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In this paper, we present a novel MaxSAT-based technique to compute Maximum Probability Minimal Cut Sets (MPMCSs) in fault trees. We model the MPMCS problem as a Weighted Partial MaxSAT problem and solve it using a parallel SAT-solving…

Artificial Intelligence · Computer Science 2020-05-08 Martín Barrère , Chris Hankin

We present an approach to improve the accuracy-interpretability trade-off of Machine Learning (ML) Decision Trees (DTs). In particular, we apply Maximum Satisfiability technology to compute Minimum Pure DTs (MPDTs). We improve the runtime…

Artificial Intelligence · Computer Science 2022-07-15 Josep Alos , Carlos Ansotegui , Eduard Torres

The wide adoption of machine learning approaches in the industry, government, medicine and science has renewed the interest in interpretable machine learning: many decisions are too important to be delegated to black-box techniques such as…

Artificial Intelligence · Computer Science 2018-12-06 Dmitry Malioutov , Kuldeep S. Meel

This paper presents a MaxSAT benchmark focused on identifying critical nodes in AND/OR graphs. We use AND/OR graphs to model Industrial Control Systems (ICS) as they are able to semantically grasp intricate logical interdependencies among…

Cryptography and Security · Computer Science 2019-11-05 Martín Barrère , Chris Hankin , Nicolas Nicolau , Demetrios G. Eliades , Thomas Parisini

It has been shown that Maximum Satisfiability (MaxSAT) problem instances can be effectively solved by partitioning the set of soft clauses into several disjoint sets. The partitioning methods can be based on clause weights (e.g.,…

Artificial Intelligence · Computer Science 2023-05-26 Pedro Orvalho , Vasco Manquinho , Ruben Martins

Incomplete MaxSAT solving aims to quickly find a solution that attempts to minimize the sum of the weights of the unsatisfied soft clauses without providing any optimality guarantees. In this paper, we propose two approximation strategies…

Logic in Computer Science · Computer Science 2018-06-20 Saurabh Joshi , Prateek Kumar , Ruben Martins , Sukrut Rao

We propose an incomplete algorithm for Maximum Satisfiability (MaxSAT) specifically designed to run on neural network accelerators such as GPUs and TPUs. Given a MaxSAT problem instance in conjunctive normal form, our procedure constructs a…

Artificial Intelligence · Computer Science 2023-11-07 David Warde-Farley , Vinod Nair , Yujia Li , Ivan Lobov , Felix Gimeno , Simon Osindero

The growing interest in explainable artificial intelligence (XAI) for critical decision making motivates the need for interpretable machine learning (ML) models. In fact, due to their structure (especially with small sizes), these models…

Artificial Intelligence · Computer Science 2022-03-23 Hao Hu , Marie-José Huguet , Mohamed Siala

Decision trees are a widely used method for classification, both by themselves and as the building blocks of multiple different ensemble learning methods. The Max-Cut decision tree involves novel modifications to a standard, baseline model…

Machine Learning · Computer Science 2020-06-26 Jonathan Bodine , Dorit S. Hochbaum

Partial Maximum Satisfiability (PMS) and Weighted Partial Maximum Satisfiability (WPMS) generalize Maximum Satisfiability (MaxSAT), with broad real-world applications. Recent advances in Stochastic Local Search (SLS) algorithms for solving…

Artificial Intelligence · Computer Science 2025-12-08 Menghua Jiang , Haokai Gao , Shuhao Chen , Yin Chen

Recent work proposed the UCTMAXSAT algorithm to address Maximum Satisfiability Problems (MaxSAT) and shown improved performance over pure Stochastic Local Search algorithms (SLS). UCTMAXSAT is based on Monte Carlo Tree Search but it uses…

Artificial Intelligence · Computer Science 2023-02-28 Hui Wang , Abdallah Saffidine , Tristan Cazenave

Weighted Max-SAT is the optimization version of SAT and many important problems can be naturally encoded as such. Solving weighted Max-SAT is an important problem from both a theoretical and a practical point of view. In recent years, there…

Artificial Intelligence · Computer Science 2007-05-23 Javier Larrosa , Federico Heras , Simon de Givry

This paper is aimed to investigate some computational aspects of different isoperimetric problems on weighted trees. In this regard, we consider different connectivity parameters called {\it minimum normalized cuts}/{\it isoperimteric…

Computational Complexity · Computer Science 2010-09-06 Amir Daneshgar , Ramin Javadi

A network is represented as a graph consisting of nodes and edges. A cut set for a source-destination pair in a network is a set of elements that, when failed, cause the source-destination pair to lose connectivity. A Minimal Cut Set (MCS)…

Networking and Internet Architecture · Computer Science 2026-02-20 Shakthivelu Janardhanan , Yaxuan Chen , Wolfgang Kellerer , Carmen Mas-Machuca

MaxSAT is an optimization version of the famous NP-complete Satisfiability problem (SAT). Algorithms for MaxSAT mainly include complete solvers and local search incomplete solvers. In many complete solvers, once a better solution is found,…

Artificial Intelligence · Computer Science 2024-01-22 Jiongzhi Zheng , Zhuo Chen , Chu-Min Li , Kun He

Maximum Satisfiability (MaxSAT) is a well-known optimization pro- blem, with several practical applications. The most widely known MAXS AT algorithms are ineffective at solving hard problems instances from practical application domains.…

Artificial Intelligence · Computer Science 2007-12-10 Joao Marques-Silva , Jordi Planes

We study the optimization version of constraint satisfaction problems (Max-CSPs) in the framework of parameterized complexity; the goal is to compute the maximum fraction of constraints that can be satisfied simultaneously. In standard…

Computational Complexity · Computer Science 2018-04-24 Holger Dell , Eun Jung Kim , Michael Lampis , Valia Mitsou , Tobias Mömke

The Maximum Satisfiability (MaxSAT) problem is the problem of finding a truth assignment that maximizes the number of satisfied clauses of a given Boolean formula in Conjunctive Normal Form (CNF). Many exact solvers for MaxSAT have been…

Artificial Intelligence · Computer Science 2018-06-13 Mohamed El Halaby

We present a Satisfiability (SAT)-based approach for building Mixed Covering Arrays with Constraints of minimum length, referred to as the Covering Array Number problem. This problem is central in Combinatorial Testing for the detection of…

Artificial Intelligence · Computer Science 2021-05-27 Carlos Ansótegui , Felip Manyà , Jesus Ojeda , Josep M. Salvia , Eduard Torres

Extreme multi-label classification (XMLC) is a learning task of tagging instances with a small subset of relevant labels chosen from an extremely large pool of possible labels. Problems of this scale can be efficiently handled by organizing…

Machine Learning · Computer Science 2020-09-24 Kalina Jasinska-Kobus , Marek Wydmuch , Krzysztof Dembczynski , Mikhail Kuznetsov , Robert Busa-Fekete
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