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A new statistical model designed for regression analysis with a sparse design matrix is proposed. This new model utilizes the positions of the limited non-zero elements in the design matrix to decompose the regression model into…

应用统计 · 统计学 2022-01-17 Hsien-Wei Chen

We give two algorithms for output-sparse matrix multiplication (OSMM), the problem of multiplying two $n \times n$ matrices $A, B$ when their product $AB$ is promised to have at most $O(n^{\delta})$ many non-zero entries for a given value…

数据结构与算法 · 计算机科学 2025-08-15 Huck Bennett , Karthik Gajulapalli , Alexander Golovnev , Evelyn Warton

Term-based sparse representations dominate the first-stage text retrieval in industrial applications, due to its advantage in efficiency, interpretability, and exact term matching. In this paper, we study the problem of transferring the…

信息检索 · 计算机科学 2020-10-05 Yang Bai , Xiaoguang Li , Gang Wang , Chaoliang Zhang , Lifeng Shang , Jun Xu , Zhaowei Wang , Fangshan Wang , Qun Liu

We introduce an algorithm for efficiently representing convolution with zero-padding and stride as a sparse transformation matrix, applied to a vectorized input through sparse matrix-vector multiplication (SpMV). We provide a theoretical…

机器学习 · 计算机科学 2024-12-02 Zan Chaudhry

Matrix completion constantly receives tremendous attention from many research fields. It is commonly applied for recommender systems such as movie ratings, computer vision such as image reconstruction or completion, multi-task learning such…

机器学习 · 计算机科学 2019-10-08 Abdallah Chehade , Zunya Shi

Sparse matrix-dense matrix multiplication (SpMM) is a critical kernel in both scientific computing and emerging graph learning workloads. The recent Armv9 architecture introduces Scalable Matrix Extension (SME), enabling tile-based matrix…

分布式、并行与集群计算 · 计算机科学 2025-11-14 Kelun Lei , Hailong Yang , Kaige Zhang , Kejie Ma , Yiqing Wang , Xin You , Yufan Xu , Enrique S. Quintana-Orti , Zhongzhi Luan , Yi Liu , Depei Qian

Long Short-Term Memory (LSTM) has achieved state-of-the-art performances on a wide range of tasks. Its outstanding performance is guaranteed by the long-term memory ability which matches the sequential data perfectly and the gating…

神经与进化计算 · 计算机科学 2019-01-29 Shiwei Liu , Decebal Constantin Mocanu , Mykola Pechenizkiy

We reconsider randomized algorithms for the low-rank approximation of symmetric positive semi-definite (SPSD) matrices such as Laplacian and kernel matrices that arise in data analysis and machine learning applications. Our main results…

机器学习 · 计算机科学 2013-06-05 Alex Gittens , Michael W. Mahoney

Deep generative models have emerged as a popular machine learning-based approach for inverse design problems in the life sciences. However, these problems often require sampling new designs that satisfy multiple properties of interest in…

Sparse regression and classification estimators that respect group structures have application to an assortment of statistical and machine learning problems, from multitask learning to sparse additive modeling to hierarchical selection.…

统计方法学 · 统计学 2024-03-11 Ryan Thompson , Farshid Vahid

Diagnosis results are highly dependent on the volume of test set. To derive the most efficient test set, we propose several machine learning based methods to predict the minimum amount of test data that produces relatively accurate…

机器学习 · 计算机科学 2020-10-30 Kaiming Fu , Yulu Jin , Zhousheng Chen

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…

分布式、并行与集群计算 · 计算机科学 2026-05-11 Qi Zhang , Zhengan Yao , Zhenglu Jiang , Zan-Bo Zhang

Hamming weights of sparse and long binary vectors are important modules in many scientific applications, particularly in spiking neural networks that are of our interest. To improve both area and latency of their FPGA implementations, we…

神经与进化计算 · 计算机科学 2021-05-03 Kaveh Akbarzadeh-Sherbaf , Mikaeel Bahmani , Danial Ghiaseddin , Saeed Safari , Abdol-Hossein Vahabie

As nowadays Machine Learning (ML) techniques are generating huge data collections, the problem of how to efficiently engineer their storage and operations is becoming of paramount importance. In this article we propose a new lossless…

数据结构与算法 · 计算机科学 2022-03-31 Paolo Ferragina , Travis Gagie , Dominik Köppl , Giovanni Manzini , Gonzalo Navarro , Manuel Striani , Francesco Tosoni

In this work, the development and implementation of the effective stochastic potential (ESP) method is presented to perform efficient conformational sampling of molecules. The overarching goal of this work is to alleviate the computational…

化学物理 · 物理学 2018-08-01 Jeremy A. Scher , Michael G. Bayne , Amogh Srihari , Shikha Nangia , Arindam Chakraborty

Structured prediction requires searching over a combinatorial number of structures. To tackle it, we introduce SparseMAP: a new method for sparse structured inference, and its natural loss function. SparseMAP automatically selects only a…

机器学习 · 统计学 2018-06-21 Vlad Niculae , André F. T. Martins , Mathieu Blondel , Claire Cardie

We discuss a strategy of sparse approximation that is based on the use of an overcomplete basis, and evaluate its performance when a random matrix is used as this basis. A small combination of basis vectors is chosen from a given…

信息论 · 计算机科学 2016-06-29 Yoshinori Nakanishi-Ohno , Tomoyuki Obuchi , Masato Okada , Yoshiyuki Kabashima

Approximate inference via information projection has been recently introduced as a general-purpose approach for efficient probabilistic inference given sparse variables. This manuscript goes beyond classical sparsity by proposing efficient…

机器学习 · 统计学 2016-07-13 Rajiv Khanna , Joydeep Ghosh , Russell Poldrack , Oluwasanmi Koyejo

We develop a data-driven method, based on semi-supervised classification, to predict the asymptotic state of multistable systems when only sparse spatial measurements of the system are feasible. Our method predicts the asymptotic behavior…

动力系统 · 数学 2021-06-30 Bryan Chu , Mohammad Farazmand

We consider a randomised implementation of the finite element method (FEM) for elliptic partial differential equations on high-dimensional models. This is motivated by applications where model predictions are essential for real-time process…

数值分析 · 数学 2019-07-30 Yue Wu , Dimitris Kamilis , Nick Polydorides