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Computation of a signal's estimated covariance matrix is an important building block in signal processing, e.g., for spectral estimation. Each matrix element is a sum of products of elements in the input matrix taken over a sliding window.…

数据结构与算法 · 计算机科学 2013-03-12 Oded Green , Lior David , Ami Galperin , Yitzhak Birk

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.,…

机器学习 · 计算机科学 2018-06-12 Zhihao Jia , Sina Lin , Charles R. Qi , Alex Aiken

The history of research on eigenvalue problems is rich with many outstanding contributions. Nonetheless, the rapidly increasing size of data sets requires new algorithms for old problems in the context of extremely large matrix dimensions.…

分布式、并行与集群计算 · 计算机科学 2013-12-17 Hesam T. Dashti , Alireza F. Siahpirani , Liya Wang , Mary Kloc , Amir H. Assadi

The vision of super computer at every desk can be realized by powerful and highly parallel CPUs or GPUs or APUs. Graphics processors once specialized for the graphics applications only, are now used for the highly computational intensive…

分布式、并行与集群计算 · 计算机科学 2012-04-16 Chittampally Vasanth Raja , Srinivas Balasubramanian , Prakash S Raghavendra

We analyze the parallel performance of randomized interpolative decomposition by decomposing low rank complex-valued Gaussian random matrices up to 64 GB. We chose a Cray XMT supercomputer as it provides an almost ideal PRAM model…

分布式、并行与集群计算 · 计算机科学 2014-04-02 Andrew Lucas , Mark Stalzer , John Feo

Matrix Factorization (MF) on large scale data takes substantial time on a Central Processing Unit (CPU). While Graphical Processing Unit (GPU)s could expedite the computation of MF, the available memory on a GPU is finite. Leveraging GPUs…

机器学习 · 计算机科学 2023-04-28 Prasad Bhavana , Vineet Padmanabhan

The acceleration of sparse matrix computations on modern many-core processors, such as the graphics processing units (GPUs), has been recognized and studied over a decade. Significant performance enhancements have been achieved for many…

数学软件 · 计算机科学 2017-10-16 Ruipeng Li

To obtain a better understanding of the trade-offs between various objectives, Bi-Objective Integer Programming (BOIP) algorithms calculate the set of all non-dominated vectors and present these as the solution to a BOIP problem.…

最优化与控制 · 数学 2019-09-10 William Pettersson , Melih Ozlen

In this paper, we report an optimized union-find (UF) algorithm that can label the connected components on a 2D image efficiently by employing the GPU architecture. The proposed method contains three phases: UF-based local merge, boundary…

计算机视觉与模式识别 · 计算机科学 2017-08-30 Jun Chen , Qiang Yao , Houari Sabirin , Keisuke Nonaka , Hiroshi Sankoh , Sei Naito

Graph embedding aims at learning a vector-based representation of vertices that incorporates the structure of the graph. This representation then enables inference of graph properties. Existing graph embedding techniques, however, do not…

As the need for computational power and efficiency rises, parallel systems become increasingly popular among various scientific fields. While multiple core-based architectures have been the center of attention for many years, the rapid…

分布式、并行与集群计算 · 计算机科学 2019-06-11 E. I. Ioannidis , N. Cheimarios , A. N. Spyropoulos , A. G. Boudouvis

Currently, the size of scientific data is growing at an unprecedented rate. Data in the form of tensors exhibit high-order, high-dimensional, and highly sparse features. Although tensor-based analysis methods are very effective, the large…

分布式、并行与集群计算 · 计算机科学 2022-10-13 Zixuan Li

With the abundance of data in recent years, interesting challenges are posed in the area of recommender systems. Producing high quality recommendations with scalability and performance is the need of the hour. Singular Value…

机器学习 · 计算机科学 2019-07-19 Prasad Bhavana , Vikas Kumar , Vineet Padmanabhan

Discrete variational methods show excellent performance in numerical simulations of different mechanical systems. In this paper, we introduce an iterative procedure for the solution of discrete variational equations for boundary value…

Real-world node embedding applications often contain hundreds of billions of edges with high-dimension node features. Scaling node embedding systems to efficiently support these applications remains a challenging problem. In this paper we…

分布式、并行与集群计算 · 计算机科学 2021-08-19 Wanjing Wei , Yangzihao Wang , Pin Gao , Shijie Sun , Donghai Yu

In this technical note we show how to reach a remarkable speed up when solving elliptic partial differential equations with finite differences thanks to the joint use of the Chebyshev-Jacobi method with high order discretizations and its…

数值分析 · 数学 2017-05-02 J. E. Adsuara , M. A. Aloy , P. Cerdá-Durán , I. Cordero-Carrión

We present a massively parallel Lagrange decomposition method for solving 0--1 integer linear programs occurring in structured prediction. We propose a new iterative update scheme for solving the Lagrangean dual and a perturbation technique…

最优化与控制 · 数学 2022-04-20 Ahmed Abbas , Paul Swoboda

EigenDecomposition (ED) is at the heart of many computer vision algorithms and applications. One crucial bottleneck limiting its usage is the expensive computation cost, particularly for a mini-batch of matrices in deep neural networks. Our…

机器学习 · 计算机科学 2026-05-01 Yue Song

The Hadamard decomposition is a powerful technique for data analysis and matrix compression, which decomposes a given matrix into the element-wise product of two or more low-rank matrices. In this paper, we develop an efficient algorithm to…

机器学习 · 计算机科学 2025-04-23 Samuel Wertz , Arnaud Vandaele , Nicolas Gillis

Support vector machines (SVMs) are popular learning algorithms to deal with binary classification problems. They traditionally assume equal misclassification costs for each class; however, real-world problems may have an uneven class…

机器学习 · 计算机科学 2022-04-22 Alejandro Rosales-Pérez , Salvador García , Francisco Herrera