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Using prototype methods to reduce the size of training datasets can drastically reduce the computational cost of classification with instance-based learning algorithms like the k-Nearest Neighbour classifier. The number and distribution of…

Machine Learning · Computer Science 2021-04-13 Ilia Sucholutsky , Matthias Schonlau

Constrained Stochastic Shortest Path Problems (CSSPs) model problems with probabilistic effects, where a primary cost is minimised subject to constraints over secondary costs, e.g., minimise time subject to monetary budget. Current…

Artificial Intelligence · Computer Science 2025-08-26 Johannes Schmalz , Felipe Trevizan

Program synthesis aims to {\it automatically} find programs from an underlying programming language that satisfy a given specification. While this has the potential to revolutionize computing, how to search over the vast space of programs…

Neural and Evolutionary Computing · Computer Science 2022-03-01 Yuan Yuan , Wolfgang Banzhaf

The computational equivalence between approximate counting and sampling is well established for polynomial-time algorithms. The most efficient general reduction from counting to sampling is achieved via simulated annealing, where the…

Data Structures and Algorithms · Computer Science 2026-04-03 David G. Harris , Vladimir Kolmogorov , Hongyang Liu , Yitong Yin , Yiyao Zhang

Graph matching is one of the most important problems in graph theory and combinatorial optimization, with many applications in various domains. Although meta-heuristic algorithms have had good performance on many NP-Hard and NP-Complete…

Neural and Evolutionary Computing · Computer Science 2019-04-01 Hashem Ezzati , Mahmood Amintoosi , Hashem Tabasi

We consider optimization problems involving the multiplication of variable matrices to be selected from a given family, which might be a discrete set, a continuous set or a combination of both. Such nonlinear, and possibly discrete,…

Optimization and Control · Mathematics 2021-03-12 Burak Kocuk

Here we explore which heuristic quantum algorithms for combinatorial optimization might be most practical to try out on a small fault-tolerant quantum computer. We compile circuits for several variants of quantum accelerated simulated…

In this paper, we extend a previously presented Grover-based heuristic to tackle general combinatorial optimization problems with linear constraints. We further describe the introduced method as a framework that enables performance…

Quantum Physics · Physics 2025-12-08 Sören Wilkening , Timo Ziegler , Maximilian Hess

We consider the problem of automatically constructing computer programs from input-output examples. We investigate how to augment probabilistic and neural program synthesis methods with new search algorithms, proposing a framework called…

Machine Learning · Computer Science 2021-12-07 Nathanaël Fijalkow , Guillaume Lagarde , Théo Matricon , Kevin Ellis , Pierre Ohlmann , Akarsh Potta

We present the viewpoint that optimization problems encountered in machine learning can often be interpreted as minimizing a convex functional over a function space, but with a non-convex constraint set introduced by model parameterization.…

Machine Learning · Computer Science 2020-04-21 Yongqiang Cai , Qianxiao Li , Zuowei Shen

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

An algorithm is proposed, analyzed, and tested for solving continuous nonlinear-equality-constrained optimization problems where the objective and constraint functions are defined by expectations or averages over large, finite numbers of…

Optimization and Control · Mathematics 2026-05-14 Frank E. Curtis , Lingjun Guo , Daniel P. Robinson

This paper presents a methodology for using varying sample sizes in sequential quadratic programming (SQP) methods for solving equality constrained stochastic optimization problems. The first part of the paper deals with the delicate issue…

Optimization and Control · Mathematics 2023-03-23 Albert S. Berahas , Raghu Bollapragada , Baoyu Zhou

In many real-world problems, we are dealing with collections of high-dimensional data, such as images, videos, text and web documents, DNA microarray data, and more. Often, high-dimensional data lie close to low-dimensional structures…

Computer Vision and Pattern Recognition · Computer Science 2013-02-06 Ehsan Elhamifar , Rene Vidal

This paper presents a method for choosing a Particle Swarm Optimization based optimizer for the Dynamic Vehicle Routing Problem on the basis of the initially available data of a given problem instance. The optimization algorithm is chosen…

Neural and Evolutionary Computing · Computer Science 2020-06-17 Michał Okulewicz , Jacek Mańdziuk

A typical modern optimization technique is usually either heuristic or metaheuristic. This technique has managed to solve some optimization problems in the research area of science, engineering, and industry. However, implementation…

Computer Vision and Pattern Recognition · Computer Science 2016-10-10 L. M. Rasdi Rere , Mohamad Ivan Fanany , Aniati Murni Arymurthy

In this study, we present a block-based heuristic search algorithm to address the nuclear waste container packing problem in the context of real-world nuclear power plants. Additionally, we provide a dataset comprising 1600 problem…

Optimization and Control · Mathematics 2025-03-13 Yajie Wen , Defu Zhang

Spectral clustering and its extensions usually consist of two steps: (1) constructing a graph and computing the relaxed solution; (2) discretizing relaxed solutions. Although the former has been extensively investigated, the discretization…

Machine Learning · Computer Science 2023-10-20 Hongyuan Zhang , Xuelong Li

In Software Product Lines (SPLs) it may be difficult or even impossible to test all the products of the family because of the large number of valid feature combinations that may exist. Thus, we want to find a minimal subset of the product…

Artificial Intelligence · Computer Science 2024-02-08 Javier Ferrer , Francisco Chicano , José Antonio Ortega Toro

We study a ranking and selection (R&S) problem when all solutions share common parametric Bayesian input models updated with the data collected from multiple independent data-generating sources. Our objective is to identify the best system…

Methodology · Statistics 2025-02-25 Eunhye Song , Taeho Kim
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