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We propose and investigate probabilistic guarantees for the adversarial robustness of classification algorithms. While traditional formal verification approaches for robustness are intractable and sampling-based approaches do not provide…

Machine Learning · Computer Science 2025-11-11 Peter Blohm , Patrick Indri , Thomas Gärtner , Sagar Malhotra

Traditional pattern mining algorithms generally suffer from a lack of flexibility. In this paper, we propose a SAT formulation of the problem to successfully mine frequent flexible sequences occurring in transactional datasets. Our…

Artificial Intelligence · Computer Science 2016-04-04 Rémi Coletta , Benjamin Negrevergne

More capable language models increasingly saturate existing task benchmarks, in some cases outperforming humans. This has left little headroom with which to measure further progress. Adversarial dataset creation has been proposed as a…

Computation and Language · Computer Science 2021-11-17 Jason Phang , Angelica Chen , William Huang , Samuel R. Bowman

A wide range of constraints can be compactly specified using automata or formal languages. In a sequence of recent papers, we have shown that an effective means to reason with such specifications is to decompose them into primitive…

Artificial Intelligence · Computer Science 2009-03-04 Claude-Guy Quimper , Toby Walsh

Anytime heuristic search algorithms try to find a (potentially suboptimal) solution as quickly as possible and then work to find better and better solutions until an optimal solution is obtained or time is exhausted. The most widely-known…

Artificial Intelligence · Computer Science 2023-12-21 Sofia Lemons , Wheeler Ruml , Robert C. Holte , Carlos Linares López

Motivated by safety-critical applications, test-time attacks on classifiers via adversarial examples has recently received a great deal of attention. However, there is a general lack of understanding on why adversarial examples arise;…

Machine Learning · Statistics 2019-06-20 Yizhen Wang , Somesh Jha , Kamalika Chaudhuri

The class PLS (Polynomial Local Search) captures the complexity of finding a solution that is locally optimal and has proven to be an important concept in the theory of local search. It has been shown that local search versions of various…

Data Structures and Algorithms · Computer Science 2025-12-16 Yasuaki Kobayashi , Kazuhiro Kurita , Yutaro Yamaguchi

Stochastic search algorithms are among the most sucessful approaches for solving hard combinatorial problems. A large class of stochastic search approaches can be cast into the framework of Las Vegas Algorithms (LVAs). As the run-time…

Artificial Intelligence · Computer Science 2013-02-01 Holger H. Hoos , Thomas Stutzle

A new stream of research was born in the last decade with the goal of mining itemsets of interest using Constraint Programming (CP). This has promoted a natural way to combine complex constraints in a highly flexible manner. Although CP…

Artificial Intelligence · Computer Science 2012-07-27 Rui Henriques , Inês Lynce , Vasco Manquinho

Experimental evaluation is an integral part in the design process of algorithms. Publicly available benchmark instances are widely used to evaluate methods in SAT solving. For the interpretation of results and the design of algorithm…

Artificial Intelligence · Computer Science 2021-09-10 Markus Iser , Luca Springer , Carsten Sinz

ExtractingMUCs(MinimalUnsatisfiableCores)fromanunsatisfiable constraint network is a useful process when causes of unsatisfiability must be understood so that the network can be re-engineered and relaxed to become sat- isfiable. Despite bad…

Artificial Intelligence · Computer Science 2013-07-16 Éric Grégoire , Jean-Marie Lagniez , Bertrand Mazure

We construct uniquely satisfiable $k$-CNF formulas that are hard for the algorithm PPSZ. Firstly, we construct graph-instances on which "weak PPSZ" has savings of at most $(2 + \epsilon) / k$; the saving of an algorithm on an input formula…

Computational Complexity · Computer Science 2017-09-06 Pavel Pudlák , Dominik Scheder , Navid Talebanfard

Boolean satisfiability (SAT) is a fundamental NP-complete problem with many applications, including automated planning and scheduling. To solve large instances, SAT solvers have to rely on heuristics, e.g., choosing a branching variable in…

Artificial Intelligence · Computer Science 2023-07-19 Mikhail Shirokikh , Ilya Shenbin , Anton Alekseev , Sergey Nikolenko

Recently Rubinfeld et al. (ICS 2011, pp. 223--238) proposed a new model of sublinear algorithms called \emph{local computation algorithms}. In this model, a computation problem $F$ may have more than one legal solution and each of them…

Data Structures and Algorithms · Computer Science 2011-12-01 Noga Alon , Ronitt Rubinfeld , Shai Vardi , Ning Xie

On the one hand, Constraint Satisfaction Problems allow one to declaratively model problems. On the other hand, propositional satisfiability problem (SAT) solvers can handle huge SAT instances. We thus present a technique to declaratively…

Artificial Intelligence · Computer Science 2014-07-01 Frédéric Lardeux , Eric Monfroy , Broderick Crawford , Ricardo Soto

It is crucial to generate crafted SAT formulas with predefined solutions for the testing and development of SAT solvers since many SAT formulas from real-world applications have solutions. Although some generating algorithms have been…

Artificial Intelligence · Computer Science 2019-02-27 Yamin Hu , Wenjian Luo , Junteng Wang

This work focuses on improving state-of-the-art in stochastic local search (SLS) for solving Boolean satisfiability (SAT) instances arising from real-world industrial SAT application domains. The recently introduced SLS method CRSat has…

Artificial Intelligence · Computer Science 2011-09-12 Anton Belov , Matti Järvisalo

Neural Architectures Search (NAS) becomes more and more popular over these years. However, NAS-generated models tends to suffer greater vulnerability to various malicious attacks. Lots of robust NAS methods leverage adversarial training to…

Machine Learning · Computer Science 2023-04-11 Xunyu Zhu , Jian Li , Yong Liu , Weiping Wang

In the article \The State of SAT", the authors asked whether a procedure dramatically different from DPLL can be found for handling unsatisfiable instances. This study proposes a new linear programming approach to address this issue…

Computational Complexity · Computer Science 2018-08-20 Chengling Fang , Jiang Liu

Let $\Phi$ be a random $k$-CNF formula on $n$ variables and $m$ clauses, where each clause is a disjunction of $k$ literals chosen independently and uniformly. Our goal is to sample an approximately uniform solution of $\Phi$ (or…

Data Structures and Algorithms · Computer Science 2023-06-12 Kun He , Kewen Wu , Kuan Yang