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Large-scale atomistic simulations of materials heavily rely on interatomic potentials, which predict the system energy and atomic forces. One of the recent developments in the field is constructing interatomic potentials by machine-learning…

Materials Science · Physics 2022-02-09 Yi-Shen Lin , Ganga P. Purja Pun , Yuri Mishin

An adaptive modeling method (AMM) that couples a deep neural network potential and a classical force field is introduced to address the accuracy-efficiency dilemma faced by the molecular simulation community. The AMM simulated system is…

Chemical Physics · Physics 2018-11-14 Linfeng Zhang , Han Wang , Weinan E

All-optical neural networks (AONNs) have emerged as a promising paradigm for ultrafast and energy-efficient computation. These networks typically consist of multiple serially connected layers between input and output layers--a configuration…

Optics · Physics 2025-12-01 Jianwei Qin , Yanbing Liu , Yan Liu , Xun Liu , Wei Li , Fangwei Ye

Having reliable specifications is an unavoidable challenge in achieving verifiable correctness, robustness, and interpretability of AI systems. Existing specifications for neural networks are in the paradigm of data as specification. That…

Machine Learning · Computer Science 2023-03-20 Chuqin Geng , Nham Le , Xiaojie Xu , Zhaoyue Wang , Arie Gurfinkel , Xujie Si

Neural additive models (NAMs) enhance the transparency of deep neural networks by handling input features in separate additive sub-networks. However, they lack inherent mechanisms that provide calibrated uncertainties and enable selection…

Machine Learning · Statistics 2024-10-29 Kouroche Bouchiat , Alexander Immer , Hugo Yèche , Gunnar Rätsch , Vincent Fortuin

This paper proposes a novel acoustic word embedding called Acoustic Neighbor Embeddings where speech or text of arbitrary length are mapped to a vector space of fixed, reduced dimensions by adapting stochastic neighbor embedding (SNE) to…

Audio and Speech Processing · Electrical Eng. & Systems 2022-01-10 Woojay Jeon

Machine learning (ML) has become widely used in the development of interatomic potentials for molecular dynamics simulations. However, most ML potentials are still much slower than classical interatomic potentials and are usually trained…

Materials Science · Physics 2024-08-29 Aslak Fellman , Jesper Byggmästar , Fredric Granberg , Kai Nordlund , Flyura Djurabekova

An appropriateness of a space asymmetry of shape invariant potentials with scaling of parameters and potentials of Shabat and Spiridonov in calculation of their forms, wave functions and discrete energy spectra has proved and has…

High Energy Physics - Theory · Physics 2007-05-23 Sergei P. Maydanyuk , Liliya M. Saryan

Accurate simulations of materials at long-time and large-length scales have increasingly been enabled by Machine-learned Interatomic Potentials (MLIPs). There have been increasing interest on improving the robustness of such models. To this…

Materials Science · Physics 2024-07-10 Ji Wei Yoon , Bangjian Zhou , J Senthilnath

A method, recently devised to obtain analytical approximations to certain classes of integrals, is used in combination with the WKB expansion to derive accurate analytical expressions for the spectrum of quantum potentials. The accuracy of…

High Energy Physics - Phenomenology · Physics 2009-11-11 Paolo Amore , Arturo De Pace , Jorge Lopez

Finding shape correspondences can be formulated as an NP-hard quadratic assignment problem (QAP) that becomes infeasible for shapes with high sampling density. A promising research direction is to tackle such quadratic optimization problems…

Computer Vision and Pattern Recognition · Computer Science 2021-08-20 Marcel Seelbach Benkner , Zorah Lähner , Vladislav Golyanik , Christof Wunderlich , Christian Theobalt , Michael Moeller

We introduce a class of interatomic potential models that can be automatically generated from data consisting of the energies and forces experienced by atoms, derived from quantum mechanical calculations. The resulting model does not have a…

Computational Physics · Physics 2015-05-14 Albert P. Bartók , Mike C. Payne , Risi Kondor , Gábor Csányi

Machine learning potentials (MLPs) are becoming powerful tools for performing accurate atomistic simulations and crystal structure optimizations. An approach to developing MLPs employs a systematic set of polynomial invariants including…

Computational Physics · Physics 2020-11-18 Atsuto Seko

Machine-learned interatomic potentials can offer near first-principles accuracy but are computationally expensive, limiting their application to large-scale molecular dynamics simulations. Inspired by quantum mechanics/molecular mechanics…

Materials Science · Physics 2025-11-21 Fraser Birks , Matthew Nutter , Thomas D Swinburne , James R Kermode

Spiking Neural Networks (SNNs) offer a more energy-efficient alternative to Artificial Neural Networks (ANNs) by mimicking biological neural principles, establishing them as a promising approach to mitigate the increasing energy demands of…

Machine Learning · Computer Science 2025-02-24 Velibor Bojković , Xiaofeng Wu , Bin Gu

Extensions of singular spectrum analysis (SSA) for processing of non-rectangular images and time series with gaps are considered. A circular version is suggested, which allows application of the method to the data given on a circle or on a…

Methodology · Statistics 2015-07-13 Alex Shlemov , Nina Golyandina

We describe the development of machine-learned potentials of atmospheric gases with flexible monomers for molecular simulations. A recently suggested permutationally invariant polynomial neural network (PIP-NN) approach is utilized to…

Chemical Physics · Physics 2025-04-21 Artem Finenko

Purpose: To propose an alternating learning approach to learn the sampling pattern (SP) and the parameters of variational networks (VN) in accelerated parallel magnetic resonance imaging (MRI). Methods: The approach alternates between…

Image and Video Processing · Electrical Eng. & Systems 2021-10-29 Marcelo V. W. Zibetti , Florian Knoll , Ravinder R. Regatte

Spiking Neural Networks (SNNs), providing more realistic neuronal dynamics, have been shown to achieve performance comparable to Artificial Neural Networks (ANNs) in several machine learning tasks. Information is processed as spikes within…

Neural and Evolutionary Computing · Computer Science 2025-07-01 Jiaqi Lin , Sen Lu , Malyaban Bal , Abhronil Sengupta

Machine learning interatomic potentials are revolutionizing large-scale, accurate atomistic modelling in material science and chemistry. Many potentials use atomic cluster expansion or equivariant message passing frameworks. Such frameworks…

Computational Physics · Physics 2024-07-31 Bingqing Cheng