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In this paper, we propose multi-scale deep neural networks (MscaleDNNs) using the idea of radial scaling in frequency domain and activation functions with compact support. The radial scaling converts the problem of approximation of high…

Computational Physics · Physics 2020-12-30 Ziqi Liu , Wei Cai , Zhi-Qin John Xu

The projection-based wave function (WF)-in-DFT embedding enables an efficient description of both the energetics and properties of large and complex chemical systems, with accuracy exceeding that of pure DFT. Recently, we have proposed…

Chemical Physics · Physics 2025-11-18 Enzo Monino , Daria Drwal , Pavel Beran , Michał Hapka , Libor Veis , Katarzyna Pernal

We present an extensive set of surface and chemisorption energies calculated using state of the art many-body perturbation theory. In the first part of the paper we consider ten surface reactions in the low coverage regime where…

Materials Science · Physics 2018-02-01 Per Simmendefeldt Schmidt , Kristian Sommer Thygesen

Monte Carlo methods are widely used in particle physics to integrate and sample probability distributions (differential cross sections or decay rates) on multi-dimensional phase spaces. We present a Neural Network (NN) algorithm optimized…

High Energy Physics - Phenomenology · Physics 2020-10-21 Matthew D. Klimek , Maxim Perelstein

Time-dependent current-density-functional theory (TDCDFT) provides an in principle exact scheme to calculate efficiently response functions for a very broad range of applications. However, the lack of approximations valid for a range of…

Strongly Correlated Electrons · Physics 2015-05-20 Matteo Gatti

With the tremendous success of deep learning, there exists imminent need to deploy deep learning models onto edge devices. To tackle the limited computing and storage resources in edge devices, model compression techniques have been widely…

Machine Learning · Computer Science 2020-10-20 Sung-En Chang , Yanyu Li , Mengshu Sun , Weiwen Jiang , Runbin Shi , Xue Lin , Yanzhi Wang

Diffusion models (DMs) generate remarkable high quality images via the stochastic denoising process, which unfortunately incurs high sampling time. Post-quantizing the trained diffusion models in fixed bit-widths, e.g., 4 bits on weights…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Rocco Manz Maruzzelli , Basile Lewandowski , Lydia Y. Chen

Recently, Deep Neural Networks (DNNs) have recorded great success in handling medical and other complex classification tasks. However, as the sizes of a DNN model and the available dataset increase, the training process becomes more complex…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-02-08 Samson B. Akintoye , Liangxiu Han , Xin Zhang , Haoming Chen , Daoqiang Zhang

An accurate determination of the electron correlation energy is essential for describing the structure, stability, and function in a wide variety of systems, ranging from gas-phase molecular assemblies to condensed matter and…

Chemical Physics · Physics 2014-03-05 Alberto Ambrosetti , Anthony M. Reilly , Robert A. DiStasio , Alexandre Tkatchenko

Modeling many-body quantum systems with strong interactions is one of the core challenges of modern physics. A range of methods has been developed to approach this task, each with its own idiosyncrasies, approximations, and realm of…

Statistical Mechanics · Physics 2018-11-21 Brett Larder , Dirk Gericke , Scott Richardson , Paul Mabey , Thomas White , Gianluca Gregori

The large computing and memory cost of deep neural networks (DNNs) often precludes their use in resource-constrained devices. Quantizing the parameters and operations to lower bit-precision offers substantial memory and energy savings for…

Machine Learning · Computer Science 2023-09-01 Clemens JS Schaefer , Siddharth Joshi , Shan Li , Raul Blazquez

The accurate description of electrostatic interactions remains a challenging problem for fitted potential-energy functions. The commonly used fixed partial-charge approximation fails to reproduce the electrostatic potential at short range…

Chemical Physics · Physics 2022-04-05 Moritz Thürlemann , Lennard Böselt , Sereina Riniker

Methods based on Deep Learning have recently been applied on astrophysical parameter recovery thanks to their ability to capture information from complex data. One of these methods is the approximate Bayesian Neural Networks (BNNs) which…

Instrumentation and Methods for Astrophysics · Physics 2023-06-21 Héctor J. Hortúa , Luz Ángela García , Leonardo Castañeda C

We propose lookahead diffusion probabilistic models (LA-DPMs) to exploit the correlation in the outputs of the deep neural networks (DNNs) over subsequent timesteps in diffusion probabilistic models (DPMs) to refine the mean estimation of…

Artificial Intelligence · Computer Science 2023-04-25 Guoqiang Zhang , Niwa Kenta , W. Bastiaan Kleijn

The feature vector mapping used to represent chemical systems is a key factor governing the superior data-efficiency of kernel based quantum machine learning (QML) models applicable throughout chemical compound space. Unfortunately, the…

Chemical Physics · Physics 2023-08-02 Danish Khan , Stefan Heinen , O. Anatole von Lilienfeld

We use continuum mechanics [Tao \emph{et al}, PRL{\bf 103},086401] to approximate the dynamic density response of interacting many-electron systems. Thence we develop a numerically efficient exchange-correlation energy functional based on…

Mesoscale and Nanoscale Physics · Physics 2012-08-28 Tim Gould , John F. Dobson

The formally exact framework of equilibrium Density Functional Theory (DFT) is capable of simultaneously and consistently describing thermodynamic and structural properties of interacting many-body systems in arbitrary external potentials.…

The application of deep neural networks (DNNs) holds considerable promise as a substitute for the direct integration of chemical source terms in combustion simulations. However, challenges persist in ensuring high precision and…

Fluid Dynamics · Physics 2023-12-29 Han Li , Ruixin Yang , Min Zhang , Runze Mao , Zhi X. Chen

Quantum mechanical methods like Density Functional Theory (DFT) are used with great success alongside efficient search algorithms for studying kinetics of reactive systems. However, DFT is prohibitively expensive for large scale…

Computational Physics · Physics 2022-09-02 Mathias Schreiner , Arghya Bhowmik , Tejs Vegge , Peter Bjørn Jørgensen , Ole Winther

The systematic underestimation of band gaps is one of the most fundamental challenges in semilocal density functional theory (DFT). In addition to hindering the application of DFT to predicting electronic properties, the band gap problem is…

Chemical Physics · Physics 2024-08-27 Kyle Bystrom , Stefano Falletta , Boris Kozinsky