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High-dimensional data has become ubiquitous across the sciences but presents computational and statistical challenges. A common approach to addressing these challenges is through sparsity. In this paper, we introduce a new concept of…

Statistics Theory · Mathematics 2025-09-03 Ali Mohades , Johannes Lederer

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

Personalized recommendation systems leverage deep learning models and account for the majority of data center AI cycles. Their performance is dominated by memory-bound sparse embedding operations with unique irregular memory access patterns…

TensorDash is a hardware level technique for enabling data-parallel MAC units to take advantage of sparsity in their input operand streams. When used to compose a hardware accelerator for deep learning, TensorDash can speedup the training…

Hardware Architecture · Computer Science 2022-03-28 Mostafa Mahmoud , Isak Edo , Ali Hadi Zadeh , Omar Mohamed Awad , Gennady Pekhimenko , Jorge Albericio , Andreas Moshovos

Sparse matrices, more specifically SpGEMM kernels, are commonly found in a wide range of applications, spanning graph-based path-finding to machine learning algorithms (e.g., neural networks). A particular challenge in implementing SpGEMM…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-06-01 Kaustubh Shivdikar

Deep Neural Networks (DNNs) are widely applied across domains and have shown strong effectiveness. As DNN workloads increasingly run on CPUs, dedicated Matrix Processing Units (MPUs) and Matrix Instruction Set Architectures (ISAs) have been…

Hardware Architecture · Computer Science 2025-11-20 Xin Yang , Xin Fan , Zengshi Wang , Jun Han

To address the challenge of increasing network size, researchers have developed sparse models through network pruning. However, maintaining model accuracy while achieving significant speedups on general computing devices remains an open…

Artificial Intelligence · Computer Science 2023-10-31 Haitao Xu , Songwei Liu , Yuyang Xu , Shuai Wang , Jiashi Li , Chenqian Yan , Liangqiang Li , Lean Fu , Xin Pan , Fangmin Chen

Sparse matrix-vector multiplication (SpMV) is a fundamental operation with a wide range of applications in scientific computing and artificial intelligence. However, the large scale and sparsity of sparse matrix often make it a performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-15 Chen Yan , Boyu Diao , Hangda Liu , Zhulin An , Yongjun Xu

Generalized sparse matrix-matrix multiplication is a key primitive for many high performance graph algorithms as well as some linear solvers such as multigrid. We present the first parallel algorithms that achieve increasing speedups for an…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-09 Aydın Buluç , John R. Gilbert

Neural networks have proven to be extremely powerful tools for modern artificial intelligence applications, but computational and storage complexity remain limiting factors. This paper presents two compatible contributions towards reducing…

Machine Learning · Computer Science 2024-10-30 Sourya Dey , Kuan-Wen Huang , Peter A. Beerel , Keith M. Chugg

Mixed-precision quantization is a popular approach for compressing deep neural networks (DNNs). However, it is challenging to scale the performance efficiently with mixed-precision DNNs given the current FPGA architecture and conventional…

Hardware Architecture · Computer Science 2023-11-07 Yuzong Chen , Jordan Dotzel , Mohamed S. Abdelfattah

In this paper, we aim to introduce a new perspective when comparing highly parallelized algorithms on GPU: the energy consumption of the GPU. We give an analysis of the performance of linear algebra operations, including addition of…

Numerical Analysis · Mathematics 2021-12-22 Abal-Kassim Cheik Ahamed , Alban Desmaison , Frederic Magoules

Graph neural networks (GNNs) have seen extensive application in domains such as social networks, bioinformatics, and recommendation systems. However, the irregularity and sparsity of graph data challenge traditional computing methods, which…

Machine Learning · Computer Science 2025-02-25 Ka Wai Wu

Many artificial intelligence (AI) devices have been developed to accelerate the training and inference of neural networks models. The most common ones are the Graphics Processing Unit (GPU) and Tensor Processing Unit (TPU). They are highly…

Machine Learning · Computer Science 2022-10-25 xiangyang Ju , Yunsong Wang , Daniel Murnane , Nicholas Choma , Steven Farrell , Paolo Calafiura

Deep learning-based point cloud processing plays an important role in various vision tasks, such as autonomous driving, virtual reality (VR), and augmented reality (AR). The submanifold sparse convolutional network (SSCN) has been widely…

Signal Processing · Electrical Eng. & Systems 2022-10-17 Zilun Wang , Wendong Mao , Peixiang Yang , Zhongfeng Wang , Jun Lin

Larger deep learning models usually lead to higher model quality with an ever-increasing GPU memory footprint. Although tensor checkpointing techniques have been proposed to enable training under a restricted GPU memory budget, the input…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-09-07 Jianjin Liao , Mingzhen Li , Qingxiao Sun , Jiwei Hao , Fengwei Yu , Shengdong Chen , Ye Tao , Zicheng Zhang , Hailong Yang , Zhongzhi Luan , Depei Qian

We provide a new efficient version of the backpropagation algorithm, specialized to the case where the weights of the neural network being trained are sparse. Our algorithm is general, as it applies to arbitrary (unstructured) sparsity and…

Machine Learning · Computer Science 2023-02-10 Mahdi Nikdan , Tommaso Pegolotti , Eugenia Iofinova , Eldar Kurtic , Dan Alistarh

Registers are the fastest memory components within the GPU's complex memory hierarchy, accessed by names rather than addresses. They are managed entirely by the compiler through a process called register allocation, during which the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-01-28 Deniz Elbek , Kamer Kaya

Fast Fourier Transform (FFT) is an essential tool in scientific and engineering computation. The increasing demand for mixed-precision FFT has made it possible to utilize half-precision floating-point (FP16) arithmetic for faster speed and…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-04-26 Binrui Li , Shenggan Cheng , James Lin

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