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Decentralized optimization is critical for solving large-scale machine learning problems over distributed networks, where multiple nodes collaborate through local communication. In practice, the variances of stochastic gradient estimators…

Optimization and Control · Mathematics 2026-02-13 Hongxu Chen , Ke Wei , Luo Luo

Distributed Constraint Optimization Problems (DCOPs) have been widely used to coordinate interactions (i.e. constraints) in cooperative multi-agent systems. The traditional DCOP model assumes that variables owned by the agents can take only…

Artificial Intelligence · Computer Science 2020-03-02 Amit Sarker , Abdullahil Baki Arif , Moumita Choudhury , Md. Mosaddek Khan

Distributed training in deep learning (DL) is common practice as data and models grow. The current practice for distributed training of deep neural networks faces the challenges of communication bottlenecks when operating at scale, and…

Machine Learning · Computer Science 2020-12-21 Shubhankar Gahlot , Junqi Yin , Mallikarjun Shankar

In this paper we present and evaluate a search strategy called Decomposition Based Search (DBS) which is based on two steps: subproblem generation and subproblem solution. The generation of subproblems is done through value ranking and…

Artificial Intelligence · Computer Science 2007-05-23 W. J. van Hoeve , M. Milano

Many real discrete optimization problems (DOPs) are $NP$-hard and contain a huge number of variables and/or constraints that make the models intractable for currently available solvers. Large DOPs can be solved due to their special tructure…

Discrete Mathematics · Computer Science 2009-03-26 O. Shcherbina

Discrete Combinatorial Problems (DCPs) are prevalent in industrial decision-making and optimisation. However, while constraint solving technologies for DCPs have advanced significantly, the core process of formalising them, namely…

Artificial Intelligence · Computer Science 2026-01-29 Kostis Michailidis , Dimos Tsouros , Tias Guns

Large Neighborhood Search (LNS) is a combinatorial optimization heuristic that starts with an assignment of values for the variables to be optimized, and iteratively improves it by searching a large neighborhood around the current…

Optimization and Control · Mathematics 2022-05-23 Nicolas Sonnerat , Pengming Wang , Ira Ktena , Sergey Bartunov , Vinod Nair

This paper studies a deep learning (DL) framework to solve distributed non-convex constrained optimizations in wireless networks where multiple computing nodes, interconnected via backhaul links, desire to determine an efficient assignment…

Information Theory · Computer Science 2019-06-03 Hoon Lee , Sang Hyun Lee , Tony Q. S. Quek

Ensuring solution feasibility is a key challenge in developing Deep Neural Network (DNN) schemes for solving constrained optimization problems, due to inherent DNN prediction errors. In this paper, we propose a ``preventive learning''…

Machine Learning · Computer Science 2023-05-18 Tianyu Zhao , Xiang Pan , Minghua Chen , Steven H. Low

Most applications demand high-performance deep neural architectures costing limited resources. Neural architecture searching is a way of automatically exploring optimal deep neural networks in a given huge search space. However, all…

Machine Learning · Computer Science 2020-06-01 Yunhe Wang , Yixing Xu , Dacheng Tao

Pareto Local Search (PLS) is a basic building block in many metaheuristics for Multiobjective Combinatorial Optimization Problem (MCOP). In this paper, an enhanced PLS variant called Parallel Pareto Local Search based on Decomposition…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-12 Jialong Shi , Qingfu Zhang , Jianyong Sun

In distributed optimization, the practical problem-solving performance is essentially sensitive to algorithm selection, parameter setting, problem type and data pattern. Thus, it is often laborious to acquire a highly efficient method for a…

Optimization and Control · Mathematics 2024-01-04 Daokuan Zhu , Tianqi Xu , Jie Lu

We describe decomposition during search (DDS), an integration of And/Or tree search into propagation-based constraint solvers. The presented search algorithm dynamically decomposes sub-problems of a constraint satisfaction problem into…

Artificial Intelligence · Computer Science 2008-06-11 Martin Mann , Guido Tack , Sebastian Will

Large Neighborhood Search (LNS) is a popular heuristic algorithm for solving combinatorial optimization problems (COP). It starts with an initial solution to the problem and iteratively improves it by searching a large neighborhood around…

Artificial Intelligence · Computer Science 2023-06-02 Taoan Huang , Aaron Ferber , Yuandong Tian , Bistra Dilkina , Benoit Steiner

Constraint Programming (CP) and Local Search (LS) are different paradigms for dealing with combinatorial search and optimization problems. Their complementary features motivated researchers to create hybrid CP/LS solutions, maintaining both…

Neural and Evolutionary Computing · Computer Science 2019-09-19 Mateusz Ślażyński

This paper presents a novel neural network design that learns the heuristic for Large Neighborhood Search (LNS). LNS consists of a destroy operator and a repair operator that specify a way to carry out the neighborhood search to solve the…

Neural and Evolutionary Computing · Computer Science 2020-05-20 Mingxiang Chen , Lei Gao , Qichang Chen , Zhixin Liu

Neural Architecture Search (NAS) has shown great potentials in automatically designing scalable network architectures for dense image predictions. However, existing NAS algorithms usually compromise on restricted search space and search on…

Computer Vision and Pattern Recognition · Computer Science 2021-03-30 Xiong Zhang , Hongmin Xu , Hong Mo , Jianchao Tan , Cheng Yang , Lei Wang , Wenqi Ren

We develop DeepOPF as a Deep Neural Network (DNN) approach for solving direct current optimal power flow (DC-OPF) problems. DeepOPF is inspired by the observation that solving DC-OPF for a given power network is equivalent to characterizing…

Systems and Control · Computer Science 2020-09-24 Xiang Pan , Tianyu Zhao , Minghua Chen

One of the approaches for the nearest neighbor search problem is to build a network which nodes correspond to the given set of indexed objects. In this case the search of the closest object can be thought as a search of a node in a network.…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-25 Alexander Ponomarenko , Irina Utkina , Mikhail Batsyn

Directly solving large-scale Integer Linear Programs (ILPs) using traditional solvers is slow due to their NP-hard nature. While recent frameworks based on Large Neighborhood Search (LNS) can accelerate the solving process, their…

Machine Learning · Computer Science 2025-09-23 Ning Xu , Junkai Zhang , Yang Wu , Huigen Ye , Hua Xu , Huiling Xu , Yifan Zhang