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The solution of linear systems of equations is a central task in a number of scientific and engineering applications. In many cases the solution of linear systems may take most of the simulation time thus representing a major bottleneck in…

Numerical Analysis · Mathematics 2020-10-28 Giovanni Isotton , Carlo Janna , Massimo Bernaschi

In this paper we present a second-order and continuous interpolation algorithm for cell-centered adaptive-mesh-refinement (AMR) grids. Continuity requirement poses a non-trivial problem at resolution changes. We develop a classification of…

Computational Physics · Physics 2016-05-04 Dmitry Borovikov , Igor V. Sokolov , Gabor Toth

By building on recent advances in the use of randomized trace estimation to drastically reduce the memory footprint of adjoint-state methods, we present and validate an imaging approach that can be executed exclusively on accelerators.…

Geophysics · Physics 2022-03-14 Mathias Louboutin , Felix J. Herrmann

Adaptive Computation (AC) has been shown to be effective in improving the efficiency of Open-Domain Question Answering (ODQA) systems. However, current AC approaches require tuning of all model parameters, and training state-of-the-art ODQA…

Computation and Language · Computer Science 2021-07-06 Yuxiang Wu , Pasquale Minervini , Pontus Stenetorp , Sebastian Riedel

Solving inverse problems and achieving statistical rigour in landscape evolution models requires running many model realizations. Parallel computation is necessary to achieve this in a reasonable time. However, no previous algorithm is…

Computational Engineering, Finance, and Science · Computer Science 2019-01-23 Richard Barnes

First-order optimization methods, such as stochastic gradient descent (SGD) and its variants, are widely used in machine learning applications due to their simplicity and low per-iteration costs. However, they often require larger numbers…

Machine Learning · Computer Science 2020-02-05 Chih-Hao Fang , Sudhir B Kylasa , Fred Roosta , Michael W. Mahoney , Ananth Grama

Particle Image Velocimetry (PIV) is a method of im-aging and analysing fields of flows. The PIV tech-niques compute and display all the motion vectors of the field in a resulting image. Speeds more than thou-sand vectors per second can be…

Hardware Architecture · Computer Science 2008-07-24 Alain Aubert , Nathalie Bochard , Virginie Fresse

Arbitrary-precision integer multiplication is the core kernel of many applications in simulation, cryptography, etc. Existing acceleration of arbitrary-precision integer multiplication includes CPUs, GPUs, FPGAs, and ASICs. Among these…

Hardware Architecture · Computer Science 2023-09-22 Zhuoping Yang , Jinming Zhuang , Jiaqi Yin , Cunxi Yu , Alex K. Jones , Peipei Zhou

Reinforcement learning (RL) is widely used for post-training large language models (LLMs) in code editing, where group-relative methods, such as GRPO, are popular due to their critic-free and normalized advantage estimation. However, in…

Machine Learning · Computer Science 2026-01-09 Jianqing Zhang , Zhezheng Hao , Wei Xia , Hande Dong , Hong Wang , Chenxing Wei , Yuyan Zhou , Yubin Qi , Qiang Lin , Jian Cao

Neural network training is inherently sequential where the layers finish the forward propagation in succession, followed by the calculation and back-propagation of gradients (based on a loss function) starting from the last layer. The…

Machine Learning · Computer Science 2023-12-01 Vahid Janfaza , Shantanu Mandal , Farabi Mahmud , Abdullah Muzahid

The dielectric response function and its inverse are crucial physical quantities in materials science. We propose an accurate and efficient strategy to invert the dielectric function matrix. The GW approximation, a powerful approach to…

Numerical Analysis · Mathematics 2024-06-13 Zhengbang Zhou , Huanhuan Ma , Wentiao Wu , Weiguo Gao , Jinlong Yang , Meiyue Shao , Wei Hu

Online adaptive radiation therapy (ART) has great promise to significantly reduce normal tissue toxicity and/or improve tumor control through real-time treatment adaptations based on the current patient anatomy. However, the major technical…

Medical Physics · Physics 2015-05-18 Chunhua Men , Xun Jia , Steve. B. Jiang

In this paper, we present a GPU-accelerated direct-sum boundary integral method to solve the linear Poisson-Boltzmann (PB) equation. In our method, a well-posed boundary integral formulation is used to ensure the fast convergence of Krylov…

Numerical Analysis · Mathematics 2015-06-12 Weihua Geng , Ferosh Jacob

The recently proposed open-source KAZE image feature detection and description algorithm offers unprecedented performance in comparison to conventional ones like SIFT and SURF as it relies on nonlinear scale spaces instead of Gaussian…

Computer Vision and Pattern Recognition · Computer Science 2017-06-22 Ramkumar B , R. S. Hegde , Rob Laber , Hristo Bojinov

This paper presents a super-resolution method based on gradient-based adaptive interpolation. In this method, in addition to considering the distance between the interpolated pixel and the neighboring valid pixel, the interpolation…

Multimedia · Computer Science 2009-03-25 Jinyu Chu , Ju Liu , Jianping Qiao , Xiaoling Wang , Yujun Li

We present a tightly integrated and unified near-memory GPU architecture that delivers 6 to 16 times speedup and 6 to 13 times energy savings across Convolutional Neural Networks, Graph Convolutional Networks, Linear Programming, Large…

Hardware Architecture · Computer Science 2026-05-26 Siddhartha Raman Sundara Raman , Jaydeep P. Kulkarni

The accelerated weight histogram (AWH) algorithm is an iterative extended ensemble algorithm, developed for statistical physics and computational biology applications. It is used to estimate free energy differences and expectations with…

Probability · Mathematics 2021-09-10 Henrik Hult , Guo-Jhen Wu

While recent self-training approaches have reduced reliance on human-labeled data for aligning LLMs, they still face critical limitations: (i) sensitivity to synthetic data quality, leading to instability and bias amplification in iterative…

Computation and Language · Computer Science 2026-05-12 Wu Li , Yigeng Zhou , Zesheng Shi , Yequan Wang , Min Zhang , Jing Li

In this work we propose an accelerated stochastic learning system for very large-scale applications. Acceleration is achieved by mapping the training algorithm onto massively parallel processors: we demonstrate a parallel, asynchronous GPU…

Machine Learning · Computer Science 2017-02-24 Thomas Parnell , Celestine Dünner , Kubilay Atasu , Manolis Sifalakis , Haris Pozidis

An efficient hardware implementation for Simultaneous Localization and Mapping (SLAM) methods is of necessity for mobile autonomous robots with limited computational resources. In this paper, we propose a resource-efficient FPGA…

Signal Processing · Electrical Eng. & Systems 2023-05-31 Keisuke Sugiura , Hiroki Matsutani