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Related papers: High-Performance Level-1 and Level-2 BLAS

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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

High Performance Computing (HPC) aims at providing reasonably fast computing solutions to scientific and real life problems. The advent of multicore architectures is noticeable in the HPC history, because it has brought the underlying…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-07 Claude Tadonki

We present a new approach to fault tolerance for High Performance Computing system. Our approach is based on a careful adaptation of the Algorithmic Based Fault Tolerance technique (Huang and Abraham, 1984) to the need of parallel…

Distributed, Parallel, and Cluster Computing · Computer Science 2008-06-20 George Bosilca , Remi Delmas , Jack Dongarra , Julien Langou

This work introduces CLBlast, an open-source BLAS library providing optimized OpenCL routines to accelerate dense linear algebra for a wide variety of devices. It is targeted at machine learning and HPC applications and thus provides a fast…

Mathematical Software · Computer Science 2018-04-30 Cedric Nugteren

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

High-performance computing (HPC) centers consume substantial power, incurring environmental and operational costs. This review assesses how artificial intelligence (AI), including machine learning (ML) and optimization, improves the…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-02-03 Pierrick Pochelu , Hyacinthe Cartiaux , Julien Schleich

Large-scale foundation models have demonstrated exceptional performance in language and vision tasks. However, the numerous dense matrix-vector operations involved in these large networks pose significant computational challenges during…

Machine Learning · Computer Science 2024-10-31 Changwoo Lee , Soo Min Kwon , Qing Qu , Hun-Seok Kim

The integration of large language models (LLMs) with external tools has significantly expanded the capabilities of AI agents. However, as the diversity of both LLMs and tools increases, selecting the optimal model-tool combination becomes a…

Computation and Language · Computer Science 2026-01-08 Jinyang Wu , Guocheng Zhai , Ruihan Jin , Jiahao Yuan , Yuhao Shen , Shuai Zhang , Zhengqi Wen , Jianhua Tao

With the rapid development of artificial intelligence and the advent of the 5G era, deep learning has received extensive attention from researchers. Broad Learning System (BLS) is a new deep learning model proposed recently, which shows its…

Cryptography and Security · Computer Science 2021-01-11 Haiyang Liu , Hanlin Zhang , Li Guo , Jia Yu , Jie Lin

Bilevel optimization (BO) is useful for solving a variety of important machine learning problems including but not limited to hyperparameter optimization, meta-learning, continual learning, and reinforcement learning. Conventional BO…

Machine Learning · Computer Science 2022-09-20 Mao Ye , Bo Liu , Stephen Wright , Peter Stone , Qiang Liu

Numerical methods of the ADER family, in particular finite-element ADER-DG and finite-volume ADER-WENO methods, are among the most accurate numerical methods for solving quasilinear hyperbolic PDE systems. The internal structure of ADER-DG…

Fluid Dynamics · Physics 2025-09-30 I. S. Popov

Tensor computations--in particular tensor contraction (TC)--are important kernels in many scientific computing applications. Due to the fundamental similarity of TC to matrix multiplication (MM) and to the availability of optimized…

Mathematical Software · Computer Science 2025-03-26 Devin A. Matthews

Operator splitting methods have been successfully used in computational sciences, statistics, learning and vision areas to reduce complex problems into a series of simpler subproblems. However, prevalent splitting schemes are mostly…

Computer Vision and Pattern Recognition · Computer Science 2018-05-01 Risheng Liu , Shichao Cheng , Yi He , Xin Fan , Zhongxuan Luo

Due to rising demands for Artificial Inteligence (AI) inference, especially in higher education, novel solutions utilising existing infrastructure are emerging. The utilisation of High-Performance Computing (HPC) has become a prevalent…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-11-27 Tim Trappen , Robert Keßler , Roland Pabel , Viktor Achter , Stefan Wesner

The GraphBLAS high performance library standard has yielded capabilities beyond enabling graph algorithms to be readily expressed in the language of linear algebra. These GraphBLAS capabilities enable new performant ways of thinking about…

Data Structures and Algorithms · Computer Science 2025-09-24 Hayden Jananthan , Jeremy Kepner , Michael Jones , Vijay Gadepally , Michael Houle , Peter Michaleas , Chasen Milner , Alex Pentland

Context: Classification of software requirements into different categories is a critically important task in requirements engineering (RE). Developing machine learning (ML) approaches for requirements classification has attracted great…

Software Engineering · Computer Science 2023-02-27 Manal Binkhonain , Liping Zhao

Bilevel learning refers to machine learning problems that can be formulated as bilevel optimization models, where decisions are organized in a hierarchical structure. This paradigm has recently gained considerable attention in machine…

Optimization and Control · Mathematics 2026-05-05 Riccardo Grazzi , Massimiliano Pontil , Saverio Salzo , Alain Zemkoho

Large language models (LLMs) exhibit memory-intensive behavior during decoding, making it a key bottleneck in LLM inference. To accelerate decoding execution, hybrid-bonding-based 3D-DRAM has been adopted in LLM accelerators. While this…

Hardware Architecture · Computer Science 2026-04-10 Cong Li , Chenhao Xue , Yi Ren , Xiping Dong , Yu Cheng , Yinbo Hu , Fujun Bai , Yixin Guo , Xiping Jiang , Qiang Wu , Zhi Yang , Zhe Cheng , Yuan Xie , Guangyu Sun

Modern high performance computing (HPC) systems exhibit a rapid growth in size, both "horizontally" in the number of nodes, as well as "vertically" in the number of cores per node. As such, they offer additional levels of hardware…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-11-06 Ahmed Eleliemy , Ali Mohammed , Florina M. Ciorba

BLASFEO is a dense linear algebra library providing high-performance implementations of BLAS- and LAPACK-like routines for use in embedded optimization. A key difference with respect to existing high-performance implementations of BLAS is…

Mathematical Software · Computer Science 2020-02-05 Gianluca Frison , Dimitris Kouzoupis , Tommaso Sartor , Andrea Zanelli , Moritz Diehl