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Generative AI technology based on Large Language Models (LLM) has been developed and applied to assist or automatically generate program codes. In this paper, we evaluate the capability of existing general LLMs for Basic Linear Algebra…

Machine Learning · Computer Science 2025-07-08 Daichi Mukunoki , Shun-ichiro Hayashi , Tetsuya Hoshino , Takahiro Katagiri

This paper pushes further the intrinsic capabilities of the GFEM$^{gl}$ global-local approach introduced initially in [1]. We develop a distributed computing approach using MPI (Message Passing Interface) both for the global and local…

Numerical Analysis · Mathematics 2023-02-22 Alexis Salzman , Nicolas Moës

While model serving has unlocked unprecedented capabilities, the high cost of serving large-scale models continues to be a significant barrier to widespread accessibility and rapid innovation. Compiler optimizations have long driven…

Machine Learning · Computer Science 2026-02-05 Annabelle Sujun Tang , Christopher Priebe , Rohan Mahapatra , Lianhui Qin , Hadi Esmaeilzadeh

Large language models have shown remarkable ability in serial code generation, but they still struggle with parallel code for which training data is comparatively scarce. A common remedy is to use coding agents that interact with external…

Software Engineering · Computer Science 2026-04-28 Gautam Singh , Arjun Guha , Bhavya Kailkhura , Harshitha Menon

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2010-06-28 Yucheng Low , Joseph Gonzalez , Aapo Kyrola , Danny Bickson , Carlos Guestrin , Joseph M. Hellerstein

Multiresolution Matrix Factorization (MMF) was recently introduced as a method for finding multiscale structure and defining wavelets on graphs/matrices. In this paper we derive pMMF, a parallel algorithm for computing the MMF…

Numerical Analysis · Computer Science 2015-07-17 Risi Kondor , Nedelina Teneva , Pramod K. Mudrakarta

Correlation clustering is a central topic in unsupervised learning, with many applications in ML and data mining. In correlation clustering, one receives as input a signed graph and the goal is to partition it to minimize the number of…

Data Structures and Algorithms · Computer Science 2021-06-17 Vincent Cohen-Addad , Silvio Lattanzi , Slobodan Mitrović , Ashkan Norouzi-Fard , Nikos Parotsidis , Jakub Tarnawski

We introduce a new sorting algorithm that is the combination of ML-enhanced sorting with the In-place Super Scalar Sample Sort (IPS4o). The main contribution of our work is to achieve parallel ML-enhanced sorting, as previous algorithms…

Data Structures and Algorithms · Computer Science 2022-08-26 Ivan Carvalho

Designing and implementing efficient, provably correct parallel machine learning (ML) algorithms is challenging. Existing high-level parallel abstractions like MapReduce are insufficiently expressive while low-level tools like MPI and…

Machine Learning · Computer Science 2014-08-12 Yucheng Low , Joseph E. Gonzalez , Aapo Kyrola , Danny Bickson , Carlos E. Guestrin , Joseph Hellerstein

In his article "Powerlist: A Structure for Parallel Recursion" Jayadev Misra wrote: "Many data parallel algorithms - Fast Fourier Transform, Batcher's sorting schemes and prefix sum - exhibit recursive structure. We propose a data…

Computational Geometry · Computer Science 2011-09-06 Roman Gitlin

Matrix multiplication is fundamental in the backpropagation algorithm used to train deep neural network models. Libraries like Intel's MKL or NVIDIA's cuBLAS implemented new and optimized matrix multiplication techniques that increase…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-05-28 L. A. Torres , Carlos J. Barrios H , Yves Denneulin

The symmetric sparse matrix-vector multiplication (SymmSpMV) is an important building block for many numerical linear algebra kernel operations or graph traversal applications. Parallelizing SymmSpMV on today's multicore platforms with up…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-09-30 Christie L. Alappat , Georg Hager , Olaf Schenk , Jonas Thies , Achim Basermann , Alan R. Bishop , Holger Fehske , Gerhard Wellein

Many problems in machine learning can be solved by rounding the solution of an appropriate linear program (LP). This paper shows that we can recover solutions of comparable quality by rounding an approximate LP solution instead of the ex-…

Numerical Analysis · Computer Science 2013-11-19 Srikrishna Sridhar , Victor Bittorf , Ji Liu , Ce Zhang , Christopher Ré , Stephen J. Wright

In the development of industrial digital twins, the optimization problem of technological and business processes often arises. In many cases, this problem can be reduced to a large-scale linear programming (LP) problem. The article is…

Optimization and Control · Mathematics 2021-02-16 Leonid B. Sokolinsky , Irina M. Sokolinskaya

This paper presents a meta-compilation framework, the MCompiler. The main idea is that different segments of a program can be compiled with different compilers/optimizers and combined into a single executable. The MCompiler can be used in a…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-05-31 Aniket Shivam , Alexandru Nicolau , Alexander V. Veidenbaum

Coreference Resolution (CR) is a critical task in Natural Language Processing (NLP). Current research faces a key dilemma: whether to further explore the potential of supervised neural methods based on small language models, whose…

Computation and Language · Computer Science 2026-05-08 Kangyang Luo , Yuzhuo Bai , Shuzheng Si , Cheng Gao , Zhitong Wang , Yingli Shen , Wenhao Li , Zhu Liu , Yufeng Han , Jiayi Wu , Cunliang Kong , Maosong Sun

The number of cores on graphical computing units (GPUs) is reaching thousands nowadays, whereas the clock speed of processors stagnates. Unfortunately, constraint programming solvers do not take advantage yet of GPU parallelism. One reason…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-26 Pierre Talbot , Frédéric Pinel , Pascal Bouvry

According to the increasing complexity of network application and internet traffic, network processor as a subset of embedded processors have to process more computation intensive tasks. By scaling down the feature size and emersion of chip…

Hardware Architecture · Computer Science 2012-04-13 Mehdi Alipour , Hojjat Taghdisi

Parallel computing is a standard approach to achieving high-performance computing (HPC). Three commonly used methods to implement parallel computing include: 1) applying multithreading technology on single-core or multi-core CPUs; 2)…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-09-18 Xinyao Yi

As we have entered Exascale computing, the faults in high-performance systems are expected to increase considerably. To compensate for a higher failure rate, the standard checkpoint/restart technique would need to create checkpoints at a…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-10-26 Sarthak Joshi , Sathish Vadhiyar