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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

The success and popularity of deep learning is on the rise, partially due to powerful deep learning frameworks such as TensorFlow and PyTorch that make it easier to develop deep learning models. However, these libraries also come with steep…

Programming Languages · Computer Science 2022-04-11 Kensen Shi , David Bieber , Rishabh Singh

Automated code generation and performance enhancements for sparse tensor algebra have become essential in many real-world applications, such as quantum computing, physical simulations, computational chemistry, and machine learning. General…

Programming Languages · Computer Science 2024-08-20 Adhitha Dias , Logan Anderson , Kirshanthan Sundararajah , Artem Pelenitsyn , Milind Kulkarni

Numerical applications and, more recently, machine learning applications rely on high-dimensional data that is typically organized into multi-dimensional tensors. Many existing frameworks, libraries, and domain-specific languages support…

Programming Languages · Computer Science 2018-01-29 Norman A. Rink

Tensor networks are factorizations of high-dimensional tensors into networks of smaller tensors. They have applications in physics and mathematics, and recently have been proposed as promising machine learning architectures. To ease the…

Machine Learning · Computer Science 2024-06-12 José Ramón Pareja Monturiol , David Pérez-García , Alejandro Pozas-Kerstjens

Machine learning (ML) models are widely used in many important domains. For efficiently processing these computational- and memory-intensive applications, tensors of these over-parameterized models are compressed by leveraging sparsity,…

Hardware Architecture · Computer Science 2021-08-11 Shail Dave , Riyadh Baghdadi , Tony Nowatzki , Sasikanth Avancha , Aviral Shrivastava , Baoxin Li

Tensor networks provide a powerful framework for compressing multi-dimensional data. The optimal tensor network structure for a given data tensor depends on both data characteristics and specific optimality criteria, making tensor network…

Computational Engineering, Finance, and Science · Computer Science 2026-03-23 Zheng Guo , Aditya Deshpande , Brian Kiedrowski , Xinyu Wang , Alex Gorodetsky

We present a comprehensive framework for structured sparse coding and modeling extending the recent ideas of using learnable fast regressors to approximate exact sparse codes. For this purpose, we develop a novel block-coordinate proximal…

Machine Learning · Computer Science 2012-06-22 Alex Bronstein , Pablo Sprechmann , Guillermo Sapiro

The tensor programming abstraction is a foundational paradigm which allows users to write high performance programs via a high-level imperative interface. Recent work on sparse tensor compilers has extended this paradigm to sparse tensors…

Databases · Computer Science 2025-10-06 Kyle Deeds , Willow Ahrens , Magda Balazinska , Dan Suciu

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

Recent years have seen considerable work on compiling sparse tensor algebra expressions. This paper addresses a shortcoming in that work, namely how to generate efficient code (in time and space) that scatters values into a sparse result…

Programming Languages · Computer Science 2024-04-09 Genghan Zhang , Olivia Hsu , Fredrik Kjolstad

This paper presents a code generator for sparse tensor contraction computations. It leverages a mathematical representation of loop nest computations in the sparse polyhedral framework (SPF), which extends the polyhedral model to support…

Programming Languages · Computer Science 2022-08-26 Tuowen Zhao , Tobi Popoola , Mary Hall , Catherine Olschanowsky , Michelle Mills Strout

Modern machine learning frameworks are complex: they are typically organised in multiple layers each of which is written in a different language and they depend on a number of external libraries, but at their core they mainly consist of…

Programming Languages · Computer Science 2021-06-22 Artjoms Šinkarovs , Hans-Nikolai Vießmann , Sven-Bodo Scholz

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

As deep learning models grow, sparsity is becoming an increasingly critical component of deep neural networks, enabling improved performance and reduced storage. However, existing frameworks offer poor support for sparsity. Specialized…

Machine Learning · Computer Science 2023-04-18 Andrei Ivanov , Nikoli Dryden , Tal Ben-Nun , Saleh Ashkboos , Torsten Hoefler

A program is characterized by its input model, and a formal input model can be of use in diverse areas including vulnerability analysis, reverse engineering, fuzzing and software testing, clone detection and refactoring. Unfortunately,…

Software Engineering · Computer Science 2019-12-13 Rahul Gopinath , Björn Mathis , Andreas Zeller

Many recent machine learning models rely on fine-grained dynamic control flow for training and inference. In particular, models based on recurrent neural networks and on reinforcement learning depend on recurrence relations, data-dependent…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-05-09 Yuan Yu , Martín Abadi , Paul Barham , Eugene Brevdo , Mike Burrows , Andy Davis , Jeff Dean , Sanjay Ghemawat , Tim Harley , Peter Hawkins , Michael Isard , Manjunath Kudlur , Rajat Monga , Derek Murray , Xiaoqiang Zheng

Sparse tensor algebra computations have become important in many real-world applications like machine learning, scientific simulations, and data mining. Hence, automated code generation and performance optimizations for tensor algebra…

Programming Languages · Computer Science 2022-05-25 Adhitha Dias , Kirshanthan Sundararajah , Charitha Saumya , Milind Kulkarni

Batch-splitting (data-parallelism) is the dominant distributed Deep Neural Network (DNN) training strategy, due to its universal applicability and its amenability to Single-Program-Multiple-Data (SPMD) programming. However, batch-splitting…

In big-data analytics, using tensor decomposition to extract patterns from large, sparse multivariate data is a popular technique. Many challenges exist for designing parallel, high performance tensor decomposition algorithms due to…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-17 Thomas B. Rolinger , Tyler A. Simon , Christopher D. Krieger