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Deploying deep reinforcement learning in safety-critical settings requires developing algorithms that obey hard constraints during exploration. This paper contributes a first approach toward enforcing formal safety constraints on end-to-end…

Artificial Intelligence · Computer Science 2020-07-03 Nathan Hunt , Nathan Fulton , Sara Magliacane , Nghia Hoang , Subhro Das , Armando Solar-Lezama

Despite significant advances in characterizing the highly nonconvex landscapes of constraint satisfaction problems, the good performance of certain algorithms in solving hard combinatorial optimization tasks remains poorly understood. This…

Disordered Systems and Neural Networks · Physics 2025-04-10 David Machado , Jonathan González-García , Roberto Mulet

A class of valued constraint satisfaction problems (VCSPs) is characterised by a valued constraint language, a fixed set of cost functions on a finite domain. An instance of the problem is specified by a sum of cost functions from the…

Computational Complexity · Computer Science 2015-11-24 Johan Thapper , Stanislav Zivny

We propose a multi-stage learning approach for pruning the search space of maximum clique enumeration, a fundamental computationally difficult problem arising in various network analysis tasks. In each stage, our approach learns the…

Machine Learning · Computer Science 2019-10-02 Marco Grassia , Juho Lauri , Sourav Dutta , Deepak Ajwani

In this paper, we consider the problem of finding perfectly balanced Boolean functions with high non-linearity values. Such functions have extensive applications in domains such as cryptography and error-correcting coding theory. We provide…

Neural and Evolutionary Computing · Computer Science 2023-06-16 Bruno Gašperov , Marko Đurasević , Domagoj Jakobović

A local search algorithm operating on an instance of a Boolean constraint satisfaction problem (in particular, k-SAT) can be viewed as a stochastic process traversing successive adjacent states in an ``energy landscape'' defined by the…

Computational Complexity · Computer Science 2007-05-23 Petteri Kaski

An overview of some methods of statistical physics applied to the analysis of algorithms for optimization problems (satisfiability of Boolean constraints, vertex cover of graphs, decoding, ...) with distributions of random inputs is…

Computational Complexity · Computer Science 2007-05-23 Simona Cocco , Remi Monasson , Andrea Montanari , Guilhem Semerjian

We study the parameterized problem of satisfying ``almost all'' constraints of a given formula $F$ over a fixed, finite Boolean constraint language $\Gamma$, with or without weights. More precisely, for each finite Boolean constraint…

Computational Complexity · Computer Science 2025-04-23 Eun Jung Kim , Stefan Kratsch , Marcin Pilipczuk , Magnus Wahlström

Dealing with environments with sparse rewards has always been crucial for systems developed to operate in autonomous open-ended learning settings. Intrinsic Motivations could be an effective way to help Deep Reinforcement Learning…

Machine Learning · Computer Science 2025-04-07 Gianluca Maselli , Vieri Giuliano Santucci

We provide preliminary details and formulation of an optimization strategy under current development that is able to automatically tune the parameters of a Support Vector Machine over new datasets. The optimization strategy is a heuristic…

Artificial Intelligence · Computer Science 2017-07-12 Sergio Consoli , Jacek Kustra , Pieter Vos , Monique Hendriks , Dimitrios Mavroeidis

The degree of a CSP instance is the maximum number of times that a variable may appear in the scope of constraints. We consider the approximate counting problem for Boolean CSPs with bounded-degree instances, for constraint languages…

Computational Complexity · Computer Science 2010-02-03 Martin E. Dyer , Leslie Ann Goldberg , Markus Jalsenius , David Richerby

In this paper, we investigate the hybridization of constraint programming and local search techniques within a large neighbourhood search scheme for solving highly constrained nurse rostering problems. As identified by the research, a…

Artificial Intelligence · Computer Science 2009-10-08 Fang He , Rong Qu

In sparse optimization, enforcing hard constraints using the $\ell_0$ pseudo-norm offers advantages like controlled sparsity compared to convex relaxations. However, many real-world applications demand not only sparsity constraints but also…

Optimization and Control · Mathematics 2025-06-12 William de Vazelhes , Xiao-Tong Yuan , Bin Gu

Many least squares problems involve affine equality and inequality constraints. Although there are variety of methods for solving such problems, most statisticians find constrained estimation challenging. The current paper proposes a new…

Computation · Statistics 2013-10-22 Hua Zhou , Kenneth Lange

The extension of the classical Bayesian penalized spline method to inference on vector-valued functions is considered, with an emphasis on characterizing the suitability of the method for general application.We show that the standard…

Machine Learning · Statistics 2010-03-26 David M. Rogers , Thomas L. Beck

Recent works showed that simple success-based rules for self-adjusting parameters in evolutionary algorithms (EAs) can match or outperform the best fixed parameters on discrete problems. Non-elitism in a (1,$\lambda$) EA combined with a…

Neural and Evolutionary Computing · Computer Science 2022-04-13 Mario Alejandro Hevia Fajardo , Dirk Sudholt

We study the complexity of the parameterised counting constraint satisfaction problem: given a set of constraints over a set of variables and a positive integer $k$, how many ways are there to assign $k$ variables to 1 (and the others to 0)…

Computational Complexity · Computer Science 2026-04-29 Panagiotis Aivasiliotis , Andreas Göbel , Marc Roth

The degree of a CSP instance is the maximum number of times that any variable appears in the scopes of constraints. We consider the approximate counting problem for Boolean CSP with bounded-degree instances, for constraint languages…

Computational Complexity · Computer Science 2011-09-19 Martin Dyer , Leslie Ann Goldberg , Markus Jalsenius , David Richerby

In a network, a $k$-plex represents a subset of $n$ vertices where the degree of each vertex in the subnetwork induced by this subset is at least $n-k$. The maximum edge-weight $k$-plex partitioning problem (Max-EkPP) is to find the…

Data Structures and Algorithms · Computer Science 2019-10-25 Milana Grbić , Aleksandar Kartelj , Savka Janković , Dragan Matić , Vladimir Filipović

Most Probable Explanation (MPE) inference in Probabilistic Graphical Models (PGMs) is a fundamental yet computationally challenging problem arising in domains such as diagnosis, planning, and structured prediction. In many practical…

Artificial Intelligence · Computer Science 2026-02-03 Brij Malhotra , Shivvrat Arya , Tahrima Rahman , Vibhav Giridhar Gogate