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Adaptive Resonance Theory (ART) is considered as an effective approach for realizing continual learning thanks to its ability to handle the plasticity-stability dilemma. In general, however, the clustering performance of ART-based…

Machine Learning · Computer Science 2022-07-08 Naoki Masuyama , Narito Amako , Yuna Yamada , Yusuke Nojima , Hisao Ishibuchi

In this paper, we consider robust control using randomized algorithms. We extend the existing order statistics distribution theory to the general case in which the distribution of population is not assumed to be continuous and the order…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

For a large number of random constraint satisfaction problems, such as random k-SAT and random graph and hypergraph coloring, there are very good estimates of the largest constraint density for which solutions exist. Yet, all known…

Computational Complexity · Computer Science 2007-05-23 Dimitris Achlioptas , Federico Ricci-Tersenghi

This paper describes an extension to the constraint satisfaction problem (CSP) called MUSE CSP (MUltiply SEgmented Constraint Satisfaction Problem). This extension is especially useful for those problems which segment into multiple sets of…

Artificial Intelligence · Computer Science 2014-11-17 R. A Helzerman , M. P. Harper

Approximations of optimization problems arise in computational procedures and sensitivity analysis. The resulting effect on solutions can be significant, with even small approximations of components of a problem translating into large…

Optimization and Control · Mathematics 2022-08-10 Johannes O. Royset

Many combinatorial optimization problems can be phrased in the language of constraint satisfaction problems. We introduce a graph neural network architecture for solving such optimization problems. The architecture is generic; it works for…

Artificial Intelligence · Computer Science 2020-02-12 Jan Toenshoff , Martin Ritzert , Hinrikus Wolf , Martin Grohe

Constraint Handling Rules (CHR) is a rule-based programming language that rewrites collections of constraints. It is typically embedded into a general-purpose language. There exists a plethora of implementation for numerous host languages.…

Programming Languages · Computer Science 2025-08-26 Sascha Rechenberger , Thom Frühwirth

This paper presents a novel selective constraint propagation method for constrained image segmentation. In the literature, many pairwise constraint propagation methods have been developed to exploit pairwise constraints for cluster…

Computer Vision and Pattern Recognition · Computer Science 2015-02-06 Peng Han

Streamlining constraints (or streamliners, for short) narrow the search space, enhancing the speed and feasibility of solving complex constraint satisfaction problems. Traditionally, streamliners were crafted manually or generated through…

Software Engineering · Computer Science 2025-11-19 Florentina Voboril , Vaidyanathan Peruvemba Ramaswamy , Stefan Szeider

Enforcing constraint satisfaction in neural network outputs is critical for safety, reliability, and physical fidelity in many control and decision-making applications. While soft-constrained methods penalize constraint violations during…

Machine Learning · Computer Science 2026-05-28 Andrea Goertzen , Kaveh Alim , Youngjae Min , Navid Azizan

The problem of ensuring constraints satisfaction on the output of machine learning models is critical for many applications, especially in safety-critical domains. Modern approaches rely on penalty-based methods at training time, which do…

Machine Learning · Computer Science 2025-04-14 Gaetano Signorelli , Michele Lombardi

We systematically study the computational complexity of a broad class of computational problems in phylogenetic reconstruction. The class contains for example the rooted triple consistency problem, forbidden subtree problems, the quartet…

Computational Complexity · Computer Science 2017-08-15 Manuel Bodirsky , Peter Jonsson , Trung Van Pham

Solving a system of nonlinear inequalities is an important problem for which conventional numerical analysis has no satisfactory method. With a box-consistency algorithm one can compute a cover for the solution set to arbitrarily close…

Numerical Analysis · Mathematics 2021-08-23 M. H. van Emden , B. Moa

In this paper we study a constraint-based representation of neural network architectures. We cast the learning problem in the Lagrangian framework and we investigate a simple optimization procedure that is well suited to fulfil the…

Machine Learning · Computer Science 2020-04-20 Giuseppe Marra , Matteo Tiezzi , Stefano Melacci , Alessandro Betti , Marco Maggini , Marco Gori

We show that global constraints on finite domains like all-different can be reformulated into answer set programs on which we achieve arc, bound or range consistency. These reformulations offer a number of other advantages beyond providing…

Logic in Computer Science · Computer Science 2010-08-31 Christian Drescher , Toby Walsh

We adapt alignment techniques from reasoning LLMs to the task of generating engineering sketch constraints found in computer-aided design (CAD) models. Engineering sketches consist of geometric primitives (e.g. points, lines) connected by…

For many constraint satisfaction problems, the algorithm which chooses a random assignment achieves the best possible approximation ratio. For instance, a simple random assignment for {\sc Max-E3-Sat} allows 7/8-approximation and for every…

Data Structures and Algorithms · Computer Science 2011-10-17 Eun Jung Kim , Ryan Williams

Low-rank matrix approximations are often used to help scale standard machine learning algorithms to large-scale problems. Recently, matrix coherence has been used to characterize the ability to extract global information from a subset of…

Machine Learning · Statistics 2010-09-07 Mehryar Mohri , Ameet Talwalkar

Unsupervised domain adaptation aiming to learn a specific task for one domain using another domain data has emerged to address the labeling issue in supervised learning, especially because it is difficult to obtain massive amounts of…

Machine Learning · Computer Science 2019-03-13 Jaeyoon Yoo , Changhwa Park , Yongjun Hong , Sungroh Yoon

This paper draws on diverse areas of computer science to develop a unified view of computation: (1) Optimization in operations research, where a numerical objective function is maximized under constraints, is generalized from the numerical…

Artificial Intelligence · Computer Science 2013-02-11 A. Nait Abdallah , M. H. van Emden