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In this paper, we investigate power-constrained sensing matrix design in a sparse Gaussian linear dimensionality reduction framework. Our study is carried out in a single--terminal setup as well as in a multi--terminal setup consisting of…

信息论 · 计算机科学 2015-10-28 Amirpasha Shirazinia , Subhrakanti Dey

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…

数值分析 · 数学 2023-05-05 H. Harbrecht , M. Multerer , O. Schenk , Ch. Schwab

In complex visual recognition tasks it is typical to adopt multiple descriptors, that describe different aspects of the images, for obtaining an improved recognition performance. Descriptors that have diverse forms can be fused into a…

计算机视觉与模式识别 · 计算机科学 2015-06-15 Jayaraman J. Thiagarajan , Karthikeyan Natesan Ramamurthy , Andreas Spanias

Analyzing array-based computations to determine data dependences is useful for many applications including automatic parallelization, race detection, computation and communication overlap, verification, and shape analysis. For sparse matrix…

Artificial intelligence workloads, especially transformer models, exhibit emergent sparsity in which computations perform selective sparse access to dense data. The workloads are inefficient on hardware designed for dense computations and…

数据结构与算法 · 计算机科学 2024-02-23 Brian Wheatman , Meghana Madhyastha , Randal Burns

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…

数值分析 · 计算机科学 2018-01-01 Daniel Langr

Researchers are increasingly incorporating numeric high-order data, i.e., numeric tensors, within their practice. Just like the matrix/vector (MV) paradigm, the development of multi-purpose, but high-performance, sparse data structures and…

数学软件 · 计算机科学 2018-02-09 Adam P. Harrison , Dileepan Joseph

Linear algebra algorithms are used widely in a variety of domains, e.g machine learning, numerical physics and video games graphics. For all these applications, loop-level parallelism is required to achieve high performance. However,…

机器学习 · 计算机科学 2020-01-24 G. Laberge , S. Shirzad , P. Diehl , H. Kaiser , S. Prudhomme , A. Lemoine

General sparse matrix-matrix multiplication (SpGEMM) is an integral part of many scientific computing, high-performance computing (HPC), and graph analytic applications. This paper presents a new compressed sparse vector (CSV) format for…

性能 · 计算机科学 2021-12-21 Erfan Bank Tavakoli , Michael Riera , Masudul Hassan Quraishi , Fengbo Ren

The Kernel Polynomial Method (KPM) is a well-established scheme in quantum physics and quantum chemistry to determine the eigenvalue density and spectral properties of large sparse matrices. In this work we demonstrate the high optimization…

计算工程、金融与科学 · 计算机科学 2015-07-30 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Andreas Pieper , Andreas Alvermann , Holger Fehske

We present a machine learning framework and a new test bed for data mining from the Slurm Workload Manager for high-performance computing (HPC) clusters. The focus was to find a method for selecting features to support decisions: helping…

机器学习 · 计算机科学 2020-12-16 Adedolapo Okanlawon , Huichen Yang , Avishek Bose , William Hsu , Dan Andresen , Mohammed Tanash

Multiplication of a sparse matrix to a dense matrix (SpDM) is widely used in many areas like scientific computing and machine learning. However, existing works under-look the performance optimization of SpDM on modern many-core…

分布式、并行与集群计算 · 计算机科学 2020-06-01 Shaohuai Shi , Qiang Wang , Xiaowen Chu

In a previous paper it was shown that a machine learning regression problem can be solved within the framework of random function theory, with the optimal kernel analytically derived from symmetry and indifference principles and coinciding…

机器学习 · 计算机科学 2025-12-19 Yuriy N. Bakhvalov

The sparse matrix-vector product (SpMV) is a fundamental operation in many scientific applications from various fields. The High Performance Computing (HPC) community has therefore continuously invested a lot of effort to provide an…

分布式、并行与集群计算 · 计算机科学 2018-05-14 Berenger Bramas , Pavel Kus

We study efficient algorithms for Sparse PCA in standard statistical models (spiked covariance in its Wishart form). Our goal is to achieve optimal recovery guarantees while being resilient to small perturbations. Despite a long history of…

机器学习 · 计算机科学 2020-11-13 Tommaso d'Orsi , Pravesh K. Kothari , Gleb Novikov , David Steurer

We contribute a third-party survey of sparse matrix-vector (SpMV) product performance on industrial-strength, large matrices using: (1) The SpMV implementations in Intel MKL, the Trilinos project (Tpetra subpackage), the CUSPARSE library,…

Network embedding has numerous practical applications and has received extensive attention in graph learning, which aims at mapping vertices into a low-dimensional and continuous dense vector space by preserving the underlying structural…

机器学习 · 计算机科学 2024-08-07 Longlong Lin , Yunfeng Yu , Zihao Wang , Zeli Wang , Yuying Zhao , Jin Zhao , Tao Jia

In this paper, we investigate the problem of optimization multivariate performance measures, and propose a novel algorithm for it. Different from traditional machine learning methods which optimize simple loss functions to learn prediction…

机器学习 · 计算机科学 2015-08-03 Jiachen Yanga , Zhiyong Dinga , Fei Guoa , Huogen Wanga , Nick Hughesb

Modern processors rely heavily on speculation to keep the pipeline filled and consequently execute and commit instructions as close to maximum capacity as possible. To improve instruction-level parallelism, the processor core needs to fetch…

硬件体系结构 · 计算机科学 2021-10-19 Ilias Vougioukas , Andreas Sandberg , Nikos Nikoleris

Recently, sparse subspace clustering has been a valid tool to deal with high-dimensional data. There are two essential steps in the framework of sparse subspace clustering. One is solving the coefficient matrix of data, and the other is…

计算机视觉与模式识别 · 计算机科学 2019-12-24 Wen-Jin Fu , Xiao-Jun Wu , He-Feng Yin , Wen-Bo Hu