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Matrix factorization (MF) has been widely used to discover the low-rank structure and to predict the missing entries of data matrix. In many real-world learning systems, the data matrix can be very high-dimensional but sparse. This poses an…

信息检索 · 计算机科学 2019-01-08 Xiangnan He , Jinhui Tang , Xiaoyu Du , Richang Hong , Tongwei Ren , Tat-Seng Chua

We present AMPS, an augmented matrix approach to update the solution to a linear system of equations when the matrix is modified by a few elements within a principal submatrix. This problem arises in the dynamic security analysis of a power…

计算工程、金融与科学 · 计算机科学 2017-06-14 Yu-Hong Yeung , Alex Pothen , Mahantesh Halappanavar , Zhenyu Huang

In many applications involving spatial point patterns, we find evidence of inhibition or repulsion. The most commonly used class of models for such settings are the Gibbs point processes. A recent alternative, at least to the statistical…

统计计算 · 统计学 2016-08-29 Shinichiro Shirota , Alan. E. Gelfand

This paper presents new approaches for finding the determinant and inverse of a matrix. The choice of pivot selection is kept arbitrary and can be made according to the users need. So the ill conditioned matrices can be handled easily. The…

The sparse factorization of a large matrix is fundamental in modern statistical learning. In particular, the sparse singular value decomposition and its variants have been utilized in multivariate regression, factor analysis, biclustering,…

机器学习 · 统计学 2020-03-19 Kun Chen , Ruipeng Dong , Wanwan Xu , Zemin Zheng

Quantum machine learning offers promising advantages for classification tasks, but noise, decoherence, and connectivity constraints in current devices continue to limit the efficient execution of feature map-based circuits. Gate Assessment…

机器学习 · 计算机科学 2026-03-23 F. Rodríguez-Díaz , D. Gutiérrez-Avilés , A. Troncoso , F. Martínez-Álvarez

Large-scale integration of distributed energy resources into residential distribution feeders necessitates careful control of their operation through power flow analysis. While the knowledge of the distribution system model is crucial for…

Sparse matrix-vector multiplication (SpMV) is the core operation in many common network and graph analytics, but poor performance of the SpMV kernel handicaps these applications. This work quantifies the effect of matrix structure on SpMV…

分布式、并行与集群计算 · 计算机科学 2016-11-15 Daniel Kimball , Elizabeth Michel , Paul Keltcher , Michael M. Wolf

Gaussian Processes are widely used for regression tasks. A known limitation in the application of Gaussian Processes to regression tasks is that the computation of the solution requires performing a matrix inversion. The solution also…

机器学习 · 计算机科学 2017-08-22 Sourish Das , Sasanka Roy , Rajiv Sambasivan

Convolutional neural network (CNN) inference on mobile devices demands efficient hardware acceleration of low-precision (INT8) general matrix multiplication (GEMM). Exploiting data sparsity is a common approach to further accelerate GEMM…

硬件体系结构 · 计算机科学 2020-10-14 Zhi-Gang Liu , Paul N. Whatmough , Matthew Mattina

On-chip buses are typically designed to meet performance constraints at worst-case conditions, including process corner, temperature, IR-drop, and neighboring net switching pattern. This can result in significant performance slack at more…

硬件体系结构 · 计算机科学 2011-11-09 Himanshu Kaul , Dennis Sylvester , David Blaauw , Trevor Mudge , Todd Austin

The increasing importance of multicore processors calls for a reevaluation of established numerical algorithms in view of their ability to profit from this new hardware concept. In order to optimize the existent algorithms, a detailed…

性能 · 计算机科学 2012-03-01 Gerald Schubert , Georg Hager , Holger Fehske

In this letter, we propose an algorithm for recovery of sparse and low rank components of matrices using an iterative method with adaptive thresholding. In each iteration, the low rank and sparse components are obtained using a thresholding…

数值分析 · 计算机科学 2017-04-13 Nematollah Zarmehi , Farokh Marvasti

Significant progress in the construction of physical hardware for quantum computers has necessitated the development of new algorithms or protocols for the application of real-world problems on quantum computers. One of these problems is…

量子物理 · 物理学 2023-07-25 Ekin Erdem Aygül , Melih Can Topal , Ufuk Korkmaz , Deniz Türkpençe

The partitioned approach for the numerical integration of power system differential algebraic equations faces inherent numerical stability challenges due to delays between the computation of state and algebraic variables. Such delays can…

数值分析 · 数学 2024-12-17 Ahmad Ali , Haya Monawwar , Hantao Cui

We study the problem of learning latent variables in Gaussian graphical models. Existing methods for this problem assume that the precision matrix of the observed variables is the superposition of a sparse and a low-rank component. In this…

机器学习 · 统计学 2017-07-12 Mohammadreza Soltani , Chinmay Hegde

Over the last few years, research in automatic sleep scoring has mainly focused on developing increasingly complex deep learning architectures. However, recently these approaches achieved only marginal improvements, often at the expense of…

Much work has been dedicated to estimating and optimizing workloads in high-performance computing (HPC) and deep learning. However, researchers have typically relied on few metrics to assess the efficiency of those techniques. Most notably,…

机器学习 · 计算机科学 2023-10-17 Hugo Waltsburger , Erwan Libessart , Chengfang Ren , Anthony Kolar , Regis Guinvarc'h

We present a matrix-factorization algorithm that scales to input matrices with both huge number of rows and columns. Learned factors may be sparse or dense and/or non-negative, which makes our algorithm suitable for dictionary learning,…

机器学习 · 统计学 2017-11-15 Arthur Mensch , Julien Mairal , Bertrand Thirion , Gael Varoquaux

This work presents a new algorithm for matrix power series which is near-sparse, that is, there are a large number of near-zero elements in it. The proposed algorithm uses a filtering technique to improve the sparsity of the matrices…

数值分析 · 数学 2022-08-12 Feng Wu , Li Zhu , Yuelin Zhao , Kailing Zhang