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We present SLinGen, a program generation system for linear algebra. The input to SLinGen is an application expressed mathematically in a linear-algebra-inspired language (LA) that we define. LA provides basic scalar/vector/matrix…

Programming Languages · Computer Science 2018-05-15 Daniele G. Spampinato , Diego Fabregat-Traver , Paolo Bientinesi , Markus Pueschel

Most, if not all the modern scientific simulation packages utilize matrix algebra operations. Among the operation of the linear algebra, one of the most important kernels is the multiplication of matrices, dense and sparse. Examples of…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-10-14 Ilia Sivkov , Alfio Lazzaro , Juerg Hutter

Despite advancements in the areas of parallel and distributed computing, the complexity of programming on High Performance Computing (HPC) resources has deterred many domain experts, especially in the areas of machine learning and…

The algorithms in the current sequential numerical linear algebra libraries (e.g. LAPACK) do not parallelize well on multicore architectures. A new family of algorithms, the tile algorithms, has recently been introduced. Previous research…

Mathematical Software · Computer Science 2010-02-23 Emmanuel Agullo , Henricus Bouwmeester , Jack Dongarra , Jakub Kurzak , Julien Langou , Lee Rosenberg

Data is found everywhere, from health and human infrastructure to the surge of sensors and the proliferation of internet-connected devices. To meet this challenge, the data engineering field has expanded significantly in recent years in…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-03-06 Mills Staylor , Arup Kumar Sarker , Gregor von Laszewski , Geoffrey Fox , Yue Cheng , Judy Fox

Serverless computing is increasingly adopted for its ability to manage complex, event-driven workloads without the need for infrastructure provisioning. However, traditional resource allocation in serverless platforms couples CPU and…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-03 Lingxiao Jin , Zinuo Cai , Zebin Chen , Hongyu Zhao , Ruhui Ma

Scientists increasingly rely on Python tools to perform scalable distributed memory array operations using rich, NumPy-like expressions. However, many of these tools rely on dynamic schedulers optimized for abstract task graphs, which often…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-14 Melih Elibol , Vinamra Benara , Samyu Yagati , Lianmin Zheng , Alvin Cheung , Michael I. Jordan , Ion Stoica

In recent years, to sustain the resource-intensive computational needs for training deep neural networks (DNNs), it is widely accepted that exploiting the parallelism in large-scale computing clusters is critical for the efficient…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-05-31 Menglu Yu , Chuan Wu , Bo Ji , Jia Liu

Distributed computing remains inaccessible to a large number of users, in spite of many open source platforms and extensive commercial offerings. While distributed computation frameworks have moved beyond a simple map-reduce model, many…

Distributed, Parallel, and Cluster Computing · Computer Science 2017-06-09 Eric Jonas , Qifan Pu , Shivaram Venkataraman , Ion Stoica , Benjamin Recht

Numerical linear algebra plays an important role in computer science. In this paper, we initiate the study of performing linear algebraic tasks while preserving privacy when the data is streamed online. Our main focus is the space…

Data Structures and Algorithms · Computer Science 2017-10-26 Jalaj Upadhyay

Dense linear algebra libraries, such as BLAS and LAPACK, provide a relevant collection of numerical tools for many scientific and engineering applications. While there exist high performance implementations of the BLAS (and LAPACK)…

Mathematical Software · Computer Science 2015-11-09 Sandra Catalán , José R. Herrero , Francisco D. Igual , Rafael Rodríguez-Sánchez , Enrique S. Quintana-Ortí

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

In a previous paper it was shown that a machine learning regression problem can be solved within the framework of random function theory, with the optimal kernel analytically derived from symmetry and indifference principles and coinciding…

Machine Learning · Computer Science 2025-12-19 Yuriy N. Bakhvalov

This paper explores resource allocation in serverless cloud computing platforms and proposes an optimization approach for autoscaling systems. Serverless computing relieves users from resource management tasks, enabling focus on application…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-31 Harold Ship , Evgeny Shindin , Chen Wang , Diana Arroyo , Asser Tantawi

Cloud computing offers on-demand, scalable computing and storage, and has become an essential resource for the analyses of big biomedical data. The usual approach to cloud computing requires users to reserve and provision virtual servers.…

Quantitative Methods · Quantitative Biology 2018-08-01 Dimitar Kumanov , Ling-Hong Hung , Wes Lloyd , Ka Yee Yeung

Neural networks with a latency requirement on the order of microseconds, like the ones used at the CERN Large Hadron Collider, are typically deployed on FPGAs fully unrolled and pipelined. A bottleneck for the deployment of such neural…

Hardware Architecture · Computer Science 2026-04-27 Chang Sun , Zhiqiang Que , Vladimir Loncar , Wayne Luk , Maria Spiropulu

Efficient numerical linear algebra is a core ingredient in many applications across almost all scientific and industrial disciplines. With this survey we want to illustrate that numerical linear algebra has played and is playing a crucial…

Numerical Analysis · Mathematics 2021-04-20 Martin Stoll

As the data size in Machine Learning fields grows exponentially, it is inevitable to accelerate the computation by utilizing the ever-growing large number of available cores provided by high-performance computing hardware. However, existing…

Machine Learning · Computer Science 2021-04-23 Kun Li , Liang Yuan , Yunquan Zhang , Gongwei Chen

The efficient distributed training of Large Language Models (LLMs) is severely hampered by the extreme variance in context lengths. This data heterogeneity, amplified by conventional packing strategies and asymmetric forward-backward costs,…

Artificial Intelligence · Computer Science 2025-10-01 Yuliang Liu , Guohao Wu , Shenglong Zhang , Wei Zhang , Qianchao Zhu , Zhouyang Li , Chenyu Wang

Serverless computing provides just-in-time infrastructure provisioning with rapid elasticity and a finely-grained pricing model. As full control of resource allocation is in the hands of the cloud provider and applications only consume…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-10 Natalie Carl , Tobias Pfandzelter , David Bermbach