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Tensor algebra is essential for data-intensive workloads in various computational domains. Computational scientists face a trade-off between the specialization degree provided by dense tensor algebra and the algorithmic efficiency that…

编程语言 · 计算机科学 2022-11-22 Mahdi Ghorbani , Mathieu Huot , Shideh Hashemian , Amir Shaikhha

Many real-world datasets are represented as tensors, i.e., multi-dimensional arrays of numerical values. Storing them without compression often requires substantial space, which grows exponentially with the order. While many tensor…

机器学习 · 计算机科学 2023-09-21 Taehyung Kwon , Jihoon Ko , Jinhong Jung , Kijung Shin

This paper shows how to generate code that efficiently converts sparse tensors between disparate storage formats (data layouts) such as CSR, DIA, ELL, and many others. We decompose sparse tensor conversion into three logical phases:…

数学软件 · 计算机科学 2020-07-01 Stephen Chou , Fredrik Kjolstad , Saman Amarasinghe

Deep learning emerges as an important new resource-intensive workload and has been successfully applied in computer vision, speech, natural language processing, and so on. Distributed deep learning is becoming a necessity to cope with…

分布式、并行与集群计算 · 计算机科学 2018-05-23 Jilong Xue , Youshan Miao , Cheng Chen , Ming Wu , Lintao Zhang , Lidong Zhou

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…

编程语言 · 计算机科学 2022-05-25 Adhitha Dias , Kirshanthan Sundararajah , Charitha Saumya , Milind Kulkarni

Sparse tensors appear in many large-scale applications with multidimensional and sparse data. While multidimensional sparse data often need to be processed on manycore processors, attempts to develop highly-optimized GPU-based…

数学软件 · 计算机科学 2017-12-18 Bangtian Liu , Chengyao Wen , Anand D. Sarwate , Maryam Mehri Dehnavi

The NVIDIA Volta GPU microarchitecture introduces a specialized unit, called "Tensor Core" that performs one matrix-multiply-and-accumulate on 4x4 matrices per clock cycle. The NVIDIA Tesla V100 accelerator, featuring the Volta…

分布式、并行与集群计算 · 计算机科学 2018-12-18 Stefano Markidis , Steven Wei Der Chien , Erwin Laure , Ivy Bo Peng , Jeffrey S. Vetter

Convolution is one of the fundamental operations of deep neural networks with demanding matrix computation. In a graphic processing unit (GPU), Tensor Core is a specialized matrix processing hardware equipped with reduced-precision…

机器学习 · 计算机科学 2022-02-25 Junkyeong Choi , Hyucksung Kwon , Woongkyu Lee , Jungwook Choi , Jieun Lim

High-performance tensor programs are crucial to guarantee efficient execution of deep neural networks. However, obtaining performant tensor programs for different operators on various hardware platforms is notoriously challenging.…

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…

数值分析 · 计算机科学 2014-12-30 Guoxu Zhou , Andrzej Cichocki , Shengli Xie

Training modern deep learning models is increasingly constrained by GPU memory and compute limits. While Randomized Numerical Linear Algebra (RandNLA) offers proven techniques to compress these models, the lack of a unified,…

机器学习 · 计算机科学 2026-01-23 Fahd Seddik , Abdulrahman Elbedewy , Gaser Sami , Mohamed Abdelmoniem , Yahia Zakaria

A commonly occurring computation idiom in neural networks is to perform some pointwise operations on the result of a matrix multiplication. Such a sequence of operations is typically represented as a computation graph in deep learning…

编程语言 · 计算机科学 2020-08-04 Somashekaracharya G. Bhaskaracharya , Julien Demouth , Vinod Grover

Tensor methods have become a promising tool to solve high-dimensional problems in the big data era. By exploiting possible low-rank tensor factorization, many high-dimensional model-based or data-driven problems can be solved to facilitate…

最优化与控制 · 数学 2019-08-22 Chunfeng Cui , Cole Hawkins , Zheng Zhang

FPGAs are well-suited for dataflow architectures that process data in a streaming or pipelined manner, thus satisfying the high computational and communication demands of emerging applications. However, manually implementing an efficient…

硬件体系结构 · 计算机科学 2026-04-15 Weichuang Zhang , Yiquan Wang , Xinzhou Zhang , Chi Zhang , Yu Feng , Xiaofeng Hou , Chao Li , Jieru Zhao , Minyi Guo

Deep learning models hold state of the art performance in many fields, yet their design is still based on heuristics or grid search methods that often result in overparametrized networks. This work proposes a method to analyze a trained…

计算机视觉与模式识别 · 计算机科学 2020-01-13 Isha Garg , Priyadarshini Panda , Kaushik Roy

Feature extraction for tensor data serves as an important step in many tasks such as anomaly detection, process monitoring, image classification, and quality control. Although many methods have been proposed for tensor feature extraction,…

机器学习 · 计算机科学 2021-06-01 Yinan Wang , Weihong "Grace" Guo , Xiaowei Yue

We introduce a learning-based framework to optimize tensor programs for deep learning workloads. Efficient implementations of tensor operators, such as matrix multiplication and high dimensional convolution, are key enablers of effective…

Despite the recent success of deep learning models in numerous applications, their widespread use on mobile devices is seriously impeded by storage and computational requirements. In this paper, we propose a novel network compression method…

计算机视觉与模式识别 · 计算机科学 2019-06-19 Zhisheng Zhong , Fangyin Wei , Zhouchen Lin , Chao Zhang

Traditional tensor decomposition methods, e.g., two dimensional principal component analysis and two dimensional singular value decomposition, that minimize mean square errors, are sensitive to outliers. To overcome this problem, in this…

计算机视觉与模式识别 · 计算机科学 2020-12-30 Miaohua Zhang , Yongsheng Gao , Changming Sun , Michael Blumenstein

An increasing number of data science and machine learning problems rely on computation with tensors, which better capture the multi-way relationships and interactions of data than matrices. When tapping into this critical advantage, a key…

机器学习 · 统计学 2023-02-23 Harry Dong , Tian Tong , Cong Ma , Yuejie Chi