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This paper presents a high-performance framework for three-dimensional gravity modeling and inversion implemented in Julia, addressing key challenges in geophysical modeling such as computational complexity, ill-posedness, and the…

Geophysics · Physics 2026-02-05 Nimatullah , Pankaj K Mishra , Jochen Kamm , Anand Singh

This paper introduces Helix, a distributed system for high-throughput, low-latency large language model (LLM) serving in heterogeneous GPU clusters. The key idea behind Helix is to formulate inference computation of LLMs over heterogeneous…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-03-07 Yixuan Mei , Yonghao Zhuang , Xupeng Miao , Juncheng Yang , Zhihao Jia , Rashmi Vinayak

General Matrix Multiplication or GEMM kernels take centre place in high performance computing and machine learning. Recent NVIDIA GPUs include GEMM accelerators, such as NVIDIA's Tensor Cores. Their exploitation is hampered by the…

Mathematical Software · Computer Science 2021-11-23 Thomas Faingnaert , Tim Besard , Bjorn De Sutter

A recent GPU implementation of the Restarted Primal-Dual Hybrid Gradient Method for Linear Programming was proposed in Lu and Yang (2023). Its computational results demonstrate the significant computational advantages of the GPU-based…

Optimization and Control · Mathematics 2024-01-09 Haihao Lu , Jinwen Yang , Haodong Hu , Qi Huangfu , Jinsong Liu , Tianhao Liu , Yinyu Ye , Chuwen Zhang , Dongdong Ge

Finite-difference methods based on high-order stencils are widely used in seismic simulations, weather forecasting, computational fluid dynamics, and other scientific applications. Achieving HPC-level stencil computations on one…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-09 Ryuichi Sai , John Mellor-Crummey , Jinfan Xu , Mauricio Araya-Polo

Nonconvex mixed-integer nonlinear programs (MINLPs) represent a challenging class of optimization problems that often arise in engineering and scientific applications. Because of nonconvexities, these programs are typically solved with…

Optimization and Control · Mathematics 2018-06-27 Ole Kröger , Carleton Coffrin , Hassan Hijazi , Harsha Nagarajan

NetworkDynamics.jl is an easy-to-use and computationally efficient package for working with heterogeneous dynamical systems on complex networks, written in Julia, a high-level, high-performance, dynamic programming language. By combining…

Mathematical Software · Computer Science 2021-07-02 Michael Lindner , Lucas Lincoln , Fenja Drauschke , Julia Monika Koulen , Hans Würfel , Anton Plietzsch , Frank Hellmann

Fine-tuning large language models (LLMs) often exceeds GPU memory limits, prompting systems to offload model states to CPU memory. However, existing offloaded training frameworks like ZeRO-Offload treat all parameters equally and update the…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-08-06 Tingfeng Lan , Yusen Wu , Bin Ma , Zhaoyuan Su , Rui Yang , Tekin Bicer , Masahiro Tanaka , Olatunji Ruwase , Dong Li , Yue Cheng

We consider the unit commitment (UC) problem that employs the alternating current optimal power flow (ACOPF) constraints, which is formulated as a mixed-integer nonlinear programming problem and thus challenging to solve in practice. We…

Optimization and Control · Mathematics 2023-10-23 Weiqi Zhang , Youngdae Kim , Kibaek Kim

The Fast Fourier Transform (FFT) is a fundamental numerical technique with widespread application in a range of scientific problems. As scientific simulations attempt to exploit exascale systems, there has been a growing demand for…

Distributed, Parallel, and Cluster Computing · Computer Science 2026-01-21 Sana Taghipour Anvari , Julian Samaroo , Matin Raayai Ardakani , David Kaeli

Scaling up Large Language Model(LLM) training involves fitting a tremendous amount of training parameters across a limited number of workers. However, methods like ZeRO-3 that drastically reduce GPU memory pressure often incur heavy…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-05 Lang Xu , Quentin Anthony , Jacob Hatef , Aamir Shafi , Hari Subramoni , Dhabaleswar K. , Panda

MLJ (Machine Learing in Julia) is an open source software package providing a common interface for interacting with machine learning models written in Julia and other languages. It provides tools and meta-algorithms for selecting, tuning,…

Machine Learning · Computer Science 2020-12-01 Anthony D. Blaom , Franz Kiraly , Thibaut Lienart , Yiannis Simillides , Diego Arenas , Sebastian J. Vollmer

We detail the performance optimizations made in rocHPL, AMD's open-source implementation of the High-Performance Linpack (HPL) benchmark targeting accelerated node architectures designed for exascale systems such as the Frontier…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-04-21 Noel Chalmers , Jakub Kurzak , Damon McDougall , Paul T. Bauman

When running at scale, modern scientific workflows require middleware to handle allocated resources, distribute computing payloads and guarantee a resilient execution. While individual steps might not require sophisticated control methods,…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-07-02 Mikhail Titov , Robert Carson , Matthew Rolchigo , John Coleman , James Belak , Matthew Bement , Daniel Laney , Matteo Turilli , Shantenu Jha

Machine learning applications are computationally demanding and power intensive. Hardware acceleration of these software tools is a natural step being explored using various technologies. A recurrent processing unit (RPU) is fast and…

Emerging Technologies · Computer Science 2019-12-17 Heidi Komkov , Alessandro Restelli , Brian Hunt , Liam Shaughnessy , Itamar Shani , Daniel P. Lathrop

As GPU-accelerated mathematical programming techniques mature, there is growing interest in utilizing them to address the computational challenges of power system optimization. This paper introduces ExaModelsPower.jl, an open-source…

Systems and Control · Electrical Eng. & Systems 2026-03-16 Sanjay Johnson , Dirk Lauinger , Sungho Shin , François Pacaud

Large Language Model (LLM) inference is growing increasingly complex with the rise of Mixture-of-Experts (MoE) models and disaggregated architectures that decouple components like prefill/decode (PD) or attention/FFN (AF) for heterogeneous…

Machine Learning · Computer Science 2025-08-06 Yicheng Feng , Xin Tan , Kin Hang Sew , Yimin Jiang , Yibo Zhu , Hong Xu

Differentiating through constrained optimization problems is increasingly central to learning, control, and large-scale decision-making systems, yet practical integration remains challenging due to solver specialization and interface…

In this project, the goal was to use the Julia programming language and parallelization to write a fast map reduce algorithm to count word frequencies across large numbers of documents. We first implement the word frequency counter…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-06-14 Nithin Kavi

Chemellia is an open-source framework for atomistic machine learning in the Julia programming language. The framework takes advantage of Julia's high speed as well as the ability to share and reuse code and interfaces through the paradigm…

Computational Engineering, Finance, and Science · Computer Science 2023-05-23 Anant Thazhemadam , Dhairya Gandhi , Venkatasubramanian Viswanathan , Rachel C. Kurchin
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