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This article explores distributed convex optimization with globally-coupled constraints, where the objective function is a general nonsmooth convex function, the constraints include nonlinear inequalities and affine equalities, and the…

Optimization and Control · Mathematics 2025-03-14 Zixuan Liu , Xuyang Wu , Dandan Wang , Jie Lu

Approximate K nearest neighbor (AKNN) search is a fundamental and challenging problem. We observe that in high-dimensional space, the time consumption of nearly all AKNN algorithms is dominated by that of the distance comparison operations…

Data Structures and Algorithms · Computer Science 2023-03-20 Jianyang Gao , Cheng Long

A central theme in distributed network algorithms concerns understanding and coping with the issue of locality. Inspired by sequential complexity theory, we focus on a complexity theory for distributed decision problems. In the context of…

Distributed, Parallel, and Cluster Computing · Computer Science 2011-03-04 Pierre Fraigniaud , Amos Korman , David Peleg

Distributed algorithms for solving additive or consensus optimization problems commonly rely on first-order or proximal splitting methods. These algorithms generally come with restrictive assumptions and at best enjoy a linear convergence…

Optimization and Control · Mathematics 2017-05-11 Sina Khoshfetrat Pakazad , Christian A. Naesseth , Fredrik Lindsten , Anders Hansson

Neural architecture search (NAS) methods aim to automatically find the optimal deep neural network (DNN) architecture as measured by a given objective function, typically some combination of task accuracy and inference efficiency. For many…

Machine Learning · Computer Science 2021-10-29 Ravi Krishna , Aravind Kalaiah , Bichen Wu , Maxim Naumov , Dheevatsa Mudigere , Misha Smelyanskiy , Kurt Keutzer

In this paper we consider a network with $P$ nodes, where each node has exclusive access to a local cost function. Our contribution is a communication-efficient distributed algorithm that finds a vector $x^\star$ minimizing the sum of all…

Optimization and Control · Mathematics 2016-11-15 João F. C. Mota , João M. F. Xavier , Pedro M. Q. Aguiar , Markus Püschel

The traditional object retrieval task aims to learn a discriminative feature representation with intra-similarity and inter-dissimilarity, which supposes that the objects in an image are manually or automatically pre-cropped exactly.…

Computer Vision and Pattern Recognition · Computer Science 2020-09-04 Lei Zhang , Zhenwei He , Yi Yang , Liang Wang , Xinbo Gao

This paper proposes a push and pull search (PPS) framework for solving constrained multi-objective optimization problems (CMOPs). To be more specific, the proposed PPS divides the search process into two different stages, including the push…

Neural and Evolutionary Computing · Computer Science 2017-09-19 Zhun Fan , Wenji Li , Xinye Cai , Hui Li , Caimin Wei , Qingfu Zhang , Kalyanmoy Deb , Erik D. Goodman

This paper explores a novel approach aimed at overcoming existing challenges in the realm of local search algorithms. Our aim is to improve the decision process that takes place within a local search algorithm so as to make the best…

Neural and Evolutionary Computing · Computer Science 2025-03-13 Mohamed Salim Amri Sakhri , Adrien Goëffon , Olivier Goudet , Frédéric Saubion , Chaïmaâ Touhami

Large Neighbourhood Search (LNS) is a powerful heuristic framework for solving Mixed-Integer Programming (MIP) problems. However, designing effective variable selection strategies in LNS remains challenging, especially for diverse sets of…

Optimization and Control · Mathematics 2025-01-22 Charly Robinson La Rocca , Jean-François Cordeau , Emma Frejinger

Constrained multi-objective optimization problems (CMOPs) are of great significance in the context of practical applications, ranging from scientific to engineering domains. Most existing constrained multi-objective evolutionary algorithms…

Neural and Evolutionary Computing · Computer Science 2026-03-18 Shuai Shao , Ye Tian , Shangshang Yang , Xingyi Zhang

This paper proposes a deep-learning-based domain decomposition method (DeepDDM), which leverages deep neural networks (DNN) to discretize the subproblems divided by domain decomposition methods (DDM) for solving partial differential…

Numerical Analysis · Mathematics 2020-04-13 Wuyang Li , Xueshuang Xiang , Yingxiang Xu

Distributed deep learning systems (DDLS) train deep neural network models by utilizing the distributed resources of a cluster. Developers of DDLS are required to make many decisions to process their particular workloads in their chosen…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-07-09 Matthias Langer , Zhen He , Wenny Rahayu , Yanbo Xue

Multi-level optimization has gained increasing attention in recent years, as it provides a powerful framework for solving complex optimization problems that arise in many fields, such as meta-learning, multi-player games, reinforcement…

Machine Learning · Computer Science 2023-10-11 Shuoguang Yang , Xuezhou Zhang , Mengdi Wang

To advance capabilities of large language models (LLMs) in solving combinatorial optimization problems (COPs), this paper presents the Language-based Neural COP Solver (LNCS), a novel framework that is unified for the end-to-end resolution…

Artificial Intelligence · Computer Science 2024-12-17 Xia Jiang , Yaoxin Wu , Yuan Wang , Yingqian Zhang

The use of machine learning methods helps to improve decision making in different fields. In particular, the idea of bridging predictions (machine learning models) and prescriptions (optimization problems) is gaining attention within the…

Optimization and Control · Mathematics 2022-11-22 Antonio Alcántara , Carlos Ruiz

Cooperative Co-evolution, through the decomposition of the problem space, is a primary approach for solving large-scale global optimization problems. Typically, when the subspaces are disjoint, the algorithms demonstrate significantly both…

Neural and Evolutionary Computing · Computer Science 2025-03-31 Wenjie Qiu , Hongshu Guo , Zeyuan Ma , Yue-Jiao Gong

While successful in many fields, deep neural networks (DNNs) still suffer from some open problems such as bad local minima and unsatisfactory generalization performance. In this work, we propose a novel architecture called…

Machine Learning · Computer Science 2020-07-10 Xingyu Xie , Hao Kong , Jianlong Wu , Wayne Zhang , Guangcan Liu , Zhouchen Lin

Distributed deep learning (DDL) is a promising research area, which aims to increase the efficiency of training deep learning tasks with large size of datasets and models. As the computation capability of DDL nodes continues to increase,…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-11 Zixuan Chen , Lei Shi , Xuandong Liu , Jiahui Li , Sen Liu , Yang Xu

This paper considers distributed optimization algorithms, with application in binary classification via distributed support-vector-machines (D-SVM) over multi-agent networks subject to some link nonlinearities. The agents solve a…

Systems and Control · Electrical Eng. & Systems 2023-04-14 Mohammadreza Doostmohammadian , Alireza Aghasi , Houman Zarrabi