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The challenge of mapping AI architectures to GPU hardware is creating a critical bottleneck in AI progress. Despite substantial efforts, hand-written custom kernels fail to meet their theoretical performance thresholds, even on…

Machine Learning · Computer Science 2024-10-29 Benjamin F. Spector , Simran Arora , Aaryan Singhal , Daniel Y. Fu , Christopher Ré

The application of Gaussian processes (GPs) to large data sets is limited due to heavy memory and computational requirements. A variety of methods has been proposed to enable scalability, one of which is to exploit structure in the kernel…

Machine Learning · Computer Science 2019-12-30 Jan Graßhoff , Alexandra Jankowski , Philipp Rostalski

Modern neural network architectures use structured linear transformations, such as low-rank matrices, sparse matrices, permutations, and the Fourier transform, to improve inference speed and reduce memory usage compared to general linear…

Machine Learning · Computer Science 2021-01-06 Tri Dao , Nimit S. Sohoni , Albert Gu , Matthew Eichhorn , Amit Blonder , Megan Leszczynski , Atri Rudra , Christopher Ré

Dense linear layers are the dominant computational bottleneck in foundation models. Identifying more efficient alternatives to dense matrices has enormous potential for building more compute-efficient models, as exemplified by the success…

Machine Learning · Computer Science 2024-06-11 Shikai Qiu , Andres Potapczynski , Marc Finzi , Micah Goldblum , Andrew Gordon Wilson

Sparse matrix-vector and matrix-matrix multiplication (SpMV and SpMM) are fundamental in both conventional (graph analytics, scientific computing) and emerging (sparse DNN, GNN) domains. Workload-balancing and parallel-reduction are…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-15 Guyue Huang , Guohao Dai , Yu Wang , Yufei Ding , Yuan Xie

Growing deployment of power and energy efficient throughput accelerators (GPU) in data centers demands enhancement of power-performance co-optimization capabilities of GPUs. Realization of exascale computing using accelerators requires…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-11-06 Nilanjan Goswami , Amer Qouneh , Chao Li , Tao Li

Overparameterized neural networks generalize well but are expensive to train. Ideally, one would like to reduce their computational cost while retaining their generalization benefits. Sparse model training is a simple and promising approach…

Machine Learning · Computer Science 2022-05-12 Tri Dao , Beidi Chen , Kaizhao Liang , Jiaming Yang , Zhao Song , Atri Rudra , Christopher Ré

The Kernel Polynomial Method (KPM) is a well-established scheme in quantum physics and quantum chemistry to determine the eigenvalue density and spectral properties of large sparse matrices. In this work we demonstrate the high optimization…

Computational Engineering, Finance, and Science · Computer Science 2015-07-30 Moritz Kreutzer , Georg Hager , Gerhard Wellein , Andreas Pieper , Andreas Alvermann , Holger Fehske

Deep learning on point clouds has received increased attention thanks to its wide applications in AR/VR and autonomous driving. These applications require low latency and high accuracy to provide real-time user experience and ensure user…

Machine Learning · Computer Science 2022-04-22 Haotian Tang , Zhijian Liu , Xiuyu Li , Yujun Lin , Song Han

With the fast growth of parameter size, it becomes increasingly challenging to deploy large generative models as they typically require large GPU memory consumption and massive computation. Unstructured model pruning has been a common…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-09-20 Haojun Xia , Zhen Zheng , Yuchao Li , Donglin Zhuang , Zhongzhu Zhou , Xiafei Qiu , Yong Li , Wei Lin , Shuaiwen Leon Song

Distributed training with synchronous stochastic gradient descent (SGD) on GPU clusters has been widely used to accelerate the training process of deep models. However, SGD only utilizes the first-order gradient in model parameter updates,…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-15 Shaohuai Shi , Lin Zhang , Bo Li

We present a novel, practical approach to speed up sparse matrix-vector multiplication (SpMVM) on GPUs. The novel key idea is to apply lossless entropy coding to further compress the sparse matrix when stored in one of the commonly…

Performance · Computer Science 2026-03-03 Emil Schätzle , Tommaso Pegolotti , Markus Püschel

Graphics Processing Units allow for running massively parallel applications offloading the CPU from computationally intensive resources, however GPUs have a limited amount of memory. In this paper a trie compression algorithm for massively…

Data Structures and Algorithms · Computer Science 2017-02-20 Xavier Bellekens , Amar Seeam , Christos Tachtatzis , Robert Atkinson

Sparse attention is a core building block in many leading neural network models, from graph-structured learning to sparse sequence modeling. It can be decomposed into a sequence of three sparse matrix operations (3S): sampled dense-dense…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-05-14 Zitong Li , Aparna Chandramowlishwaran

The emergence of Next Generation Sequencing (NGS) platforms has increased the throughput of genomic sequencing and in turn the amount of data that needs to be processed, requiring highly efficient computation for its analysis. In this…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-12-12 Nicola Cadenelli , Jorda Polo , David Carrera

This paper introduces the sparse periodic systolic (SPS) dataflow, which advances the state-of-the-art hardware accelerator for supporting lightweight neural networks. Specifically, the SPS dataflow enables a novel hardware design approach…

Computer Vision and Pattern Recognition · Computer Science 2022-07-04 Jung Hwan Heo , Arash Fayyazi , Amirhossein Esmaili , Massoud Pedram

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

We present a new paradigm for speeding up randomized computations of several frequently used functions in machine learning. In particular, our paradigm can be applied for improving computations of kernels based on random embeddings. Above…

Machine Learning · Statistics 2016-04-26 Krzysztof Choromanski , Francois Fagan

Generalized sparse matrix-matrix multiplication (or SpGEMM) is a key primitive for many high performance graph algorithms as well as for some linear solvers, such as algebraic multigrid. Here we show that SpGEMM also yields efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-03-19 Aydin Buluc , John Gilbert

Large language models (LLMs) have transformed artificial intelligence, but their computational requirements remain prohibitive for most users. Standard inference demands expensive datacenter GPUs or cloud API access, leaving over one…

Computation and Language · Computer Science 2026-05-08 Nii Osae Osae Dade , Tony Morri , Moinul Hossain Rahat , Sayandip Pal