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Countless applications cast their computational core in terms of dense linear algebra operations. These operations can usually be implemented by combining the routines offered by standard linear algebra libraries such as BLAS and LAPACK,…

Performance · Computer Science 2014-10-01 Elmar Peise , Paolo Bientinesi

This paper presents a comprehensive comparative survey of TensorFlow and PyTorch, the two leading deep learning frameworks, focusing on their usability, performance, and deployment trade-offs. We review each framework's programming paradigm…

Machine Learning · Computer Science 2025-08-07 Zakariya Ba Alawi

Neural network frameworks such as PyTorch and TensorFlow are the workhorses of numerous machine learning applications ranging from object recognition to machine translation. While these frameworks are versatile and straightforward to use,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-24 Nicolas Weber , Florian Schmidt , Mathias Niepert , Felipe Huici

Software packages like TensorFlow and PyTorch are designed to support linear algebra operations, and their speed and usability determine their success. However, by prioritising speed, they often neglect memory requirements. As a…

Machine Learning · Computer Science 2022-06-29 Artem Artemev , Tilman Roeder , Mark van der Wilk

This dissertation introduces measurement-based performance modeling and prediction techniques for dense linear algebra algorithms. As a core principle, these techniques avoid executions of such algorithms entirely, and instead predict their…

Performance · Computer Science 2017-06-06 Elmar Peise

Optimal use of computing resources requires extensive coding, tuning and benchmarking. To boost developer productivity in these time consuming tasks, we introduce the Experimental Linear Algebra Performance Studies framework (ELAPS), a…

Performance · Computer Science 2015-05-01 Elmar Peise , Paolo Bientinesi

We observe a disconnect between the developers and the end users of linear algebra libraries. On the one hand, the numerical linear algebra and the high-performance communities invest significant effort in the development and optimization…

Mathematical Software · Computer Science 2022-07-25 Christos Psarras , Henrik Barthels , Paolo Bientinesi

The rapid growth of large-scale machine learning (ML) models has led numerous commercial companies to utilize ML models for generating predictive results to help business decision-making. As two primary components in traditional predictive…

Performance · Computer Science 2024-01-25 Wenbo Sun , Asterios Katsifodimos , Rihan Hai

In the past two decades, some major efforts have been made to reduce exact (e.g. integer, rational, polynomial) linear algebra problems to matrix multiplication in order to provide algorithms with optimal asymptotic complexity. To provide…

Symbolic Computation · Computer Science 2009-01-14 Jean-Guillaume Dumas , Pascal Giorgi , Clément Pernet

It is well known that the behavior of dense linear algebra algorithms is greatly influenced by factors like target architecture, underlying libraries and even problem size; because of this, the accurate prediction of their performance is a…

Mathematical Software · Computer Science 2012-12-11 Elmar Peise , Paolo Bientinesi

Deep Learning (DL) libraries like TensorFlow and Pytorch simplify machine learning (ML) model development but are prone to bugs due to their complex design. Bug-finding techniques exist, but without precise API specifications, they produce…

Software Engineering · Computer Science 2026-02-04 Facundo Molina , M M Abid Naziri , Feiran Qin , Alessandra Gorla , Marcelo d'Amorim

Machine Learning applications on HPC systems have been gaining popularity in recent years. The upcoming large scale systems will offer tremendous parallelism for training through GPUs. However, another heavy aspect of Machine Learning is…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-07-05 Steven W. D. Chien , Artur Podobas , Ivy B. Peng , Stefano Markidis

Tensor algebra finds applications in various domains, and these applications, especially when accelerated on spatial hardware accelerators, can deliver high performance and low power. Spatial hardware accelerator exhibits complex design…

Hardware Architecture · Computer Science 2021-04-27 Liancheng Jia , Zizhang Luo , Liqiang Lu , Yun Liang

Dedicated tensor accelerators demonstrate the importance of linear algebra in modern applications. Such accelerators have the potential for impressive performance gains, but require programmers to rewrite code using vendor APIs - a barrier…

A growing number of Machine Learning Frameworks recently made Deep Learning accessible to a wider audience of engineers, scientists, and practitioners, by allowing straightforward use of complex neural network architectures and algorithms.…

Machine Learning · Computer Science 2022-12-08 Ivan Svogor , Christian Eichenberger , Markus Spanring , Moritz Neun , Michael Kopp

Several methods exist today to accelerate Machine Learning(ML) or Deep-Learning(DL) model performance for training and inference. However, modern techniques that rely on various graph and operator parallelism methodologies rely on search…

Machine Learning · Computer Science 2023-08-23 Srinjoy Das , Lawrence Rauchwerger

We introduce a learning-based framework to optimize tensor programs for deep learning workloads. Efficient implementations of tensor operators, such as matrix multiplication and high dimensional convolution, are key enablers of effective…

Machine Learning · Computer Science 2019-01-10 Tianqi Chen , Lianmin Zheng , Eddie Yan , Ziheng Jiang , Thierry Moreau , Luis Ceze , Carlos Guestrin , Arvind Krishnamurthy

Efficient execution of deep learning workloads on dataflow architectures is crucial for overcoming memory bottlenecks and maximizing performance. While streaming intermediate results between computation kernels can significantly improve…

Hardware Architecture · Computer Science 2025-09-24 Hanchen Ye , Deming Chen

Training modern deep learning models is increasingly constrained by GPU memory and compute limits. While Randomized Numerical Linear Algebra (RandNLA) offers proven techniques to compress these models, the lack of a unified,…

Machine Learning · Computer Science 2026-01-23 Fahd Seddik , Abdulrahman Elbedewy , Gaser Sami , Mohamed Abdelmoniem , Yahia Zakaria

Machine learning has changed the computing paradigm. Products today are built with machine intelligence as a central attribute, and consumers are beginning to expect near-human interaction with the appliances they use. However, much of the…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-06-07 Xingzhou Zhang , Yifan Wang , Weisong Shi
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