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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…

数据结构与算法 · 计算机科学 2022-01-26 Yuxuan Wang , Jinyao Xie , Jiongzhi Zheng , Kun He

The Maximum Weighted Independent Set (MWIS) problem, which considers a graph with weights assigned to nodes and seeks to discover the "heaviest" independent set, that is, a set of nodes with maximum total weight so that no two nodes in the…

数据结构与算法 · 计算机科学 2020-08-18 Kai Sun

Given a weighted bipartite graph $G = (L, R, E, w)$, the maximum weight matching (MWM) problem seeks to find a matching $M \subseteq E$ that maximizes the total weight $\sum_{e \in M} w(e)$. This paper presents a novel algorithm with a time…

数据结构与算法 · 计算机科学 2025-04-07 Shawxing Kwok

We study the Maximum Weight Matching (MWM) problem for general graphs through the max-product Belief Propagation (BP) and related Linear Programming (LP). The BP approach provides distributed heuristics for finding the Maximum A Posteriori…

数据结构与算法 · 计算机科学 2018-01-03 Sungsoo Ahn , Michael Chertkov , Andrew E. Gelfand , Sejun Park , Jinwoo Shin

This paper presents a novel meta algorithm, Partition-Merge (PM), which takes existing centralized algorithms for graph computation and makes them distributed and faster. In a nutshell, PM divides the graph into small subgraphs using our…

数据结构与算法 · 计算机科学 2013-09-25 Vincent Blondel , Kyomin Jung , Pushmeet Kohli , Devavrat Shah

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…

神经与进化计算 · 计算机科学 2013-07-24 Masoumeh Vali

The MaxCut problem is a fundamental problem in Combinatorial Optimization, with significant implications across diverse domains such as logistics, network design, and statistical physics. The algorithm represents innovative approaches that…

量子物理 · 物理学 2025-01-03 Paulo A. Viana , Fernando M. de Paula Neto

We study the approximate maximum weight matching (MWM) problem in a fully dynamic graph subject to edge insertions and deletions. We design meta-algorithms that reduce the problem to the unweighted approximate maximum cardinality matching…

数据结构与算法 · 计算机科学 2025-10-23 Aaron Bernstein , Jiale Chen

We introduce a novel variant of cutting production planning problems named Integrated Cutting and Packing Heterogeneous Precast Beams Multiperiod Production Planning (ICP-HPBMPP). We propose an integer linear programming model for the…

最优化与控制 · 数学 2020-08-27 Kennedy Araujo , Tiberius Bonates , Bruno Prata

We consider the foundational problem of maintaining a $(1-\varepsilon)$-approximate maximum weight matching (MWM) in an $n$-node dynamic graph undergoing edge insertions and deletions. We provide a general reduction that reduces the problem…

数据结构与算法 · 计算机科学 2024-10-25 Aaron Bernstein , Jiale Chen , Aditi Dudeja , Zachary Langley , Aaron Sidford , Ta-Wei Tu

Graph partitioning, a well studied problem of parallel computing has many applications in diversified fields such as distributed computing, social network analysis, data mining and many other domains. In this paper, we introduce FGPGA, an…

神经与进化计算 · 计算机科学 2014-11-18 Md. Lisul Islam , Novia Nurain , Swakkhar Shatabda , M Sohel Rahman

Mixed-precision quantization is a promising approach for compressing large language models under tight memory budgets. However, existing mixed-precision methods typically suffer from one of two limitations: they either rely on expensive…

机器学习 · 计算机科学 2026-02-03 Xin Nie , Haicheng Zhang , Liang Dong , Beining Feng , Jinhong Weng , Guiling Sun

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…

神经与进化计算 · 计算机科学 2013-07-23 Masoumeh Vali

We propose two quantum algorithms for a problem in bioinformatics, position weight matrix (PWM) matching, which aims to find segments (sequence motifs) in a biological sequence such as DNA and protein that have high scores defined by the…

量子物理 · 物理学 2023-03-08 Koichi Miyamoto , Naoki Yamamoto , Yasubumi Sakakibara

In this work, we develop an adaptive, multivariate partitioning algorithm for solving mixed-integer nonlinear programs (MINLP) with multi-linear terms to global optimality. This iterative algorithm primarily exploits the advantages of…

最优化与控制 · 数学 2019-02-05 Harsha Nagarajan , Mowen Lu , Site Wang , Russell Bent , Kaarthik Sundar

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…

人工智能 · 计算机科学 2024-02-08 Javier Ferrer , Francisco Chicano , José Antonio Ortega Toro

Iterative methods are widely used for solving partial differential equations (PDEs). However, the difficulty in eliminating global low-frequency errors significantly limits their convergence speed. In recent years, neural networks have…

计算物理 · 物理学 2024-10-10 Daiwei Dong , Wei Suo , Jiaqing Kou , Weiwei Zhang

This study introduces a framework that integrates nonlinear feature extraction, classification, and efficient optimization. First, kernel principal component analysis with a radial basis function kernel reduces dimensionality while…

机器学习 · 计算机科学 2025-06-23 Iliyas Ibrahim Iliyas , Souley Boukari , Abdulsalam Yau Gital

In this paper we propose a new iterative algorithm to solve the fair PCA (FPCA) problem. We start with the max-min fair PCA formulation originally proposed in [1] and derive a simple and efficient iterative algorithm which is based on the…

机器学习 · 统计学 2023-05-11 Prabhu Babu , Petre Stoica

With growing environmental concerns, electric vehicles for logistics have gained significant attention within the computational intelligence community in recent years. This work addresses an emerging and significant extension of the…

神经与进化计算 · 计算机科学 2025-05-27 Zubin Zheng , Shengcai Liu , Yew-Soon Ong
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