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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

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

Task-based execution frameworks, such as parallel programming libraries, computational workflow systems, and function-as-a-service platforms, enable the composition of distinct tasks into a single, unified application designed to achieve a…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-08-15 J. Gregory Pauloski , Valerie Hayot-Sasson , Maxime Gonthier , Nathaniel Hudson , Haochen Pan , Sicheng Zhou , Ian Foster , Kyle Chard

The current landscape of scientific research is widely based on modeling and simulation, typically with complexity in the simulation's flow of execution and parameterization properties. Execution flows are not necessarily straightforward…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-07-26 Eduardo Ponce , Brittany Stephenson , Suzanne Lenhart , Judy Day , Gregory D. Peterson

Various fields of science and engineering rely on linear algebra for large scale data analysis, modeling and simulation, machine learning, and other applied problems. Linear algebra computations often dominate the execution time of such…

Mathematical Software · Computer Science 2014-08-07 Boyana Norris , Sa-Lin Bernstein , Ramya Nair , Elizabeth Jessup

The unknown parameters of simulation models often need to be calibrated using observed data. When simulation models are expensive, calibration is usually carried out with an emulator. The effectiveness of the calibration process can be…

Computation · Statistics 2024-12-03 Özge Sürer , Stefan M. Wild

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

One of the greatest efforts of computational scientists is to translate the mathematical model describing a class of physical phenomena into large and complex codes. Many of these codes face the difficulty of implementing the mathematical…

Computational Engineering, Finance, and Science · Computer Science 2018-01-17 Edoardo Di Napoli , Elmar Peise , Markus Hrywniak , Paolo Bientinesi

To exploit both memory locality and the full performance potential of highly tuned kernels, dense linear algebra libraries such as LAPACK commonly implement operations as blocked algorithms. However, to achieve next-to-optimal performance…

Mathematical Software · Computer Science 2022-04-08 Elmar Peise , Paolo Bientinesi

Large Language Models (LLMs) show promise for automated code optimization but struggle without performance context. This work introduces Opal, a modular framework that connects performance analytics insights with the vast body of published…

Performance · Computer Science 2025-10-02 Mohammad Zaeed , Tanzima Z. Islam , Vladimir Inđić

Linear models are a core component for statistical software that analyzes treatment effects. They are used in experimentation platforms where analysis is automated, as well as scientific studies where analysis is done locally and manually.…

Computation · Statistics 2019-10-15 Jeffrey Wong , Randall Lewis , Matthew Wardrop

Linear algebra operations are widely used in scientific computing and machine learning applications. However, it is challenging for scientists and data analysts to run linear algebra at scales beyond a single machine. Traditional approaches…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-10-24 Vaishaal Shankar , Karl Krauth , Qifan Pu , Eric Jonas , Shivaram Venkataraman , Ion Stoica , Benjamin Recht , Jonathan Ragan-Kelley

Developing efficient parallel applications is critical to advancing scientific development but requires significant performance analysis and optimization. Performance analysis tools help developers manage the increasing complexity and scale…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-01-25 Onur Cankur , Aditya Tomar , Daniel Nichols , Connor Scully-Allison , Katherine E. Isaacs , Abhinav Bhatele

As supercomputers continue to grow in scale and capabilities, it is becoming increasingly difficult to isolate processor and system level causes of performance degradation. Over the last several years, a significant number of performance…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-03-03 Hari K. Pyla , Bharath Ramesh , Calvin J. Ribbens , Srinidhi Varadarajan

Large language models (LLMs) show promise for automated code optimization. However, without performance context, they struggle to produce correct and effective code transformations. Existing performance tools can identify bottlenecks but…

Performance · Computer Science 2026-04-28 Mohammad Zaeed , Tanzima Z. Islam , Vladimir Indic

We introduce a novel kernel-based framework for learning differential equations and their solution maps that is efficient in data requirements, in terms of solution examples and amount of measurements from each example, and computational…

Machine Learning · Statistics 2025-04-07 Yasamin Jalalian , Juan Felipe Osorio Ramirez , Alexander Hsu , Bamdad Hosseini , Houman Owhadi

It is universally known that caching is critical to attain high- performance implementations: In many situations, data locality (in space and time) plays a bigger role than optimizing the (number of) arithmetic floating point operations. In…

Mathematical Software · Computer Science 2014-02-25 Elmar Peise , Paolo Bientinesi

Important computational physics problems are often large-scale in nature, and it is highly desirable to have robust and high performing computational frameworks that can quickly address these problems. However, it is no trivial task to…

Mathematical Software · Computer Science 2017-09-18 J. Chang , K. B. Nakshatrala , M. G. Knepley , L. Johnsson

Portability, performance, and productivity are three critical dimensions for evaluating a programming model or compiler infrastructure. Several modern programming models for computational science focus on performance and portability. On the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-01 Brian Kelley , Sivasankaran Rajamanickam

Code often suffers from performance bugs. These bugs necessitate the research and practice of code optimization. Traditional rule-based methods rely on manually designing and maintaining rules for specific performance bugs (e.g., redundant…

Software Engineering · Computer Science 2025-12-30 Yue Wu , Minghao Han , Ruiyin Li , Peng Liang , Amjed Tahir , Zengyang Li , Qiong Feng , Mojtaba Shahin
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