4 Search Results for "Gocht, Stephan"


Document
Anytime Weighted Model Counting with Approximation Guarantees for Probabilistic Inference

Authors: Alexandre Dubray, Pierre Schaus, and Siegfried Nijssen

Published in: LIPIcs, Volume 307, 30th International Conference on Principles and Practice of Constraint Programming (CP 2024)


Abstract
Weighted model counting (WMC) plays a central role in probabilistic reasoning. Given that this problem is #P-hard, harder instances can generally only be addressed using approximate techniques based on sampling, which provide statistical convergence guarantees: the longer a sampling process runs, the more accurate the WMC is likely to be. In this work, we propose a deterministic search-based approach that can also be stopped at any time and provides hard lower- and upper-bound guarantees on the true WMC. This approach uses a value heuristic that guides exploration first towards models with a high weight and leverages Limited Discrepancy Search to make the bounds converge faster. The validity, scalability, and convergence of our approach are tested and compared with state-of-the-art baseline methods on the problem of computing marginal probabilities in Bayesian networks and reliability estimation in probabilistic graphs.

Cite as

Alexandre Dubray, Pierre Schaus, and Siegfried Nijssen. Anytime Weighted Model Counting with Approximation Guarantees for Probabilistic Inference. In 30th International Conference on Principles and Practice of Constraint Programming (CP 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 307, pp. 10:1-10:16, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{dubray_et_al:LIPIcs.CP.2024.10,
  author =	{Dubray, Alexandre and Schaus, Pierre and Nijssen, Siegfried},
  title =	{{Anytime Weighted Model Counting with Approximation Guarantees for Probabilistic Inference}},
  booktitle =	{30th International Conference on Principles and Practice of Constraint Programming (CP 2024)},
  pages =	{10:1--10:16},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-336-2},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{307},
  editor =	{Shaw, Paul},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CP.2024.10},
  URN =		{urn:nbn:de:0030-drops-206956},
  doi =		{10.4230/LIPIcs.CP.2024.10},
  annote =	{Keywords: Projected Weighted Model Counting, Limited Discrepancy Search, Approximate Method, Probabilistic Inference}
}
Document
Global Benchmark Database

Authors: Markus Iser and Christoph Jabs

Published in: LIPIcs, Volume 305, 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)


Abstract
This paper presents Global Benchmark Database (GBD), a comprehensive suite of tools for provisioning and sustainably maintaining benchmark instances and their metadata. The availability of benchmark metadata is essential for many tasks in empirical research, e.g., for the data-driven compilation of benchmarks, the domain-specific analysis of runtime experiments, or the instance-specific selection of solvers. In this paper, we introduce the data model of GBD as well as its interfaces and provide examples of how to interact with them. We also demonstrate the integration of custom data sources and explain how to extend GBD with additional problem domains, instance formats and feature extractors.

Cite as

Markus Iser and Christoph Jabs. Global Benchmark Database. In 27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024). Leibniz International Proceedings in Informatics (LIPIcs), Volume 305, pp. 18:1-18:10, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2024)


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@InProceedings{iser_et_al:LIPIcs.SAT.2024.18,
  author =	{Iser, Markus and Jabs, Christoph},
  title =	{{Global Benchmark Database}},
  booktitle =	{27th International Conference on Theory and Applications of Satisfiability Testing (SAT 2024)},
  pages =	{18:1--18:10},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-334-8},
  ISSN =	{1868-8969},
  year =	{2024},
  volume =	{305},
  editor =	{Chakraborty, Supratik and Jiang, Jie-Hong Roland},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2024.18},
  URN =		{urn:nbn:de:0030-drops-205405},
  doi =		{10.4230/LIPIcs.SAT.2024.18},
  annote =	{Keywords: Maintenance and Distribution of Benchmark Instances and their Features}
}
Document
Certified CNF Translations for Pseudo-Boolean Solving

Authors: Stephan Gocht, Ruben Martins, Jakob Nordström, and Andy Oertel

Published in: LIPIcs, Volume 236, 25th International Conference on Theory and Applications of Satisfiability Testing (SAT 2022)


Abstract
The dramatic improvements in Boolean satisfiability (SAT) solving since the turn of the millennium have made it possible to leverage state-of-the-art conflict-driven clause learning (CDCL) solvers for many combinatorial problems in academia and industry, and the use of proof logging has played a crucial role in increasing the confidence that the results these solvers produce are correct. However, the fact that SAT proof logging is performed in conjunctive normal form (CNF) clausal format means that it has not been possible to extend guarantees of correctness to the use of SAT solvers for more expressive combinatorial paradigms, where the first step is an unverified translation of the input to CNF. In this work, we show how cutting-planes-based reasoning can provide proof logging for solvers that translate pseudo-Boolean (a.k.a. 0-1 integer linear) decision problems to CNF and then run CDCL. To support a wide range of encodings, we provide a uniform and easily extensible framework for proof logging of CNF translations. We are hopeful that this is just a first step towards providing a unified proof logging approach that will also extend to maximum satisfiability (MaxSAT) solving and pseudo-Boolean optimization in general.

Cite as

Stephan Gocht, Ruben Martins, Jakob Nordström, and Andy Oertel. Certified CNF Translations for Pseudo-Boolean Solving. In 25th International Conference on Theory and Applications of Satisfiability Testing (SAT 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 236, pp. 16:1-16:25, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{gocht_et_al:LIPIcs.SAT.2022.16,
  author =	{Gocht, Stephan and Martins, Ruben and Nordstr\"{o}m, Jakob and Oertel, Andy},
  title =	{{Certified CNF Translations for Pseudo-Boolean Solving}},
  booktitle =	{25th International Conference on Theory and Applications of Satisfiability Testing (SAT 2022)},
  pages =	{16:1--16:25},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-242-6},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{236},
  editor =	{Meel, Kuldeep S. and Strichman, Ofer},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.SAT.2022.16},
  URN =		{urn:nbn:de:0030-drops-166901},
  doi =		{10.4230/LIPIcs.SAT.2022.16},
  annote =	{Keywords: pseudo-Boolean solving, 0-1 integer linear program, proof logging, certifying algorithms, certified translation, CNF encoding, cutting planes}
}
Document
An Auditable Constraint Programming Solver

Authors: Stephan Gocht, Ciaran McCreesh, and Jakob Nordström

Published in: LIPIcs, Volume 235, 28th International Conference on Principles and Practice of Constraint Programming (CP 2022)


Abstract
We describe the design and implementation of a new constraint programming solver that can produce an auditable record of what problem was solved and how the solution was reached. As well as a solution, this solver provides an independently verifiable proof log demonstrating that the solution is correct. This proof log uses the VeriPB proof system, which is based upon cutting planes reasoning with extension variables. We explain how this system can support global constraints, variables with large domains, and reformulation, despite not natively understanding any of these concepts.

Cite as

Stephan Gocht, Ciaran McCreesh, and Jakob Nordström. An Auditable Constraint Programming Solver. In 28th International Conference on Principles and Practice of Constraint Programming (CP 2022). Leibniz International Proceedings in Informatics (LIPIcs), Volume 235, pp. 25:1-25:18, Schloss Dagstuhl – Leibniz-Zentrum für Informatik (2022)


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@InProceedings{gocht_et_al:LIPIcs.CP.2022.25,
  author =	{Gocht, Stephan and McCreesh, Ciaran and Nordstr\"{o}m, Jakob},
  title =	{{An Auditable Constraint Programming Solver}},
  booktitle =	{28th International Conference on Principles and Practice of Constraint Programming (CP 2022)},
  pages =	{25:1--25:18},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-240-2},
  ISSN =	{1868-8969},
  year =	{2022},
  volume =	{235},
  editor =	{Solnon, Christine},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/entities/document/10.4230/LIPIcs.CP.2022.25},
  URN =		{urn:nbn:de:0030-drops-166548},
  doi =		{10.4230/LIPIcs.CP.2022.25},
  annote =	{Keywords: Constraint programming, proof logging, auditable solving}
}
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