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We combine the capacity of sparsely gated Mixture-of-Experts (MoE) with the speed and stability of linear, mixing transformations to design the Sparse Mixer encoder model. Sparse Mixer slightly outperforms (<1%) BERT on GLUE and SuperGLUE,…

Machine Learning · Computer Science 2022-10-14 James Lee-Thorp , Joshua Ainslie

We recently showed in [1] the superiority of certain structured coding matrices ensembles (such as partial row-orthogonal) for sparse superposition codes when compared with purely random matrices with i.i.d. entries, both…

Information Theory · Computer Science 2022-07-12 YuHao Liu , Teng Fu , Jean Barbier , TianQi Hou

In several applications, input samples are more naturally represented in terms of similarities between each other, rather than in terms of feature vectors. In these settings, machine-learning algorithms can become very computationally…

Computer Vision and Pattern Recognition · Computer Science 2017-12-19 Ambra Demontis , Marco Melis , Battista Biggio , Giorgio Fumera , Fabio Roli

We present LoopStack, a domain specific compiler stack for tensor operations, composed of a frontend, LoopTool, and an efficient optimizing code generator, LoopNest. This stack enables us to compile entire neural networks and generate code…

Machine Learning · Computer Science 2022-05-03 Bram Wasti , José Pablo Cambronero , Benoit Steiner , Hugh Leather , Aleksandar Zlateski

We implement two novel algorithms for sparse-matrix dense-matrix multiplication (SpMM) on the GPU. Our algorithms expect the sparse input in the popular compressed-sparse-row (CSR) format and thus do not require expensive format conversion.…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-06-13 Carl Yang , Aydin Buluc , John D. Owens

Scaling autoregressive large language models (LLMs) has driven unprecedented progress but comes with vast computational costs. In this work, we tackle these costs by leveraging unstructured sparsity within an LLM's feedforward layers, the…

Machine Learning · Computer Science 2026-05-11 Edoardo Cetin , Stefano Peluchetti , Emilio Castillo , Akira Naruse , Mana Murakami , Llion Jones

Sparse matrices and tensors are ubiquitous throughout multiple subfields of computing. The widespread usage of sparse data has inspired many in-memory and on-disk storage formats, but the only widely adopted storage specifications are the…

Mathematical Software · Computer Science 2025-06-25 Benjamin Brock , Willow Ahrens , Hameer Abbasi , Timothy A. Davis , Juni Kim , James Kitchen , Spencer Patty , Isaac Virshup , Erik Welch

Mixture of Experts (MoE) has become a mainstream architecture for building Large Language Models (LLMs) by reducing per-token computation while enabling model scaling. It can be viewed as partitioning a large Feed-Forward Network (FFN) at…

Machine Learning · Computer Science 2025-08-27 Weilin Cai , Le Qin , Shwai He , Junwei Cui , Ang Li , Jiayi Huang

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

In many sequence learning tasks, such as program synthesis and document summarization, a key problem is searching over a large space of possible output sequences. We propose to learn representations of the outputs that are specifically…

Machine Learning · Computer Science 2021-08-09 Joey Hong , David Dohan , Rishabh Singh , Charles Sutton , Manzil Zaheer

Sparse Matrix-Matrix Multiplication (SpMM) is a fundamental kernel across scientific computing and machine learning. While prior work accelerates SpMM using Tensor Cores, no existing sparse kernel exploits the asynchronous features of…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-04-21 Jie Liu , Huanzhi Pu , Zhiru Zhang

Sparse matrix computation is crucial in various modern applications, including large-scale graph analytics, deep learning, and recommender systems. The performance of sparse kernels varies greatly depending on the structure of the input…

Hardware Architecture · Computer Science 2024-07-31 Francesco Sgherzi , Marco Siracusa , Ivan Fernandez , Adrià Armejach , Miquel Moretó

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

Sparse tensor programs are essential in deep learning and graph analytics, driving the need for optimized processing. To meet this demand, specialized hardware accelerators are being developed. Optimizing these programs for accelerators is…

Machine Learning · Computer Science 2025-06-17 Chamika Sudusinghe , Gerasimos Gerogiannis , Damitha Lenadora , Charles Block , Josep Torrellas , Charith Mendis

Efficient tensor computation is a cornerstone of modern deep learning (DL) workloads, yet existing approaches struggle to achieve flexible and performant design and implementation of tensor layouts -- mappings between logical tensors and…

This article presents a new method to compute matrices from numerical simulations based on the ideas of sparse sampling and compressed sensing. The method is useful for problems where the determination of the entries of a matrix constitutes…

Chemical Physics · Physics 2014-10-21 Jacob N. Sanders , Xavier Andrade , Alán Aspuru-Guzik

Spreading the information over all coefficients of a representation is a desirable property in many applications such as digital communication or machine learning. This so-called antisparse representation can be obtained by solving a convex…

Machine Learning · Computer Science 2020-07-15 Clément Elvira , Cédric Herzet

We study a new class of codes for Gaussian multi-terminal source and channel coding. These codes are designed using the statistical framework of high-dimensional linear regression and are called Sparse Superposition or Sparse Regression…

Information Theory · Computer Science 2012-12-11 Ramji Venkataramanan , Sekhar Tatikonda

Sparse linear algebra is central to many scientific programs, yet compilers fail to optimize it well. High-performance libraries are available, but adoption costs are significant. Moreover, libraries tie programs into vendor-specific…

Performance · Computer Science 2020-01-29 Philip Ginsbach , Bruce Collie , Michael F. P. O'Boyle

High-level synthesis, source-to-source compilers, and various Design Space Exploration techniques for pragma insertion have significantly improved the Quality of Results of generated designs. These tools offer benefits such as reduced…

Software Engineering · Computer Science 2025-03-04 Stéphane Pouget , Louis-Noël Pouchet , Jason Cong