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In this paper, we provide a novel analytical perspective on the theoretical understanding of gradient-based learning algorithms by interpreting consensus-based optimization (CBO), a recently proposed multi-particle derivative-free…

Machine Learning · Computer Science 2026-03-02 Konstantin Riedl , Timo Klock , Carina Geldhauser , Massimo Fornasier

Many strong decoding methods for text generation follow a sample-and-rerank paradigm: they draw multiple candidates, score each under a utility (reward) function using consensus across samples, and return the best one. Although effective,…

Machine Learning · Computer Science 2026-02-04 Yuki Ichihara , Yuu Jinnai , Kaito Ariu , Eiji Uchibe

We introduce a framework for applying metaheuristic algorithms, such as ant colony optimization (ACO), to combinatorial optimization problems (COPs) like the traveling salesman problem (TSP). The framework consists of three sequential…

Neural and Evolutionary Computing · Computer Science 2025-10-07 Ethan Davis

In recent past, a number of researchers have proposed genetic algorithm (GA) based strategies for finding optimal test order while minimizing the stub complexity during integration testing. Even though, metaheuristic algorithms have a wide…

Software Engineering · Computer Science 2014-10-20 Chayanika Sharma , Ritu Sibal

The present work extends the randomized shortest-paths framework (RSP), interpolating between shortest-path and random-walk routing in a network, in three directions. First, it shows how to deal with equality constraints on a subset of…

Machine Learning · Computer Science 2018-07-13 Bertrand Lebichot , Guillaume Guex , Ilkka Kivimäki , Marco Saerens

Scalable addressing of high dimensional constrained combinatorial optimization problems is a challenge that arises in several science and engineering disciplines. Recent work introduced novel application of graph neural networks for solving…

Optimization and Control · Mathematics 2024-05-20 Nasimeh Heydaribeni , Xinrui Zhan , Ruisi Zhang , Tina Eliassi-Rad , Farinaz Koushanfar

In real life, it is always an urge to reach our goal in minimum effort i.e., it should have a minimum constrained path. The path may be shortest route in practical life, either physical or electronic medium. The scenario is to represents…

Neural and Evolutionary Computing · Computer Science 2014-01-14 Sounak Sadhukhan , Samar Sen Sarma

A new metaheuristic optimisation algorithm, called Cuckoo Search (CS), was developed recently by Yang and Deb (2009). This paper presents a more extensive comparison study using some standard test functions and newly designed stochastic…

Optimization and Control · Mathematics 2010-12-24 Xin-She Yang , Suash Deb

The article describes an investigation of the effectiveness of genetic algorithms for multi-objective combinatorial optimization (MOCO) by presenting an application for the vehicle routing problem with soft time windows. The work is…

Artificial Intelligence · Computer Science 2008-09-03 Martin Josef Geiger

Clustering consists of grouping together samples giving their similar properties. The problem of modeling simultaneously groups of samples and features is known as Co-Clustering. This paper introduces ROCCO - a Robust Continuous…

Machine Learning · Computer Science 2018-02-15 Xiao He , Luis Moreira-Matias

Many machine learning models, such as logistic regression~(LR) and support vector machine~(SVM), can be formulated as composite optimization problems. Recently, many distributed stochastic optimization~(DSO) methods have been proposed to…

Machine Learning · Statistics 2016-12-13 Shen-Yi Zhao , Ru Xiang , Ying-Hao Shi , Peng Gao , Wu-Jun Li

Difficult, in particular NP-complete, optimization problems are traditionally solved approximately using search heuristics. These are usually slowed down by the rugged landscapes encountered, because local minima arrest the search process.…

Artificial Intelligence · Computer Science 2023-11-08 Konstantin Klemm , Anita Mehta , Peter F. Stadler

The random grid search (RGS) is a simple, but efficient, stochastic algorithm to find optimal cuts that was developed in the context of the search for the top quark at Fermilab in the mid-1990s. The algorithm, and associated code, have been…

High Energy Physics - Phenomenology · Physics 2018-05-14 Pushpalatha C. Bhat , Harrison B. Prosper , Sezen Sekmen , Chip Stewart

This paper aims to predict optimal solutions for combinatorial optimization problems (COPs) via machine learning (ML). To find high-quality solutions efficiently, existing work uses a ML prediction of the optimal solution to guide heuristic…

Optimization and Control · Mathematics 2023-01-30 Yunzhuang Shen , Yuan Sun , Xiaodong Li , Andrew Eberhard , Andreas Ernst

Robust optimization(RO) is an important tool for handling optimization problem with uncertainty. The main objective of RO is to solve optimization problems due to uncertainty associated with constraints satisfying all realizations of…

Optimization and Control · Mathematics 2025-04-02 Parthasarathi Mondal , Akshay Kumar Ojha

The maximum clique problem (MCP) is a fundamental problem in graph theory and in computational complexity. Given a graph G, the problem is that of finding the largest clique (complete subgraph) in G. The MCP has many important applications…

Neural and Evolutionary Computing · Computer Science 2024-09-30 Michael Vella , John Abela , Kristian Guillaumier

In this paper we present an algorithmic framework for solving a class of combinatorial optimization problems on graphs with bounded pathwidth. The problems are NP-hard in general, but solvable in linear time on this type of graphs. The…

Data Structures and Algorithms · Computer Science 2012-12-18 Mugurel Ionut Andreica

We consider a minimax problem motivated by distributionally robust optimization (DRO) when the worst-case distribution is continuous, leading to significant computational challenges due to the infinite-dimensional nature of the optimization…

Machine Learning · Statistics 2024-12-31 Linglingzhi Zhu , Yao Xie

The knapsack problem is one of the classical problems in combinatorial optimization: Given a set of items, each specified by its size and profit, the goal is to find a maximum profit packing into a knapsack of bounded capacity. In the…

Data Structures and Algorithms · Computer Science 2020-12-02 Susanne Albers , Arindam Khan , Leon Ladewig

The application of learning based methods to vehicle routing problems has emerged as a pivotal area of research in combinatorial optimization. These problems are characterized by vast solution spaces and intricate constraints, making…

Machine Learning · Computer Science 2025-03-14 Zhenwei Wang , Ruibin Bai , Tiehua Zhang