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We report an implementation of the McMurchie-Davidson (MD) algorithm for 3-center and 4-center 2-particle integrals over Gaussian atomic orbitals (AOs) with low and high angular momenta $l$ and varying degrees of contraction for graphical…

Computational Physics · Physics 2024-07-30 Andrey Asadchev , Edward F. Valeev

We present a high-performance evaluation method for 4-center 2-particle integrals over Gaussian atomic orbitals with high angular momenta ($l\geq4$) and arbitrary contraction degrees on graphical processing units (GPUs) and other…

Computational Physics · Physics 2023-12-20 Andrey Asadchev , Edward F. Valeev

Efficient computation of molecular integrals and Hartree-Fock energy remains a central topic in quantum-chemistry algorithm development. Although many sophisticated open-source packages are available, understanding their implementations…

Chemical Physics · Physics 2025-10-30 Mario Hernández Vera

With high computation power and memory bandwidth, graphics processing units (GPUs) lend themselves to accelerate data-intensive analytics, especially when such applications fit the single instruction multiple data (SIMD) model. However,…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-12-12 Hang Liu , H. Howie Huang

To improve the efficiency of Gaussian integral evaluation on modern accelerated architectures FLOP-efficient Obara-Saika-based recursive evaluation schemes are optimized for the memory footprint. For the 3-center 2-particle integrals that…

Computational Physics · Physics 2024-07-30 Andrey Asadchev , Edward F. Valeev

Computational intensity and sequential nature of estimation techniques for Bayesian methods in statistics and machine learning, combined with their increasing applications for big data analytics, necessitate both the identification of…

Computation · Statistics 2015-03-02 Alireza S. Mahani , Mansour T. A. Sharabiani

Many applications in Bayesian statistics are extremely computationally intensive. However, they are often inherently parallel, making them prime targets for modern massively parallel processors. Multi-core and distributed computing is…

Computation · Statistics 2021-05-10 David J. Warne , Scott A. Sisson , Christopher Drovandi

Matrix-multiplication units (MXUs) are now prevalent in every computing platform. The key attribute that makes MXUs so successful is the semiring structure, which allows tiling for both parallelism and data reuse. Nonetheless,…

Hardware Architecture · Computer Science 2022-09-02 Yunan Zhang , Po-An Tsai , Hung-Wei Tseng

Large-scale HPC simulations of plasma dynamics in fusion devices require efficient parallel I/O to avoid slowing down the simulation and to enable the post-processing of critical information. Such complex simulations lacking parallel I/O…

This paper is concerned with developing an efficient numerical algorithm for fast implementation of the sparse grid method for computing the $d$-dimensional integral of a given function. The new algorithm, called the MDI-SG ({\em multilevel…

Numerical Analysis · Mathematics 2022-10-27 Huicong Zhong , Xiaobing Feng

Enabling On-Device Learning (ODL) for Ultra-Low-Power Micro-Controller Units (MCUs) is a key step for post-deployment adaptation and fine-tuning of Deep Neural Network (DNN) models in future TinyML applications. This paper tackles this…

Machine Learning · Computer Science 2023-05-31 Davide Nadalini , Manuele Rusci , Luca Benini , Francesco Conti

A modern graphics processing unit (GPU) is able to perform massively parallel scientific computations at low cost. We extend our implementation of the checkerboard algorithm for the two dimensional Ising model [T. Preis et al., J. Comp.…

Computational Physics · Physics 2010-07-22 Benjamin Block , Peter Virnau , Tobias Preis

The ever-increasing quest for data-level parallelism and variable precision in ubiquitous multimedia and Deep Neural Network (DNN) applications has motivated the use of Single Instruction, Multiple Data (SIMD) architectures. To alleviate…

Hardware Architecture · Computer Science 2020-11-03 Zahra Ebrahimi , Salim Ullah , Akash Kumar

Processing-using-DRAM has been proposed for a limited set of basic operations (i.e., logic operations, addition). However, in order to enable full adoption of processing-using-DRAM, it is necessary to provide support for more complex…

Molecular dynamics (MD) is an important research tool extensively applied in materials science. Running MD on a graphics processing unit (GPU) is an attractive new approach for accelerating MD simulations. Currently, GPU implementations of…

Computational Physics · Physics 2015-06-12 Qing Hou , Min Li , Yulu Zhou , Jiechao Cui , Zhenguo Cui , Jun Wang

Graphics processing units have been extensively used to accelerate classical molecular dynamics simulations. However, there is much less progress on the acceleration of force evaluations for many-body potentials compared to pairwise ones.…

Computational Physics · Physics 2017-06-27 Zheyong Fan , Wei Chen , Ville Vierimaa , Ari Harju

SISSO (sure-independence screening and sparsifying operator) is an artificial intelligence (AI) method based on symbolic regression and compressed sensing widely used in materials science research. SISSO++ is its C++ implementation that…

Performance · Computer Science 2025-02-28 Sebastian Eibl , Yi Yao , Matthias Scheffler , Markus Rampp , Luca M. Ghiringhelli , Thomas A. R. Purcell

This paper presents an efficient method for implementing the Gaussian elimination technique for an nxm (m>=n) matrix, using a 2D SIMD array of nxm processors. The described algorithm consists of 2xn-1=O(n) iterations, which provides an…

Distributed, Parallel, and Cluster Computing · Computer Science 2009-12-11 Mugurel Ionut Andreica

We describe a modified SIMD architecture suitable for single-chip integration of a large number of processing elements, such as 1,000 or more. Important differences from traditional SIMD designs are: a) The size of the memory per processing…

Astrophysics · Physics 2007-05-23 Junichiro Makino

Modelling of multivariate densities is a core component in many signal processing, pattern recognition and machine learning applications. The modelling is often done via Gaussian mixture models (GMMs), which use computationally expensive…

Mathematical Software · Computer Science 2018-05-10 Conrad Sanderson , Ryan Curtin
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