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Automated code generation and performance enhancements for sparse tensor algebra have become essential in many real-world applications, such as quantum computing, physical simulations, computational chemistry, and machine learning. General…

Programming Languages · Computer Science 2024-08-20 Adhitha Dias , Logan Anderson , Kirshanthan Sundararajah , Artem Pelenitsyn , Milind Kulkarni

In last decades optimization and control of complex systems that possessed various conflicted objectives simultaneously attracted an incremental interest of scientists. This is because of the vast applications of these systems in various…

Neural and Evolutionary Computing · Computer Science 2013-12-17 Ahmad Mozaffari , Alireza Fathi

With the rapid growth in the scale of pre-trained foundation models, parameter-efficient fine-tuning techniques have gained significant attention, among which Adapter Tuning is the most widely used. Despite achieving efficiency, it still…

Computer Vision and Pattern Recognition · Computer Science 2024-03-26 Qizhe Zhang , Bocheng Zou , Ruichuan An , Jiaming Liu , Shanghang Zhang

A low-latency and energy-efficient tensor algebra accelerator design must optimize how data movement and operations are scheduled (i.e., mapped) in the accelerator architecture. A key mapping optimization is fusion, meaning holding data…

Hardware Architecture · Computer Science 2026-05-05 Tanner Andrulis , Michael Gilbert , Vivienne Sze , Joel S. Emer

The Sparse GEneral Matrix-Matrix multiplication (SpGEMM) $C = A \times B$ is a fundamental routine extensively used in domains like machine learning or graph analytics. Despite its relevance, the efficient execution of SpGEMM on vector…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-05 Valentin Le Fèvre , Marc Casas

High-performance sparse matrix-matrix (SpMM) multiplication is paramount for science and industry, as the ever-increasing sizes of data prohibit using dense data structures. Yet, existing hardware, such as Tensor Cores (TC), is ill-suited…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-22 Patrik Okanovic , Grzegorz Kwasniewski , Paolo Sylos Labini , Maciej Besta , Flavio Vella , Torsten Hoefler

Large language models (LLMs) rely on self-attention for contextual understanding, demanding high-throughput inference and large-scale token parallelism (LTPP). Existing dynamic sparsity accelerators falter under LTPP scenarios due to…

Hardware Architecture · Computer Science 2025-12-25 Huizheng Wang , Taiquan Wei , Hongbin Wang , Zichuan Wang , Xinru Tang , Zhiheng Yue , Shaojun Wei , Yang Hu , Shouyi Yin

Tensors play a vital role in machine learning (ML) and often exhibit properties best explored while maintaining high-order. Efficiently performing ML computations requires taking advantage of sparsity, but generalized hardware support is…

Hardware Architecture · Computer Science 2024-04-26 Gabriel Kulp , Andrew Ensinger , Lizhong Chen

The importance of general matrix multiplication (GEMM) is motivating new instruction set extensions for multiplying dense matrices in almost all contemporary ISAs, and these extensions are often implemented using high-performance systolic…

Hardware Architecture · Computer Science 2025-02-18 Tuan Ta , Joshua Randall , Christopher Batten

Sparse matrix-vector multiplication (SpMV) is a crucial computing kernel with widespread applications in iterative algorithms. Over the past decades, research on SpMV optimization has made remarkable strides, giving rise to various…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-04-10 Jianhua Gao , Bingjie Liu , Weixing Ji , Hua Huang

Recent years have seen considerable work on compiling sparse tensor algebra expressions. This paper addresses a shortcoming in that work, namely how to generate efficient code (in time and space) that scatters values into a sparse result…

Programming Languages · Computer Science 2024-04-09 Genghan Zhang , Olivia Hsu , Fredrik Kjolstad

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

Tensor parallelism is an essential technique for distributed training of large neural networks. However, automatically determining an optimal tensor parallel strategy is challenging due to the gigantic search space, which grows…

Machine Learning · Computer Science 2025-08-06 Ziji Shi , Le Jiang , Ang Wang , Jie Zhang , Chencan Wu , Yong Li , Xiaokui Xiao , Wei Lin , Jialin Li

Tensor algebra is a crucial component for data-intensive workloads such as machine learning and scientific computing. As the complexity of data grows, scientists often encounter a dilemma between the highly specialized dense tensor algebra…

Programming Languages · Computer Science 2024-07-19 Mahdi Ghorbani , Emilien Bauer , Tobias Grosser , Amir Shaikhha

Sparse coding--that is, modelling data vectors as sparse linear combinations of basis elements--is widely used in machine learning, neuroscience, signal processing, and statistics. This paper focuses on the large-scale matrix factorization…

Machine Learning · Statistics 2010-02-11 Julien Mairal , Francis Bach , Jean Ponce , Guillermo Sapiro

Predicting the behavior of complex systems is critical in many scientific and engineering domains, and hinges on the model's ability to capture their underlying dynamics. Existing methods encode the intrinsic dynamics of high-dimensional…

Computational Engineering, Finance, and Science · Computer Science 2025-11-18 Jingwen Cheng , Ruikun Li , Huandong Wang , Yong Li

Sparse matrix ordering is a vital optimization technique often employed for solving large-scale sparse matrices. Its goal is to minimize the matrix bandwidth by reorganizing its rows and columns, thus enhancing efficiency. Conventional…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-14 Tao Tang , Youfu Jiang , Yingbo Cui , Jianbin Fang , Peng Zhang , Lin Peng , Chun Huang

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…

Neural and Evolutionary Computing · Computer Science 2019-01-29 Shiwei Liu , Decebal Constantin Mocanu , Mykola Pechenizkiy

Sparse Matrix-matrix Multiplication (SpMM) and Sampled Dense-dense Matrix Multiplication (SDDMM) are important sparse operators in scientific computing and deep learning. Tensor Core Units (TCUs) enhance modern accelerators with superior…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-12-17 Jinliang Shi , Shigang Li , Youxuan Xu , Rongtian Fu , Xueying Wang , Tong Wu

Evolutionary computing, particularly genetic algorithm (GA), is a combinatorial optimization method inspired by natural selection and the transmission of genetic information, which is widely used to identify optimal solutions to complex…

Neural and Evolutionary Computing · Computer Science 2024-12-31 Shanqing Yu , Meng Zhou , Jintao Zhou , Minghao Zhao , Yidan Song , Yao Lu , Zeyu Wang , Qi Xuan