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High-throughput quantum-chemical calculations underpin modern molecular modelling, materials discovery, and machine-learning workflows, yet even semi-empirical methods become restrictive when many molecules must be evaluated. Here we report…

Chemical Physics · Physics 2026-02-13 Xincheng Miao , Roland Mitrić

Fast Fourier Transform (FFT) is an efficient algorithm to compute the Discrete Fourier Transform (DFT) and its inverse. In this paper, we pay special attention to the description of complex-data FFT. We analyze two common descriptions of…

Numerical Analysis · Computer Science 2011-10-28 Zhengjun Cao , Xiao Fan

The transformer model is known to be computationally demanding, and prohibitively costly for long sequences, as the self-attention module uses a quadratic time and space complexity with respect to sequence length. Many researchers have…

Computation and Language · Computer Science 2025-05-19 Ziwei He , Meng Yang , Minwei Feng , Jingcheng Yin , Xinbing Wang , Jingwen Leng , Zhouhan Lin

Hybrid density functional approximations (DFAs) offer compelling accuracy for ab initio electronic-structure simulations of molecules, nanosystems, and bulk materials, addressing some deficiencies of computationally cheaper, frequently used…

The challenges involved in executing neural networks (NNs) at the edge include providing diversity, flexibility, and sustainability. That implies, for instance, supporting evolving applications and algorithms energy-efficiently. Using…

Hardware Architecture · Computer Science 2024-06-14 Federico Manca , Francesco Ratto , Francesca Palumbo

The automation of ab initio simulations is essential in view of performing high-throughput (HT) computational screenings oriented to the discovery of novel materials with desired physical properties. In this work, we propose algorithms and…

This paper evaluates the efficacy of recent commercial processing-in-memory (PIM) solutions to accelerate fast Fourier transform (FFT), an important primitive across several domains. Specifically, we observe that efficient implementations…

Hardware Architecture · Computer Science 2023-08-09 Mohamed Assem Ibrahim , Shaizeen Aga

This work introduces a highly efficient implementation of the transformer architecture on a Field-Programmable Gate Array (FPGA) by using the \texttt{hls4ml} tool. Given the demonstrated effectiveness of transformer models in addressing a…

This study employed an artificial intelligence-enhanced molecular simulation framework to enable efficient Path Integral Molecular Dynamics (PIMD) simulations. Owing to its modular architecture and high-throughput capabilities, the…

Chemical Physics · Physics 2025-04-01 Cheng Fan , Maodong Li , Sihao Yuan , Zhaoxin Xie , Dechin Chen , Yi Isaac Yang , Yi Qin Gao

Machine-learning models in high-energy physics are often trained on simulated data, where fully simulated samples are computationally expensive while fast simulation provides large statistics at reduced realism. In this work, we…

Machine Learning · Computer Science 2026-05-11 Matthias Schott , Lucie Flek

Ab initio molecular dynamics (AIMD) is a valuable technique for studying molecules and materials at finite temperatures where the nuclei evolve on potential energy surfaces obtained from accurate electronic structure calculations. In this…

Chemical Physics · Physics 2021-04-27 Dmitry A. Fedorov , Matthew J. Otten , Stephen K. Gray , Yuri Alexeev

Point defects in solid-state materials are now routinely simulated using large supercell structures, requiring efficient quantum mechanical solutions. Data-driven and machine learning (ML) models trained on computational data can enable…

Materials Science · Physics 2026-05-26 Arun Mannodi-Kanakkithodi , Menglin Huang , Prashun Gorai , Seán R. Kavanagh

In recent years, utilization of heterogeneous hardware other than small core CPU such as GPU, FPGA or many core CPU is increasing. However, when using heterogeneous hardware, barriers of technical skills such as CUDA are high. Based on…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-08-24 Yoji Yamato

The non-equidistant fast Fourier transform (NFFT) is an extension of the famous fast Fourier transform (FFT), which can be applied to non-equidistantly sampled data in time/space or frequency domain. It is an approximative algorithm that…

Mathematical Software · Computer Science 2023-01-31 Tobias Knopp , Marija Boberg , Mirco Grosser

In this paper, we study the impact of computational complexity on the throughput limits of the {\color{black}fast Fourier transform (FFT)} algorithm for {\color{black}orthogonal frequency division multiplexing(OFDM)} waveforms. Based on the…

Signal Processing · Electrical Eng. & Systems 2022-09-30 Saulo Queiroz , João P. Vilela , Edmundo Monteiro

Simulations of quantum chemistry and quantum materials are believed to be among the most important potential applications of quantum information processors, but realizing practical quantum advantage for such problems is challenging. Here,…

In this work we evaluate the potential of FPGAs for accelerating HPC workloads as a more power-efficient alternative to GPUs. Using High-Level Synthesis and a large set of optimization techniques, we show that FPGAs can achieve better…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-09-17 Hamid Reza Zohouri

Finite (or Discrete) Fourier Transforms (FFT) are essential tools in engineering disciplines based on signal transmission, which is the case in most of them. FFT are related with circulant matrices, which can be viewed as group matrices of…

Number Theory · Mathematics 2013-01-08 Kanemitsu Shigeru , Waldschmidt Michel

We present a tool flow and results for a model-based hardware design for FPGAs from Simulink descriptions which nicely integrates into existing environments. While current commercial tools do not exploit some high-level optimizations, we…

Hardware Architecture · Computer Science 2015-08-28 Konrad Möller , Martin Kumm , Charles-Frederic Müller , Peter Zipf

The increasing availability of GPUs for scientific computing has prompted interest in accelerating quantum chemical calculations through their use. The complexity of integral kernels for high angular momentum basis functions however often…

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