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Supercomputers are equipped with an increasingly large number of cores to use computational power as a way of solving problems that are otherwise intractable. Unfortunately, getting serial algorithms to run in parallel to take advantage of…

Distributed, Parallel, and Cluster Computing · Computer Science 2013-12-31 Faisal N. Abu-Khzam , Khuzaima Daudjee , Amer E. Mouawad , Naomi Nishimura

Finding a maximum clique in a given graph is one of the fundamental NP-hard problems. We compare two multi-core thread-parallel adaptations of a state-of-the-art branch and bound algorithm for the maximum clique problem, and provide a novel…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-09-05 Ciaran McCreesh , Patrick Prosser

A common approach for designing scalable algorithms for massive data sets is to distribute the computation across, say $k$, machines and process the data using limited communication between them. A particularly appealing framework here is…

Data Structures and Algorithms · Computer Science 2017-05-24 Sepehr Assadi , Sanjeev Khanna

Many academic disciplines - including information systems, computer science, and operations management - face scheduling problems as important decision making tasks. Since many scheduling problems are NP-hard in the strong sense, there is a…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-05-26 Gerhard Rauchecker , Guido Schryen

The concept of space-bounded computability has become significantly important in handling vast data sets on memory-limited computing devices. To replenish the existing short list of NL-complete problems whose instance sizes are dictated by…

Computational Complexity · Computer Science 2022-06-22 Tomoyuki Yamakami

Optimistic parallelization is a promising approach for the parallelization of irregular algorithms: potentially interfering tasks are launched dynamically, and the runtime system detects conflicts between concurrent activities, aborting and…

Programming Languages · Computer Science 2012-06-28 Francesco Versaci , Keshav Pingali

This paper studies kernel PCA in a decentralized setting, where data are distributively observed with full features in local nodes and a fusion center is prohibited. Compared with linear PCA, the use of kernel brings challenges to the…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-11-30 Fan He , Ruikai Yang , Lei Shi , Xiaolin Huang

We investigate preprocessing for vertex-subset problems on graphs. While the notion of kernelization, originating in parameterized complexity theory, is a formalization of provably effective preprocessing aimed at reducing the total…

Data Structures and Algorithms · Computer Science 2022-07-04 Benjamin Merlin Bumpus , Bart M. P. Jansen , Jari J. H. de Kroon

Sorting is one of the most fundamental problems in the field of computer science. With the rapid development of manycore processors, it shows great importance to design efficient parallel sort algorithm on manycore architecture. This paper…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-18 Tianyi Yu , Wei Li

The Connected Vertex Cover problem, where the goal is to compute a minimum set of vertices in a given graph which forms a vertex cover and induces a connected subgraph, is a fundamental combinatorial problem and has received extensive…

Data Structures and Algorithms · Computer Science 2020-04-30 Diptapriyo Majumdar , M. S. Ramanujan , Saket Saurabh

The reconstruction of an unknown quantity from noisy measurements is a mathematical problem relevant in most applied sciences, for example, in medical imaging, radar inverse scattering, or astronomy. This underlying mathematical problem is…

Optimization and Control · Mathematics 2025-10-14 Nina M. Gottschling , David Iagaru , Jakob Gawlikowski , Ioannis Sgouralis

Genomic data sets are growing dramatically as the cost of sequencing continues to decline and small sequencing devices become available. Enormous community databases store and share this data with the research community, but some of these…

Parametric linear programming is central in polyhedral computations and in certain control applications.We propose a task-based scheme for parallelizing it, with quasi-linear speedup over large problems.

Distributed, Parallel, and Cluster Computing · Computer Science 2019-04-15 Camille Coti , David Monniaux , Hang Yu

We consider the following natural graph cut problem called Critical Node Cut (CNC): Given a graph $G$ on $n$ vertices, and two positive integers $k$ and $x$, determine whether $G$ has a set of $k$ vertices whose removal leaves $G$ with at…

Data Structures and Algorithms · Computer Science 2015-06-30 Danny Hermelin , Moshe Kaspi , Christian Komusiewicz , Barak Navon

Efficiently solving NP-complete problems-such as protein structure prediction, cryptographic decryption, and vulnerability detection-remains a central challenge in computer science. Traditional electronic computers, constrained by the…

Data Structures and Algorithms · Computer Science 2025-07-18 Jin Xu , XiaoLong Shi , Xin Chen , Fang Wang , Sirui Li , Pali Ye , Boliang Zhang , Di Deng , Zheng Kou , Xiaoli Qiang

Metric and kernel learning are important in several machine learning applications. However, most existing metric learning algorithms are limited to learning metrics over low-dimensional data, while existing kernel learning algorithms are…

Machine Learning · Computer Science 2009-11-02 Prateek Jain , Brian Kulis , Jason V. Davis , Inderjit S. Dhillon

It has been observed in many places that constant-factor approximable problems often admit polynomial or even linear problem kernels for their decision versions, e.g., Vertex Cover, Feedback Vertex Set, and Triangle Packing. While there…

Computational Complexity · Computer Science 2015-03-13 Stefan Kratsch

The past few years have witnessed growth in the computational requirements for training deep convolutional neural networks. Current approaches parallelize training onto multiple devices by applying a single parallelization strategy (e.g.,…

Machine Learning · Computer Science 2018-06-12 Zhihao Jia , Sina Lin , Charles R. Qi , Alex Aiken

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

Kernel machines often yield superior predictive performance on various tasks; however, they suffer from severe computational challenges. In this paper, we show how to overcome the important challenge of speeding up kernel machines. In…

Machine Learning · Computer Science 2016-08-09 Cho-Jui Hsieh , Si Si , Inderjit S. Dhillon
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