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The efficiency of GPU kernels is central to the progress of modern AI, yet optimizing them remains a difficult and labor-intensive task due to complex interactions between memory hierarchies, thread scheduling, and hardware-specific…

Artificial Intelligence · Computer Science 2025-10-21 Juncheng Dong , Yang Yang , Tao Liu , Yang Wang , Feng Qi , Vahid Tarokh , Kaushik Rangadurai , Shuang Yang

Convergence failure and slow convergence rates are among the biggest challenges with solving the system of non-linear equations numerically. Although mitigated, such issues still linger when using strictly small time steps and…

Numerical Analysis · Mathematics 2019-12-05 Hanyu Li , Wing Tat Leung , Mary F. Wheeler

The rapid evolution of mobile edge computing (MEC) has introduced significant challenges in optimizing resource allocation in highly dynamic wireless communication systems, in which task offloading decisions should be made in real-time.…

Signal Processing · Electrical Eng. & Systems 2024-12-31 Runtao Ren , Yinyu Wu , Xuhui Zhang , Jinke Ren , Yanyan Shen , Shuqiang Wang , Kim-Fung Tsang

A model hierarchy that is based on the one-dimensional isothermal Euler equations of fluid dynamics is used for the simulation and optimisation of gas flow through a pipeline network. Adaptive refinement strategies have the aim of bringing…

Numerical Analysis · Mathematics 2017-02-01 Pia Domschke , Aseem Dua , Jeroen J. Stolwijk , Jens Lang , Volker Mehrmann

Large Language Models (LLMs) have demonstrated significant success across various domains. However, their application in complex decision-making tasks frequently necessitates intricate prompt engineering or fine-tuning, leading to…

Artificial Intelligence · Computer Science 2024-05-06 Wanpeng Zhang , Zongqing Lu

This work presents a comprehensive framework for the efficient implementation of finite-volume-based reacting flow solvers, specifically tailored for high speed propulsion applications. Using the exascale computing project (ECP) based AMReX…

Numerical investigation of compressible flows faces two main challenges. In order to accurately describe the flow characteristics, high-resolution nonlinear numerical schemes are needed to capture discontinuities and resolve wide…

Computational Physics · Physics 2020-12-09 Nils Hoppe , Stefan Adami , Nikolaus A. Adams

An approach to utilizing adaptive mesh refinement algorithms for storm surge modeling is proposed. Currently numerical models exist that can resolve the details of coastal regions but are often too costly to be run in an ensemble…

Numerical Analysis · Mathematics 2014-01-23 Kyle T. Mandli , Clint N. Dawson

Large Language Models (LLMs) deployed on edge devices learn through fine-tuning and updating a certain portion of their parameters. Although such learning methods can be optimized to reduce resource utilization, the overall required…

Machine Learning · Computer Science 2024-05-09 Ruiyang Qin , Zheyu Yan , Dewen Zeng , Zhenge Jia , Dancheng Liu , Jianbo Liu , Zhi Zheng , Ningyuan Cao , Kai Ni , Jinjun Xiong , Yiyu Shi

Despite the prevalence of retrieval-augmented language models (RALMs), the seamless integration of these models with retrieval mechanisms to enhance performance in document-based tasks remains challenging. While some post-retrieval…

Computation and Language · Computer Science 2024-06-05 Chuankai Xu , Dongming Zhao , Bo Wang , Hanwen Xing

Retrieval-Augmented Generation (RAG) enhances Large Language Models (LLMs) by integrating external knowledge bases, achieving state-of-the-art results in various coding tasks. The core of RAG is retrieving demonstration examples, which is…

Software Engineering · Computer Science 2025-02-25 Pengfei He , Shaowei Wang , Shaiful Chowdhury , Tse-Hsun Chen

Deep Learning (DL) algorithms are becoming increasingly popular for the reconstruction of high-resolution turbulent flows (aka super-resolution). However, current DL approaches perform spatially uniform super-resolution - a key performance…

Retrieval-augmented generation (RAG) enhances large language models (LLMs) with external knowledge but incurs significant inference costs due to lengthy retrieved contexts. While context compression mitigates this issue, existing methods…

Computation and Language · Computer Science 2025-09-25 Shuyu Guo , Shuo Zhang , Zhaochun Ren

The scaling of Large Language Models (LLMs) for retrieval-based tasks, particularly in Retrieval Augmented Generation (RAG), faces significant memory constraints, especially when fine-tuning extensive prompt sequences. Current open-source…

Machine Learning · Computer Science 2024-03-20 Anique Tahir , Lu Cheng , Huan Liu

Adaptive mesh refinement (AMR) is widely used to efficiently resolve localized features in time-dependent partial differential equations (PDEs) by selectively refining and coarsening the mesh. However, in long-horizon simulations, repeated…

Numerical Analysis · Mathematics 2026-02-10 Kumar Saurabh , Makrand A. Khanwale , Masado Ishii , Hari Sundar , Baskar Ganapathysubramanian

This paper proposes an adaptive neural-compilation framework to address the problem of efficient program learning. Traditional code optimisation strategies used in compilers are based on applying pre-specified set of transformations that…

Artificial Intelligence · Computer Science 2016-05-27 Rudy Bunel , Alban Desmaison , Pushmeet Kohli , Philip H. S. Torr , M. Pawan Kumar

As an entry for the 2001 Gordon Bell Award in the "special" category, we describe our 3-d, hybrid, adaptive mesh refinement (AMR) code, Enzo, designed for high-resolution, multiphysics, cosmological structure formation simulations. Our…

Astrophysics · Physics 2007-05-23 Greg L. Bryan , Tom Abel , Michael L. Norman

Novel methods are presented in this initial study for the fusion of GPU kernels in the artificial compressibility method (ACM), using tensor product elements with constant Jacobians and flux reconstruction. This is made possible through the…

Mathematical Software · Computer Science 2022-01-05 Will Trojak , Rob Watson , Freddie Witherden

This work surveys an r-adaptive moving mesh finite element method for the numerical solution of premixed laminar flame problems. Since the model of chemically reacting flow involves many different modes with diverse length scales, the…

Numerical Analysis · Mathematics 2020-08-26 Zhen Sun , Malte Braack , Jens Lang

Experience replay is an essential component in deep reinforcement learning (DRL), which stores the experiences and generates experiences for the agent to learn in real time. Recently, prioritized experience replay (PER) has been proven to…

Hardware Architecture · Computer Science 2024-03-06 Mengyuan Li , Arman Kazemi , Ann Franchesca Laguna , X. Sharon Hu
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