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We present an approach to propagation based solving, Boolean equi-propagation, where constraints are modelled as propagators of information about equalities between Boolean literals. Propagation based solving applies this information as a…

Artificial Intelligence · Computer Science 2015-03-19 Amit Metodi , Michael Codish , Vitaly Lagoon , Peter J. Stuckey

Stochastic distributed optimization methods that solve an optimization problem over a multi-agent network have played an important role in a variety of large-scale signal processing and machine leaning applications. Among the existing…

Optimization and Control · Mathematics 2023-02-06 Songyang Ge , Tsung-Hui Chang

This paper addresses distributed consensus optimization problems with mixed-integer variables, with a specific focus on Boolean variables. We introduce a novel distributed algorithm that extends the Consensus Augmented Lagrangian…

Optimization and Control · Mathematics 2026-04-17 Boyu Han , Xu Du , Karl H. Johansson , Apostolos I. Rikos

Lagrangian decomposition (LD) is a relaxation method that provides a dual bound for constrained optimization problems by decomposing them into more manageable sub-problems. This bound can be used in branch-and-bound algorithms to prune the…

Artificial Intelligence · Computer Science 2024-08-26 Swann Bessa , Darius Dabert , Max Bourgeat , Louis-Martin Rousseau , Quentin Cappart

We propose an algorithm to explore the global optimization method, using SAT solvers, for training a neural net. Deep Neural Networks have achieved great feats in tasks like-image recognition, speech recognition, etc. Much of their success…

Machine Learning · Computer Science 2022-06-13 Subham S. Sahoo

In the field of Earth Observation (EO), Continual Learning (CL) algorithms have been proposed to deal with large datasets by decomposing them into several subsets and processing them incrementally. The majority of these algorithms assume…

Computer Vision and Pattern Recognition · Computer Science 2023-01-10 Valerio Marsocci , Simone Scardapane

We propose a new approach to SAT solving which solves SAT problems in vector spaces as a cost minimization problem of a non-negative differentiable cost function J^sat. In our approach, a solution, i.e., satisfying assignment, for a SAT…

Artificial Intelligence · Computer Science 2021-08-17 Taisuke Sato , Ryosuke Kojima

A new framework for presenting and analyzing the functionality of a modern DLL-based SAT solver is proposed. Our approach exploits the inherent relation between backtracking and resolution. We show how to derive the algorithm of a modern…

Logic in Computer Science · Computer Science 2011-10-27 Nachum Dershowitz , Alexander Nadel

This paper describes a new approach on optimization of constraint satisfaction problems (CSPs) by means of substituting sub-CSPs with locally consistent regular membership constraints. The purpose of this approach is to reduce the number of…

Artificial Intelligence · Computer Science 2019-08-19 Sven Löffler , Ke Liu , Petra Hofstedt

As a broadly applied technique in numerous optimization problems, recently, local search has been employed to solve Pseudo-Boolean Optimization (PBO) problem. A representative local search solver for PBO is LSPBO. In this paper, firstly, we…

Artificial Intelligence · Computer Science 2024-08-01 Zhihan Chen , Peng Lin , Hao Hu , Shaowei Cai

Discrete facility layout design involves placing physical entities to minimize handling costs while adhering to strict safety and spatial constraints. This combinatorial problem is typically addressed using Mixed Integer Linear Programming…

Artificial Intelligence · Computer Science 2026-05-08 Joshua Gibson , Kapil Dhakal

We consider the problem of finding and enumerating polyominos that can be folded into multiple non-isomorphic boxes. While several computational approaches have been proposed, including SAT, randomized algorithms, and decision diagrams,…

Computational Geometry · Computer Science 2025-06-03 Long Qian , Eric Wang , Bernardo Subercaseaux , Marijn J. H. Heule

Self-Supervised Learning (SSL) for Combinatorial Optimization (CO) is an emerging paradigm for solving combinatorial problems using neural networks. In this paper, we address a central challenge of SSL for CO: solving problems with discrete…

Machine Learning · Computer Science 2026-01-16 Nikolaos Karalias , Akbar Rafiey , Yifei Xu , Zhishang Luo , Behrooz Tahmasebi , Connie Jiang , Stefanie Jegelka

While numerous methods achieving remarkable performance exist in the Object Detection literature, addressing data distribution shifts remains challenging. Continual Learning (CL) offers solutions to this issue, enabling models to adapt to…

Computer Vision and Pattern Recognition · Computer Science 2024-09-04 Francesco Pasti , Marina Ceccon , Davide Dalle Pezze , Francesco Paissan , Elisabetta Farella , Gian Antonio Susto , Nicola Bellotto

This paper presents a new type of hybrid model for Bayesian optimization (BO) adept at managing mixed variables, encompassing both quantitative (continuous and integer) and qualitative (categorical) types. Our proposed new hybrid models…

Machine Learning · Computer Science 2024-01-22 Hengrui Luo , Younghyun Cho , James W. Demmel , Xiaoye S. Li , Yang Liu

Constrained clustering is a semi-supervised task that employs a limited amount of labelled data, formulated as constraints, to incorporate domain-specific knowledge and to significantly improve clustering accuracy. Previous work has…

Machine Learning · Computer Science 2023-05-17 Pouya Shati , Eldan Cohen , Sheila McIlraith

We consider the iterative solution of regularized saddle-point systems. When the leading block is symmetric and positive semi-definite on an appropriate subspace, Dollar, Gould, Schilders, and Wathen (2006) describe how to apply the…

Numerical Analysis · Mathematics 2021-01-06 Daniela di Serafino , Dominique Orban

To address the weight coupling problem, certain studies introduced few-shot Neural Architecture Search (NAS) methods, which partition the supernet into multiple sub-supernets. However, these methods often suffer from computational…

Machine Learning · Computer Science 2025-06-23 Wenhao Song , Xuan Wu , Bo Yang , You Zhou , Yubin Xiao , Yanchun Liang , Hongwei Ge , Heow Pueh Lee , Chunguo Wu

Stochastic gradient methods are dominant in nonconvex optimization especially for deep models but have low asymptotical convergence due to the fixed smoothness. To address this problem, we propose a simple yet effective method for improving…

Machine Learning · Computer Science 2018-05-25 Jun Li , Hongfu Liu , Bineng Zhong , Yue Wu , Yun Fu

Computing diverse solutions for a given problem, in particular evolutionary diversity optimisation (EDO), is a hot research topic in the evolutionary computation community. This paper studies the Boolean satisfiability problem (SAT) in the…

Neural and Evolutionary Computing · Computer Science 2023-05-22 Adel Nikfarjam , Ralf Rothenberger , Frank Neumann , Tobias Friedrich