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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

Sparse tensor algebra computations have become important in many real-world applications like machine learning, scientific simulations, and data mining. Hence, automated code generation and performance optimizations for tensor algebra…

Programming Languages · Computer Science 2022-05-25 Adhitha Dias , Kirshanthan Sundararajah , Charitha Saumya , Milind Kulkarni

In scientific fields such as quantum computing, physics, chemistry, and machine learning, high dimensional data are typically represented using sparse tensors. Tensor contraction is a popular operation on tensors to exploit meaning or alter…

Data Structures and Algorithms · Computer Science 2024-10-15 Andrew Ensinger , Gabriel Kulp , Victor Agostinelli , Dennis Lyakhov , Lizhong Chen

We present the multi-layer extension of the Sparse Ternary Codes (STC) for fast similarity search where we focus on the reconstruction of the database vectors from the ternary codes. To consider the trade-offs between the compactness of the…

Computer Vision and Pattern Recognition · Computer Science 2017-11-01 Sohrab Ferdowsi , Slava Voloshynovskiy , Dimche Kostadinov

Recommendation systems, social network analysis, medical imaging, and data mining often involve processing sparse high-dimensional data. Such high-dimensional data are naturally represented as tensors, and they cannot be efficiently…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-22 Weiyun Jiang , Kaiqi Zhang , Colin Yu Lin , Feng Xing , Zheng Zhang

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

Tensor algebra is widely used in many applications, such as scientific computing, machine learning, and data analytics. The tensors represented real-world data are usually large and sparse. There are tens of storage formats designed for…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-02-11 Ruiqin Tian , Luanzheng Guo , Jiajia Li , Bin Ren , Gokcen Kestor

Ensuring the correctness of compiler optimizations is critical, but existing fuzzers struggle to test optimizations effectively. First, most fuzzers use optimization pipelines (heuristics-based, fixed sequences of passes) as their harness.…

Software Engineering · Computer Science 2025-12-05 Zitong Zhou , Ben Limpanukorn , Hong Jin Kang , Jiyuan Wang , Yaoxuan Wu , Akos Kiss , Renata Hodovan , Miryung Kim

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

We propose a strategy to compress and store large volumes of scientific data represented on unstructured grids. Approaches utilizing tensor decompositions for data compression have already been proposed. Here, data on a structured grid is…

Numerical Analysis · Mathematics 2024-09-23 Prashant Rai , Hemanth Kolla , Lewis Cannada , Alex Gorodetsky

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 sparse modeling as a promising approach, in the whole of science and engineering has been a huge success. As is known to all, various data in practical application are often generated by multiple factors, so the use of tensors to…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Hongbing Zhang , Xinyi Liu , Hongtao Fan , Yajing Li , Yinlin Ye

Fuzzing has become one of the most popular techniques to identify bugs in software. To improve the fuzzing process, a plethora of techniques have recently appeared in academic literature. However, evaluating and comparing these techniques…

Cryptography and Security · Computer Science 2021-08-17 David Paaßen , Sebastian Surminski , Michael Rodler , Lucas Davi

Large language models (LLMs) have demonstrated remarkable capabilities across diverse tasks. However, the truthfulness of their outputs is not guaranteed, and their tendency toward overconfidence further limits reliability. Uncertainty…

Computation and Language · Computer Science 2026-03-23 Qi Cao , Andrew Gambardella , Takeshi Kojima , Yutaka Matsuo , Yusuke Iwasawa

Tensor computations present significant performance challenges that impact a wide spectrum of applications ranging from machine learning, healthcare analytics, social network analysis, data mining to quantum chemistry and signal processing.…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-01-06 Jiajia Li , Mahesh Lakshminarasimhan , Xiaolong Wu , Ang Li , Catherine Olschanowsky , Kevin Barker

Researchers are increasingly incorporating numeric high-order data, i.e., numeric tensors, within their practice. Just like the matrix/vector (MV) paradigm, the development of multi-purpose, but high-performance, sparse data structures and…

Mathematical Software · Computer Science 2018-02-09 Adam P. Harrison , Dileepan Joseph

In this paper, we study the sparse nonnegative tensor factorization and completion problem from partial and noisy observations for third-order tensors. Because of sparsity and nonnegativity, the underlying tensor is decomposed into the…

Machine Learning · Statistics 2021-10-22 Xiongjun Zhang , Michael K. Ng

In the past decade, Deep Learning (DL) systems have been widely deployed in various domains to facilitate our daily life. Meanwhile, it is extremely challenging to ensure the correctness of DL systems (e.g., due to their intrinsic…

Software Engineering · Computer Science 2022-02-22 Jiawei Liu , Yuxiang Wei , Sen Yang , Yinlin Deng , Lingming Zhang

Sparse tensors are prevalent in many data-intensive applications, yet existing differentiable programming frameworks are tailored towards dense tensors. This presents a significant challenge for efficiently computing gradients through…

Programming Languages · Computer Science 2023-03-14 Amir Shaikhha , Mathieu Huot , Shideh Hashemian

Tensor decomposition is a powerful tool for extracting physically meaningful latent factors from multi-dimensional nonnegative data, and has been an increasing interest in a variety of fields such as image processing, machine learning, and…

Machine Learning · Computer Science 2024-12-03 Xiongjun Zhang , Michael K. Ng