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We study the tensor robust principal component analysis (TRPCA) problem, a tensorial extension of matrix robust principal component analysis (RPCA), that aims to split the given tensor into an underlying low-rank component and a sparse…

Numerical Analysis · Mathematics 2024-01-30 HanQin Cai , Zehan Chao , Longxiu Huang , Deanna Needell

Tensor decompositions are promising tools for big data analytics as they bring multiple modes and aspects of data to a unified framework, which allows us to discover complex internal structures and correlations of data. Unfortunately most…

Numerical Analysis · Computer Science 2014-12-30 Guoxu Zhou , Andrzej Cichocki , Shengli Xie

In recent years, the application of tensors has become more widespread in fields that involve data analytics and numerical computation. Due to the explosive growth of data, low-rank tensor decompositions have become a powerful tool to…

Numerical Analysis · Mathematics 2020-11-03 Lingjie Li , Wenjian Yu , Kim Batselier

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…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-10-13 Zixuan Li

Improving the computational efficiency of quantum many-body calculations from a hardware perspective remains a critical challenge. Although field-programmable gate arrays (FPGAs) have recently been exploited to improve the computational…

Strongly Correlated Electrons · Physics 2026-02-06 Songtai Lv , Yang Liang , Rui Zhu , Qibin Zheng , Haiyuan Zou

Photonics-based in-memory computing systems have demonstrated a significant speedup over traditional transistor-based systems because of their ultra-fast operating frequencies and high data bandwidths. Photonic static random access memory…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-25 Sasindu Wijeratne , Sugeet Sunder , Md Abdullah-Al Kaiser , Akhilesh Jaiswal , Clynn Mathew , Ajey P. Jacob , Viktor Prasanna

Embedded Field-Programmable Gate Arrays (eFPGAs) allow for the design of hardware accelerators of edge Machine Learning (ML) applications at a lower power budget compared with traditional FPGA platforms. However, the limited eFPGA logic and…

Hardware Architecture · Computer Science 2025-02-13 Tousif Rahman , Gang Mao , Bob Pattison , Sidharth Maheshwari , Marcos Sartori , Adrian Wheeldon , Rishad Shafik , Alex Yakovlev

In the evolving landscape of neural network models, one prominent challenge stand out: the significant memory overheads associated with training expansive models. Addressing this challenge, this study delves deep into the Rotated Tensor…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-11-06 Cheng Luo , Tianle Zhong , Geoffrey Fox

We employ pressure point analysis and roofline modeling to identify performance bottlenecks and determine an upper bound on the performance of the Canonical Polyadic Alternating Poisson Regression Multiplicative Update (CP-APR MU) algorithm…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-07-10 S. Isaac Geronimo Anderson , Keita Teranishi , Daniel M. Dunlavy , Jee Choi

Various hardware accelerators have been developed for energy-efficient and real-time inference of neural networks on edge devices. However, most training is done on high-performance GPUs or servers, and the huge memory and computing costs…

Hardware Architecture · Computer Science 2021-04-21 Kaiqi Zhang , Cole Hawkins , Xiyuan Zhang , Cong Hao , Zheng Zhang

Recent hardware acceleration advances have enabled powerful specialized accelerators for finite element computations, spiking neural network inference, and sparse tensor operations. However, existing approaches face fundamental limitations:…

Hardware Architecture · Computer Science 2026-01-09 Chuanzhen Wang , Leo Zhang , Eric Liu

Machine learning (ML) models are widely used in many important domains. For efficiently processing these computational- and memory-intensive applications, tensors of these over-parameterized models are compressed by leveraging sparsity,…

Hardware Architecture · Computer Science 2021-08-11 Shail Dave , Riyadh Baghdadi , Tony Nowatzki , Sasikanth Avancha , Aviral Shrivastava , Baoxin Li

Tensor algebra lies at the core of computational science and machine learning. Due to its high usage, entire libraries exist dedicated to improving its performance. Conventional tensor algebra performance boosts focus on algorithmic…

Programming Languages · Computer Science 2022-08-16 Sathvik Redrouthu , Rishi Athavale

Tucker decomposition is one of the most popular models for analyzing and compressing large-scale tensorial data. Existing Tucker decomposition algorithms usually rely on a single solver to compute the factor matrices and core tensor, and…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-21 Min Li , Chuanfu Xiao , Chao Yang

Tensor decomposition has been widely used in machine learning and high-volume data analysis. However, large-scale tensor factorization often consumes huge memory and computing cost. Meanwhile, modernized computing hardware such as tensor…

Optimization and Control · Mathematics 2022-09-12 Zi Yang , Junnan Shan , Zheng Zhang

To respond to the need of efficient training and inference of deep neural networks, a plethora of domain-specific hardware architectures have been introduced, such as Google Tensor Processing Units and NVIDIA Tensor Cores. A common feature…

Data Structures and Algorithms · Computer Science 2020-07-10 Rezaul Chowdhury , Francesco Silvestri , Flavio Vella

We propose a new algorithm called higher-order QR iteration (HOQRI) for computing low multilinear rank approximation (LMLRA), also known as the Tucker decomposition, of large and sparse tensors. Compared to the celebrated higher-order…

Numerical Analysis · Mathematics 2025-10-21 Yuchen Sun , Amit Bhat , Chunmei Wang , Kejun Huang

This paper shows how to optimize sparse tensor algebraic expressions by introducing temporary tensors, called workspaces, into the resulting loop nests. We develop a new intermediate language for tensor operations called concrete index…

Mathematical Software · Computer Science 2023-10-18 Fredrik Kjolstad , Willow Ahrens , Shoaib Kamil , Saman Amarasinghe

Machine learning (ML) is successful in achieving human-level performance in various fields. However, it lacks the ability to explain an outcome due to its black-box nature. While existing explainable ML is promising, almost all of these…

Machine Learning · Computer Science 2021-03-23 Zhixin Pan , Prabhat Mishra

Large language models (LLMs) are both storage-intensive and computation-intensive, posing significant challenges when deployed on resource-constrained hardware. As linear layers in LLMs are mainly resource consuming parts, this paper…

Hardware Architecture · Computer Science 2025-02-03 Sixiao Huang , Tintin Wang , Ang Li , Ao Shen , Kai Li , Keyao Jiang , Mingqiang Huang , Hao Yu