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In this thesis we discuss machine learning methods performing automated variable selection for learning sparse predictive models. There are multiple reasons for promoting sparsity in the predictive models. By relying on a limited set of…

Machine Learning · Computer Science 2019-03-27 Magda Gregorova

A compiler processes the code written in a high level language and produces machine executable code. The compiler writers often face the challenge of keeping the compilation times reasonable. That is because aggressive optimization passes…

Programming Languages · Computer Science 2019-05-30 Sanket Tavarageri

The ongoing trend of hardware specialization has led to a growing use of custom data formats when processing sparse workloads, which are typically memory-bound. These formats facilitate optimized software/hardware implementations by…

Computation and Language · Computer Science 2024-03-12 Jie Liu , Zhongyuan Zhao , Zijian Ding , Benjamin Brock , Hongbo Rong , Zhiru Zhang

Sparse tensors appear frequently in distributed deep learning, either as a direct artifact of the deep neural network's gradients, or as a result of an explicit sparsification process. Existing communication primitives are agnostic to the…

Machine Learning · Computer Science 2021-02-08 Kelly Kostopoulou , Hang Xu , Aritra Dutta , Xin Li , Alexandros Ntoulas , Panos Kalnis

As neural network model sizes have dramatically increased, so has the interest in various techniques to reduce their parameter counts and accelerate their execution. An active area of research in this field is sparsity - encouraging zero…

Super-symmetric tensors - a higher-order extension of scatter matrices - are becoming increasingly popular in machine learning and computer vision for modelling data statistics, co-occurrences, or even as visual descriptors. However, the…

Computer Vision and Pattern Recognition · Computer Science 2015-09-11 Piotr Koniusz , Anoop Cherian

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

This paper proposes a standard way to represent sparse tensors. A broad theoretical framework for tensor data scattering methods used in various deep learning frameworks is established. This paper presents a theorem that is very important…

Machine Learning · Computer Science 2021-09-06 Wuming Pan

This paper addresses spatial programming of sparse matrix computations for productive performance. The challenge is how to express an irregular computation and its optimizations in a regular way. A sparse matrix has (non-zero) values and a…

Mathematical Software · Computer Science 2018-10-18 Hongbo Rong

Advanced algorithms for large-scale electronic structure calculations are mostly based on processing multi-dimensional sparse data. Examples are sparse matrix-matrix multiplications in linear-scaling Kohn-Sham calculations or the efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-31 Ilia Sivkov , Patrick Seewald , Alfio Lazzaro , Juerg Hutter

Neural network models are widely used in solving many challenging problems, such as computer vision, personalized recommendation, and natural language processing. Those models are very computationally intensive and reach the hardware limit…

Machine Learning · Computer Science 2020-04-28 Fei Sun , Minghai Qin , Tianyun Zhang , Liu Liu , Yen-Kuang Chen , Yuan Xie

Tensors (also commonly seen as multi-linear operators or as multi-dimensional arrays) are ubiquitous in scientific computing and in data science, and so are the software efforts for tensor operations. Particularly in recent years, we have…

Mathematical Software · Computer Science 2022-06-30 Christos Psarras , Lars Karlsson , Jiajia Li , Paolo Bientinesi

As software becomes larger, programming languages become higher-level, and processors continue to fail to be clocked faster, we'll increasingly require compilers to reduce code bloat, eliminate abstraction penalties, and exploit interesting…

Programming Languages · Computer Science 2018-09-10 Nuno P. Lopes , John Regehr

We introduce a code generator that converts unoptimized C++ code operating on sparse data into vectorized and parallel CPU or GPU kernels. Our approach unrolls the computation into a massive expression graph, performs redundant expression…

Programming Languages · Computer Science 2022-03-15 Philipp Herholz , Xuan Tang , Teseo Schneider , Shoaib Kamil , Daniele Panozzo , Olga Sorkine-Hornung

Tensor processing infrastructures such as deep learning frameworks and specialized hardware accelerators have revolutionized how computationally intensive code from domains such as deep learning and image processing is executed and…

Programming Languages · Computer Science 2024-12-17 Jie Qiu , Colin Cai , Sahil Bhatia , Niranjan Hasabnis , Sanjit A. Seshia , Alvin Cheung

This paper introduces the Sparse Tsetlin Machine (STM), a novel Tsetlin Machine (TM) that processes sparse data efficiently. Traditionally, the TM does not consider data characteristics such as sparsity, commonly seen in NLP applications…

Machine Learning · Computer Science 2024-05-14 Sebastian Østby , Tobias M. Brambo , Sondre Glimsdal

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

Pseudoinverses are ubiquitous tools for handling over- and under-determined systems of equations. For computational efficiency, sparse pseudoinverses are desirable. Recently, sparse left and right pseudoinverses were introduced, using…

Numerical Analysis · Mathematics 2016-06-23 Victor K. Fuentes , Marcia Fampa , Jon Lee

Modern Machine Learning (ML) applications often benefit from structured sparsity, a technique that efficiently reduces model complexity and simplifies handling of sparse data in hardware. Sparse systolic tensor arrays - specifically…

Hardware Architecture · Computer Science 2025-04-29 Christodoulos Peltekis , Chrysostomos Nicopoulos , Giorgos Dimitrakopoulos

In this paper, we demonstrate a compiler that can optimize sparse and recurrent neural networks, both of which are currently outside of the scope of existing neural network compilers (sparse neural networks here stand for networks that can…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-05-11 Riyadh Baghdadi , Abdelkader Nadir Debbagh , Kamel Abdous , Fatima Zohra Benhamida , Alex Renda , Jonathan Elliott Frankle , Michael Carbin , Saman Amarasinghe