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Sparse tensor decomposition and completion are common in numerous applications, ranging from machine learning to computational quantum chemistry. Typically, the main bottleneck in optimization of these models are contractions of a single…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-17 Raghavendra Kanakagiri , Edgar Solomonik

Despite significant investment in software infrastructure, machine learning systems, runtimes and compilers do not compose properly. We propose a new design aiming at providing unprecedented degrees of modularity, composability and…

Producing large complex simulation datasets can often be a time and resource consuming task. Especially when these experiments are very expensive, it is becoming more reasonable to generate synthetic data for downstream tasks. Recently,…

Machine Learning · Computer Science 2025-08-28 Paimon Goulart , Shaan Pakala , Evangelos Papalexakis

Recently, there has been growing interest in the analysis of spectrograms of ElectroEncephaloGram (EEG), particularly to study the neural correlates of (un)-consciousness during General Anesthesia (GA). Indeed, it has been shown that order…

Machine Learning · Computer Science 2020-07-13 Pierre Humbert , Laurent Oudre , Nivolas Vayatis , Julien Audiffren

Optimizing compilers are mainly equipped to optimize control flow. The optimization of data structures is left to the programmer and it is the programmer's responsibility to design the data structures to suit the target hardware. Very…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-15 K. F. D. Rietveld , H. A. G. Wijshoff

Deploying deep learning models on various devices has become an important topic. The wave of hardware specialization brings a diverse set of acceleration primitives for multi-dimensional tensor computations. These new acceleration…

Machine Learning · Computer Science 2022-10-31 Siyuan Feng , Bohan Hou , Hongyi Jin , Wuwei Lin , Junru Shao , Ruihang Lai , Zihao Ye , Lianmin Zheng , Cody Hao Yu , Yong Yu , Tianqi Chen

Over the past few years, the explosion in sparse tensor algebra workloads has led to a corresponding rise in domain-specific accelerators to service them. Due to the irregularity present in sparse tensors, these accelerators employ a wide…

Hardware Architecture · Computer Science 2024-06-13 Nandeeka Nayak , Toluwanimi O. Odemuyiwa , Shubham Ugare , Christopher W. Fletcher , Michael Pellauer , Joel S. Emer

When implementing functionality which requires sparse matrices, there are numerous storage formats to choose from, each with advantages and disadvantages. To achieve good performance, several formats may need to be used in one program,…

Mathematical Software · Computer Science 2019-10-22 Conrad Sanderson , Ryan Curtin

Sparse linear algebra is crucial in many application domains, but challenging to handle efficiently in both software and hardware, with one- and two-sided operand sparsity handled with distinct approaches. In this work, we enhance an…

Hardware Architecture · Computer Science 2023-10-03 Paul Scheffler , Florian Zaruba , Fabian Schuiki , Torsten Hoefler , Luca Benini

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 tensor algebra is a challenging class of workloads to accelerate due to low arithmetic intensity and varying sparsity patterns. Prior sparse tensor algebra accelerators have explored tiling sparse data to increase exploitable data…

Hardware Architecture · Computer Science 2024-06-27 Zi Yu Xue , Yannan Nellie Wu , Joel S. Emer , Vivienne Sze

We begin by presenting a simple lossy compressor operating at near-zero rate: The encoder merely describes the indices of the few maximal source components, while the decoder's reconstruction is a natural estimate of the source components…

Information Theory · Computer Science 2016-03-09 Albert No , Tsachy Weissman

Tensor contractions are ubiquitous in computational chemistry and physics, where tensors generally represent states or operators and contractions express the algebra of these quantities. In this context, the states and operators often…

Computational Physics · Physics 2022-09-27 Yang Gao , Phillip Helms , Garnet Kin-Lic Chan , Edgar Solomonik

Tuning tensor program generation involves searching for various possible program transformation combinations for a given program on target hardware to optimize the tensor program execution. It is already a complex process because of the…

Programming Languages · Computer Science 2023-12-29 Gaurav Verma , Siddhisanket Raskar , Zhen Xie , Abid M Malik , Murali Emani , Barbara Chapman

This short paper describes a simple coding technique, Sparse Sequential Dirichlet Coding, for multi-alphabet memoryless sources. It is appropriate in situations where only a small, unknown subset of the possible alphabet symbols can be…

Information Theory · Computer Science 2012-06-19 Joel Veness , Marcus Hutter

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

We define and discuss the first sparse coding algorithm based on closed-form EM updates and continuous latent variables. The underlying generative model consists of a standard `spike-and-slab' prior and a Gaussian noise model. Closed-form…

Machine Learning · Statistics 2012-03-05 Jörg Lücke , Abdul-Saboor Sheikh

Erasure coding (EC) affords data redundancy for large-scale systems. XOR-based EC is an easy-to-implement method for optimizing EC. This paper addresses a significant performance gap between the state-of-the-art XOR-based EC approach (with…

Programming Languages · Computer Science 2021-08-06 Yuya Uezato

The problem of partitioning a large and sparse tensor is considered, where the tensor consists of a sequence of adjacency matrices. Theory is developed that is a generalization of spectral graph partitioning. A best rank-$(2,2,\lambda)$…

Numerical Analysis · Mathematics 2020-12-17 Lars Eldén , Maryam Dehghan

In this paper we study the problem of storing reliably an archive of versioned data. Specifically, we focus on systems where the differences (deltas) between subsequent versions rather than the whole objects are stored - a typical model for…

Information Theory · Computer Science 2014-11-19 J. Harshan , Frédérique Oggier , Anwitaman Datta
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