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The integration of Large Language Models (LLMs) into optimization has created a powerful synergy, opening exciting research opportunities. This paper investigates how LLMs can enhance existing optimization algorithms. Using their…

Artificial Intelligence · Computer Science 2025-02-13 Camilo Chacón Sartori , Christian Blum

Optimal recursive decomposition (or DR-planning) is crucial for analyzing, designing, solving or finding realizations of geometric constraint sytems. While the optimal DR-planning problem is NP-hard even for general 2D bar-joint constraint…

Computational Geometry · Computer Science 2015-07-07 Troy Baker , Meera Sitharam , Menghan Wang , Joel Willoughby

Recent works leveraging Graph Neural Networks to approach graph matching tasks have shown promising results. Recent progress in learning discrete distributions poses new opportunities for learning graph matching models. In this work, we…

Machine Learning · Computer Science 2021-09-14 Linfeng Liu , Michael C. Hughes , Soha Hassoun , Li-Ping Liu

We take a new perspective on the weighted sum-rate maximization in multiple-input multiple-output (MIMO) interference networks, by formulating an equivalent max-min problem. This seemingly trivial reformulation has significant implications:…

Information Theory · Computer Science 2013-09-17 Lijun Chen , Seungil You

Despite over two decades of progress, imbalanced data is still considered a significant challenge for contemporary machine learning models. Modern advances in deep learning have magnified the importance of the imbalanced data problem. The…

Computer Vision and Pattern Recognition · Computer Science 2021-05-07 Damien Dablain , Bartosz Krawczyk , Nitesh V. Chawla

This paper introduces a novel hybrid optimisation algorithm that combines elements of both metaheuristic search and integer programming. This new matheuristic combines elements of Benders decomposition and the Bees Algorithm, to create the…

Optimization and Control · Mathematics 2019-03-12 Cameron A. G. MacRae , Melih Ozlen , Andreas T. Ernst

Population-based evolutionary algorithms have great potential to handle multiobjective optimisation problems. However, these algorithms depends largely on problem characteristics, and there is a need to improve their performance for a wider…

Neural and Evolutionary Computing · Computer Science 2019-10-17 Shouyong Jiang , Hongru Li , Jinglei Guo , Mingjun Zhong , Shengxiang Yang , Marcus Kaiser , Natalio Krasnogor

Networked Control Systems (NCSs) often suffer from random packet dropouts which deteriorate overall system's stability and performance. To handle the ill effects of random packet losses in feedback control systems, closed over communication…

Optimization and Control · Mathematics 2013-01-08 Sourav Das , Saptarshi Das , Indranil Pan

Topology optimization problems often support multiple local minima due to a lack of convexity. Typically, gradient-based techniques combined with continuation in model parameters are used to promote convergence to more optimal solutions;…

Numerical Analysis · Mathematics 2021-01-13 Ioannis P. A. Papadopoulos , Patrick E. Farrell , Thomas M. Surowiec

Deep Learning (DL) methods show very good performance when trained on large, balanced data sets. However, many practical problems involve imbalanced data sets, or/and classes with a small number of training samples. The performance of DL…

Machine Learning · Computer Science 2017-02-07 Dolev Raviv , Margarita Osadchy

In many global Optimization Problems, it is required to evaluate a global point (min or max) in large space that calculation effort is very high. In this paper is presented new approach for optimization problem with subdivision labeling…

Neural and Evolutionary Computing · Computer Science 2013-07-24 Masoumeh Vali

Evolutionary strategies have recently been shown to achieve competing levels of performance for complex optimization problems in reinforcement learning. In such problems, one often needs to optimize an objective function subject to a set of…

Neural and Evolutionary Computing · Computer Science 2022-02-23 Youssef Diouane , Aurelien Lucchi , Vihang Patil

In this paper, we propose an ensemble learning algorithm called \textit{under-bagging $k$-nearest neighbors} (\textit{under-bagging $k$-NN}) for imbalanced classification problems. On the theoretical side, by developing a new learning…

Machine Learning · Statistics 2021-09-03 Hanyuan Hang , Yuchao Cai , Hanfang Yang , Zhouchen Lin

The objective of deep metric learning (DML) is to learn embeddings that can capture semantic similarity and dissimilarity information among data points. Existing pairwise or tripletwise loss functions used in DML are known to suffer from…

Computer Vision and Pattern Recognition · Computer Science 2021-03-22 Xinshao Wang , Yang Hua , Elyor Kodirov , Neil M. Robertson

A key challenge in decentralized optimization is determining the optimal convergence rate and designing algorithms to achieve it. While this problem has been extensively addressed for doubly-stochastic and column-stochastic mixing matrices,…

Optimization and Control · Mathematics 2025-06-06 Liyuan Liang , Xinyi Chen , Gan Luo , Kun Yuan

We present an algorithm for a class of statistical inference problems. The main idea is to reformulate the inference problem as an optimization procedure, based on the generation of surrogate (auxiliary) functions. This approach is…

Optimization and Control · Mathematics 2018-05-22 Rodrigo Carvajal , Rafael Orellana , Dimitrios Katselis , Pedro Escárate , Juan. C. Agüero

Recent diffusion probabilistic models (DPM) in the field of pansharpening have been gradually gaining attention and have achieved state-of-the-art (SOTA) performance. In this paper, we identify shortcomings in directly applying DPMs to the…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Zihan Cao , Xiao Wu , Liang-Jian Deng

The Partitioning Min-Max Weighted Matching (PMMWM) problem is an NP-hard problem that combines the problem of partitioning a group of vertices of a bipartite graph into disjoint subsets with limited size and the classical Min-Max Weighted…

Data Structures and Algorithms · Computer Science 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

This paper studies a distributed online convex optimization problem, where agents in an unbalanced network cooperatively minimize the sum of their time-varying local cost functions subject to a coupled inequality constraint. To solve this…

Optimization and Control · Mathematics 2023-09-06 Dandan Wang , Daokuan Zhu , Kin Cheong Sou , Jie Lu

This paper studies chance-constrained stochastic optimization problems with finite support. It presents an iterative method that solves reduced-size chance-constrained models obtained by partitioning the scenario set. Each reduced problem…

Optimization and Control · Mathematics 2024-11-26 Marius Roland , Alexandre Forel , Thibaut Vidal