a>.","ieee":"C. Kamath Hosdurg, K. Klein, and K. Z. Pietrzak, “On treewidth, separators and Yao’s garbling,” in <i>19th International Conference</i>, Raleigh, NC, United States, 2021, vol. 13043, pp. 486–517.","ista":"Kamath Hosdurg C, Klein K, Pietrzak KZ. 2021. On treewidth, separators and Yao’s garbling. 19th International Conference. TCC: Theory of Cryptography, LNCS, vol. 13043, 486–517.","short":"C. Kamath Hosdurg, K. Klein, K.Z. Pietrzak, in:, 19th International Conference, Springer Nature, 2021, pp. 486–517.","chicago":"Kamath Hosdurg, Chethan, Karen Klein, and Krzysztof Z Pietrzak. “On Treewidth, Separators and Yao’s Garbling.” In <i>19th International Conference</i>, 13043:486–517. Springer Nature, 2021. <a href=\"https://doi.org/10.1007/978-3-030-90453-1_17\">https://doi.org/10.1007/978-3-030-90453-1_17</a>.","apa":"Kamath Hosdurg, C., Klein, K., &#38; Pietrzak, K. Z. (2021). On treewidth, separators and Yao’s garbling. In <i>19th International Conference</i> (Vol. 13043, pp. 486–517). Raleigh, NC, United States: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-030-90453-1_17\">https://doi.org/10.1007/978-3-030-90453-1_17</a>"}},{"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-06T13:16:17Z","das_tickbox":"1","main_file_link":[{"url":"https://ia.cr/2021/059","open_access":"1"}],"date_published":"2021-07-08T00:00:00Z","related_material":{"record":[{"status":"public","relation":"later_version","id":"10410"},{"id":"10035","relation":"dissertation_contains","status":"public"}]},"conference":{"name":"TCC: Theory of Cryptography Conference","end_date":"2021-11-11","start_date":"2021-11-08","location":"Raleigh, NC, United States"},"article_processing_charge":"No","citation":{"apa":"Kamath Hosdurg, C., Klein, K., Pietrzak, K. Z., &#38; Walter, M. (2021). The cost of adaptivity in security games on graphs. In <i>19th Theory of Cryptography Conference 2021</i>. Raleigh, NC, United States: International Association for Cryptologic Research.","chicago":"Kamath Hosdurg, Chethan, Karen Klein, Krzysztof Z Pietrzak, and Michael Walter. “The Cost of Adaptivity in Security Games on Graphs.” In <i>19th Theory of Cryptography Conference 2021</i>. International Association for Cryptologic Research, 2021.","ieee":"C. Kamath Hosdurg, K. Klein, K. Z. Pietrzak, and M. Walter, “The cost of adaptivity in security games on graphs,” in <i>19th Theory of Cryptography Conference 2021</i>, Raleigh, NC, United States, 2021.","short":"C. Kamath Hosdurg, K. Klein, K.Z. Pietrzak, M. Walter, in:, 19th Theory of Cryptography Conference 2021, International Association for Cryptologic Research, 2021.","ista":"Kamath Hosdurg C, Klein K, Pietrzak KZ, Walter M. 2021. The cost of adaptivity in security games on graphs. 19th Theory of Cryptography Conference 2021. TCC: Theory of Cryptography Conference.","mla":"Kamath Hosdurg, Chethan, et al. “The Cost of Adaptivity in Security Games on Graphs.” <i>19th Theory of Cryptography Conference 2021</i>, International Association for Cryptologic Research, 2021.","ama":"Kamath Hosdurg C, Klein K, Pietrzak KZ, Walter M. The cost of adaptivity in security games on graphs. In: <i>19th Theory of Cryptography Conference 2021</i>. International Association for Cryptologic Research; 2021."},"quality_controlled":"1","year":"2021","oa_version":"Preprint","type":"conference","publication_status":"published","cryptoeprintid":1,"abstract":[{"text":"The security of cryptographic primitives and protocols against adversaries that are allowed to make adaptive choices (e.g., which parties to corrupt or which queries to make) is notoriously difficult to establish. A broad theoretical\r\nframework was introduced by Jafargholi et al. [Crypto’17] for this purpose. In this paper we initiate the study of lower bounds on loss in adaptive security for certain cryptographic protocols considered in the framework. We prove lower\r\nbounds that almost match the upper bounds (proven using the framework) for proxy re-encryption, prefix-constrained PRFs and generalized selective decryption, a security game that captures the security of certain group messaging and\r\nbroadcast encryption schemes. Those primitives have in common that their security game involves an underlying graph that can be adaptively built by the adversary. Some of our lower bounds only apply to a restricted class of black-box reductions which we term “oblivious” (the existing upper bounds are of this restricted type), some apply to the broader but still restricted class of non-rewinding reductions, while our lower bound for proxy re-encryption applies to all black-box reductions. The fact that some of our lower bounds seem to crucially rely on obliviousness or at least a non-rewinding reduction hints to the exciting possibility that the existing upper bounds can be improved by using more sophisticated reductions. Our main conceptual contribution is a two-player multi-stage game called the Builder-Pebbler Game. We can translate bounds on the winning probabilities for various instantiations of this game into cryptographic lower bounds for the above-mentioned primitives using oracle separation techniques.\r\n","lang":"eng"}],"_id":"10048","title":"The cost of adaptivity in security games on graphs","status":"public","date_created":"2021-09-27T12:52:05Z","author":[{"id":"4BD3F30E-F248-11E8-B48F-1D18A9856A87","first_name":"Chethan","last_name":"Kamath Hosdurg","orcid":"0009-0006-6812-7317","full_name":"Kamath Hosdurg, Chethan"},{"full_name":"Klein, Karen","id":"3E83A2F8-F248-11E8-B48F-1D18A9856A87","last_name":"Klein","first_name":"Karen"},{"first_name":"Krzysztof Z","last_name":"Pietrzak","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9139-1654","full_name":"Pietrzak, Krzysztof Z"},{"orcid":"0000-0003-3186-2482","full_name":"Walter, Michael","id":"488F98B0-F248-11E8-B48F-1D18A9856A87","last_name":"Walter","first_name":"Michael"}],"language":[{"iso":"eng"}],"external_id":{"cryptoeprintid":["2021/059"]},"month":"07","department":[{"_id":"KrPi"}],"publisher":"International Association for Cryptologic Research","day":"08","publication":"19th Theory of Cryptography Conference 2021","oa":1},{"abstract":[{"text":"We show that Yao’s garbling scheme is adaptively indistinguishable for the class of Boolean circuits of size S and treewidth w with only a S^O(w) loss in security. For instance, circuits with constant treewidth are as a result adaptively indistinguishable with only a polynomial loss. This (partially) complements a negative result of Applebaum et al. (Crypto 2013), which showed (assuming one-way functions) that Yao’s garbling scheme cannot be adaptively simulatable. As main technical contributions, we introduce a new pebble game that abstracts out our security reduction and then present a pebbling strategy for this game where the number of pebbles used is roughly O(d w log(S)), d being the fan-out of the circuit. The design of the strategy relies on separators, a graph-theoretic notion with connections to circuit complexity.","lang":"eng"}],"oa_version":"Preprint","type":"conference","status":"public","author":[{"id":"4BD3F30E-F248-11E8-B48F-1D18A9856A87","first_name":"Chethan","last_name":"Kamath Hosdurg","full_name":"Kamath Hosdurg, Chethan","orcid":"0009-0006-6812-7317"},{"full_name":"Klein, Karen","id":"3E83A2F8-F248-11E8-B48F-1D18A9856A87","last_name":"Klein","first_name":"Karen"},{"id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","first_name":"Krzysztof Z","last_name":"Pietrzak","full_name":"Pietrzak, Krzysztof Z","orcid":"0000-0002-9139-1654"}],"date_created":"2021-09-24T12:01:34Z","_id":"10044","title":"On treewidth, separators and Yao's garbling","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-06T13:15:57Z","project":[{"grant_number":"682815","name":"Teaching Old Crypto New Tricks","call_identifier":"H2020","_id":"258AA5B2-B435-11E9-9278-68D0E5697425"}],"citation":{"apa":"Kamath Hosdurg, C., Klein, K., &#38; Pietrzak, K. Z. (2021). On treewidth, separators and Yao’s garbling. In <i>19th Theory of Cryptography Conference 2021</i>. Raleigh, NC, United States: International Association for Cryptologic Research.","chicago":"Kamath Hosdurg, Chethan, Karen Klein, and Krzysztof Z Pietrzak. “On Treewidth, Separators and Yao’s Garbling.” In <i>19th Theory of Cryptography Conference 2021</i>. International Association for Cryptologic Research, 2021.","ista":"Kamath Hosdurg C, Klein K, Pietrzak KZ. 2021. On treewidth, separators and Yao’s garbling. 19th Theory of Cryptography Conference 2021. TCC: Theory of Cryptography Conference, 2021/926.","short":"C. Kamath Hosdurg, K. Klein, K.Z. Pietrzak, in:, 19th Theory of Cryptography Conference 2021, International Association for Cryptologic Research, 2021.","ieee":"C. Kamath Hosdurg, K. Klein, and K. Z. Pietrzak, “On treewidth, separators and Yao’s garbling,” in <i>19th Theory of Cryptography Conference 2021</i>, Raleigh, NC, United States, 2021.","ama":"Kamath Hosdurg C, Klein K, Pietrzak KZ. On treewidth, separators and Yao’s garbling. In: <i>19th Theory of Cryptography Conference 2021</i>. International Association for Cryptologic Research; 2021.","mla":"Kamath Hosdurg, Chethan, et al. “On Treewidth, Separators and Yao’s Garbling.” <i>19th Theory of Cryptography Conference 2021</i>, 2021/926, International Association for Cryptologic Research, 2021."},"related_material":{"record":[{"status":"public","id":"10409","relation":"later_version"},{"relation":"dissertation_contains","id":"10035","status":"public"}]},"ec_funded":1,"acknowledgement":"We would like to thank Daniel Wichs for helpful discussions on the landscape of adaptive security of Yao’s garbling.  ","publication":"19th Theory of Cryptography Conference 2021","language":[{"iso":"eng"}],"cryptoeprintid":1,"year":"2021","quality_controlled":"1","publication_status":"published","main_file_link":[{"url":"https://eprint.iacr.org/2021/926","open_access":"1"}],"das_tickbox":"1","article_processing_charge":"No","date_published":"2021-07-08T00:00:00Z","conference":{"location":"Raleigh, NC, United States","name":"TCC: Theory of Cryptography Conference","start_date":"2021-11-08","end_date":"2021-11-11"},"month":"07","department":[{"_id":"KrPi"}],"publisher":"International Association for Cryptologic Research","external_id":{"cryptoeprintid":["2021/926"]},"oa":1,"day":"08","article_number":"2021/926"},{"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"ddc":["510"],"publication_status":"published","year":"2021","quality_controlled":"1","intvolume":"        17","has_accepted_license":"1","date_published":"2021-02-03T00:00:00Z","file_date_updated":"2022-01-26T08:04:50Z","article_processing_charge":"No","keyword":["computer science","computer science and game theory","logic in computer science"],"das_tickbox":"1","fulldoi":"https://doi.org/10.23638/LMCS-17(1:10)2021","arxiv":1,"day":"03","corr_author":"1","oa":1,"external_id":{"arxiv":["1905.03588"],"isi":["000658724600010"]},"publisher":"EPI Sciences","department":[{"_id":"ToHe"}],"month":"02","isi":1,"volume":17,"doi":"10.23638/LMCS-17(1:10)2021","file":[{"file_size":819878,"content_type":"application/pdf","date_updated":"2022-01-26T08:04:50Z","file_name":"2021_LMCS_AGHAJOHAR.pdf","file_id":"10690","creator":"alisjak","relation":"main_file","access_level":"open_access","checksum":"b35586a50ed1ca8f44767de116d18d81","date_created":"2022-01-26T08:04:50Z","success":1}],"title":"Determinacy in discrete-bidding infinite-duration games","_id":"10674","author":[{"full_name":"Aghajohari, Milad","first_name":"Milad","last_name":"Aghajohari"},{"id":"463C8BC2-F248-11E8-B48F-1D18A9856A87","last_name":"Avni","first_name":"Guy","full_name":"Avni, Guy","orcid":"0000-0001-5588-8287"},{"first_name":"Thomas A","last_name":"Henzinger","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","full_name":"Henzinger, Thomas A","orcid":"0000-0002-2985-7724"}],"status":"public","date_created":"2022-01-25T16:32:13Z","oa_version":"Published Version","type":"journal_article","article_type":"original","abstract":[{"text":"In two-player games on graphs, the players move a token through a graph to produce an infinite path, which determines the winner of the game. Such games are central in formal methods since they model the interaction between a non-terminating system and its environment. In bidding games the players bid for the right to move the token: in each round, the players simultaneously submit bids, and the higher bidder moves the token and pays the other player. Bidding games are known to have a clean and elegant mathematical structure that relies on the ability of the players to submit arbitrarily small bids. Many applications, however, require a fixed granularity for the bids, which can represent, for example, the monetary value expressed in cents. We study, for the first time, the combination of discrete-bidding and infinite-duration games. Our most important result proves that these games form a large determined subclass of concurrent games, where determinacy is the strong property that there always exists exactly one player who can guarantee winning the game. In particular, we show that, in contrast to non-discrete bidding games, the mechanism with which tied bids are resolved plays an important role in discrete-bidding games. We study several natural tie-breaking mechanisms and show that, while some do not admit determinacy, most natural mechanisms imply determinacy for every pair of initial budgets.","lang":"eng"}],"license":"https://creativecommons.org/licenses/by/4.0/","citation":{"ieee":"M. Aghajohari, G. Avni, and T. A. Henzinger, “Determinacy in discrete-bidding infinite-duration games,” <i>Logical Methods in Computer Science</i>, vol. 17, no. 1. EPI Sciences, p. 10:1-10:23, 2021.","short":"M. Aghajohari, G. Avni, T.A. Henzinger, Logical Methods in Computer Science 17 (2021) 10:1-10:23.","ista":"Aghajohari M, Avni G, Henzinger TA. 2021. Determinacy in discrete-bidding infinite-duration games. Logical Methods in Computer Science. 17(1), 10:1-10:23.","mla":"Aghajohari, Milad, et al. “Determinacy in Discrete-Bidding Infinite-Duration Games.” <i>Logical Methods in Computer Science</i>, vol. 17, no. 1, EPI Sciences, 2021, p. 10:1-10:23, doi:<a href=\"https://doi.org/10.23638/LMCS-17(1:10)2021\">10.23638/LMCS-17(1:10)2021</a>.","ama":"Aghajohari M, Avni G, Henzinger TA. Determinacy in discrete-bidding infinite-duration games. <i>Logical Methods in Computer Science</i>. 2021;17(1):10:1-10:23. doi:<a href=\"https://doi.org/10.23638/LMCS-17(1:10)2021\">10.23638/LMCS-17(1:10)2021</a>","apa":"Aghajohari, M., Avni, G., &#38; Henzinger, T. A. (2021). Determinacy in discrete-bidding infinite-duration games. <i>Logical Methods in Computer Science</i>. EPI Sciences. <a href=\"https://doi.org/10.23638/LMCS-17(1:10)2021\">https://doi.org/10.23638/LMCS-17(1:10)2021</a>","chicago":"Aghajohari, Milad, Guy Avni, and Thomas A Henzinger. “Determinacy in Discrete-Bidding Infinite-Duration Games.” <i>Logical Methods in Computer Science</i>. EPI Sciences, 2021. <a href=\"https://doi.org/10.23638/LMCS-17(1:10)2021\">https://doi.org/10.23638/LMCS-17(1:10)2021</a>."},"page":"10:1-10:23","project":[{"call_identifier":"FWF","name":"Formal Methods meets Algorithmic Game Theory","_id":"264B3912-B435-11E9-9278-68D0E5697425","grant_number":"M02369"},{"grant_number":"S11402-N23","name":"Rigorous Systems Engineering","call_identifier":"FWF","_id":"25F2ACDE-B435-11E9-9278-68D0E5697425"},{"_id":"25F42A32-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Formal methods for the design and analysis of complex systems","grant_number":"Z211"}],"date_updated":"2026-07-06T13:21:45Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","publication":"Logical Methods in Computer Science","scopus_import":"1","issue":"1","publication_identifier":{"eissn":["1860-5974"]},"acknowledgement":"This research was supported in part by the Austrian Science Fund (FWF) under grants S11402-N23 (RiSE/SHiNE), Z211-N23 (Wittgenstein Award), and M 2369-N33 (Meitner fellowship).\r\n","language":[{"iso":"eng"}]},{"language":[{"iso":"eng"}],"publication_identifier":{"issn":["1526-7555"]},"acknowledgement":"I.K. acknowledges support from the U.S. National Science Foundation under Grant NSF-DMS-20-04997. J.M. acknowledges support from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 716117) and from the Austrian Science Fund (FWF) through project F65. W.S. acknowledges support from the Austrian Science Fund (FWF) under grant P28861 and by the Vienna Science and Technology Fund (WWTF) through projects MA14-008 and MA16-021.","ec_funded":1,"issue":"4","publication":"Communications in Information and Systems","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-06T13:38:10Z","project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Optimal Transport and Stochastic Dynamics","grant_number":"716117"},{"grant_number":"F6504","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","name":"Taming Complexity in Partial Differential Systems"}],"citation":{"ama":"Karatzas I, Maas J, Schachermayer W. Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. <i>Communications in Information and Systems</i>. 2021;21(4):481-536. doi:<a href=\"https://doi.org/10.4310/CIS.2021.v21.n4.a1\">10.4310/CIS.2021.v21.n4.a1</a>","mla":"Karatzas, Ioannis, et al. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” <i>Communications in Information and Systems</i>, vol. 21, no. 4, International Press of Boston, 2021, pp. 481–536, doi:<a href=\"https://doi.org/10.4310/CIS.2021.v21.n4.a1\">10.4310/CIS.2021.v21.n4.a1</a>.","ista":"Karatzas I, Maas J, Schachermayer W. 2021. Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. Communications in Information and Systems. 21(4), 481–536.","ieee":"I. Karatzas, J. Maas, and W. Schachermayer, “Trajectorial dissipation and gradient flow for the relative entropy in Markov chains,” <i>Communications in Information and Systems</i>, vol. 21, no. 4. International Press of Boston, pp. 481–536, 2021.","short":"I. Karatzas, J. Maas, W. Schachermayer, Communications in Information and Systems 21 (2021) 481–536.","chicago":"Karatzas, Ioannis, Jan Maas, and Walter Schachermayer. “Trajectorial Dissipation and Gradient Flow for the Relative Entropy in Markov Chains.” <i>Communications in Information and Systems</i>. International Press of Boston, 2021. <a href=\"https://doi.org/10.4310/CIS.2021.v21.n4.a1\">https://doi.org/10.4310/CIS.2021.v21.n4.a1</a>.","apa":"Karatzas, I., Maas, J., &#38; Schachermayer, W. (2021). Trajectorial dissipation and gradient flow for the relative entropy in Markov chains. <i>Communications in Information and Systems</i>. International Press of Boston. <a href=\"https://doi.org/10.4310/CIS.2021.v21.n4.a1\">https://doi.org/10.4310/CIS.2021.v21.n4.a1</a>"},"page":"481-536","abstract":[{"text":"We study the temporal dissipation of variance and relative entropy for ergodic Markov Chains in continuous time, and compute explicitly the corresponding dissipation rates. These are identified, as is well known, in the case of the variance in terms of an appropriate Hilbertian norm; and in the case of the relative entropy, in terms of a Dirichlet form which morphs into a version of the familiar Fisher information under conditions of detailed balance. Here we obtain trajectorial versions of these results, valid along almost every path of the random motion and most transparent in the backwards direction of time. Martingale arguments and time reversal play crucial roles, as in the recent work of Karatzas, Schachermayer and Tschiderer for conservative diffusions. Extensions are developed to general “convex divergences” and to countable state-spaces. The steepest descent and gradient flow properties for the variance, the relative entropy, and appropriate generalizations, are studied along with their respective geometries under conditions of detailed balance, leading to a very direct proof for the HWI inequality of Otto and Villani in the present context.","lang":"eng"}],"article_type":"original","oa_version":"Preprint","type":"journal_article","author":[{"full_name":"Karatzas, Ioannis","last_name":"Karatzas","first_name":"Ioannis"},{"id":"4C5696CE-F248-11E8-B48F-1D18A9856A87","first_name":"Jan","last_name":"Maas","full_name":"Maas, Jan","orcid":"0000-0002-0845-1338"},{"last_name":"Schachermayer","first_name":"Walter","full_name":"Schachermayer, Walter"}],"date_created":"2021-09-19T08:53:19Z","status":"public","_id":"10023","title":"Trajectorial dissipation and gradient flow for the relative entropy in Markov chains","doi":"10.4310/CIS.2021.v21.n4.a1","volume":21,"department":[{"_id":"JaMa"}],"month":"06","publisher":"International Press of Boston","external_id":{"arxiv":["2005.14177"]},"oa":1,"day":"04","arxiv":1,"main_file_link":[{"url":"https://arxiv.org/abs/2005.14177","open_access":"1"}],"fulldoi":"https://doi.org/10.4310/CIS.2021.v21.n4.a1","das_tickbox":"1","keyword":["Markov Chain","relative entropy","time reversal","steepest descent","gradient flow"],"article_processing_charge":"No","date_published":"2021-06-04T00:00:00Z","intvolume":"        21","quality_controlled":"1","year":"2021","publication_status":"published"},{"day":"20","oa":1,"external_id":{"isi":["000700090000001"],"pmid":["34569592"]},"month":"10","department":[{"_id":"HeEd"}],"publisher":"Royal Society of Chemistry","isi":1,"volume":17,"file":[{"file_id":"14385","file_name":"2021_SoftMatter_acceptedversion_Osang.pdf","date_updated":"2023-10-03T09:21:42Z","content_type":"application/pdf","file_size":4678788,"success":1,"checksum":"b4da0c420530295e61b153960f6cb350","date_created":"2023-10-03T09:21:42Z","access_level":"open_access","relation":"main_file","creator":"dernst"}],"doi":"10.1039/d1sm00774b","ddc":["540"],"pmid":1,"quality_controlled":"1","year":"2021","publication_status":"published","intvolume":"        17","date_published":"2021-10-20T00:00:00Z","file_date_updated":"2023-10-03T09:21:42Z","has_accepted_license":"1","article_processing_charge":"No","fulldoi":"https://doi.org/10.1039/d1sm00774b","das_tickbox":"1","publication":"Soft Matter","issue":"40","scopus_import":"1","acknowledgement":"MS acknowledges the support by Australian Research Council funding through the ARC Training Centre for M3D Innovation (IC180100008). MS thanks M. Hanifpour and N. Francois for their input and valuable discussions. This project has received funding from the European Research Council (ERC) under the European Union's Horizon 2020 research and innovation programme, grant no. 788183 and from the Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31.","publication_identifier":{"eissn":["1744-6848"],"issn":["1744-683X"]},"ec_funded":1,"language":[{"iso":"eng"}],"_id":"10204","title":"Topological signatures and stability of hexagonal close packing and Barlow stackings","date_created":"2021-10-31T23:01:30Z","author":[{"orcid":"0000-0002-8882-5116","full_name":"Osang, Georg F","id":"464B40D6-F248-11E8-B48F-1D18A9856A87","first_name":"Georg F","last_name":"Osang"},{"first_name":"Herbert","last_name":"Edelsbrunner","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert"},{"first_name":"Mohammad","last_name":"Saadatfar","full_name":"Saadatfar, Mohammad"}],"status":"public","article_type":"original","oa_version":"Submitted Version","type":"journal_article","abstract":[{"lang":"eng","text":"Two common representations of close packings of identical spheres consisting of hexagonal layers, called Barlow stackings, appear abundantly in minerals and metals. These motifs, however, occupy an identical portion of space and bear identical first-order topological signatures as measured by persistent homology. Here we present a novel method based on k-fold covers that unambiguously distinguishes between these patterns. Moreover, our approach provides topological evidence that the FCC motif is the more stable of the two in the context of evolving experimental sphere packings during the transition from disordered to an ordered state. We conclude that our approach can be generalised to distinguish between various Barlow stackings manifested in minerals and metals."}],"project":[{"_id":"266A2E9E-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Alpha Shape Theory Extended","grant_number":"788183"},{"grant_number":"Z00342","_id":"268116B8-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Mathematics, Computer Science"}],"citation":{"apa":"Osang, G. F., Edelsbrunner, H., &#38; Saadatfar, M. (2021). Topological signatures and stability of hexagonal close packing and Barlow stackings. <i>Soft Matter</i>. Royal Society of Chemistry. <a href=\"https://doi.org/10.1039/d1sm00774b\">https://doi.org/10.1039/d1sm00774b</a>","chicago":"Osang, Georg F, Herbert Edelsbrunner, and Mohammad Saadatfar. “Topological Signatures and Stability of Hexagonal Close Packing and Barlow Stackings.” <i>Soft Matter</i>. Royal Society of Chemistry, 2021. <a href=\"https://doi.org/10.1039/d1sm00774b\">https://doi.org/10.1039/d1sm00774b</a>.","ieee":"G. F. Osang, H. Edelsbrunner, and M. Saadatfar, “Topological signatures and stability of hexagonal close packing and Barlow stackings,” <i>Soft Matter</i>, vol. 17, no. 40. Royal Society of Chemistry, pp. 9107–9115, 2021.","short":"G.F. Osang, H. Edelsbrunner, M. Saadatfar, Soft Matter 17 (2021) 9107–9115.","ista":"Osang GF, Edelsbrunner H, Saadatfar M. 2021. Topological signatures and stability of hexagonal close packing and Barlow stackings. Soft Matter. 17(40), 9107–9115.","mla":"Osang, Georg F., et al. “Topological Signatures and Stability of Hexagonal Close Packing and Barlow Stackings.” <i>Soft Matter</i>, vol. 17, no. 40, Royal Society of Chemistry, 2021, pp. 9107–15, doi:<a href=\"https://doi.org/10.1039/d1sm00774b\">10.1039/d1sm00774b</a>.","ama":"Osang GF, Edelsbrunner H, Saadatfar M. Topological signatures and stability of hexagonal close packing and Barlow stackings. <i>Soft Matter</i>. 2021;17(40):9107-9115. doi:<a href=\"https://doi.org/10.1039/d1sm00774b\">10.1039/d1sm00774b</a>"},"page":"9107-9115","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-06T13:55:05Z"},{"month":"08","department":[{"_id":"GradSch"},{"_id":"RoSe"},{"_id":"JaMa"}],"publisher":"Institute of Science and Technology Austria","corr_author":"1","oa":1,"day":"20","file":[{"date_created":"2021-08-19T14:03:48Z","checksum":"e88bb8ca43948abe060eb2d2fa719881","access_level":"open_access","creator":"dfelicia","relation":"main_file","file_id":"9944","date_updated":"2021-09-06T09:28:56Z","content_type":"application/pdf","file_name":"Thesis_FeliciangeliA.pdf","file_size":1958710},{"date_created":"2021-08-19T14:06:35Z","checksum":"72810843abee83705853505b3f8348aa","relation":"source_file","creator":"dfelicia","access_level":"closed","file_id":"9945","file_size":3771669,"content_type":"application/octet-stream","date_updated":"2022-03-10T12:13:57Z","file_name":"thesis.7z"}],"doi":"10.15479/at:ista:9733","year":"2021","publication_status":"published","ddc":["515","519","539"],"tmp":{"image":"/image/cc_by_nd.png","short":"CC BY-ND (4.0)","name":"Creative Commons Attribution-NoDerivatives 4.0 International (CC BY-ND 4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nd/4.0/legalcode"},"fulldoi":"https://doi.org/10.15479/at:ista:9733","degree_awarded":"PhD","article_processing_charge":"No","alternative_title":["ISTA Thesis"],"date_published":"2021-08-20T00:00:00Z","file_date_updated":"2022-03-10T12:13:57Z","has_accepted_license":"1","ec_funded":1,"publication_identifier":{"issn":["2663-337X"]},"language":[{"iso":"eng"}],"OA_place":"publisher","abstract":[{"text":"This thesis is the result of the research carried out by the author during his PhD at IST Austria between 2017 and 2021. It mainly focuses on the Fröhlich polaron model, specifically to its regime of strong coupling. This model, which is rigorously introduced and discussed in the introduction, has been of great interest in condensed matter physics and field theory for more than eighty years. It is used to describe an electron interacting with the atoms of a solid material (the strength of this interaction is modeled by the presence of a coupling constant α in the Hamiltonian of the system). The particular regime examined here, which is mathematically described by considering the limit α →∞, displays many interesting features related to the emergence of classical behavior, which allows for a simplified effective description of the system under analysis. The properties, the range of validity and a quantitative analysis of the precision of such classical approximations are the main object of the present work. We specify our investigation to the study of the ground state energy of the system, its dynamics and its effective mass. For each of these problems, we provide in the introduction an overview of the previously known results and a detailed account of the original contributions by the author.","lang":"eng"}],"oa_version":"Published Version","type":"dissertation","supervisor":[{"id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","last_name":"Seiringer","first_name":"Robert","full_name":"Seiringer, Robert","orcid":"0000-0002-6781-0521"},{"orcid":"0000-0002-0845-1338","full_name":"Maas, Jan","last_name":"Maas","first_name":"Jan","id":"4C5696CE-F248-11E8-B48F-1D18A9856A87"}],"status":"public","author":[{"full_name":"Feliciangeli, Dario","orcid":"0000-0003-0754-8530","id":"41A639AA-F248-11E8-B48F-1D18A9856A87","first_name":"Dario","last_name":"Feliciangeli"}],"date_created":"2021-07-27T15:48:30Z","_id":"9733","title":"The polaron at strong coupling","user_id":"ba8df636-2132-11f1-aed0-ed93e2281fdd","date_updated":"2026-07-06T14:02:25Z","project":[{"_id":"256E75B8-B435-11E9-9278-68D0E5697425","name":"Optimal Transport and Stochastic Dynamics","call_identifier":"H2020","grant_number":"716117"},{"name":"Analysis of quantum many-body systems","call_identifier":"H2020","_id":"25C6DC12-B435-11E9-9278-68D0E5697425","grant_number":"694227"},{"name":"Taming Complexity in Partial Differential Systems","_id":"fc31cba2-9c52-11eb-aca3-ff467d239cd2","grant_number":"F6504"}],"page":"180","citation":{"chicago":"Feliciangeli, Dario. “The Polaron at Strong Coupling.” Institute of Science and Technology Austria, 2021. <a href=\"https://doi.org/10.15479/at:ista:9733\">https://doi.org/10.15479/at:ista:9733</a>.","apa":"Feliciangeli, D. (2021). <i>The polaron at strong coupling</i>. Institute of Science and Technology Austria. <a href=\"https://doi.org/10.15479/at:ista:9733\">https://doi.org/10.15479/at:ista:9733</a>","mla":"Feliciangeli, Dario. <i>The Polaron at Strong Coupling</i>. Institute of Science and Technology Austria, 2021, doi:<a href=\"https://doi.org/10.15479/at:ista:9733\">10.15479/at:ista:9733</a>.","ama":"Feliciangeli D. The polaron at strong coupling. 2021. doi:<a href=\"https://doi.org/10.15479/at:ista:9733\">10.15479/at:ista:9733</a>","ieee":"D. Feliciangeli, “The polaron at strong coupling,” Institute of Science and Technology Austria, 2021.","ista":"Feliciangeli D. 2021. The polaron at strong coupling. Institute of Science and Technology Austria.","short":"D. Feliciangeli, The Polaron at Strong Coupling, Institute of Science and Technology Austria, 2021."},"related_material":{"record":[{"status":"public","relation":"part_of_dissertation","id":"9787"},{"status":"public","relation":"part_of_dissertation","id":"9792"},{"id":"9791","relation":"part_of_dissertation","status":"public"},{"status":"public","relation":"part_of_dissertation","id":"9225"},{"relation":"part_of_dissertation","id":"9781","status":"public"}]},"license":"https://creativecommons.org/licenses/by-nd/4.0/"},{"article_processing_charge":"Yes (via OA deal)","date_published":"2021-10-25T00:00:00Z","file_date_updated":"2023-08-14T11:55:10Z","has_accepted_license":"1","arxiv":1,"fulldoi":"https://doi.org/10.1080/10586458.2021.1980459","das_tickbox":"1","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"ddc":["510"],"quality_controlled":"1","year":"2021","publication_status":"published","isi":1,"file":[{"file_id":"14053","date_updated":"2023-08-14T11:55:10Z","content_type":"application/pdf","file_name":"2023_ExperimentalMath_Akopyan.pdf","file_size":1966019,"success":1,"checksum":"3514382e3a1eb87fa6c61ad622874415","date_created":"2023-08-14T11:55:10Z","access_level":"open_access","creator":"dernst","relation":"main_file"}],"doi":"10.1080/10586458.2021.1980459","corr_author":"1","oa":1,"day":"25","month":"10","department":[{"_id":"HeEd"}],"publisher":"Taylor & Francis","external_id":{"arxiv":["2007.07783"],"isi":["000710893500001"]},"project":[{"_id":"266A2E9E-B435-11E9-9278-68D0E5697425","name":"Alpha Shape Theory Extended","call_identifier":"H2020","grant_number":"788183"},{"grant_number":"Z00342","_id":"268116B8-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Mathematics, Computer Science"},{"grant_number":"I4887","_id":"0aa4bc98-070f-11eb-9043-e6fff9c6a316","name":"Persistent Homology, Algorithms and Stochastic Geometry"},{"name":"Persistence and stability of geometric complexes","call_identifier":"FWF","_id":"2561EBF4-B435-11E9-9278-68D0E5697425","grant_number":"I02979-N35"}],"citation":{"mla":"Akopyan, Arseniy, et al. “The Beauty of Random Polytopes Inscribed in the 2-Sphere.” <i>Experimental Mathematics</i>, Taylor &#38; Francis, 2021, pp. 1–15, doi:<a href=\"https://doi.org/10.1080/10586458.2021.1980459\">10.1080/10586458.2021.1980459</a>.","ama":"Akopyan A, Edelsbrunner H, Nikitenko A. The beauty of random polytopes inscribed in the 2-sphere. <i>Experimental Mathematics</i>. 2021:1-15. doi:<a href=\"https://doi.org/10.1080/10586458.2021.1980459\">10.1080/10586458.2021.1980459</a>","short":"A. Akopyan, H. Edelsbrunner, A. Nikitenko, Experimental Mathematics (2021) 1–15.","ieee":"A. Akopyan, H. Edelsbrunner, and A. Nikitenko, “The beauty of random polytopes inscribed in the 2-sphere,” <i>Experimental Mathematics</i>. Taylor &#38; Francis, pp. 1–15, 2021.","ista":"Akopyan A, Edelsbrunner H, Nikitenko A. 2021. The beauty of random polytopes inscribed in the 2-sphere. Experimental Mathematics., 1–15.","chicago":"Akopyan, Arseniy, Herbert Edelsbrunner, and Anton Nikitenko. “The Beauty of Random Polytopes Inscribed in the 2-Sphere.” <i>Experimental Mathematics</i>. Taylor &#38; Francis, 2021. <a href=\"https://doi.org/10.1080/10586458.2021.1980459\">https://doi.org/10.1080/10586458.2021.1980459</a>.","apa":"Akopyan, A., Edelsbrunner, H., &#38; Nikitenko, A. (2021). The beauty of random polytopes inscribed in the 2-sphere. <i>Experimental Mathematics</i>. Taylor &#38; Francis. <a href=\"https://doi.org/10.1080/10586458.2021.1980459\">https://doi.org/10.1080/10586458.2021.1980459</a>"},"page":"1-15","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-07T05:33:35Z","status":"public","date_created":"2021-11-07T23:01:25Z","author":[{"first_name":"Arseniy","last_name":"Akopyan","id":"430D2C90-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2548-617X","full_name":"Akopyan, Arseniy"},{"orcid":"0000-0002-9823-6833","full_name":"Edelsbrunner, Herbert","id":"3FB178DA-F248-11E8-B48F-1D18A9856A87","last_name":"Edelsbrunner","first_name":"Herbert"},{"orcid":"0000-0002-0659-3201","full_name":"Nikitenko, Anton","first_name":"Anton","last_name":"Nikitenko","id":"3E4FF1BA-F248-11E8-B48F-1D18A9856A87"}],"_id":"10222","title":"The beauty of random polytopes inscribed in the 2-sphere","abstract":[{"lang":"eng","text":"Consider a random set of points on the unit sphere in ℝd, which can be either uniformly sampled or a Poisson point process. Its convex hull is a random inscribed polytope, whose boundary approximates the sphere. We focus on the case d = 3, for which there are elementary proofs and fascinating formulas for metric properties. In particular, we study the fraction of acute facets, the expected intrinsic volumes, the total edge length, and the distance to a fixed point. Finally we generalize the results to the ellipsoid with homeoid density."}],"article_type":"original","type":"journal_article","oa_version":"Published Version","language":[{"iso":"eng"}],"scopus_import":"1","publication":"Experimental Mathematics","publication_identifier":{"eissn":["1944-950X"],"issn":["1058-6458"]},"acknowledgement":"This project has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme, grant no. 788183, from the Wittgenstein Prize, Austrian Science Fund (FWF), grant no. Z 342-N31, and from the DFG Collaborative Research Center TRR 109, ‘Discretization in Geometry and Dynamics’, Austrian Science Fund (FWF), grant no. I 02979-N35.\r\nWe are grateful to Dmitry Zaporozhets and Christoph Thäle for valuable comments and for directing us to relevant references. We also thank to Anton Mellit for a useful discussion on Bessel functions.","ec_funded":1},{"isi":1,"file":[{"content_type":"application/pdf","date_updated":"2021-03-22T08:15:28Z","file_name":"2021_OpticsExpress_Elek.pdf","file_size":10873700,"file_id":"9269","access_level":"open_access","creator":"dernst","relation":"main_file","success":1,"checksum":"a9697ad83136c19ad87e46aa2db63cfd","date_created":"2021-03-22T08:15:28Z"}],"doi":"10.1364/OE.406095","volume":29,"oa":1,"day":"01","department":[{"_id":"BeBi"}],"month":"03","publisher":"Optica Publishing Group","external_id":{"isi":["000624968100103"]},"article_processing_charge":"No","date_published":"2021-03-01T00:00:00Z","file_date_updated":"2021-03-22T08:15:28Z","has_accepted_license":"1","fulldoi":"https://doi.org/10.1364/OE.406095","tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"ddc":["000"],"intvolume":"        29","year":"2021","quality_controlled":"1","publication_status":"published","language":[{"iso":"eng"}],"issue":"5","scopus_import":"1","publication":"Optics Express","acknowledgement":"H2020 Marie Skłodowska-Curie Actions (642841); European Research Council (715767); Grantová Agentura České Republiky (16-08111S, 16-18964S); Univerzita Karlova v Praze (SVV-2017-260452); Engineering and Physical Sciences Research Council (EP/K023578/1).\r\nWe are grateful to Stratasys Ltd. for access to the voxel-level print interface of the J750\r\nmachine.","ec_funded":1,"publication_identifier":{"eissn":["1094-4087"]},"project":[{"_id":"2508E324-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Distributed 3D Object Design","grant_number":"642841"},{"grant_number":"715767","_id":"24F9549A-B435-11E9-9278-68D0E5697425","name":"MATERIALIZABLE: Intelligent fabrication-oriented Computational Design and Modeling","call_identifier":"H2020"}],"citation":{"chicago":"Elek, Oskar, Ran Zhang, Denis Sumin, Karol Myszkowski, Bernd Bickel, Alexander Wilkie, Jaroslav Křivánek, and Tim Weyrich. “Robust and Practical Measurement of Volume Transport Parameters in Solid Photo-Polymer Materials for 3D Printing.” <i>Optics Express</i>. Optica Publishing Group, 2021. <a href=\"https://doi.org/10.1364/OE.406095\">https://doi.org/10.1364/OE.406095</a>.","apa":"Elek, O., Zhang, R., Sumin, D., Myszkowski, K., Bickel, B., Wilkie, A., … Weyrich, T. (2021). Robust and practical measurement of volume transport parameters in solid photo-polymer materials for 3D printing. <i>Optics Express</i>. Optica Publishing Group. <a href=\"https://doi.org/10.1364/OE.406095\">https://doi.org/10.1364/OE.406095</a>","ama":"Elek O, Zhang R, Sumin D, et al. Robust and practical measurement of volume transport parameters in solid photo-polymer materials for 3D printing. <i>Optics Express</i>. 2021;29(5):7568-7588. doi:<a href=\"https://doi.org/10.1364/OE.406095\">10.1364/OE.406095</a>","mla":"Elek, Oskar, et al. “Robust and Practical Measurement of Volume Transport Parameters in Solid Photo-Polymer Materials for 3D Printing.” <i>Optics Express</i>, vol. 29, no. 5, Optica Publishing Group, 2021, pp. 7568–88, doi:<a href=\"https://doi.org/10.1364/OE.406095\">10.1364/OE.406095</a>.","short":"O. Elek, R. Zhang, D. Sumin, K. Myszkowski, B. Bickel, A. Wilkie, J. Křivánek, T. Weyrich, Optics Express 29 (2021) 7568–7588.","ista":"Elek O, Zhang R, Sumin D, Myszkowski K, Bickel B, Wilkie A, Křivánek J, Weyrich T. 2021. Robust and practical measurement of volume transport parameters in solid photo-polymer materials for 3D printing. Optics Express. 29(5), 7568–7588.","ieee":"O. Elek <i>et al.</i>, “Robust and practical measurement of volume transport parameters in solid photo-polymer materials for 3D printing,” <i>Optics Express</i>, vol. 29, no. 5. Optica Publishing Group, pp. 7568–7588, 2021."},"page":"7568-7588","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-07T05:54:53Z","author":[{"full_name":"Elek, Oskar","last_name":"Elek","first_name":"Oskar"},{"id":"4DDBCEB0-F248-11E8-B48F-1D18A9856A87","first_name":"Ran","last_name":"Zhang","full_name":"Zhang, Ran","orcid":"0000-0002-3808-281X"},{"first_name":"Denis","last_name":"Sumin","full_name":"Sumin, Denis"},{"first_name":"Karol","last_name":"Myszkowski","full_name":"Myszkowski, Karol"},{"orcid":"0000-0001-6511-9385","full_name":"Bickel, Bernd","last_name":"Bickel","first_name":"Bernd","id":"49876194-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Alexander","last_name":"Wilkie","full_name":"Wilkie, Alexander"},{"full_name":"Křivánek, Jaroslav","first_name":"Jaroslav","last_name":"Křivánek"},{"full_name":"Weyrich, Tim","last_name":"Weyrich","first_name":"Tim"}],"date_created":"2021-03-14T23:01:33Z","status":"public","_id":"9241","title":"Robust and practical measurement of volume transport parameters in solid photo-polymer materials for 3D printing","abstract":[{"text":"Volumetric light transport is a pervasive physical phenomenon, and therefore its accurate simulation is important for a broad array of disciplines. While suitable mathematical models for computing the transport are now available, obtaining the necessary material parameters needed to drive such simulations is a challenging task: direct measurements of these parameters from material samples are seldom possible. Building on the inverse scattering paradigm, we present a novel measurement approach which indirectly infers the transport parameters from extrinsic observations of multiple-scattered radiance. The novelty of the proposed approach lies in replacing structured illumination with a structured reflector bonded to the sample, and a robust fitting procedure that largely compensates for potential systematic errors in the calibration of the setup. We show the feasibility of our approach by validating simulations of complex 3D compositions of the measured materials against physical prints, using photo-polymer resins. As presented in this paper, our technique yields colorspace data suitable for accurate appearance reproduction in the area of 3D printing. Beyond that, and without fundamental changes to the basic measurement methodology, it could equally well be used to obtain spectral measurements that are useful for other application areas.","lang":"eng"}],"article_type":"original","type":"journal_article","oa_version":"Published Version"},{"has_accepted_license":"1","conference":{"location":"Xi'an, China","name":"ICRA: International Conference on Robotics and Automation","start_date":"2021-05-30","end_date":"2021-06-05"},"date_published":"2021-06-01T00:00:00Z","article_processing_charge":"No","das_tickbox":"1","fulldoi":"https://doi.org/10.1109/ICRA48506.2021.9561036","main_file_link":[{"url":"https://arxiv.org/abs/2103.08187","open_access":"1"}],"arxiv":1,"ddc":["000"],"tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0)","short":"CC BY-NC-ND (3.0)","image":"/images/cc_by_nc_nd.png"},"publication_status":"published","quality_controlled":"1","year":"2021","isi":1,"doi":"10.1109/ICRA48506.2021.9561036","day":"01","oa":1,"external_id":{"isi":["000765738803040"],"arxiv":["2103.08187"]},"publisher":"IEEE","month":"06","department":[{"_id":"GradSch"},{"_id":"ToHe"}],"license":"https://creativecommons.org/licenses/by-nc-nd/3.0/","related_material":{"record":[{"status":"public","id":"11362","relation":"dissertation_contains"}]},"page":"4140-4147","citation":{"ista":"Lechner M, Hasani R, Grosu R, Rus D, Henzinger TA. 2021. Adversarial training is not ready for robot learning. 2021 IEEE International Conference on Robotics and Automation. ICRA: International Conference on Robotics and Automation, 4140–4147.","ieee":"M. Lechner, R. Hasani, R. Grosu, D. Rus, and T. A. Henzinger, “Adversarial training is not ready for robot learning,” in <i>2021 IEEE International Conference on Robotics and Automation</i>, Xi’an, China, 2021, pp. 4140–4147.","short":"M. Lechner, R. Hasani, R. Grosu, D. Rus, T.A. Henzinger, in:, 2021 IEEE International Conference on Robotics and Automation, IEEE, 2021, pp. 4140–4147.","ama":"Lechner M, Hasani R, Grosu R, Rus D, Henzinger TA. Adversarial training is not ready for robot learning. In: <i>2021 IEEE International Conference on Robotics and Automation</i>. IEEE; 2021:4140-4147. doi:<a href=\"https://doi.org/10.1109/ICRA48506.2021.9561036\">10.1109/ICRA48506.2021.9561036</a>","mla":"Lechner, Mathias, et al. “Adversarial Training Is Not Ready for Robot Learning.” <i>2021 IEEE International Conference on Robotics and Automation</i>, IEEE, 2021, pp. 4140–47, doi:<a href=\"https://doi.org/10.1109/ICRA48506.2021.9561036\">10.1109/ICRA48506.2021.9561036</a>.","apa":"Lechner, M., Hasani, R., Grosu, R., Rus, D., &#38; Henzinger, T. A. (2021). Adversarial training is not ready for robot learning. In <i>2021 IEEE International Conference on Robotics and Automation</i> (pp. 4140–4147). Xi’an, China: IEEE. <a href=\"https://doi.org/10.1109/ICRA48506.2021.9561036\">https://doi.org/10.1109/ICRA48506.2021.9561036</a>","chicago":"Lechner, Mathias, Ramin Hasani, Radu Grosu, Daniela Rus, and Thomas A Henzinger. “Adversarial Training Is Not Ready for Robot Learning.” In <i>2021 IEEE International Conference on Robotics and Automation</i>, 4140–47. IEEE, 2021. <a href=\"https://doi.org/10.1109/ICRA48506.2021.9561036\">https://doi.org/10.1109/ICRA48506.2021.9561036</a>."},"project":[{"_id":"25F42A32-B435-11E9-9278-68D0E5697425","call_identifier":"FWF","name":"Formal methods for the design and analysis of complex systems","grant_number":"Z211"}],"date_updated":"2026-07-07T06:20:35Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Adversarial training is not ready for robot learning","_id":"10666","date_created":"2022-01-25T15:44:54Z","status":"public","author":[{"first_name":"Mathias","last_name":"Lechner","id":"3DC22916-F248-11E8-B48F-1D18A9856A87","full_name":"Lechner, Mathias"},{"first_name":"Ramin","last_name":"Hasani","full_name":"Hasani, Ramin"},{"last_name":"Grosu","first_name":"Radu","full_name":"Grosu, Radu"},{"first_name":"Daniela","last_name":"Rus","full_name":"Rus, Daniela"},{"orcid":"0000-0002-2985-7724","full_name":"Henzinger, Thomas A","id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger","first_name":"Thomas A"}],"type":"conference","oa_version":"Preprint","abstract":[{"text":"Adversarial training is an effective method to train deep learning models that are resilient to norm-bounded perturbations, with the cost of nominal performance drop. While adversarial training appears to enhance the robustness and safety of a deep model deployed in open-world decision-critical applications, counterintuitively, it induces undesired behaviors in robot learning settings. In this paper, we show theoretically and experimentally that neural controllers obtained via adversarial training are subjected to three types of defects, namely transient, systematic, and conditional errors. We first generalize adversarial training to a safety-domain optimization scheme allowing for more generic specifications. We then prove that such a learning process tends to cause certain error profiles. We support our theoretical results by a thorough experimental safety analysis in a robot-learning task. Our results suggest that adversarial training is not yet ready for robot learning.","lang":"eng"}],"OA_type":"green","OA_place":"repository","language":[{"iso":"eng"}],"publication":"2021 IEEE International Conference on Robotics and Automation","scopus_import":"1","publication_identifier":{"isbn":["978-1-7281-9078-5"],"eisbn":["978-1-7281-9077-8"],"issn":["1050-4729"],"eissn":["2577-087X"]},"acknowledgement":"M.L. and T.A.H. are supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). R.H. and D.R. are supported by Boeing and R.G. by Horizon-2020 ECSEL Project grant no. 783163 (iDev40)."},{"external_id":{"arxiv":["2005.07761"]},"month":"07","department":[{"_id":"DaAl"}],"publisher":"Association for Computing Machinery","day":"06","oa":1,"doi":"10.1145/3409964.3461785","year":"2021","quality_controlled":"1","publication_status":"published","fulldoi":"https://doi.org/10.1145/3409964.3461785","das_tickbox":"1","arxiv":1,"main_file_link":[{"url":"https://arxiv.org/abs/2005.07761","open_access":"1"}],"date_published":"2021-07-06T00:00:00Z","conference":{"location":" Virtual Event, United States","end_date":"2021-07-08","start_date":"2021-07-06","name":"SPAA: Symposium on Parallelism in Algorithms and Architectures "},"article_processing_charge":"No","ec_funded":1,"publication_identifier":{"isbn":["9781450380706"]},"acknowledgement":"We thank Orr Fischer, Juho Hirvonen, and Tuomo Lempiäinen for valuable discussions. This project has received funding from the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie grant agreement No. 840605.","publication":"Annual ACM Symposium on Parallelism in Algorithms and Architectures","scopus_import":"1","language":[{"iso":"eng"}],"oa_version":"Preprint","type":"conference","abstract":[{"text":"We introduce a new graph problem, the token dropping game, and we show how to solve it efficiently in a distributed setting. We use the token dropping game as a tool to design an efficient distributed algorithm for stable orientations and more generally for locally optimal semi-matchings. The prior work by Czygrinow et al. (DISC 2012) finds a stable orientation in O(Δ^5) rounds in graphs of maximum degree Δ, while we improve it to O(Δ^4) and also prove a lower bound of Ω(Δ). For the more general problem of locally optimal semi-matchings, the prior upper bound is O(S^5) and our new algorithm runs in O(C · S^4) rounds, which is an improvement for C = o(S); here C and S are the maximum degrees of customers and servers, respectively.","lang":"eng"}],"_id":"9678","title":"Efficient load-balancing through distributed token dropping","status":"public","date_created":"2021-07-18T22:01:22Z","author":[{"full_name":"Brandt, Sebastian","first_name":"Sebastian","last_name":"Brandt"},{"first_name":"Barbara","last_name":"Keller","full_name":"Keller, Barbara"},{"orcid":"0000-0002-6432-6646","full_name":"Rybicki, Joel","id":"334EFD2E-F248-11E8-B48F-1D18A9856A87","last_name":"Rybicki","first_name":"Joel"},{"first_name":"Jukka","last_name":"Suomela","full_name":"Suomela, Jukka"},{"last_name":"Uitto","first_name":"Jara","full_name":"Uitto, Jara"}],"user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-07T06:21:32Z","related_material":{"record":[{"status":"public","relation":"earlier_version","id":"15074"}]},"project":[{"grant_number":"840605","call_identifier":"H2020","name":"Coordination in constrained and natural distributed systems","_id":"26A5D39A-B435-11E9-9278-68D0E5697425"}],"page":"129-139","citation":{"ama":"Brandt S, Keller B, Rybicki J, Suomela J, Uitto J. 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SPAA: Symposium on Parallelism in Algorithms and Architectures , 129–139.","ieee":"S. Brandt, B. Keller, J. Rybicki, J. Suomela, and J. Uitto, “Efficient load-balancing through distributed token dropping,” in <i>Annual ACM Symposium on Parallelism in Algorithms and Architectures</i>,  Virtual Event, United States, 2021, pp. 129–139.","chicago":"Brandt, Sebastian, Barbara Keller, Joel Rybicki, Jukka Suomela, and Jara Uitto. “Efficient Load-Balancing through Distributed Token Dropping.” In <i>Annual ACM Symposium on Parallelism in Algorithms and Architectures</i>, 129–39. Association for Computing Machinery, 2021. <a href=\"https://doi.org/10.1145/3409964.3461785\">https://doi.org/10.1145/3409964.3461785</a>.","apa":"Brandt, S., Keller, B., Rybicki, J., Suomela, J., &#38; Uitto, J. (2021). Efficient load-balancing through distributed token dropping. In <i>Annual ACM Symposium on Parallelism in Algorithms and Architectures</i> (pp. 129–139).  Virtual Event, United States: Association for Computing Machinery. <a href=\"https://doi.org/10.1145/3409964.3461785\">https://doi.org/10.1145/3409964.3461785</a>"}},{"das_tickbox":"1","fulldoi":"https://doi.org/10.48550/arXiv.2111.03165","main_file_link":[{"open_access":"1","url":"https://proceedings.neurips.cc/paper/2021/hash/544defa9fddff50c53b71c43e0da72be-Abstract.html"}],"arxiv":1,"has_accepted_license":"1","conference":{"name":"NeurIPS: Neural Information Processing Systems","start_date":"2021-12-06","end_date":"2021-12-10","location":"Virtual"},"alternative_title":[" Advances in Neural Information Processing Systems"],"date_published":"2021-12-01T00:00:00Z","file_date_updated":"2022-01-26T07:39:59Z","article_processing_charge":"No","publication_status":"published","year":"2021","quality_controlled":"1","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0)","short":"CC BY-NC-ND (3.0)","image":"/images/cc_by_nc_nd.png"},"ddc":["000"],"doi":"10.48550/arXiv.2111.03165","file":[{"file_id":"10682","file_size":452492,"file_name":"infinite_time_horizon_safety_o.pdf","date_updated":"2022-01-26T07:39:59Z","content_type":"application/pdf","checksum":"0fc0f852525c10dda9cc9ffea07fb4e4","date_created":"2022-01-26T07:39:59Z","success":1,"creator":"mlechner","relation":"main_file","access_level":"open_access"}],"external_id":{"arxiv":["2111.03165"]},"publisher":"Neural Information Processing Systems Foundation","month":"12","department":[{"_id":"GradSch"},{"_id":"ToHe"},{"_id":"KrCh"}],"day":"01","oa":1,"corr_author":"1","date_updated":"2026-07-07T06:49:10Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","related_material":{"record":[{"id":"11362","relation":"dissertation_contains","status":"public"}]},"citation":{"chicago":"Lechner, Mathias, Ðorđe Žikelić, Krishnendu Chatterjee, and Thomas A Henzinger. “Infinite Time Horizon Safety of Bayesian Neural Networks.” In <i>35th Conference on Neural Information Processing Systems</i>. Neural Information Processing Systems Foundation, 2021. <a href=\"https://doi.org/10.48550/arXiv.2111.03165\">https://doi.org/10.48550/arXiv.2111.03165</a>.","apa":"Lechner, M., Žikelić, Ð., Chatterjee, K., &#38; Henzinger, T. A. (2021). Infinite time horizon safety of Bayesian neural networks. In <i>35th Conference on Neural Information Processing Systems</i>. Virtual: Neural Information Processing Systems Foundation. <a href=\"https://doi.org/10.48550/arXiv.2111.03165\">https://doi.org/10.48550/arXiv.2111.03165</a>","mla":"Lechner, Mathias, et al. “Infinite Time Horizon Safety of Bayesian Neural Networks.” <i>35th Conference on Neural Information Processing Systems</i>, Neural Information Processing Systems Foundation, 2021, doi:<a href=\"https://doi.org/10.48550/arXiv.2111.03165\">10.48550/arXiv.2111.03165</a>.","ama":"Lechner M, Žikelić Ð, Chatterjee K, Henzinger TA. Infinite time horizon safety of Bayesian neural networks. In: <i>35th Conference on Neural Information Processing Systems</i>. Neural Information Processing Systems Foundation; 2021. doi:<a href=\"https://doi.org/10.48550/arXiv.2111.03165\">10.48550/arXiv.2111.03165</a>","ista":"Lechner M, Žikelić Ð, Chatterjee K, Henzinger TA. 2021. Infinite time horizon safety of Bayesian neural networks. 35th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems,  Advances in Neural Information Processing Systems, .","ieee":"M. Lechner, Ð. Žikelić, K. Chatterjee, and T. A. Henzinger, “Infinite time horizon safety of Bayesian neural networks,” in <i>35th Conference on Neural Information Processing Systems</i>, Virtual, 2021.","short":"M. Lechner, Ð. Žikelić, K. Chatterjee, T.A. Henzinger, in:, 35th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2021."},"project":[{"grant_number":"665385","_id":"2564DBCA-B435-11E9-9278-68D0E5697425","name":"International IST Doctoral Program","call_identifier":"H2020"},{"_id":"0599E47C-7A3F-11EA-A408-12923DDC885E","name":"Formal Methods for Stochastic Models: Algorithms and Applications","call_identifier":"H2020","grant_number":"863818"},{"grant_number":"Z211","name":"Formal methods for the design and analysis of complex systems","call_identifier":"FWF","_id":"25F42A32-B435-11E9-9278-68D0E5697425"}],"type":"conference","oa_version":"Published Version","abstract":[{"lang":"eng","text":"Bayesian neural networks (BNNs) place distributions over the weights of a neural network to model uncertainty in the data and the network's prediction. We consider the problem of verifying safety when running a Bayesian neural network policy in a feedback loop with infinite time horizon systems. Compared to the existing sampling-based approaches, which are inapplicable to the infinite time horizon setting, we train a separate deterministic neural network that serves as an infinite time horizon safety certificate. In particular, we show that the certificate network guarantees the safety of the system over a subset of the BNN weight posterior's support. Our method first computes a safe weight set and then alters the BNN's weight posterior to reject samples outside this set. Moreover, we show how to extend our approach to a safe-exploration reinforcement learning setting, in order to avoid unsafe trajectories during the training of the policy. We evaluate our approach on a series of reinforcement learning benchmarks, including non-Lyapunovian safety specifications."}],"title":"Infinite time horizon safety of Bayesian neural networks","_id":"10667","status":"public","date_created":"2022-01-25T15:45:58Z","author":[{"full_name":"Lechner, Mathias","last_name":"Lechner","first_name":"Mathias","id":"3DC22916-F248-11E8-B48F-1D18A9856A87"},{"first_name":"Ðorđe","last_name":"Žikelić","full_name":"Žikelić, Ðorđe"},{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","last_name":"Chatterjee","first_name":"Krishnendu","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87"},{"id":"40876CD8-F248-11E8-B48F-1D18A9856A87","last_name":"Henzinger","first_name":"Thomas A","full_name":"Henzinger, Thomas A","orcid":"0000-0002-2985-7724"}],"language":[{"iso":"eng"}],"ec_funded":1,"publication_identifier":{"issn":["1049-5258"]},"acknowledgement":"This research was supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award), ERC CoG 863818 (FoRM-SMArt), and the European Union’s Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie Grant Agreement No. 665385.","publication":"35th Conference on Neural Information Processing Systems"},{"publication_status":"published","quality_controlled":"1","year":"2021","tmp":{"legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/3.0/legalcode","name":"Creative Commons Attribution-NonCommercial-NoDerivs 3.0 Unported (CC BY-NC-ND 3.0)","short":"CC BY-NC-ND (3.0)","image":"/images/cc_by_nc_nd.png"},"ddc":["000"],"das_tickbox":"1","main_file_link":[{"open_access":"1","url":"https://proceedings.neurips.cc/paper/2021/hash/67ba02d73c54f0b83c05507b7fb7267f-Abstract.html"}],"arxiv":1,"has_accepted_license":"1","conference":{"location":"Virtual","start_date":"2021-12-06","end_date":"2021-12-10","name":"NeurIPS: Neural Information Processing Systems"},"file_date_updated":"2022-01-26T07:37:24Z","alternative_title":[" Advances in Neural Information Processing Systems"],"date_published":"2021-12-01T00:00:00Z","article_processing_charge":"No","external_id":{"arxiv":["2106.08314"]},"publisher":"Neural Information Processing Systems Foundation","month":"12","department":[{"_id":"GradSch"},{"_id":"ToHe"}],"day":"01","oa":1,"file":[{"file_name":"NeurIPS-2021-causal-navigation-by-continuous-time-neural-networks-Paper.pdf","content_type":"application/pdf","date_updated":"2022-01-26T07:37:24Z","file_size":6841228,"file_id":"10679","access_level":"open_access","relation":"main_file","creator":"mlechner","success":1,"date_created":"2022-01-26T07:37:24Z","checksum":"be81f0ade174a8c9b2d4fe09590b2021"}],"type":"conference","oa_version":"Published Version","abstract":[{"text":"Imitation learning enables high-fidelity, vision-based learning of policies within rich, photorealistic environments. However, such techniques often rely on traditional discrete-time neural models and face difficulties in generalizing to domain shifts by failing to account for the causal relationships between the agent and the environment. In this paper, we propose a theoretical and experimental framework for learning causal representations using continuous-time neural networks, specifically over their discrete-time counterparts. We evaluate our method in the context of visual-control learning of drones over a series of complex tasks, ranging from short- and long-term navigation, to chasing static and dynamic objects through photorealistic environments. Our results demonstrate that causal continuous-time\r\ndeep models can perform robust navigation tasks, where advanced recurrent models fail. These models learn complex causal control representations directly from raw visual inputs and scale to solve a variety of tasks using imitation learning.","lang":"eng"}],"title":"Causal navigation by continuous-time neural networks","_id":"10670","date_created":"2022-01-25T15:47:50Z","status":"public","author":[{"full_name":"Vorbach, Charles J","first_name":"Charles J","last_name":"Vorbach"},{"full_name":"Hasani, Ramin","first_name":"Ramin","last_name":"Hasani"},{"full_name":"Amini, Alexander","first_name":"Alexander","last_name":"Amini"},{"last_name":"Lechner","first_name":"Mathias","id":"3DC22916-F248-11E8-B48F-1D18A9856A87","full_name":"Lechner, Mathias"},{"full_name":"Rus, Daniela","last_name":"Rus","first_name":"Daniela"}],"date_updated":"2026-07-07T06:49:46Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"short":"C.J. Vorbach, R. Hasani, A. Amini, M. Lechner, D. Rus, in:, 35th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2021.","ista":"Vorbach CJ, Hasani R, Amini A, Lechner M, Rus D. 2021. Causal navigation by continuous-time neural networks. 35th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems,  Advances in Neural Information Processing Systems, .","ieee":"C. J. Vorbach, R. Hasani, A. Amini, M. Lechner, and D. Rus, “Causal navigation by continuous-time neural networks,” in <i>35th Conference on Neural Information Processing Systems</i>, Virtual, 2021.","mla":"Vorbach, Charles J., et al. “Causal Navigation by Continuous-Time Neural Networks.” <i>35th Conference on Neural Information Processing Systems</i>, Neural Information Processing Systems Foundation, 2021.","ama":"Vorbach CJ, Hasani R, Amini A, Lechner M, Rus D. Causal navigation by continuous-time neural networks. In: <i>35th Conference on Neural Information Processing Systems</i>. Neural Information Processing Systems Foundation; 2021.","apa":"Vorbach, C. J., Hasani, R., Amini, A., Lechner, M., &#38; Rus, D. (2021). Causal navigation by continuous-time neural networks. In <i>35th Conference on Neural Information Processing Systems</i>. Virtual: Neural Information Processing Systems Foundation.","chicago":"Vorbach, Charles J, Ramin Hasani, Alexander Amini, Mathias Lechner, and Daniela Rus. “Causal Navigation by Continuous-Time Neural Networks.” In <i>35th Conference on Neural Information Processing Systems</i>. Neural Information Processing Systems Foundation, 2021."},"project":[{"grant_number":"Z211","name":"Formal methods for the design and analysis of complex systems","call_identifier":"FWF","_id":"25F42A32-B435-11E9-9278-68D0E5697425"}],"acknowledgement":"C.V., R.H. A.A. and D.R. are partially supported by Boeing and MIT. A.A. is supported by the National Science Foundation (NSF) Graduate Research Fellowship Program. M.L. is supported in part by the Austrian Science Fund (FWF) under grant Z211-N23 (Wittgenstein Award). Research was sponsored by the United States Air Force Research Laboratory and the United States Air Force Artificial Intelligence Accelerator and was accomplished under Cooperative Agreement Number FA8750-19-2-1000. The views and conclusions contained in this document are those of the authors\r\nand should not be interpreted as representing the official policies, either expressed or implied, of the United States Air Force or the U.S. Government. The U.S. Government is authorized to reproduce and distribute reprints for Government purposes notwithstanding any copyright notation herein.\r\n","publication_identifier":{"issn":["1049-5258"]},"publication":"35th Conference on Neural Information Processing Systems","language":[{"iso":"eng"}]},{"isi":1,"article_number":"103499","volume":297,"doi":"10.1016/j.artint.2021.103499","day":"16","corr_author":"1","oa":1,"external_id":{"arxiv":["1804.07031"],"isi":["000657537500003"]},"publisher":"Elsevier","department":[{"_id":"KrCh"}],"month":"03","date_published":"2021-03-16T00:00:00Z","article_processing_charge":"No","fulldoi":"https://doi.org/10.1016/j.artint.2021.103499","main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1804.07031"}],"arxiv":1,"publication_status":"published","quality_controlled":"1","year":"2021","intvolume":"       297","language":[{"iso":"eng"}],"publication":"Artificial Intelligence","scopus_import":"1","issue":"8","publication_identifier":{"issn":["0004-3702"]},"related_material":{"record":[{"status":"public","relation":"earlier_version","id":"35"}]},"citation":{"ieee":"K. Chatterjee, W. Dvořák, M. Henzinger, and A. Svozil, “Algorithms and conditional lower bounds for planning problems,” <i>Artificial Intelligence</i>, vol. 297, no. 8. Elsevier, 2021.","ista":"Chatterjee K, Dvořák W, Henzinger M, Svozil A. 2021. Algorithms and conditional lower bounds for planning problems. Artificial Intelligence. 297(8), 103499.","short":"K. Chatterjee, W. Dvořák, M. Henzinger, A. Svozil, Artificial Intelligence 297 (2021).","ama":"Chatterjee K, Dvořák W, Henzinger M, Svozil A. Algorithms and conditional lower bounds for planning problems. <i>Artificial Intelligence</i>. 2021;297(8). doi:<a href=\"https://doi.org/10.1016/j.artint.2021.103499\">10.1016/j.artint.2021.103499</a>","mla":"Chatterjee, Krishnendu, et al. “Algorithms and Conditional Lower Bounds for Planning Problems.” <i>Artificial Intelligence</i>, vol. 297, no. 8, 103499, Elsevier, 2021, doi:<a href=\"https://doi.org/10.1016/j.artint.2021.103499\">10.1016/j.artint.2021.103499</a>.","apa":"Chatterjee, K., Dvořák, W., Henzinger, M., &#38; Svozil, A. (2021). Algorithms and conditional lower bounds for planning problems. <i>Artificial Intelligence</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.artint.2021.103499\">https://doi.org/10.1016/j.artint.2021.103499</a>","chicago":"Chatterjee, Krishnendu, Wolfgang Dvořák, Monika Henzinger, and Alexander Svozil. “Algorithms and Conditional Lower Bounds for Planning Problems.” <i>Artificial Intelligence</i>. Elsevier, 2021. <a href=\"https://doi.org/10.1016/j.artint.2021.103499\">https://doi.org/10.1016/j.artint.2021.103499</a>."},"date_updated":"2026-07-07T13:36:04Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Algorithms and conditional lower bounds for planning problems","_id":"9293","author":[{"full_name":"Chatterjee, Krishnendu","orcid":"0000-0002-4561-241X","id":"2E5DCA20-F248-11E8-B48F-1D18A9856A87","first_name":"Krishnendu","last_name":"Chatterjee"},{"full_name":"Dvořák, Wolfgang","first_name":"Wolfgang","last_name":"Dvořák"},{"full_name":"Henzinger, Monika H","orcid":"0000-0002-5008-6530","last_name":"Henzinger","first_name":"Monika H","id":"540c9bbd-f2de-11ec-812d-d04a5be85630"},{"full_name":"Svozil, Alexander","last_name":"Svozil","first_name":"Alexander"}],"status":"public","date_created":"2021-03-28T22:01:40Z","oa_version":"Preprint","type":"journal_article","article_type":"original","abstract":[{"lang":"eng","text":"We consider planning problems for graphs, Markov Decision Processes (MDPs), and games on graphs in an explicit state space. While graphs represent the most basic planning model, MDPs represent interaction with nature and games on graphs represent interaction with an adversarial environment. We consider two planning problems with k different target sets: (a) the coverage problem asks whether there is a plan for each individual target set; and (b) the sequential target reachability problem asks whether the targets can be reached in a given sequence. For the coverage problem, we present a linear-time algorithm for graphs, and quadratic conditional lower bound for MDPs and games on graphs. For the sequential target problem, we present a linear-time algorithm for graphs, a sub-quadratic algorithm for MDPs, and a quadratic conditional lower bound for games on graphs. Our results with conditional lower bounds, based on the boolean matrix multiplication (BMM) conjecture and strong exponential time hypothesis (SETH), establish (i) model-separation results showing that for the coverage problem MDPs and games on graphs are harder than graphs, and for the sequential reachability problem games on graphs are harder than MDPs and graphs; and (ii) problem-separation results showing that for MDPs the coverage problem is harder than the sequential target problem."}]},{"series_title":"Leibniz International Proceedings in Informatics (LIPIcs)","volume":189,"doi":"10.4230/LIPIcs.SoCG.2021.17","file":[{"access_level":"open_access","creator":"mwintrae","relation":"main_file","success":1,"checksum":"c322aa48d5d35a35877896cc565705b6","date_created":"2021-06-02T10:22:33Z","file_name":"LIPIcs-SoCG-2021-17.pdf","date_updated":"2021-06-02T10:22:33Z","content_type":"application/pdf","file_size":1972902,"file_id":"9442"}],"day":"02","oa":1,"publisher":"Schloss Dagstuhl - Leibniz-Zentrum für Informatik","department":[{"_id":"HeEd"}],"month":"06","has_accepted_license":"1","conference":{"location":"Virtual","start_date":"2021-06-07","end_date":"2021-06-11","name":"SoCG: Symposium on Computational Geometry"},"file_date_updated":"2021-06-02T10:22:33Z","alternative_title":["LIPIcs"],"date_published":"2021-06-02T00:00:00Z","article_processing_charge":"No","das_tickbox":"1","fulldoi":"https://doi.org/10.4230/LIPIcs.SoCG.2021.17","place":"Dagstuhl, Germany","ddc":["005","516","514"],"tmp":{"image":"/images/cc_by.png","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)"},"publication_status":"published","year":"2021","quality_controlled":"1","intvolume":"       189","language":[{"iso":"eng"}],"publication":"37th International Symposium on Computational Geometry","scopus_import":"1","ec_funded":1,"publication_identifier":{"issn":["1868-8969"],"isbn":["978-3-95977-184-9"]},"acknowledgement":"We thank Dominique Attali, Guilherme de Fonseca, Arijit Ghosh, Vincent Pilaud and Aurélien Alvarez for their comments and suggestions. We also acknowledge the reviewers.","related_material":{"record":[{"id":"12960","relation":"later_version","status":"public"}]},"citation":{"chicago":"Boissonnat, Jean-Daniel, Siargey Kachanovich, and Mathijs Wintraecken. “Tracing Isomanifolds in Rd in Time Polynomial in d Using Coxeter-Freudenthal-Kuhn Triangulations.” In <i>37th International Symposium on Computational Geometry</i>, 189:17:1-17:16. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2021.17\">https://doi.org/10.4230/LIPIcs.SoCG.2021.17</a>.","apa":"Boissonnat, J.-D., Kachanovich, S., &#38; Wintraecken, M. (2021). Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations. In <i>37th International Symposium on Computational Geometry</i> (Vol. 189, p. 17:1-17:16). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. <a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2021.17\">https://doi.org/10.4230/LIPIcs.SoCG.2021.17</a>","mla":"Boissonnat, Jean-Daniel, et al. “Tracing Isomanifolds in Rd in Time Polynomial in d Using Coxeter-Freudenthal-Kuhn Triangulations.” <i>37th International Symposium on Computational Geometry</i>, vol. 189, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2021, p. 17:1-17:16, doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2021.17\">10.4230/LIPIcs.SoCG.2021.17</a>.","ama":"Boissonnat J-D, Kachanovich S, Wintraecken M. Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations. In: <i>37th International Symposium on Computational Geometry</i>. Vol 189. Leibniz International Proceedings in Informatics (LIPIcs). Dagstuhl, Germany: Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2021:17:1-17:16. doi:<a href=\"https://doi.org/10.4230/LIPIcs.SoCG.2021.17\">10.4230/LIPIcs.SoCG.2021.17</a>","short":"J.-D. Boissonnat, S. Kachanovich, M. Wintraecken, in:, 37th International Symposium on Computational Geometry, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, Dagstuhl, Germany, 2021, p. 17:1-17:16.","ista":"Boissonnat J-D, Kachanovich S, Wintraecken M. 2021. Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations. 37th International Symposium on Computational Geometry. SoCG: Symposium on Computational GeometryLeibniz International Proceedings in Informatics (LIPIcs), LIPIcs, vol. 189, 17:1-17:16.","ieee":"J.-D. Boissonnat, S. Kachanovich, and M. Wintraecken, “Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations,” in <i>37th International Symposium on Computational Geometry</i>, Virtual, 2021, vol. 189, p. 17:1-17:16."},"page":"17:1-17:16","project":[{"grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"date_updated":"2026-07-07T13:43:40Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Tracing isomanifolds in Rd in time polynomial in d using Coxeter-Freudenthal-Kuhn triangulations","_id":"9441","author":[{"first_name":"Jean-Daniel","last_name":"Boissonnat","full_name":"Boissonnat, Jean-Daniel"},{"first_name":"Siargey","last_name":"Kachanovich","full_name":"Kachanovich, Siargey"},{"last_name":"Wintraecken","first_name":"Mathijs","id":"307CFBC8-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-7472-2220","full_name":"Wintraecken, Mathijs"}],"date_created":"2021-06-02T10:10:55Z","status":"public","oa_version":"Published Version","type":"conference","abstract":[{"lang":"eng","text":"Isomanifolds are the generalization of isosurfaces to arbitrary dimension and codimension, i.e. submanifolds of ℝ^d defined as the zero set of some multivariate multivalued smooth function f: ℝ^d → ℝ^{d-n}, where n is the intrinsic dimension of the manifold. A natural way to approximate a smooth isomanifold M is to consider its Piecewise-Linear (PL) approximation M̂ based on a triangulation 𝒯 of the ambient space ℝ^d. In this paper, we describe a simple algorithm to trace isomanifolds from a given starting point. The algorithm works for arbitrary dimensions n and d, and any precision D. Our main result is that, when f (or M) has bounded complexity, the complexity of the algorithm is polynomial in d and δ = 1/D (and unavoidably exponential in n). Since it is known that for δ = Ω (d^{2.5}), M̂ is O(D²)-close and isotopic to M, our algorithm produces a faithful PL-approximation of isomanifolds of bounded complexity in time polynomial in d. Combining this algorithm with dimensionality reduction techniques, the dependency on d in the size of M̂ can be completely removed with high probability. We also show that the algorithm can handle isomanifolds with boundary and, more generally, isostratifolds. The algorithm for isomanifolds with boundary has been implemented and experimental results are reported, showing that it is practical and can handle cases that are far ahead of the state-of-the-art. "}]},{"author":[{"full_name":"Kamath Hosdurg, Chethan","orcid":"0009-0006-6812-7317","first_name":"Chethan","last_name":"Kamath Hosdurg","id":"4BD3F30E-F248-11E8-B48F-1D18A9856A87"},{"full_name":"Klein, Karen","first_name":"Karen","last_name":"Klein","id":"3E83A2F8-F248-11E8-B48F-1D18A9856A87"},{"orcid":"0000-0002-9139-1654","full_name":"Pietrzak, Krzysztof Z","id":"3E04A7AA-F248-11E8-B48F-1D18A9856A87","last_name":"Pietrzak","first_name":"Krzysztof Z"},{"full_name":"Wichs, Daniel","first_name":"Daniel","last_name":"Wichs"}],"status":"public","date_created":"2021-09-23T14:06:15Z","title":"Limits on the Adaptive Security of Yao’s Garbling","_id":"10041","abstract":[{"text":"Yao’s garbling scheme is one of the most fundamental cryptographic constructions. Lindell and Pinkas (Journal of Cryptograhy 2009) gave a formal proof of security in the selective setting where the adversary chooses the challenge inputs before seeing the garbled circuit assuming secure symmetric-key encryption (and hence one-way functions). This was followed by results, both positive and negative, concerning its security in the, stronger, adaptive setting. Applebaum et al. (Crypto 2013) showed that it cannot satisfy adaptive security as is, due to a simple incompressibility argument. Jafargholi and Wichs (TCC 2017) considered a natural adaptation of Yao’s scheme (where the output mapping is sent in the online phase, together with the garbled input) that circumvents this negative result, and proved that it is adaptively secure, at least for shallow circuits. In particular, they showed that for the class of circuits of depth   δ , the loss in security is at most exponential in   δ . The above results all concern the simulation-based notion of security. In this work, we show that the upper bound of Jafargholi and Wichs is basically optimal in a strong sense. As our main result, we show that there exists a family of Boolean circuits, one for each depth  δ∈N , such that any black-box reduction proving the adaptive indistinguishability of the natural adaptation of Yao’s scheme from any symmetric-key encryption has to lose a factor that is exponential in   δ√ . Since indistinguishability is a weaker notion than simulation, our bound also applies to adaptive simulation. To establish our results, we build on the recent approach of Kamath et al. (Eprint 2021), which uses pebbling lower bounds in conjunction with oracle separations to prove fine-grained lower bounds on loss in cryptographic security.","lang":"eng"}],"type":"conference","oa_version":"Preprint","citation":{"chicago":"Kamath Hosdurg, Chethan, Karen Klein, Krzysztof Z Pietrzak, and Daniel Wichs. “Limits on the Adaptive Security of Yao’s Garbling.” In <i>41st Annual International Cryptology Conference</i>, 12826:486–515. Cham: Springer Nature, 2021. <a href=\"https://doi.org/10.1007/978-3-030-84245-1_17\">https://doi.org/10.1007/978-3-030-84245-1_17</a>.","apa":"Kamath Hosdurg, C., Klein, K., Pietrzak, K. Z., &#38; Wichs, D. (2021). Limits on the Adaptive Security of Yao’s Garbling. In <i>41st Annual International Cryptology Conference</i> (Vol. 12826, pp. 486–515). Cham: Springer Nature. <a href=\"https://doi.org/10.1007/978-3-030-84245-1_17\">https://doi.org/10.1007/978-3-030-84245-1_17</a>","ama":"Kamath Hosdurg C, Klein K, Pietrzak KZ, Wichs D. Limits on the Adaptive Security of Yao’s Garbling. In: <i>41st Annual International Cryptology Conference</i>. Vol 12826. Cham: Springer Nature; 2021:486-515. doi:<a href=\"https://doi.org/10.1007/978-3-030-84245-1_17\">10.1007/978-3-030-84245-1_17</a>","mla":"Kamath Hosdurg, Chethan, et al. “Limits on the Adaptive Security of Yao’s Garbling.” <i>41st Annual International Cryptology Conference</i>, vol. 12826, Springer Nature, 2021, pp. 486–515, doi:<a href=\"https://doi.org/10.1007/978-3-030-84245-1_17\">10.1007/978-3-030-84245-1_17</a>.","ieee":"C. Kamath Hosdurg, K. Klein, K. Z. Pietrzak, and D. Wichs, “Limits on the Adaptive Security of Yao’s Garbling,” in <i>41st Annual International Cryptology Conference</i>, Virtual, 2021, vol. 12826, pp. 486–515.","short":"C. Kamath Hosdurg, K. Klein, K.Z. Pietrzak, D. Wichs, in:, 41st Annual International Cryptology Conference, Springer Nature, Cham, 2021, pp. 486–515.","ista":"Kamath Hosdurg C, Klein K, Pietrzak KZ, Wichs D. 2021. Limits on the Adaptive Security of Yao’s Garbling. 41st Annual International Cryptology Conference. CRYPTO: Annual International Cryptology Conference, LCNS, vol. 12826, 486–515."},"page":"486-515","project":[{"grant_number":"682815","_id":"258AA5B2-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","name":"Teaching Old Crypto New Tricks"}],"related_material":{"record":[{"relation":"dissertation_contains","id":"10035","status":"public"}]},"date_updated":"2026-07-07T13:57:01Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","scopus_import":"1","publication":"41st Annual International Cryptology Conference","publication_identifier":{"issn":["0302-9743"],"eisbn":["978-3-030-84245-1"],"isbn":["978-3-030-84244-4"],"eissn":["1611-3349"]},"acknowledgement":"We would like to thank the anonymous reviewers of Crypto’21 whose detailed comments helped us considerably improve the presentation of the paper.","ec_funded":1,"language":[{"iso":"eng"}],"place":"Cham","intvolume":"     12826","cryptoeprintid":1,"publication_status":"published","quality_controlled":"1","year":"2021","article_processing_charge":"No","conference":{"location":"Virtual","name":"CRYPTO: Annual International Cryptology Conference","start_date":"2021-08-16","end_date":"2021-08-20"},"date_published":"2021-08-11T00:00:00Z","alternative_title":["LCNS"],"main_file_link":[{"open_access":"1","url":"https://eprint.iacr.org/2021/945"}],"fulldoi":"https://doi.org/10.1007/978-3-030-84245-1_17","oa":1,"day":"11","publisher":"Springer Nature","department":[{"_id":"KrPi"}],"month":"08","external_id":{"cryptoeprintid":["2021/945"],"isi":["000696697800017"]},"isi":1,"doi":"10.1007/978-3-030-84245-1_17","volume":12826},{"project":[{"grant_number":"214316/Z/18/Z","_id":"c084a126-5a5b-11eb-8a69-d75314a70a87","name":"What’s in a memory? Spatiotemporal dynamics in strongly coupled recurrent neuronal networks."}],"citation":{"chicago":"Braun, Lukas, and Tim P Vogels. “Online Learning of Neural Computations from Sparse Temporal Feedback.” In <i>35th Conference on Neural Information Processing Systems</i>, 20:16437–50. Neural Information Processing Systems Foundation, 2021.","apa":"Braun, L., &#38; Vogels, T. P. (2021). Online learning of neural computations from sparse temporal feedback. In <i>35th Conference on Neural Information Processing Systems</i> (Vol. 20, pp. 16437–16450). Virtual, Online: Neural Information Processing Systems Foundation.","mla":"Braun, Lukas, and Tim P. Vogels. “Online Learning of Neural Computations from Sparse Temporal Feedback.” <i>35th Conference on Neural Information Processing Systems</i>, vol. 20, Neural Information Processing Systems Foundation, 2021, pp. 16437–50.","ama":"Braun L, Vogels TP. Online learning of neural computations from sparse temporal feedback. In: <i>35th Conference on Neural Information Processing Systems</i>. Vol 20. Neural Information Processing Systems Foundation; 2021:16437-16450.","short":"L. Braun, T.P. Vogels, in:, 35th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2021, pp. 16437–16450.","ieee":"L. Braun and T. P. Vogels, “Online learning of neural computations from sparse temporal feedback,” in <i>35th Conference on Neural Information Processing Systems</i>, Virtual, Online, 2021, vol. 20, pp. 16437–16450.","ista":"Braun L, Vogels TP. 2021. Online learning of neural computations from sparse temporal feedback. 35th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 20, 16437–16450."},"page":"16437-16450","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","date_updated":"2026-07-08T05:45:00Z","status":"public","date_created":"2022-06-19T22:01:59Z","author":[{"first_name":"Lukas","last_name":"Braun","full_name":"Braun, Lukas"},{"full_name":"Vogels, Tim P","orcid":"0000-0003-3295-6181","last_name":"Vogels","first_name":"Tim P","id":"CB6FF8D2-008F-11EA-8E08-2637E6697425"}],"_id":"11453","title":"Online learning of neural computations from sparse temporal feedback","abstract":[{"text":"Neuronal computations depend on synaptic connectivity and intrinsic electrophysiological properties. Synaptic connectivity determines which inputs from presynaptic neurons are integrated, while cellular properties determine how inputs are filtered over time. Unlike their biological counterparts, most computational approaches to learning in simulated neural networks are limited to changes in synaptic connectivity. However, if intrinsic parameters change, neural computations are altered drastically. Here, we include the parameters that determine the intrinsic properties,\r\ne.g., time constants and reset potential, into the learning paradigm. Using sparse feedback signals that indicate target spike times, and gradient-based parameter updates, we show that the intrinsic parameters can be learned along with the synaptic weights to produce specific input-output functions. Specifically, we use a teacher-student paradigm in which a randomly initialised leaky integrate-and-fire or resonate-and-fire neuron must recover the parameters of a teacher neuron. We show that complex temporal functions can be learned online and without backpropagation through time, relying on event-based updates only. Our results are a step towards online learning of neural computations from ungraded and unsigned sparse feedback signals with a biologically inspired learning mechanism.","lang":"eng"}],"oa_version":"Published Version","type":"conference","language":[{"iso":"eng"}],"scopus_import":"1","publication":"35th Conference on Neural Information Processing Systems","publication_identifier":{"issn":["1049-5258"],"isbn":["9781713845393"]},"acknowledgement":"We would like to thank Professor Dr. Henning Sprekeler for his valuable suggestions and Dr. Andrew Saxe, Milan Klöwer and Anna Wallis for their constructive feedback on the manuscript. Lukas Braun was supported by the Network of European Neuroscience Schools through their NENS Exchange Grant program, by the European Union through their European Community Action Scheme for the Mobility of University Students, the Woodward Scholarship awarded by Wadham College, Oxford and the Medical Research Council [MR/N013468/1]. Tim P. Vogels was supported by a Wellcome Trust Senior Research Fellowship [214316/Z/18/Z].","article_processing_charge":"No","date_published":"2021-12-01T00:00:00Z","alternative_title":["Advances in Neural Information Processing Systems"],"conference":{"end_date":"2021-12-14","start_date":"2021-12-06","name":"NeurIPS: Neural Information Processing Systems","location":"Virtual, Online"},"main_file_link":[{"open_access":"1","url":"https://proceedings.neurips.cc/paper/2021/file/88e1ce84f9feef5a08d0df0334c53468-Paper.pdf"}],"das_tickbox":"1","ddc":["000","570"],"intvolume":"        20","year":"2021","quality_controlled":"1","publication_status":"published","volume":20,"oa":1,"corr_author":"1","day":"01","department":[{"_id":"TiVo"}],"month":"12","publisher":"Neural Information Processing Systems Foundation"},{"citation":{"chicago":"Alimisis, Foivos, Peter Davies, Bart Vandereycken, and Dan-Adrian Alistarh. “Distributed Principal Component Analysis with Limited Communication.” In <i>35th Conference on Neural Information Processing Systems</i>, 4:2823–34. Neural Information Processing Systems Foundation, 2021.","apa":"Alimisis, F., Davies, P., Vandereycken, B., &#38; Alistarh, D.-A. (2021). Distributed principal component analysis with limited communication. In <i>35th Conference on Neural Information Processing Systems</i> (Vol. 4, pp. 2823–2834). Virtual, Online: Neural Information Processing Systems Foundation.","ama":"Alimisis F, Davies P, Vandereycken B, Alistarh D-A. Distributed principal component analysis with limited communication. In: <i>35th Conference on Neural Information Processing Systems</i>. Vol 4. Neural Information Processing Systems Foundation; 2021:2823-2834.","mla":"Alimisis, Foivos, et al. “Distributed Principal Component Analysis with Limited Communication.” <i>35th Conference on Neural Information Processing Systems</i>, vol. 4, Neural Information Processing Systems Foundation, 2021, pp. 2823–34.","ista":"Alimisis F, Davies P, Vandereycken B, Alistarh D-A. 2021. Distributed principal component analysis with limited communication. 35th Conference on Neural Information Processing Systems. NeurIPS: Neural Information Processing Systems, Advances in Neural Information Processing Systems, vol. 4, 2823–2834.","short":"F. Alimisis, P. Davies, B. Vandereycken, D.-A. Alistarh, in:, 35th Conference on Neural Information Processing Systems, Neural Information Processing Systems Foundation, 2021, pp. 2823–2834.","ieee":"F. Alimisis, P. Davies, B. Vandereycken, and D.-A. Alistarh, “Distributed principal component analysis with limited communication,” in <i>35th Conference on Neural Information Processing Systems</i>, Virtual, Online, 2021, vol. 4, pp. 2823–2834."},"page":"2823-2834","project":[{"name":"Elastic Coordination for Scalable Machine Learning","call_identifier":"H2020","_id":"268A44D6-B435-11E9-9278-68D0E5697425","grant_number":"805223"},{"grant_number":"754411","call_identifier":"H2020","name":"ISTplus - Postdoctoral Fellowships","_id":"260C2330-B435-11E9-9278-68D0E5697425"}],"date_updated":"2026-07-08T05:44:33Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","title":"Distributed principal component analysis with limited communication","_id":"11452","author":[{"last_name":"Alimisis","first_name":"Foivos","full_name":"Alimisis, Foivos"},{"last_name":"Davies","first_name":"Peter","id":"11396234-BB50-11E9-B24C-90FCE5697425","full_name":"Davies, Peter","orcid":"0000-0002-5646-9524"},{"first_name":"Bart","last_name":"Vandereycken","full_name":"Vandereycken, Bart"},{"last_name":"Alistarh","first_name":"Dan-Adrian","id":"4A899BFC-F248-11E8-B48F-1D18A9856A87","full_name":"Alistarh, Dan-Adrian","orcid":"0000-0003-3650-940X"}],"status":"public","date_created":"2022-06-19T22:01:58Z","type":"conference","oa_version":"Published Version","abstract":[{"lang":"eng","text":"We study efficient distributed algorithms for the fundamental problem of principal component analysis and leading eigenvector computation on the sphere, when the data are randomly distributed among a set of computational nodes. We propose a new quantized variant of Riemannian gradient descent to solve this problem, and prove that the algorithm converges with high probability under a set of necessary spherical-convexity properties. We give bounds on the number of bits transmitted by the algorithm under common initialization schemes, and investigate the dependency on the problem dimension in each case."}],"language":[{"iso":"eng"}],"publication":"35th Conference on Neural Information Processing Systems","scopus_import":"1","publication_identifier":{"issn":["1049-5258"],"isbn":["9781713845393"]},"ec_funded":1,"acknowledgement":"We would like to thank the anonymous reviewers for helpful comments and suggestions. We also thank Aurelien Lucchi and Antonio Orvieto for fruitful discussions at an early stage of this work. FA is partially supported by the SNSF under research project No. 192363 and conducted part of this work while at IST Austria under the European Union’s Horizon 2020 research and innovation programme (grant agreement No. 805223 ScaleML). PD partly conducted this work while at IST Austria and was supported by the European Union’s Horizon 2020 programme under the Marie Skłodowska-Curie grant agreement No. 754411.","conference":{"location":"Virtual, Online","end_date":"2021-12-14","start_date":"2021-12-06","name":"NeurIPS: Neural Information Processing Systems"},"date_published":"2021-12-01T00:00:00Z","alternative_title":["Advances in Neural Information Processing Systems"],"article_processing_charge":"No","das_tickbox":"1","main_file_link":[{"url":"https://proceedings.neurips.cc/paper/2021/file/1680e9fa7b4dd5d62ece800239bb53bd-Paper.pdf","open_access":"1"}],"arxiv":1,"ddc":["000"],"publication_status":"published","year":"2021","quality_controlled":"1","intvolume":"         4","volume":4,"day":"01","corr_author":"1","oa":1,"external_id":{"arxiv":["2110.14391"]},"publisher":"Neural Information Processing Systems Foundation","department":[{"_id":"DaAl"}],"month":"12"},{"oa":1,"corr_author":"1","day":"07","dataavailabilitystatement":"The data that support the findings of this study are available from the corresponding author upon reasonable request.","month":"04","department":[{"_id":"OnHo"}],"publisher":"AIP Publishing","external_id":{"arxiv":["2010.09168"],"isi":["000637702100001"]},"article_number":"140501","isi":1,"researchdata_availability":"upon request","doi":"10.1063/5.0050235","volume":118,"intvolume":"       118","year":"2021","quality_controlled":"1","publication_status":"published","article_processing_charge":"No","date_published":"2021-04-07T00:00:00Z","arxiv":1,"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/2010.09168"}],"fulldoi":"https://doi.org/10.1063/5.0050235","das_tickbox":"1","issue":"14","scopus_import":"1","publication":"Applied Physics Letters","publication_identifier":{"issn":["0003-6951"]},"acknowledgement":"We acknowledge fruitful discussions with John Close, Chris Freier, Kyle Hardman, Joseph Hope, and Paul Wigley, and insightful suggestions made by Franck Pereira dos Santos on behalf of the Atom Interferometry and Inertial Sensors team at SYRTE. S.S.S. was supported by an Australian Research Council Discovery Early Career Researcher Award (DECRA), Project No. DE200100495. O.H. was supported by IST Austria.","language":[{"iso":"eng"}],"date_created":"2021-04-18T22:01:40Z","author":[{"last_name":"Szigeti","first_name":"Stuart S.","full_name":"Szigeti, Stuart S."},{"last_name":"Hosten","first_name":"Onur","id":"4C02D85E-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0002-2031-204X","full_name":"Hosten, Onur"},{"first_name":"Simon A.","last_name":"Haine","full_name":"Haine, Simon A."}],"status":"public","_id":"9331","title":"Improving cold-atom sensors with quantum entanglement: Prospects and challenges","abstract":[{"text":"Quantum entanglement has been generated and verified in cold-atom experiments and used to make atom-interferometric measurements below the shot-noise limit. However, current state-of-the-art cold-atom devices exploit separable (i.e., unentangled) atomic states. This perspective piece asks the question: can entanglement usefully improve cold-atom sensors, in the sense that it gives new sensing capabilities unachievable with current state-of-the-art devices? We briefly review the state-of-the-art in precision cold-atom sensing, focusing on clocks and inertial sensors, identifying the potential benefits entanglement could bring to these devices, and the challenges that need to be overcome to realize these benefits. We survey demonstrated methods of generating metrologically useful entanglement in cold-atom systems, note their relative strengths and weaknesses, and assess their prospects for near-to-medium term quantum-enhanced cold-atom sensing.","lang":"eng"}],"article_type":"original","oa_version":"Preprint","type":"journal_article","citation":{"short":"S.S. Szigeti, O. Hosten, S.A. Haine, Applied Physics Letters 118 (2021).","ista":"Szigeti SS, Hosten O, Haine SA. 2021. Improving cold-atom sensors with quantum entanglement: Prospects and challenges. Applied Physics Letters. 118(14), 140501.","ieee":"S. S. Szigeti, O. Hosten, and S. A. Haine, “Improving cold-atom sensors with quantum entanglement: Prospects and challenges,” <i>Applied Physics Letters</i>, vol. 118, no. 14. AIP Publishing, 2021.","mla":"Szigeti, Stuart S., et al. “Improving Cold-Atom Sensors with Quantum Entanglement: Prospects and Challenges.” <i>Applied Physics Letters</i>, vol. 118, no. 14, 140501, AIP Publishing, 2021, doi:<a href=\"https://doi.org/10.1063/5.0050235\">10.1063/5.0050235</a>.","ama":"Szigeti SS, Hosten O, Haine SA. Improving cold-atom sensors with quantum entanglement: Prospects and challenges. <i>Applied Physics Letters</i>. 2021;118(14). doi:<a href=\"https://doi.org/10.1063/5.0050235\">10.1063/5.0050235</a>","apa":"Szigeti, S. S., Hosten, O., &#38; Haine, S. A. (2021). Improving cold-atom sensors with quantum entanglement: Prospects and challenges. <i>Applied Physics Letters</i>. AIP Publishing. <a href=\"https://doi.org/10.1063/5.0050235\">https://doi.org/10.1063/5.0050235</a>","chicago":"Szigeti, Stuart S., Onur Hosten, and Simon A. Haine. “Improving Cold-Atom Sensors with Quantum Entanglement: Prospects and Challenges.” <i>Applied Physics Letters</i>. AIP Publishing, 2021. <a href=\"https://doi.org/10.1063/5.0050235\">https://doi.org/10.1063/5.0050235</a>."},"user_id":"68b8ca59-c5b3-11ee-8790-cd641c68093d","supplementarymaterial":"no","date_updated":"2026-07-08T08:53:45Z"},{"publication_identifier":{"issn":["1943-2631"]},"acknowledgement":"The computations were performed with the IST Austria High-Performance Computing (HPC) Cluster and the Institut Français de Bioinformatique (IFB) Core Cluster. We are grateful to Nick Barton and Beatriz Vicoso for critical comments on the model and the manuscript. We also thank Brian Charlesworth, Stuart Baird, and an anonymous reviewer for insightful comments.\r\nC.F. was supported by an Austrian Science Foundation FWF grant (Project M 2463-B29).","publication":"Genetics","scopus_import":"1","issue":"2","language":[{"iso":"eng"}],"OA_type":"free access","OA_place":"publisher","type":"journal_article","oa_version":"Published Version","article_type":"original","abstract":[{"text":"Interspecific crossing experiments have shown that sex chromosomes play a major role in reproductive isolation between many pairs of species. However, their ability to act as reproductive barriers, which hamper interspecific genetic exchange, has rarely been evaluated quantitatively compared to Autosomes. This genome-wide limitation of gene flow is essential for understanding the complete separation of species, and thus speciation. Here, we develop a mainland-island model of secondary contact between hybridizing species of an XY (or ZW) sexual system. We obtain theoretical predictions for the frequency of introgressed alleles, and the strength of the barrier to neutral gene flow for the two types of chromosomes carrying multiple interspecific barrier loci. Theoretical predictions are obtained for scenarios where introgressed alleles are rare. We show that the same analytical expressions apply for sex chromosomes and autosomes, but with different sex-averaged effective parameters. The specific features of sex chromosomes (hemizygosity and absence of recombination in the heterogametic sex) lead to reduced levels of introgression on the X (or Z) compared to autosomes. This effect can be enhanced by certain types of sex-biased forces, but it remains overall small (except when alleles causing incompatibilities are recessive). We discuss these predictions in the light of empirical data comprising model-based tests of introgression and cline surveys in various biological systems.","lang":"eng"}],"title":"The rates of introgression and barriers to genetic exchange between hybridizing species: Sex chromosomes vs autosomes","_id":"9168","date_created":"2021-02-18T14:41:30Z","status":"public","author":[{"id":"32DF5794-F248-11E8-B48F-1D18A9856A87","first_name":"Christelle","last_name":"Fraisse","full_name":"Fraisse, Christelle","orcid":"0000-0001-8441-5075"},{"full_name":"Sachdeva, Himani","id":"42377A0A-F248-11E8-B48F-1D18A9856A87","last_name":"Sachdeva","first_name":"Himani"}],"date_updated":"2026-07-28T12:39:03Z","user_id":"2DF688A6-F248-11E8-B48F-1D18A9856A87","citation":{"ista":"Fraisse C, Sachdeva H. 2021. The rates of introgression and barriers to genetic exchange between hybridizing species: Sex chromosomes vs autosomes. Genetics. 217(2), iyaa025.","short":"C. Fraisse, H. Sachdeva, Genetics 217 (2021).","ieee":"C. Fraisse and H. Sachdeva, “The rates of introgression and barriers to genetic exchange between hybridizing species: Sex chromosomes vs autosomes,” <i>Genetics</i>, vol. 217, no. 2. Genetics Society of America, 2021.","ama":"Fraisse C, Sachdeva H. The rates of introgression and barriers to genetic exchange between hybridizing species: Sex chromosomes vs autosomes. <i>Genetics</i>. 2021;217(2). doi:<a href=\"https://doi.org/10.1093/genetics/iyaa025\">10.1093/genetics/iyaa025</a>","mla":"Fraisse, Christelle, and Himani Sachdeva. “The Rates of Introgression and Barriers to Genetic Exchange between Hybridizing Species: Sex Chromosomes vs Autosomes.” <i>Genetics</i>, vol. 217, no. 2, iyaa025, Genetics Society of America, 2021, doi:<a href=\"https://doi.org/10.1093/genetics/iyaa025\">10.1093/genetics/iyaa025</a>.","apa":"Fraisse, C., &#38; Sachdeva, H. (2021). The rates of introgression and barriers to genetic exchange between hybridizing species: Sex chromosomes vs autosomes. <i>Genetics</i>. Genetics Society of America. <a href=\"https://doi.org/10.1093/genetics/iyaa025\">https://doi.org/10.1093/genetics/iyaa025</a>","chicago":"Fraisse, Christelle, and Himani Sachdeva. “The Rates of Introgression and Barriers to Genetic Exchange between Hybridizing Species: Sex Chromosomes vs Autosomes.” <i>Genetics</i>. Genetics Society of America, 2021. <a href=\"https://doi.org/10.1093/genetics/iyaa025\">https://doi.org/10.1093/genetics/iyaa025</a>."},"project":[{"grant_number":"M02463","name":"Sex chromosomes and species barriers","call_identifier":"FWF","_id":"2662AADE-B435-11E9-9278-68D0E5697425"}],"external_id":{"pmid":["33724409"],"isi":["000637218100005"]},"publisher":"Genetics Society of America","department":[{"_id":"NiBa"}],"month":"02","day":"01","corr_author":"1","oa":1,"volume":217,"doi":"10.1093/genetics/iyaa025","isi":1,"article_number":"iyaa025","publication_status":"published","quality_controlled":"1","year":"2021","pmid":1,"intvolume":"       217","ddc":["570"],"fulldoi":"https://doi.org/10.1093/genetics/iyaa025","main_file_link":[{"url":"https://doi.org/10.1093/genetics/iyaa025","open_access":"1"}],"acknowledged_ssus":[{"_id":"ScienComp"}],"date_published":"2021-02-01T00:00:00Z","article_processing_charge":"No"}]