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We address the problem of optimizing mixed sparse and dense tensor algebra in a compiler. We show that standard loop transformations, such as strip-mining, tiling, collapsing, parallelization and vectorization, can be applied to irregular…

Mathematical Software · Computer Science 2020-01-03 Ryan Senanayake , Fredrik Kjolstad , Changwan Hong , Shoaib Kamil , Saman Amarasinghe

Large language models (LLMs) have demonstrated exceptional proficiency in understanding and generating human language, but efficient inference on resource-constrained embedded devices remains challenging due to large model sizes and…

Hardware Architecture · Computer Science 2025-07-15 Weihong Xu , Haein Choi , Po-kai Hsu , Shimeng Yu , Tajana Rosing

Scientific computing requires handling large linear models, which are often composed of structured matrices. With increasing model size, dense representations quickly become infeasible to compute or store. Matrix-free implementations are…

Mathematical Software · Computer Science 2021-11-30 Christoph Wilfried Wagner , Sebastian Semper , Jan Kirchhof

This work addresses the problem of learning sparse representations of tensor data using structured dictionary learning. It proposes learning a mixture of separable dictionaries to better capture the structure of tensor data by generalizing…

Machine Learning · Computer Science 2020-06-16 Mohsen Ghassemi , Zahra Shakeri , Anand D. Sarwate , Waheed U. Bajwa

A novel language system has given rise to promising alternatives to standard formal and processor network models of computation. An interstring linked with a abstract machine environment, shares sub-expressions, transfers data, and…

Programming Languages · Computer Science 2010-07-30 Alexander Victor Berka

The structures for the expression of fault-tolerance provisions into the application software are the central topic of this dissertation. Structuring techniques provide means to control complexity, the latter being a relevant factor for the…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-11-08 Vincenzo De Florio

Symmetric tensor operations arise in a wide variety of computations. However, the benefits of exploiting symmetry in order to reduce storage and computation is in conflict with a desire to simplify memory access patterns. In this paper, we…

Numerical Analysis · Mathematics 2014-10-21 Martin D. Schatz , Tze Meng Low , Robert A. van de Geijn , Tamara G. Kolda

We present a framework to define a large class of neural networks for which, by construction, training by gradient flow provably reaches arbitrarily low loss when the number of parameters grows. Distinct from the fixed-space global…

Optimization and Control · Mathematics 2025-01-13 David A. R. Robin , Kevin Scaman , Marc Lelarge

Structured sparse coding and the related structured dictionary learning problems are novel research areas in machine learning. In this paper we present a new application of structured dictionary learning for collaborative filtering based…

Optimization and Control · Mathematics 2012-03-08 Zoltan Szabo , Barnabas Poczos , Andras Lorincz

Convolutional Neural Networks have rapidly become the most successful machine learning algorithm, enabling ubiquitous machine vision and intelligent decisions on even embedded computing-systems. While the underlying arithmetic is…

Hardware Architecture · Computer Science 2018-09-13 Michaela Blott , Thomas Preusser , Nicholas Fraser , Giulio Gambardella , Kenneth O'Brien , Yaman Umuroglu

ParaSail is a language specifically designed to simplify the construction of programs that make full, safe use of parallel hardware even while manipulating potentially irregular data structures. As parallel hardware has proliferated, there…

Programming Languages · Computer Science 2019-02-05 S. Tucker Taft

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

Coarse Grained Reconfigurable Arrays (CGRAs) present both high flexibility and efficiency, making them well-suited for the acceleration of intensive workloads. Nevertheless, a key barrier towards their widespread adoption is posed by CGRA…

Software Engineering · Computer Science 2025-09-22 Yuxuan Wang , Cristian Tirelli , Giovanni Ansaloni , Laura Pozzi , David Atienza

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

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

The progression of scientific computing resources has enabled the numerical approximation of mathematical models describing complex physical phenomena. A significant portion of researcher time is typically dedicated to the development of…

Mathematical Software · Computer Science 2015-06-22 Paul T. Bauman , Roy H. Stogner

This paper describes our experiences creating Tornado: a practical and efficient heterogeneous programming framework for managed languages. The novel aspect of Tornado is that it turns the programming of heterogeneous systems from an…

Programming Languages · Computer Science 2018-03-02 James Clarkson , Christos Kotselidis

Neural information retrieval architectures based on transformers such as BERT are able to significantly improve system effectiveness over traditional sparse models such as BM25. Though highly effective, these neural approaches are very…

Information Retrieval · Computer Science 2022-04-26 Antonio Mallia , Joel Mackenzie , Torsten Suel , Nicola Tonellotto

In this paper, we develop software for decomposing sparse tensors that is portable to and performant on a variety of multicore, manycore, and GPU computing architectures. The result is a single code whose performance matches optimized…

Mathematical Software · Computer Science 2019-07-30 Eric Phipps , Tamara G. Kolda

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