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Precise calculations of core properties in heavy-atom systems which are described by the operators heavily concentrated in atomic cores, like to hyperfine structure and P,T-parity nonconservation effects, usually require accounting for…

Atomic Physics · Physics 2015-06-26 A. V. Titov , N. S. Mosyagin , A. N. Petrov , T. A. Isaev

Implementation of Effective Core Potentials (ECPs) into the molecular scattering suite UKRmol+ is presented together with a set of calculations for a range of targets relevant for plasma modeling. Continuum description in scattering and…

The Fermionic Neural Network (FermiNet) is a recently-developed neural network architecture that can be used as a wavefunction Ansatz for many-electron systems, and has already demonstrated high accuracy on small systems. Here we present…

Computational Physics · Physics 2020-11-17 James S. Spencer , David Pfau , Aleksandar Botev , W. M. C. Foulkes

Introduction: The extracellular matrix (ECM) is a networkof proteins and carbohydrates that has a structural and bio-chemical function. The ECM plays an important role in dif-ferentiation, migration and signaling. Several studies…

Quantitative Methods · Quantitative Biology 2022-02-17 Mohamed Ghafoor , Anh Nguyen

In this work, we propose a technique for the use of fermionic neural networks (FermiNets) with the Slater exponential Ansatz for electron-nuclear and electron-electron distances, which provides faster convergence of target ground-state…

Quantum Physics · Physics 2023-08-15 Denis Bokhan , Aleksey S. Boev , Aleksey K. Fedorov , Dmitrii N. Trubnikov

The methods which are actively used for electronic structure calculations of low-lying states of heavy- and superheavy-element compounds are briefly described. The advantages and disadvantages of calculations with the Dirac-Coulomb-Breit…

Chemical Physics · Physics 2009-11-07 A. V. Titov , N. S. Mosyagin , T. A. Isaev , A. N. Petrov

Machine learning methods have nowadays become easy-to-use tools for constructing high-dimensional interatomic potentials with ab initio accuracy. Although machine learned interatomic potentials are generally orders of magnitude faster than…

Computational Physics · Physics 2021-02-24 Yaolong Zhang , Ce Hu , Bin Jiang

The architecture of a neural network and the selection of its activation function are both fundamental to its performance. Equally vital is ensuring these two elements are well-matched, as their alignment is key to achieving effective…

Machine Learning · Computer Science 2025-06-25 Shijun Zhang , Hongkai Zhao , Yimin Zhong , Haomin Zhou

We discuss differences and similarities between variational Monte Carlo approaches that use conventional and artificial neural network parameterizations of the ground-state wave function for systems of fermions. We focus on a relatively…

Mesoscale and Nanoscale Physics · Physics 2025-01-13 Even M. Nordhagen , Jane M. Kim , Bryce Fore , Alessandro Lovato , Morten Hjorth-Jensen

The potential of neural networks (NN) in engineering is rooted in their capacity to understand intricate patterns and complex systems, leveraging their universal nonlinear approximation capabilities and high expressivity. Meanwhile,…

Computational Engineering, Finance, and Science · Computer Science 2025-01-23 Mohammed Abda , Elsa Piollet , Christopher Blake , Frédérick P. Gosselin

While recent advances in deep learning have led to significant improvements in facial expression classification (FEC), a major challenge that remains a bottleneck for the widespread deployment of such systems is their high architectural and…

Computer Vision and Pattern Recognition · Computer Science 2020-06-30 James Ren Hou Lee , Linda Wang , Alexander Wong

Machine learning interatomic potentials, particularly those based on deep equivariant neural networks, have demonstrated state-of-the-art accuracy and computational efficiency in atomistic modeling tasks like molecular dynamics and…

Reliable detection of event-related potentials (ERPs) at the single-trial level remains a major challenge due to the low signal-to-noise ratio EEG recordings. In this work, we investigate whether incorporating prior knowledge about ERP…

Signal Processing · Electrical Eng. & Systems 2026-03-24 Marek Zylinski , Bartosz Tomasz Smigielski , Gerard Cybulski

In this paper we develop the first fine-grained rounding error analysis of finite element (FE) cell kernels and assembly. The theory includes mixed-precision implementations and accounts for hardware-acceleration via matrix multiplication…

Numerical Analysis · Mathematics 2024-10-17 M. Croci , G. N. Wells

Machine-learned interatomic potentials are fast becoming an indispensable tool in computational materials science. One approach is the ephemeral data-derived potential (EDDP), which was designed to accelerate atomistic structure prediction.…

A neuroevolution potential (NEP) for the ternary $\alpha$-Fe--C--H system was developed based on a database generated from spin-polarized density functional theory (DFT) calculations, achieving empirical potential efficiency with DFT…

Materials Science · Physics 2025-10-23 Fan-Shun Meng , Shuhei Shinzato , Zhiqiang Zhao , Jun-Ping Du , Lei Gao , Zheyong Fan , Shigenobu Ogata

We study the expressive power of kernel methods and the algorithmic feasibility of multiple kernel learning for a special rich class of kernels. Specifically, we define \emph{Euclidean kernels}, a diverse class that includes most, if not…

Machine Learning · Computer Science 2019-02-14 Pravesh K. Kothari , Roi Livni

Measurements from particle timing detectors are often affected by the time walk effect caused by statistical fluctuations in the charge deposited by passing particles. The constant fraction discriminator (CFD) algorithm is frequently used…

Instrumentation and Detectors · Physics 2024-03-19 Mateusz Kocot , Krzysztof Misan , Valentina Avati , Edoardo Bossini , Leszek Grzanka , Nicola Minafra

We present a simple, yet general, end-to-end deep neural network representation of the potential energy surface for atomic and molecular systems. This methodology, which we call Deep Potential, is "first-principle" based, in the sense that…

Computational Physics · Physics 2020-07-20 Jiequn Han , Linfeng Zhang , Roberto Car , Weinan E

We implement and benchmark the frozen core approximation, a technique commonly adopted in electronic structure theory to reduce the computational cost by means of mathematically fixing the chemically inactive core electron states. The…

Materials Science · Physics 2021-06-14 Victor Wen-zhe Yu , Jonathan Moussa , Volker Blum