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Contemporary Deep Neural Network (DNN) contains millions of synaptic connections with tens to hundreds of layers. The large computation and memory requirements pose a challenge to the hardware design. In this work, we leverage the intrinsic…

Machine Learning · Computer Science 2017-11-07 Jingyang Zhu , Jingbo Jiang , Xizi Chen , Chi-Ying Tsui

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:…

Mathematical Software · Computer Science 2020-07-01 Stephen Chou , Fredrik Kjolstad , Saman Amarasinghe

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

Sparse tensor algebra is challenging to efficiently parallelize due to the irregular, data-dependent, and potentially skewed structure of sparse computation. We propose the first partitioning algorithm that provably load balances the…

Programming Languages · Computer Science 2026-04-23 Atharva Chougule , Alexander J Root , Rubens Lacouture , Bobby Yan , Rohan Yadav , Fredrik Kjolstad

The uninterpretability of DNNs has led to the adoption of abstract interpretation-based certification as a practical means to establish trust in real-world systems that rely on DNNs. However, the current landscape supports only a limited…

Computation and Language · Computer Science 2025-07-29 Avaljot Singh , Yamin Chandini Sarita , Aditya Mishra , Ishaan Goyal , Gagandeep Singh , Charith Mendis

Sparse data structures are commonly used in neural networks to reduce the memory footprint. These data structures are compact but cause irregularities such as random memory accesses, which prevent efficient use of the memory hierarchy. GPUs…

Programming Languages · Computer Science 2025-06-19 Hossein Albakri , Kazem Cheshmi

With the rapid development of deep learning models and hardware support for dense computing, the deep learning workload characteristics changed significantly from a few hot spots on compute-intensive operations to a broad range of…

There is often variation in the shape and size of input data used for deep learning. In many cases, such data can be represented using tensors with non-uniform shapes, or ragged tensors. Due to limited and non-portable support for efficient…

Machine Learning · Computer Science 2022-03-23 Pratik Fegade , Tianqi Chen , Phillip B. Gibbons , Todd C. Mowry

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

Sparse tensors are prevalent in real-world applications, often characterized by their large-scale, high-order, and high-dimensional nature. Directly handling raw tensors is impractical due to the significant memory and computational…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-24 Zixuan Li , Mingxing Duan , Huizhang Luo , Wangdong Yang , Kenli Li , Keqin Li

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

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 sensor array selection arises in many engineering applications, where it is imperative to obtain maximum spatial resolution from a limited number of array elements. Recent research shows that computational complexity of array…

Signal Processing · Electrical Eng. & Systems 2020-06-03 Ahmet M. Elbir , Kumar Vijay Mishra

The rapid growth in the size of deep learning models strains the capabilities of traditional dense computation paradigms. Leveraging sparse computation has become increasingly popular for training and deploying large-scale models, but…

Machine Learning · Computer Science 2024-06-21 Bobby Yan , Alexander J. Root , Trevor Gale , David Broman , Fredrik Kjolstad

Network pruning can reduce the computation cost of deep neural network (DNN) models. However, sparse models often produce randomly-distributed weights to maintain accuracy, leading to irregular computations. Consequently, unstructured…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-02-19 Cong Guo , Fengchen Xue , Jingwen Leng , Yuxian Qiu , Yue Guan , Weihao Cui , Quan Chen , Minyi Guo

We introduce SpDISTAL, a compiler for sparse tensor algebra that targets distributed systems. SpDISTAL combines separate descriptions of tensor algebra expressions, sparse data structures, data distribution, and computation distribution.…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-29 Rohan Yadav , Alex Aiken , Fredrik Kjolstad

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 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…

Programming Languages · Computer Science 2022-11-22 Mahdi Ghorbani , Mathieu Huot , Shideh Hashemian , Amir Shaikhha

Network pruning can reduce the high computation cost of deep neural network (DNN) models. However, to maintain their accuracies, sparse models often carry randomly-distributed weights, leading to irregular computations. Consequently, sparse…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-01 Cong Guo , Bo Yang Hsueh , Jingwen Leng , Yuxian Qiu , Yue Guan , Zehuan Wang , Xiaoying Jia , Xipeng Li , Minyi Guo , Yuhao Zhu

As deep learning models scale, sparse computation and specialized dataflow hardware have emerged as powerful solutions to address efficiency. We propose FuseFlow, a compiler that converts sparse machine learning models written in PyTorch to…

Machine Learning · Computer Science 2026-01-27 Rubens Lacouture , Nathan Zhang , Ritvik Sharma , Marco Siracusa , Fredrik Kjolstad , Kunle Olukotun , Olivia Hsu