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K-means is a popular clustering algorithm with significant applications in numerous scientific and engineering areas. One drawback of K-means is its inability to identify non-linearly separable clusters, which may lead to inaccurate…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-13 Julian Bellavita , Thomas Pasquali , Laura Del Rio Martin , Flavio Vella , Giulia Guidi

Multiple Kernel Learning(MKL) on Support Vector Machines(SVMs) has been a popular front of research in recent times due to its success in application problems like Object Categorization. This success is due to the fact that MKL has the…

Machine Learning · Computer Science 2014-01-03 Dinesh Govindaraj , Raman Sankaran , Sreedal Menon , Chiranjib Bhattacharyya

Subgradient algorithms for training support vector machines have been quite successful for solving large-scale and online learning problems. However, they have been restricted to linear kernels and strongly convex formulations. This paper…

Machine Learning · Computer Science 2011-11-04 Sangkyun Lee , Stephen J. Wright

Ultra-reliable and low-latency communications (URLLC) partakes a major role in 5G networks for mission-critical applications. Sparse vector coding (SVC) appears as a strong candidate for future URLLC networks by enabling superior…

Signal Processing · Electrical Eng. & Systems 2020-04-20 Emre Arslan , Ali Tugberk Dogukan , Ertugrul Basar

Sparse matrices are favorable objects in machine learning and optimization. When such matrices are used, in place of dense ones, the overall complexity requirements in optimization can be significantly reduced in practice, both in terms of…

Information Theory · Computer Science 2016-04-05 Anastasios Kyrillidis , Bubacarr Bah , Rouzbeh Hasheminezhad , Quoc Tran-Dinh , Luca Baldassarre , Volkan Cevher

The peak performance of any SpMV depends primarily on the available memory bandwidth and its effective use. GPUs, ASICs, and new FPGAs have higher and higher bandwidth; however, for large scale and highly sparse matrices, SpMV is still a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-08-02 Paolo D'Alberto , Abhishek Jain , Ismail Bustany , Henri Fraisse , Mansimran Benipal

Leveraging the SIMD capability of modern CPU architectures is mandatory to take full benefit of their increasing performance. To exploit this feature, binary executables must be explicitly vectorized by the developers or an automatic…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-03 Hayfa Tayeb , Ludovic Paillat , Berenger Bramas

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in scientific computing, graph analytics, and machine learning, whose performance is often constrained by memory bandwidth. In this work, we investigate the applicability…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-09 Matthew Qian , Yahia Ramadan , Suhita Anubha , Ariful Azad

We propose a sparse algebra for samplet compressed kernel matrices, to enable efficient scattered data analysis. We show the compression of kernel matrices by means of samplets produces optimally sparse matrices in a certain S-format. It…

Numerical Analysis · Mathematics 2023-05-05 H. Harbrecht , M. Multerer , O. Schenk , Ch. Schwab

We suggest a technique to reduce the storage size of sparse matrices at no loss of information. We call this technique Diagonally-Adressed (DA) storage. It exploits the typically low matrix bandwidth of matrices arising in applications. For…

Numerical Analysis · Mathematics 2025-01-24 Jens Saak , Jonas Schulze

Sparse matrix-matrix multiplication (SpGEMM) is a widely used kernel in various graph, scientific computing and machine learning algorithms. In this paper, we consider SpGEMMs performed on hundreds of thousands of processors generating…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-19 Md Taufique Hussain , Oguz Selvitopi , Aydin Buluç , Ariful Azad

Scaling up the sparse matrix-vector multiplication kernel on modern Graphics Processing Units (GPU) has been at the heart of numerous studies in both academia and industry. In this article we present a novel non-parametric, self-tunable,…

Numerical Analysis · Computer Science 2012-12-24 Xintian Yang , Srinivasan Parthasarathy , Ponnuswamy Sadayappan

Runtime characteristics of sparse matrix computations and related processes may be often improved by reducing memory footprints of involved matrices. Such a reduction can be usually achieved when matrices are processed in a block-wise…

Numerical Analysis · Computer Science 2018-01-01 Daniel Langr

Support Vector Machines (SVMs) are powerful learners that have led to state-of-the-art results in various computer vision problems. SVMs suffer from various drawbacks in terms of selecting the right kernel, which depends on the image…

Computer Vision and Pattern Recognition · Computer Science 2014-03-31 Gemma Roig , Xavier Boix , Luc Van Gool

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

Optimization and Control · Mathematics 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

Sparse linear iterative solvers are essential for many large-scale simulations. Much of the runtime of these solvers is often spent in the implicit evaluation of matrix polynomials via a sequence of sparse matrix-vector products. A variety…

Numerical Analysis · Mathematics 2026-05-12 Christie Alappat , Jonas Thies , Georg Hager , Holger Fehske , Gerhard Wellein

This paper presents a novel framework for designing support vector machines (SVMs), which does not impose restriction on the SVM kernel to be positive-definite and allows the user to define memory constraint in terms of fixed template…

Neural and Evolutionary Computing · Computer Science 2020-01-07 P. Kumar , A. R. Nair , O. Chatterjee , T. Paul , A. Ghosh , S. Chakrabartty , C. S. Thakur

Support vector machines (SVM) can classify data sets along highly non-linear decision boundaries because of the kernel-trick. This expressiveness comes at a price: During test-time, the SVM classifier needs to compute the kernel…

Machine Learning · Computer Science 2015-02-03 Zhixiang Xu , Jacob R. Gardner , Stephen Tyree , Kilian Q. Weinberger

Sparse Matrix-Vector Multiplication (SpMV) is the cornerstone in many iterative workloads, including large-scale graph analytics and sparse iterative solvers. Accelerating SpMV on real-world graphs remains challenging due to highly…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-05-11 Qi Zhang , Zhengan Yao , Zhenglu Jiang , Zan-Bo Zhang

Owing to the diverse scales and varying distributions of sparse matrices arising from practical problems, a multitude of choices are present in the design and implementation of sparse matrix-vector multiplication (SpMV). Researchers have…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-18 Jianhua Gao , Bingjie Liu , Yizhuo Wang , Weixing Ji , Hua Huang
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