--- _id: '645' abstract: - lang: eng text: Markov decision processes (MDPs) are standard models for probabilistic systems with non-deterministic behaviours. Long-run average rewards provide a mathematically elegant formalism for expressing long term performance. Value iteration (VI) is one of the simplest and most efficient algorithmic approaches to MDPs with other properties, such as reachability objectives. Unfortunately, a naive extension of VI does not work for MDPs with long-run average rewards, as there is no known stopping criterion. In this work our contributions are threefold. (1) We refute a conjecture related to stopping criteria for MDPs with long-run average rewards. (2) We present two practical algorithms for MDPs with long-run average rewards based on VI. First, we show that a combination of applying VI locally for each maximal end-component (MEC) and VI for reachability objectives can provide approximation guarantees. Second, extending the above approach with a simulation-guided on-demand variant of VI, we present an anytime algorithm that is able to deal with very large models. (3) Finally, we present experimental results showing that our methods significantly outperform the standard approaches on several benchmarks. alternative_title: - LNCS author: - first_name: Pranav full_name: Ashok, Pranav last_name: Ashok - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Przemyslaw full_name: Daca, Przemyslaw id: 49351290-F248-11E8-B48F-1D18A9856A87 last_name: Daca - first_name: Jan full_name: Kretinsky, Jan id: 44CEF464-F248-11E8-B48F-1D18A9856A87 last_name: Kretinsky orcid: 0000-0002-8122-2881 - first_name: Tobias full_name: Meggendorfer, Tobias last_name: Meggendorfer citation: ama: 'Ashok P, Chatterjee K, Daca P, Kretinsky J, Meggendorfer T. Value iteration for long run average reward in markov decision processes. In: Majumdar R, Kunčak V, eds. Vol 10426. Springer; 2017:201-221. doi:10.1007/978-3-319-63387-9_10' apa: 'Ashok, P., Chatterjee, K., Daca, P., Kretinsky, J., & Meggendorfer, T. (2017). Value iteration for long run average reward in markov decision processes. In R. Majumdar & V. Kunčak (Eds.) (Vol. 10426, pp. 201–221). Presented at the CAV: Computer Aided Verification, Heidelberg, Germany: Springer. https://doi.org/10.1007/978-3-319-63387-9_10' chicago: Ashok, Pranav, Krishnendu Chatterjee, Przemyslaw Daca, Jan Kretinsky, and Tobias Meggendorfer. “Value Iteration for Long Run Average Reward in Markov Decision Processes.” edited by Rupak Majumdar and Viktor Kunčak, 10426:201–21. Springer, 2017. https://doi.org/10.1007/978-3-319-63387-9_10. ieee: 'P. Ashok, K. Chatterjee, P. Daca, J. Kretinsky, and T. Meggendorfer, “Value iteration for long run average reward in markov decision processes,” presented at the CAV: Computer Aided Verification, Heidelberg, Germany, 2017, vol. 10426, pp. 201–221.' ista: 'Ashok P, Chatterjee K, Daca P, Kretinsky J, Meggendorfer T. 2017. Value iteration for long run average reward in markov decision processes. CAV: Computer Aided Verification, LNCS, vol. 10426, 201–221.' mla: Ashok, Pranav, et al. Value Iteration for Long Run Average Reward in Markov Decision Processes. Edited by Rupak Majumdar and Viktor Kunčak, vol. 10426, Springer, 2017, pp. 201–21, doi:10.1007/978-3-319-63387-9_10. short: P. Ashok, K. Chatterjee, P. Daca, J. Kretinsky, T. Meggendorfer, in:, R. Majumdar, V. Kunčak (Eds.), Springer, 2017, pp. 201–221. conference: end_date: 2017-07-28 location: Heidelberg, Germany name: 'CAV: Computer Aided Verification' start_date: 2017-07-24 date_created: 2018-12-11T11:47:41Z date_published: 2017-07-13T00:00:00Z date_updated: 2021-01-12T08:07:32Z day: '13' department: - _id: KrCh doi: 10.1007/978-3-319-63387-9_10 ec_funded: 1 editor: - first_name: Rupak full_name: Majumdar, Rupak last_name: Majumdar - first_name: Viktor full_name: Kunčak, Viktor last_name: Kunčak intvolume: ' 10426' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1705.02326 month: '07' oa: 1 oa_version: Submitted Version page: 201 - 221 project: - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification - _id: 25863FF4-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S11407 name: Game Theory - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' publication_identifier: isbn: - 978-331963386-2 publication_status: published publisher: Springer publist_id: '7135' quality_controlled: '1' scopus_import: 1 status: public title: Value iteration for long run average reward in markov decision processes type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 10426 year: '2017' ... --- _id: '644' abstract: - lang: eng text: An instance of the valued constraint satisfaction problem (VCSP) is given by a finite set of variables, a finite domain of labels, and a sum of functions, each function depending on a subset of the variables. Each function can take finite values specifying costs of assignments of labels to its variables or the infinite value, which indicates an infeasible assignment. The goal is to find an assignment of labels to the variables that minimizes the sum. We study, assuming that P 6= NP, how the complexity of this very general problem depends on the set of functions allowed in the instances, the so-called constraint language. The case when all allowed functions take values in f0;1g corresponds to ordinary CSPs, where one deals only with the feasibility issue, and there is no optimization. This case is the subject of the algebraic CSP dichotomy conjecture predicting for which constraint languages CSPs are tractable (i.e., solvable in polynomial time) and for which they are NP-hard. The case when all allowed functions take only finite values corresponds to a finitevalued CSP, where the feasibility aspect is trivial and one deals only with the optimization issue. The complexity of finite-valued CSPs was fully classified by Thapper and Živný. An algebraic necessary condition for tractability of a general-valued CSP with a fixed constraint language was recently given by Kozik and Ochremiak. As our main result, we prove that if a constraint language satisfies this algebraic necessary condition, and the feasibility CSP (i.e., the problem of deciding whether a given instance has a feasible solution) corresponding to the VCSP with this language is tractable, then the VCSP is tractable. The algorithm is a simple combination of the assumed algorithm for the feasibility CSP and the standard LP relaxation. As a corollary, we obtain that a dichotomy for ordinary CSPs would imply a dichotomy for general-valued CSPs. author: - first_name: Vladimir full_name: Kolmogorov, Vladimir id: 3D50B0BA-F248-11E8-B48F-1D18A9856A87 last_name: Kolmogorov - first_name: Andrei full_name: Krokhin, Andrei last_name: Krokhin - first_name: Michal full_name: Rolinek, Michal id: 3CB3BC06-F248-11E8-B48F-1D18A9856A87 last_name: Rolinek citation: ama: Kolmogorov V, Krokhin A, Rolinek M. The complexity of general-valued CSPs. SIAM Journal on Computing. 2017;46(3):1087-1110. doi:10.1137/16M1091836 apa: Kolmogorov, V., Krokhin, A., & Rolinek, M. (2017). The complexity of general-valued CSPs. SIAM Journal on Computing. SIAM. https://doi.org/10.1137/16M1091836 chicago: Kolmogorov, Vladimir, Andrei Krokhin, and Michal Rolinek. “The Complexity of General-Valued CSPs.” SIAM Journal on Computing. SIAM, 2017. https://doi.org/10.1137/16M1091836. ieee: V. Kolmogorov, A. Krokhin, and M. Rolinek, “The complexity of general-valued CSPs,” SIAM Journal on Computing, vol. 46, no. 3. SIAM, pp. 1087–1110, 2017. ista: Kolmogorov V, Krokhin A, Rolinek M. 2017. The complexity of general-valued CSPs. SIAM Journal on Computing. 46(3), 1087–1110. mla: Kolmogorov, Vladimir, et al. “The Complexity of General-Valued CSPs.” SIAM Journal on Computing, vol. 46, no. 3, SIAM, 2017, pp. 1087–110, doi:10.1137/16M1091836. short: V. Kolmogorov, A. Krokhin, M. Rolinek, SIAM Journal on Computing 46 (2017) 1087–1110. date_created: 2018-12-11T11:47:40Z date_published: 2017-06-29T00:00:00Z date_updated: 2023-02-23T10:07:49Z day: '29' department: - _id: VlKo doi: 10.1137/16M1091836 ec_funded: 1 intvolume: ' 46' issue: '3' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1502.07327 month: '06' oa: 1 oa_version: Preprint page: 1087 - 1110 project: - _id: 25FBA906-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '616160' name: 'Discrete Optimization in Computer Vision: Theory and Practice' publication: SIAM Journal on Computing publication_status: published publisher: SIAM publist_id: '7138' quality_controlled: '1' related_material: record: - id: '1637' relation: other status: public scopus_import: 1 status: public title: The complexity of general-valued CSPs type: journal_article user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 46 year: '2017' ... --- _id: '646' abstract: - lang: eng text: We present a novel convex relaxation and a corresponding inference algorithm for the non-binary discrete tomography problem, that is, reconstructing discrete-valued images from few linear measurements. In contrast to state of the art approaches that split the problem into a continuous reconstruction problem for the linear measurement constraints and a discrete labeling problem to enforce discrete-valued reconstructions, we propose a joint formulation that addresses both problems simultaneously, resulting in a tighter convex relaxation. For this purpose a constrained graphical model is set up and evaluated using a novel relaxation optimized by dual decomposition. We evaluate our approach experimentally and show superior solutions both mathematically (tighter relaxation) and experimentally in comparison to previously proposed relaxations. alternative_title: - LNCS author: - first_name: Jan full_name: Kuske, Jan last_name: Kuske - first_name: Paul full_name: Swoboda, Paul id: 446560C6-F248-11E8-B48F-1D18A9856A87 last_name: Swoboda - first_name: Stefanie full_name: Petra, Stefanie last_name: Petra citation: ama: 'Kuske J, Swoboda P, Petra S. A novel convex relaxation for non binary discrete tomography. In: Lauze F, Dong Y, Bjorholm Dahl A, eds. Vol 10302. Springer; 2017:235-246. doi:10.1007/978-3-319-58771-4_19' apa: 'Kuske, J., Swoboda, P., & Petra, S. (2017). A novel convex relaxation for non binary discrete tomography. In F. Lauze, Y. Dong, & A. Bjorholm Dahl (Eds.) (Vol. 10302, pp. 235–246). Presented at the SSVM: Scale Space and Variational Methods in Computer Vision, Kolding, Denmark: Springer. https://doi.org/10.1007/978-3-319-58771-4_19' chicago: Kuske, Jan, Paul Swoboda, and Stefanie Petra. “A Novel Convex Relaxation for Non Binary Discrete Tomography.” edited by François Lauze, Yiqiu Dong, and Anders Bjorholm Dahl, 10302:235–46. Springer, 2017. https://doi.org/10.1007/978-3-319-58771-4_19. ieee: 'J. Kuske, P. Swoboda, and S. Petra, “A novel convex relaxation for non binary discrete tomography,” presented at the SSVM: Scale Space and Variational Methods in Computer Vision, Kolding, Denmark, 2017, vol. 10302, pp. 235–246.' ista: 'Kuske J, Swoboda P, Petra S. 2017. A novel convex relaxation for non binary discrete tomography. SSVM: Scale Space and Variational Methods in Computer Vision, LNCS, vol. 10302, 235–246.' mla: Kuske, Jan, et al. A Novel Convex Relaxation for Non Binary Discrete Tomography. Edited by François Lauze et al., vol. 10302, Springer, 2017, pp. 235–46, doi:10.1007/978-3-319-58771-4_19. short: J. Kuske, P. Swoboda, S. Petra, in:, F. Lauze, Y. Dong, A. Bjorholm Dahl (Eds.), Springer, 2017, pp. 235–246. conference: end_date: 2017-06-08 location: Kolding, Denmark name: 'SSVM: Scale Space and Variational Methods in Computer Vision' start_date: 2017-06-04 date_created: 2018-12-11T11:47:41Z date_published: 2017-06-01T00:00:00Z date_updated: 2021-01-12T08:07:34Z day: '01' department: - _id: VlKo doi: 10.1007/978-3-319-58771-4_19 ec_funded: 1 editor: - first_name: François full_name: Lauze, François last_name: Lauze - first_name: Yiqiu full_name: Dong, Yiqiu last_name: Dong - first_name: Anders full_name: Bjorholm Dahl, Anders last_name: Bjorholm Dahl intvolume: ' 10302' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/abs/1703.03769 month: '06' oa: 1 oa_version: Submitted Version page: 235 - 246 project: - _id: 25FBA906-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '616160' name: 'Discrete Optimization in Computer Vision: Theory and Practice' publication_identifier: isbn: - 978-331958770-7 publication_status: published publisher: Springer publist_id: '7132' quality_controlled: '1' scopus_import: 1 status: public title: A novel convex relaxation for non binary discrete tomography type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 10302 year: '2017' ... --- _id: '648' abstract: - lang: eng text: 'Pseudoentropy has found a lot of important applications to cryptography and complexity theory. In this paper we focus on the foundational problem that has not been investigated so far, namely by how much pseudoentropy (the amount seen by computationally bounded attackers) differs from its information-theoretic counterpart (seen by unbounded observers), given certain limits on attacker’s computational power? We provide the following answer for HILL pseudoentropy, which exhibits a threshold behavior around the size exponential in the entropy amount:– If the attacker size (s) and advantage () satisfy s (formula presented) where k is the claimed amount of pseudoentropy, then the pseudoentropy boils down to the information-theoretic smooth entropy. – If s (formula presented) then pseudoentropy could be arbitrarily bigger than the information-theoretic smooth entropy. Besides answering the posted question, we show an elegant application of our result to the complexity theory, namely that it implies the clas-sical result on the existence of functions hard to approximate (due to Pippenger). In our approach we utilize non-constructive techniques: the duality of linear programming and the probabilistic method.' alternative_title: - LNCS author: - first_name: Maciej full_name: Skórski, Maciej id: EC09FA6A-02D0-11E9-8223-86B7C91467DD last_name: Skórski citation: ama: 'Skórski M. On the complexity of breaking pseudoentropy. In: Jäger G, Steila S, eds. Vol 10185. Springer; 2017:600-613. doi:10.1007/978-3-319-55911-7_43' apa: 'Skórski, M. (2017). On the complexity of breaking pseudoentropy. In G. Jäger & S. Steila (Eds.) (Vol. 10185, pp. 600–613). Presented at the TAMC: Theory and Applications of Models of Computation, Bern, Switzerland: Springer. https://doi.org/10.1007/978-3-319-55911-7_43' chicago: Skórski, Maciej. “On the Complexity of Breaking Pseudoentropy.” edited by Gerhard Jäger and Silvia Steila, 10185:600–613. Springer, 2017. https://doi.org/10.1007/978-3-319-55911-7_43. ieee: 'M. Skórski, “On the complexity of breaking pseudoentropy,” presented at the TAMC: Theory and Applications of Models of Computation, Bern, Switzerland, 2017, vol. 10185, pp. 600–613.' ista: 'Skórski M. 2017. On the complexity of breaking pseudoentropy. TAMC: Theory and Applications of Models of Computation, LNCS, vol. 10185, 600–613.' mla: Skórski, Maciej. On the Complexity of Breaking Pseudoentropy. Edited by Gerhard Jäger and Silvia Steila, vol. 10185, Springer, 2017, pp. 600–13, doi:10.1007/978-3-319-55911-7_43. short: M. Skórski, in:, G. Jäger, S. Steila (Eds.), Springer, 2017, pp. 600–613. conference: end_date: 2017-04-22 location: Bern, Switzerland name: 'TAMC: Theory and Applications of Models of Computation' start_date: 2017-04-20 date_created: 2018-12-11T11:47:42Z date_published: 2017-04-01T00:00:00Z date_updated: 2021-01-12T08:07:39Z day: '01' department: - _id: KrPi doi: 10.1007/978-3-319-55911-7_43 editor: - first_name: Gerhard full_name: Jäger, Gerhard last_name: Jäger - first_name: Silvia full_name: Steila, Silvia last_name: Steila intvolume: ' 10185' language: - iso: eng main_file_link: - open_access: '1' url: https://eprint.iacr.org/2016/1186.pdf month: '04' oa: 1 oa_version: Submitted Version page: 600 - 613 publication_identifier: isbn: - 978-331955910-0 publication_status: published publisher: Springer publist_id: '7125' quality_controlled: '1' scopus_import: 1 status: public title: On the complexity of breaking pseudoentropy type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 10185 year: '2017' ... --- _id: '649' abstract: - lang: eng text: We give a short overview on a recently developed notion of Ricci curvature for discrete spaces. This notion relies on geodesic convexity properties of the relative entropy along geodesics in the space of probability densities, for a metric which is similar to (but different from) the 2-Wasserstein metric. The theory can be considered as a discrete counterpart to the theory of Ricci curvature for geodesic measure spaces developed by Lott–Sturm–Villani. article_processing_charge: No author: - first_name: Jan full_name: Maas, Jan id: 4C5696CE-F248-11E8-B48F-1D18A9856A87 last_name: Maas orcid: 0000-0002-0845-1338 citation: ama: 'Maas J. Entropic Ricci curvature for discrete spaces. In: Najman L, Romon P, eds. Modern Approaches to Discrete Curvature. Vol 2184. Lecture Notes in Mathematics. Springer; 2017:159-174. doi:10.1007/978-3-319-58002-9_5' apa: Maas, J. (2017). Entropic Ricci curvature for discrete spaces. In L. Najman & P. Romon (Eds.), Modern Approaches to Discrete Curvature (Vol. 2184, pp. 159–174). Springer. https://doi.org/10.1007/978-3-319-58002-9_5 chicago: Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” In Modern Approaches to Discrete Curvature, edited by Laurent Najman and Pascal Romon, 2184:159–74. Lecture Notes in Mathematics. Springer, 2017. https://doi.org/10.1007/978-3-319-58002-9_5. ieee: J. Maas, “Entropic Ricci curvature for discrete spaces,” in Modern Approaches to Discrete Curvature, vol. 2184, L. Najman and P. Romon, Eds. Springer, 2017, pp. 159–174. ista: 'Maas J. 2017.Entropic Ricci curvature for discrete spaces. In: Modern Approaches to Discrete Curvature. vol. 2184, 159–174.' mla: Maas, Jan. “Entropic Ricci Curvature for Discrete Spaces.” Modern Approaches to Discrete Curvature, edited by Laurent Najman and Pascal Romon, vol. 2184, Springer, 2017, pp. 159–74, doi:10.1007/978-3-319-58002-9_5. short: J. Maas, in:, L. Najman, P. Romon (Eds.), Modern Approaches to Discrete Curvature, Springer, 2017, pp. 159–174. date_created: 2018-12-11T11:47:42Z date_published: 2017-10-05T00:00:00Z date_updated: 2022-05-24T07:01:33Z day: '05' department: - _id: JaMa doi: 10.1007/978-3-319-58002-9_5 editor: - first_name: Laurent full_name: Najman, Laurent last_name: Najman - first_name: Pascal full_name: Romon, Pascal last_name: Romon intvolume: ' 2184' language: - iso: eng month: '10' oa_version: None page: 159 - 174 publication: Modern Approaches to Discrete Curvature publication_identifier: eissn: - 978-3-319-58002-9 isbn: - 978-3-319-58001-2 publication_status: published publisher: Springer publist_id: '7123' quality_controlled: '1' scopus_import: '1' series_title: Lecture Notes in Mathematics status: public title: Entropic Ricci curvature for discrete spaces type: book_chapter user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 2184 year: '2017' ... --- _id: '650' abstract: - lang: eng text: 'In this work we present a short and unified proof for the Strong and Weak Regularity Lemma, based on the cryptographic tech-nique called low-complexity approximations. In short, both problems reduce to a task of finding constructively an approximation for a certain target function under a class of distinguishers (test functions), where dis-tinguishers are combinations of simple rectangle-indicators. In our case these approximations can be learned by a simple iterative procedure, which yields a unified and simple proof, achieving for any graph with density d and any approximation parameter the partition size. The novelty in our proof is: (a) a simple approach which yields both strong and weaker variant, and (b) improvements when d = o(1). At an abstract level, our proof can be seen a refinement and simplification of the “analytic” proof given by Lovasz and Szegedy.' alternative_title: - LNCS author: - first_name: Maciej full_name: Skórski, Maciej id: EC09FA6A-02D0-11E9-8223-86B7C91467DD last_name: Skórski citation: ama: 'Skórski M. A cryptographic view of regularity lemmas: Simpler unified proofs and refined bounds. In: Jäger G, Steila S, eds. Vol 10185. Springer; 2017:586-599. doi:10.1007/978-3-319-55911-7_42' apa: 'Skórski, M. (2017). A cryptographic view of regularity lemmas: Simpler unified proofs and refined bounds. In G. Jäger & S. Steila (Eds.) (Vol. 10185, pp. 586–599). Presented at the TAMC: Theory and Applications of Models of Computation, Bern, Switzerland: Springer. https://doi.org/10.1007/978-3-319-55911-7_42' chicago: 'Skórski, Maciej. “A Cryptographic View of Regularity Lemmas: Simpler Unified Proofs and Refined Bounds.” edited by Gerhard Jäger and Silvia Steila, 10185:586–99. Springer, 2017. https://doi.org/10.1007/978-3-319-55911-7_42.' ieee: 'M. Skórski, “A cryptographic view of regularity lemmas: Simpler unified proofs and refined bounds,” presented at the TAMC: Theory and Applications of Models of Computation, Bern, Switzerland, 2017, vol. 10185, pp. 586–599.' ista: 'Skórski M. 2017. A cryptographic view of regularity lemmas: Simpler unified proofs and refined bounds. TAMC: Theory and Applications of Models of Computation, LNCS, vol. 10185, 586–599.' mla: 'Skórski, Maciej. A Cryptographic View of Regularity Lemmas: Simpler Unified Proofs and Refined Bounds. Edited by Gerhard Jäger and Silvia Steila, vol. 10185, Springer, 2017, pp. 586–99, doi:10.1007/978-3-319-55911-7_42.' short: M. Skórski, in:, G. Jäger, S. Steila (Eds.), Springer, 2017, pp. 586–599. conference: end_date: 2017-04-22 location: Bern, Switzerland name: 'TAMC: Theory and Applications of Models of Computation' start_date: 2017-04-20 date_created: 2018-12-11T11:47:42Z date_published: 2017-01-01T00:00:00Z date_updated: 2021-01-12T08:07:46Z day: '01' department: - _id: KrPi doi: 10.1007/978-3-319-55911-7_42 editor: - first_name: Gerhard full_name: Jäger, Gerhard last_name: Jäger - first_name: Silvia full_name: Steila, Silvia last_name: Steila intvolume: ' 10185' language: - iso: eng main_file_link: - open_access: '1' url: https://eprint.iacr.org/2016/965.pdf month: '01' oa: 1 oa_version: Submitted Version page: 586 - 599 publication_identifier: issn: - '03029743' publication_status: published publisher: Springer publist_id: '7119' quality_controlled: '1' scopus_import: 1 status: public title: 'A cryptographic view of regularity lemmas: Simpler unified proofs and refined bounds' type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 10185 year: '2017' ... --- _id: '6519' abstract: - lang: eng text: 'Graph games with omega-regular winning conditions provide a mathematical framework to analyze a wide range of problems in the analysis of reactive systems and programs (such as the synthesis of reactive systems, program repair, and the verification of branching time properties). Parity conditions are canonical forms to specify omega-regular winning conditions. Graph games with parity conditions are equivalent to mu-calculus model checking, and thus a very important algorithmic problem. Symbolic algorithms are of great significance because they provide scalable algorithms for the analysis of large finite-state systems, as well as algorithms for the analysis of infinite-state systems with finite quotient. A set-based symbolic algorithm uses the basic set operations and the one-step predecessor operators. We consider graph games with n vertices and parity conditions with c priorities (equivalently, a mu-calculus formula with c alternations of least and greatest fixed points). While many explicit algorithms exist for graph games with parity conditions, for set-based symbolic algorithms there are only two algorithms (notice that we use space to refer to the number of sets stored by a symbolic algorithm): (a) the basic algorithm that requires O(n^c) symbolic operations and linear space; and (b) an improved algorithm that requires O(n^{c/2+1}) symbolic operations but also O(n^{c/2+1}) space (i.e., exponential space). In this work we present two set-based symbolic algorithms for parity games: (a) our first algorithm requires O(n^{c/2+1}) symbolic operations and only requires linear space; and (b) developing on our first algorithm, we present an algorithm that requires O(n^{c/3+1}) symbolic operations and only linear space. We also present the first linear space set-based symbolic algorithm for parity games that requires at most a sub-exponential number of symbolic operations. ' article_number: '18' article_processing_charge: No author: - first_name: Krishnendu full_name: Chatterjee, Krishnendu id: 2E5DCA20-F248-11E8-B48F-1D18A9856A87 last_name: Chatterjee orcid: 0000-0002-4561-241X - first_name: Wolfgang full_name: Dvorák, Wolfgang last_name: Dvorák - first_name: Monika H full_name: Henzinger, Monika H id: 540c9bbd-f2de-11ec-812d-d04a5be85630 last_name: Henzinger orcid: 0000-0002-5008-6530 - first_name: Veronika full_name: Loitzenbauer, Veronika last_name: Loitzenbauer citation: ama: 'Chatterjee K, Dvorák W, Henzinger MH, Loitzenbauer V. Improved set-based symbolic algorithms for parity games. In: Vol 82. Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik; 2017. doi:10.4230/LIPICS.CSL.2017.18' apa: 'Chatterjee, K., Dvorák, W., Henzinger, M. H., & Loitzenbauer, V. (2017). Improved set-based symbolic algorithms for parity games (Vol. 82). Presented at the CSL: Conference on Computer Science Logic, Stockholm, Sweden: Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik. https://doi.org/10.4230/LIPICS.CSL.2017.18' chicago: Chatterjee, Krishnendu, Wolfgang Dvorák, Monika H Henzinger, and Veronika Loitzenbauer. “Improved Set-Based Symbolic Algorithms for Parity Games,” Vol. 82. Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, 2017. https://doi.org/10.4230/LIPICS.CSL.2017.18. ieee: 'K. Chatterjee, W. Dvorák, M. H. Henzinger, and V. Loitzenbauer, “Improved set-based symbolic algorithms for parity games,” presented at the CSL: Conference on Computer Science Logic, Stockholm, Sweden, 2017, vol. 82.' ista: 'Chatterjee K, Dvorák W, Henzinger MH, Loitzenbauer V. 2017. Improved set-based symbolic algorithms for parity games. CSL: Conference on Computer Science Logic vol. 82, 18.' mla: Chatterjee, Krishnendu, et al. Improved Set-Based Symbolic Algorithms for Parity Games. Vol. 82, 18, Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, 2017, doi:10.4230/LIPICS.CSL.2017.18. short: K. Chatterjee, W. Dvorák, M.H. Henzinger, V. Loitzenbauer, in:, Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik, 2017. conference: end_date: 2017-08-24 location: Stockholm, Sweden name: 'CSL: Conference on Computer Science Logic' start_date: 2017-08-20 date_created: 2019-06-04T12:42:43Z date_published: 2017-08-01T00:00:00Z date_updated: 2023-02-14T10:08:25Z day: '01' ddc: - '004' department: - _id: KrCh doi: 10.4230/LIPICS.CSL.2017.18 ec_funded: 1 file: - access_level: open_access checksum: 7c2c9d09970af79026d7e37d9b632ef8 content_type: application/pdf creator: kschuh date_created: 2019-06-04T12:56:52Z date_updated: 2020-07-14T12:47:33Z file_id: '6520' file_name: 2017_LIPIcs-Chatterjee.pdf file_size: 710185 relation: main_file file_date_updated: 2020-07-14T12:47:33Z has_accepted_license: '1' intvolume: ' 82' language: - iso: eng license: https://creativecommons.org/licenses/by/3.0/ month: '08' oa: 1 oa_version: Published Version project: - _id: 25832EC2-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: S 11407_N23 name: Rigorous Systems Engineering - _id: 2581B60A-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '279307' name: 'Quantitative Graph Games: Theory and Applications' - _id: 25892FC0-B435-11E9-9278-68D0E5697425 grant_number: ICT15-003 name: Efficient Algorithms for Computer Aided Verification publication_status: published publisher: Schloss Dagstuhl -Leibniz-Zentrum fuer Informatik quality_controlled: '1' scopus_import: '1' status: public title: Improved set-based symbolic algorithms for parity games tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/3.0/legalcode name: Creative Commons Attribution 3.0 Unported (CC BY 3.0) short: CC BY (3.0) type: conference user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87 volume: 82 year: '2017' ... --- _id: '6517' abstract: - lang: eng text: A (possibly degenerate) drawing of a graph G in the plane is approximable by an embedding if it can be turned into an embedding by an arbitrarily small perturbation. We show that testing, whether a drawing of a planar graph G in the plane is approximable by an embedding, can be carried out in polynomial time, if a desired embedding of G belongs to a fixed isotopy class, i.e., the rotation system (or equivalently the faces) of the embedding of G and the choice of outer face are fixed. In other words, we show that c-planarity with embedded pipes is tractable for graphs with fixed embeddings. To the best of our knowledge an analogous result was previously known essentially only when G is a cycle. article_number: '34' author: - first_name: Radoslav full_name: Fulek, Radoslav id: 39F3FFE4-F248-11E8-B48F-1D18A9856A87 last_name: Fulek orcid: 0000-0001-8485-1774 citation: ama: 'Fulek R. Embedding graphs into embedded graphs. In: Vol 92. Schloss Dagstuhl - Leibniz-Zentrum für Informatik; 2017. doi:10.4230/LIPICS.ISAAC.2017.34' apa: 'Fulek, R. (2017). Embedding graphs into embedded graphs (Vol. 92). Presented at the ISAAC: International Symposium on Algorithms and Computation, Phuket, Thailand: Schloss Dagstuhl - Leibniz-Zentrum für Informatik. https://doi.org/10.4230/LIPICS.ISAAC.2017.34' chicago: Fulek, Radoslav. “Embedding Graphs into Embedded Graphs,” Vol. 92. Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. https://doi.org/10.4230/LIPICS.ISAAC.2017.34. ieee: 'R. Fulek, “Embedding graphs into embedded graphs,” presented at the ISAAC: International Symposium on Algorithms and Computation, Phuket, Thailand, 2017, vol. 92.' ista: 'Fulek R. 2017. Embedding graphs into embedded graphs. ISAAC: International Symposium on Algorithms and Computation vol. 92, 34.' mla: Fulek, Radoslav. Embedding Graphs into Embedded Graphs. Vol. 92, 34, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017, doi:10.4230/LIPICS.ISAAC.2017.34. short: R. Fulek, in:, Schloss Dagstuhl - Leibniz-Zentrum für Informatik, 2017. conference: end_date: 2017-12-22 location: Phuket, Thailand name: 'ISAAC: International Symposium on Algorithms and Computation' start_date: 2017-12-09 date_created: 2019-06-04T12:11:52Z date_published: 2017-12-01T00:00:00Z date_updated: 2021-01-12T08:07:51Z day: '01' ddc: - '510' department: - _id: UlWa doi: 10.4230/LIPICS.ISAAC.2017.34 ec_funded: 1 file: - access_level: open_access checksum: fc7a643e29621c8bbe49d36b39081f31 content_type: application/pdf creator: kschuh date_created: 2019-06-04T12:20:35Z date_updated: 2020-07-14T12:47:33Z file_id: '6518' file_name: 2017_LIPIcs-Fulek.pdf file_size: 588982 relation: main_file file_date_updated: 2020-07-14T12:47:33Z has_accepted_license: '1' intvolume: ' 92' language: - iso: eng month: '12' oa: 1 oa_version: Published Version project: - _id: 25681D80-B435-11E9-9278-68D0E5697425 call_identifier: FP7 grant_number: '291734' name: International IST Postdoc Fellowship Programme - _id: 261FA626-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: M02281 name: Eliminating intersections in drawings of graphs publication_status: published publisher: Schloss Dagstuhl - Leibniz-Zentrum für Informatik quality_controlled: '1' scopus_import: 1 status: public title: Embedding graphs into embedded graphs tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 volume: 92 year: '2017' ... --- _id: '652' abstract: - lang: eng text: 'We present an approach that enables robots to self-organize their sensorimotor behavior from scratch without providing specific information about neither the robot nor its environment. This is achieved by a simple neural control law that increases the consistency between external sensor dynamics and internal neural dynamics of the utterly simple controller. In this way, the embodiment and the agent-environment coupling are the only source of individual development. We show how an anthropomorphic tendon driven arm-shoulder system develops different behaviors depending on that coupling. For instance: Given a bottle half-filled with water, the arm starts to shake it, driven by the physical response of the water. When attaching a brush, the arm can be manipulated into wiping a table, and when connected to a revolvable wheel it finds out how to rotate it. Thus, the robot may be said to discover the affordances of the world. When allowing two (simulated) humanoid robots to interact physically, they engage into a joint behavior development leading to, for instance, spontaneous cooperation. More social effects are observed if the robots can visually perceive each other. Although, as an observer, it is tempting to attribute an apparent intentionality, there is nothing of the kind put in. As a conclusion, we argue that emergent behavior may be much less rooted in explicit intentions, internal motivations, or specific reward systems than is commonly believed.' article_number: '7846789' author: - first_name: Ralf full_name: Der, Ralf last_name: Der - first_name: Georg S full_name: Martius, Georg S id: 3A276B68-F248-11E8-B48F-1D18A9856A87 last_name: Martius citation: ama: 'Der R, Martius GS. Dynamical self consistency leads to behavioral development and emergent social interactions in robots. In: IEEE; 2017. doi:10.1109/DEVLRN.2016.7846789' apa: 'Der, R., & Martius, G. S. (2017). Dynamical self consistency leads to behavioral development and emergent social interactions in robots. Presented at the ICDL EpiRob: International Conference on Development and Learning and Epigenetic Robotics , Cergy-Pontoise, France: IEEE. https://doi.org/10.1109/DEVLRN.2016.7846789' chicago: Der, Ralf, and Georg S Martius. “Dynamical Self Consistency Leads to Behavioral Development and Emergent Social Interactions in Robots.” IEEE, 2017. https://doi.org/10.1109/DEVLRN.2016.7846789. ieee: 'R. Der and G. S. Martius, “Dynamical self consistency leads to behavioral development and emergent social interactions in robots,” presented at the ICDL EpiRob: International Conference on Development and Learning and Epigenetic Robotics , Cergy-Pontoise, France, 2017.' ista: 'Der R, Martius GS. 2017. Dynamical self consistency leads to behavioral development and emergent social interactions in robots. ICDL EpiRob: International Conference on Development and Learning and Epigenetic Robotics , 7846789.' mla: Der, Ralf, and Georg S. Martius. Dynamical Self Consistency Leads to Behavioral Development and Emergent Social Interactions in Robots. 7846789, IEEE, 2017, doi:10.1109/DEVLRN.2016.7846789. short: R. Der, G.S. Martius, in:, IEEE, 2017. conference: end_date: 2016-09-22 location: Cergy-Pontoise, France name: 'ICDL EpiRob: International Conference on Development and Learning and Epigenetic Robotics ' start_date: 2016-09-19 date_created: 2018-12-11T11:47:43Z date_published: 2017-02-07T00:00:00Z date_updated: 2021-01-12T08:07:51Z day: '07' department: - _id: ChLa - _id: GaTk doi: 10.1109/DEVLRN.2016.7846789 language: - iso: eng month: '02' oa_version: None publication_identifier: isbn: - 978-150905069-7 publication_status: published publisher: IEEE publist_id: '7100' quality_controlled: '1' scopus_import: 1 status: public title: Dynamical self consistency leads to behavioral development and emergent social interactions in robots type: conference user_id: 3E5EF7F0-F248-11E8-B48F-1D18A9856A87 year: '2017' ... --- _id: '651' abstract: - lang: eng text: "Superhydrophobic surfaces reduce the frictional drag between water and solid materials, but this effect is often temporary. The realization of sustained drag reduction has applications for water vehicles and pipeline flows.\r\n\r\n" author: - first_name: Björn full_name: Hof, Björn id: 3A374330-F248-11E8-B48F-1D18A9856A87 last_name: Hof orcid: 0000-0003-2057-2754 citation: ama: 'Hof B. Fluid dynamics: Water flows out of touch. Nature. 2017;541(7636):161-162. doi:10.1038/541161a' apa: 'Hof, B. (2017). Fluid dynamics: Water flows out of touch. Nature. Nature Publishing Group. https://doi.org/10.1038/541161a' chicago: 'Hof, Björn. “Fluid Dynamics: Water Flows out of Touch.” Nature. Nature Publishing Group, 2017. https://doi.org/10.1038/541161a.' ieee: 'B. Hof, “Fluid dynamics: Water flows out of touch,” Nature, vol. 541, no. 7636. Nature Publishing Group, pp. 161–162, 2017.' ista: 'Hof B. 2017. Fluid dynamics: Water flows out of touch. Nature. 541(7636), 161–162.' mla: 'Hof, Björn. “Fluid Dynamics: Water Flows out of Touch.” Nature, vol. 541, no. 7636, Nature Publishing Group, 2017, pp. 161–62, doi:10.1038/541161a.' short: B. Hof, Nature 541 (2017) 161–162. date_created: 2018-12-11T11:47:43Z date_published: 2017-01-11T00:00:00Z date_updated: 2021-01-12T08:07:49Z day: '11' department: - _id: BjHo doi: 10.1038/541161a intvolume: ' 541' issue: '7636' language: - iso: eng month: '01' oa_version: None page: 161 - 162 publication: Nature publication_identifier: issn: - '00280836' publication_status: published publisher: Nature Publishing Group publist_id: '7116' quality_controlled: '1' scopus_import: 1 status: public title: 'Fluid dynamics: Water flows out of touch' type: journal_article user_id: 4435EBFC-F248-11E8-B48F-1D18A9856A87 volume: 541 year: '2017' ...