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We introduce an algorithmic framework for performing QR factorization with column pivoting (QRCP) on general matrices. The framework enables the design of practical QRCP algorithms through user-controlled choices for the core subroutines.…

Mathematical Software · Computer Science 2025-07-02 Maksim Melnichenko , Riley Murray , William Killian , James Demmel , Michael W. Mahoney , Piotr Luszczek , Mark Gates

In this paper we propose a parallel coordinate descent algorithm for solving smooth convex optimization problems with separable constraints that may arise e.g. in distributed model predictive control (MPC) for linear network systems. Our…

Optimization and Control · Mathematics 2014-11-19 Ion Necoara , Dragos Clipici

We propose a Jacobi-style distributed algorithm to solve convex, quadratically constrained quadratic programs (QCQPs), which arise from a broad range of applications. While small to medium-sized convex QCQPs can be solved efficiently by…

Optimization and Control · Mathematics 2021-10-15 Run Chen , Andrew L. Liu

Many problems in real life can be converted to combinatorial optimization problems (COPs) on graphs, that is to find a best node state configuration or a network structure such that the designed objective function is optimized under some…

Machine Learning · Computer Science 2019-09-17 Jing Liu , Fei Gao , Jiang Zhang

We consider an extension of the set covering problem (SCP) introducing (i)~multicover and (ii)~generalized upper bound (GUB)~constraints. For the conventional SCP, the pricing method has been introduced to reduce the size of instances, and…

Data Structures and Algorithms · Computer Science 2018-01-09 Shunji Umetani , Masanao Arakawa , Mutsunori Yagiura

Colorization has attracted increasing interest in recent years. Classic reference-based methods usually rely on external color images for plausible results. A large image database or online search engine is inevitably required for…

Computer Vision and Pattern Recognition · Computer Science 2022-08-09 Yanze Wu , Xintao Wang , Yu Li , Honglun Zhang , Xun Zhao , Ying Shan

The evolution of gene regulatory networks in variable environments poses Multi-objective Optimization Problem (MOP), where the expression levels of genes must be tuned to meet the demands of each environment. When formalized in the context…

Optimization and Control · Mathematics 2018-04-23 Philippe Nghe , Bela M. Mulder , Sander J. Tans

We introduce and study a new optimization problem called Hyper Vertex Cover. This problem is a generalization of the standard vertex cover to hypergraphs: one seeks a configuration of particles with minimal density such that every hyperedge…

Statistical Mechanics · Physics 2009-11-13 M. Mézard , M. Tarzia

The graph coloring problem (GCP) is a classic combinatorial optimization problem that aims to find the minimum number of colors assigned to vertices of a graph such that no two adjacent vertices receive the same color. GCP has been…

Discrete Mathematics · Computer Science 2025-06-10 Enqiang Zhu , Yu Zhang , Haopeng Sun , Ziqi Wei , Witold Pedrycz , Chanjuan Liu , Jin Xu

MapReduce is a technique used to vastly improve distributed processing of data and can massively speed up computation. Hadoop and its MapReduce relies on JVM and Java which is expensive on memory. High Performance Computing based MapReduce…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-29 Vignesh S. , Muthumanikandan V. , Siddarth S. , Sainath G

Covering all edges of a graph by a small number of vertices, this is the NP-complete Vertex Cover problem. It is among the most fundamental graph-algorithmic problems. Following a recent trend in studying temporal graphs (a sequence of…

Computational Complexity · Computer Science 2020-07-02 Till Fluschnik , Rolf Niedermeier , Valentin Rohm , Philipp Zschoche

We review recent progress in the study of the vertex-cover problem (VC). VC belongs to the class of NP-complete graph theoretical problems, which plays a central role in theoretical computer science. On ensembles of random graphs, VC…

Disordered Systems and Neural Networks · Physics 2009-11-10 Alexander K. Hartmann , Martin Weigt

Reduction operations are extensively employed in many computational problems. A reduction consists of, given a finite set of numeric elements, combining into a single value all elements in that set, using for this a combiner function. A…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-10-23 Walid Jradi , Hugo do Nascimento , Wellington Martins

Support vector machines (SVMs) are an extremely successful type of classification and regression algorithms. Building an SVM entails solving a constrained convex quadratic programming problem, which is quadratic in the number of training…

Machine Learning · Computer Science 2008-11-15 Danny Bickson , Elad Yom-Tov , Danny Dolev

In this paper we propose a new parallel algorithm for solving global optimization (GO) multidimensional problems. The method unifies two powerful approaches for accelerating the search: parallel computations and local tuning on the behavior…

Optimization and Control · Mathematics 2011-03-31 Yaroslav D. Sergeyev

This paper proposes Genetic Algorithm with Border Trades (GAB), a novel modification of the standard genetic algorithm that enhances exploration by incorporating new chromosome patterns in the breeding process. This approach significantly…

Machine Learning · Computer Science 2025-06-27 Qingchuan Lyu

This paper proposes a novel branch-and-bound(BMWVC) algorithm to exactly solve the minimum weight vertex cover problem (MWVC) in large graphs. The original contribution is several new graph reduction rules, allowing to reduce a graph G and…

Data Structures and Algorithms · Computer Science 2019-03-15 Luzhi Wang , Chu-Min Li , Junping Zhou , Bo Jin , Minghao Yin

Heterogeneous multi core processors can offer diverse computing capabilities. The efficiency of Market Basket Analysis Algorithm can be improved with heterogeneous multi core processors. Market basket analysis algorithm utilises apriori…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-24 Aashiha Priyadarshni. L

A common practice for text retrieval is to use an encoder to map the documents and the query to a common vector space and perform a nearest neighbor search (NNS); multi-hop retrieval also often adopts the same paradigm, usually with a…

Information Retrieval · Computer Science 2022-10-18 Hyunji Lee , Sohee Yang , Hanseok Oh , Minjoon Seo

In this paper we give a f-approximation algorithm for the minimum unweighted Vertex Cover problem with Hard Capacity constraints (VCHC) on f-hypergraphs. This problem generalizes standard vertex cover for which the best known approximation…

Data Structures and Algorithms · Computer Science 2017-01-24 Sam Chiu-wai Wong
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