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Accurate simulations of various physical processes on digital computers requires huge computing performance, therefore accelerating these scientific and engineering applications has a great importance. Density of programmable logic devices…

Performance · Computer Science 2014-08-26 Zoltan Nagy , Csaba Nemes , Antal Hiba , Arpad Csik , Andras Kiss , Miklos Ruszinko , Peter Szolgay

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

Machine Learning · Statistics 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

Cardiac action potential models allow examination of a variety of cardiac dynamics, including how behavior may change under specific interventions. To study a specific scenario, including patient-specific cases, model parameter sets must be…

Computational Engineering, Finance, and Science · Computer Science 2025-04-21 Darby I. Cairns , Maxfield R. Comstock , Flavio H. Fenton , Elizabeth M. Cherry

Sparse matrices, as prevalent primitive of various scientific computing algorithms, persist as a bottleneck in processing. A skew-symmetric matrix flips signs of symmetric pairs in a symmetric matrix. Our work, Parallel 3-Way Banded…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-26 Selin Yildirim , Murat Manguoglu

Sparse matrix multiplication is an important component of linear algebra computations. Implementing sparse matrix multiplication on an associative processor (AP) enables high level of parallelism, where a row of one matrix is multiplied in…

Mathematical Software · Computer Science 2017-05-23 L. Yavits , A. Morad , R. Ginosar

We consider the problem of estimating multiple principal components using the recently-proposed Sparse and Functional Principal Components Analysis (SFPCA) estimator. We first propose an extension of SFPCA which estimates several principal…

Machine Learning · Statistics 2020-12-10 Michael Weylandt

Sparse matrices are an integral part of scientific simulations. As hardware evolves new sparse matrix storage formats are proposed aiming to exploit optimizations specific to the new hardware. In the era of heterogeneous computing, users…

Machine Learning · Computer Science 2023-03-10 Christodoulos Stylianou , Michele Weiland

Sparse Principal Component Analysis (Sparse PCA) is a pivotal tool in data analysis and dimensionality reduction. However, Sparse PCA is a challenging problem in both theory and practice: it is known to be NP-hard and current exact methods…

Machine Learning · Computer Science 2025-03-06 Alberto Del Pia , Dekun Zhou , Yinglun Zhu

Compressed Sparse Column (CSC) and Coordinate (COO) are popular compression formats for sparse matrices. However, both CSC and COO are general purpose and cannot take advantage of any of the properties of the data other than sparsity, such…

Data Structures and Algorithms · Computer Science 2025-07-01 Skyler Ruiter , Seth Wolfgang , Marc Tunnell , Timothy Triche , Erin Carrier , Zachary DeBruine

Sparsely-gated Mixture of Experts networks (MoEs) have demonstrated excellent scalability in Natural Language Processing. In Computer Vision, however, almost all performant networks are "dense", that is, every input is processed by every…

Computer Vision and Pattern Recognition · Computer Science 2021-06-14 Carlos Riquelme , Joan Puigcerver , Basil Mustafa , Maxim Neumann , Rodolphe Jenatton , André Susano Pinto , Daniel Keysers , Neil Houlsby

We consider a sparse matrix-matrix multiplication (SpGEMM) setting where one matrix is square and the other is tall and skinny. This special variant, called TS-SpGEMM, has important applications in multi-source breadth-first search,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-23 Isuru Ranawaka , Md Taufique Hussain , Charles Block , Gerasimos Gerogiannis , Josep Torrellas , Ariful Azad

In this paper, we evaluate the performance of various parallel optimization methods for Kernel Support Vector Machines on multicore CPUs and GPUs. In particular, we provide the first comparison of algorithms with explicit and implicit…

Machine Learning · Computer Science 2014-04-04 Stephen Tyree , Jacob R. Gardner , Kilian Q. Weinberger , Kunal Agrawal , John Tran

Sparse matrix-vector multiplication (spMVM) is the most time-consuming kernel in many numerical algorithms and has been studied extensively on all modern processor and accelerator architectures. However, the optimal sparse matrix data…

Mathematical Software · Computer Science 2014-10-21 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Holger Fehske , Alan R. Bishop

This paper argues that randomized linear sketching is a natural tool for on-the-fly compression of data matrices that arise from large-scale scientific simulations and data collection. The technical contribution consists in a new algorithm…

Numerical Analysis · Computer Science 2019-02-26 Joel A. Tropp , Alp Yurtsever , Madeleine Udell , Volkan Cevher

Sparse compiler is a promising solution for sparse tensor algebra optimization. In compiler implementation, reduction in sparse-dense hybrid algebra plays a key role in performance. Though GPU provides various reduction semantics that can…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-01-10 Genghan Zhang , Yuetong Zhao , Yanting Tao , Zhongming Yu , Guohao Dai , Sitao Huang , Yuan Wen , Pavlos Petoumenos , Yu Wang

A great deal of research has been conducted in the consideration of meta-heuristic optimisation methods that are able to find global optima in settings that gradient based optimisers have traditionally struggled. Of these, so-called…

Neural and Evolutionary Computing · Computer Science 2023-05-01 Max D. Champneys , Timothy J. Rogers

Sparse matrix multiplication (SpGEMM) is a fundamental kernel used in many diverse application areas, both numerical and discrete. For example, many algebraic graph algorithms rely on SpGEMM in the tropical semiring to compute shortest…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-01 Alexander van der Grinten , Geert Custers , Duy Le Thanh , Henning Meyerhenke

Federated Learning (FL) aims to train machine learning models for multiple clients without sharing their own private data. Due to the heterogeneity of clients' local data distribution, recent studies explore the personalized FL that learns…

Machine Learning · Computer Science 2023-06-12 Daoyuan Chen , Liuyi Yao , Dawei Gao , Bolin Ding , Yaliang Li

Principal component analysis (PCA) is widely used for dimension reduction and embedding of real data in social network analysis, information retrieval, and natural language processing, etc. In this work we propose a fast randomized PCA…

Machine Learning · Computer Science 2018-10-17 Xu Feng , Yuyang Xie , Mingye Song , Wenjian Yu , Jie Tang

Sparse matrix-vector multiplication (SpMV) multiplies a sparse matrix with a dense vector. SpMV plays a crucial role in many applications, from graph analytics to deep learning. The random memory accesses of the sparse matrix make…

Hardware Architecture · Computer Science 2022-05-10 Linghao Song , Yuze Chi , Licheng Guo , Jason Cong