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Robust principal component analysis (RPCA) can recover low-rank matrices when they are corrupted by sparse noises. In practice, many matrices are, however, of high-rank and hence cannot be recovered by RPCA. We propose a novel method called…

Machine Learning · Computer Science 2019-04-19 Jicong Fan , Tommy W. S. Chow

Sparse Tensor Cores offer exceptional performance gains for AI workloads by exploiting structured 2:4 sparsity. However, their potential remains untapped for core scientific workloads such as stencil computations, which exhibit irregular…

Computational Engineering, Finance, and Science · Computer Science 2025-07-01 Qi Li , Kun Li , Haozhi Han , Liang Yuan , Junshi Chen , Yunquan Zhang , Yifeng Chen , Hong An , Ting Cao , Mao Yang

Tensor algebra finds applications in various domains, and these applications, especially when accelerated on spatial hardware accelerators, can deliver high performance and low power. Spatial hardware accelerator exhibits complex design…

Hardware Architecture · Computer Science 2021-04-27 Liancheng Jia , Zizhang Luo , Liqiang Lu , Yun Liang

Tucker decomposition is proposed to reduce the memory requirement of the far-fields in the fast multipole method (FMM)-accelerated surface integral equation simulators. It is particularly used to compress the far-fields of FMM groups, which…

Computational Physics · Physics 2021-04-09 Cheng Qian , Mingyu Wang , Abdulkadir C. Yucel

The increasing complexity and scale of Deep Neural Networks (DNNs) necessitate specialized tensor accelerators, such as Tensor Processing Units (TPUs), to meet various computational and energy efficiency requirements. Nevertheless,…

Hardware Architecture · Computer Science 2025-03-11 Deepak Vungarala , Mohammed E. Elbtity , Sumiya Syed , Sakila Alam , Kartik Pandit , Arnob Ghosh , Ramtin Zand , Shaahin Angizi

Recently, numerous sparse hardware accelerators for Deep Neural Networks (DNNs), Graph Neural Networks (GNNs), and scientific computing applications have been proposed. A common characteristic among all of these accelerators is that they…

While convolutional neural networks (CNNs) have become the de facto standard for most image processing and computer vision applications, their deployment on edge devices remains challenging. Tensor decomposition methods provide a means of…

Computer Vision and Pattern Recognition · Computer Science 2022-10-13 Marawan Gamal Abdel Hameed , Ali Mosleh , Marzieh S. Tahaei , Vahid Partovi Nia

The CP decomposition for high dimensional non-orthogonal spiked tensors is an important problem with broad applications across many disciplines. However, previous works with theoretical guarantee typically assume restrictive incoherence…

Machine Learning · Statistics 2022-09-20 Yuefeng Han , Cun-Hui Zhang

Modern field programmable gate array(FPGA) can be partially dynamically reconfigurable with heterogeneous resources distributed on the chip. And FPGA-based partially dynamically reconfigurable system(FPGA-PDRS) can be used to accelerate…

Systems and Control · Electrical Eng. & Systems 2022-12-13 Bo Ding , Jinglei Huang , Junpeng Wang , Qi Xu , Song Chen , Yi Kang

The Tensor-Train (TT) format is a highly compact low-rank representation for high-dimensional tensors. TT is particularly useful when representing approximations to the solutions of certain types of parametrized partial differential…

This work studies the combinatorial optimization problem of finding an optimal core tensor shape, also called multilinear rank, for a size-constrained Tucker decomposition. We give an algorithm with provable approximation guarantees for its…

Data Structures and Algorithms · Computer Science 2024-06-19 Mehrdad Ghadiri , Matthew Fahrbach , Gang Fu , Vahab Mirrokni

Low-rank tensor compression has been proposed as a promising approach to reduce the memory and compute requirements of neural networks for their deployment on edge devices. Tensor compression reduces the number of parameters required to…

Machine Learning · Computer Science 2021-11-03 Cole Hawkins , Haichuan Yang , Meng Li , Liangzhen Lai , Vikas Chandra

We present TensoRF, a novel approach to model and reconstruct radiance fields. Unlike NeRF that purely uses MLPs, we model the radiance field of a scene as a 4D tensor, which represents a 3D voxel grid with per-voxel multi-channel features.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-30 Anpei Chen , Zexiang Xu , Andreas Geiger , Jingyi Yu , Hao Su

Tensor accelerators now represent a growing share of compute resources in modern CPUs and GPUs. However, they are hard to program, leading developers to use vendor-provided kernel libraries that support tensor accelerators. As a result, the…

Programming Languages · Computer Science 2026-02-12 Yihong Zhang , Derek Gerstmann , Andrew Adams , Maaz Bin Safeer Ahmad

Our goal is compression of massive-scale grid-structured data, such as the multi-terabyte output of a high-fidelity computational simulation. For such data sets, we have developed a new software package called TuckerMPI, a parallel C++/MPI…

Mathematical Software · Computer Science 2020-07-09 Grey Ballard , Alicia Klinvex , Tamara G. Kolda

Spectral methods have been the mainstay in several domains such as machine learning and scientific computing. They involve finding a certain kind of spectral decomposition to obtain basis functions that can capture important structures for…

Machine Learning · Computer Science 2020-04-20 Majid Janzamin , Rong Ge , Jean Kossaifi , Anima Anandkumar

How can we capture the hidden properties from a tensor and a matrix data simultaneously in a fast, accurate, and scalable way? Coupled matrix-tensor factorization (CMTF) is a major tool to extract latent factors from a tensor and matrices…

Numerical Analysis · Computer Science 2017-12-06 Dongjin Choi , Jun-Gi Jang , U Kang

Model Reprogramming (MR) is a resource-efficient framework that adapts large pre-trained models to new tasks with minimal additional parameters and data, offering a promising solution to the challenges of training large models for diverse…

Machine Learning · Computer Science 2025-06-03 Ming-Yu Chung , Jiashuo Fan , Hancheng Ye , Qinsi Wang , Wei-Chen Shen , Chia-Mu Yu , Pin-Yu Chen , Sy-Yen Kuo

Symmetric and sparse tensors arise naturally in many domains including linear algebra, statistics, physics, chemistry, and graph theory. Symmetric tensors are equal to their transposes, so in the $n$-dimensional case we can save up to a…

Mathematical Software · Computer Science 2025-01-27 Radha Patel , Willow Ahrens , Saman Amarasinghe

In this paper, we demonstrate a compiler that can optimize sparse and recurrent neural networks, both of which are currently outside of the scope of existing neural network compilers (sparse neural networks here stand for networks that can…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Riyadh Baghdadi , Abdelkader Nadir Debbagh , Kamel Abdous , Fatima Zohra Benhamida , Alex Renda , Jonathan Elliott Frankle , Michael Carbin , Saman Amarasinghe