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A new approach for efficiently exploring the configuration space and computing the free energy of large atomic and molecular systems is proposed, motivated by an analogy with reinforcement learning. There are two major components in this…

Chemical Physics · Physics 2018-04-18 Linfeng Zhang , Han Wang , Weinan E

A path-integral formalism is proposed for studying the dynamical evolution in time of patterns in an artificial neural network in the presence of noise. An effective cost function is constructed which determines the unique global minimum of…

Statistical Mechanics · Physics 2009-11-10 J. Balakrishnan

Crystallization of proteins, specifically proteins of medical relevance, is performed for various reasons such as to understand the protein structure and to design therapies. Obtaining kinetic constants in rate laws for nucleation and…

Despite their great success, neural networks still remain as black-boxes due to the lack of interpretability. Here we propose a new analyzing method, namely the weight pathway analysis (WPA), to make them transparent. We consider weights in…

Machine Learning · Computer Science 2022-08-09 Sihan Feng , Yong Zhang , Fuming Wang , Hong Zhao

Dynamical Systems (DS) are fundamental to the modeling and understanding time evolving phenomena, and have application in physics, biology and control. As determining an analytical description of the dynamics is often difficult, data-driven…

Machine Learning · Computer Science 2022-11-23 Bernardo Fichera , Aude Billard

We report on a large scale computer simulation study of crystal nucleation in hard spheres. Through a combined analysis of real and reciprocal space data, a picture of a two-step crystallization process is supported: First dense, amorphous…

Soft Condensed Matter · Physics 2015-05-18 T. Schilling , H. J. Schope , M. Oettel , G. Opletal , I. Snook

While statistical mechanics provides a comprehensive framework for the understanding of equilibrium phase behavior, predicting the kinetics of phase transformations remains a challenge. Classical nucleation theory (CNT) provides a…

Statistical Mechanics · Physics 2019-06-12 David Richard , Thomas Speck

Inspired by biology's most sophisticated computer, the brain, neural networks constitute a profound reformulation of computational principles. Remarkably, analogous high-dimensional, highly-interconnected computational architectures also…

Disordered Systems and Neural Networks · Physics 2024-01-23 Constantine Glen Evans , Jackson O'Brien , Erik Winfree , Arvind Murugan

In the study of neurons, morphology influences function. The complexity in the structure of neurons poses a challenge in the identification and analysis of similar and dissimilar neuronal cells. Existing methodologies carry out structural…

Image and Video Processing · Electrical Eng. & Systems 2018-02-21 Tamal Batabyal , Scott T. Acton

Deep neural network architectures often consist of repetitive structural elements. We introduce an approach that reveals these patterns and can be broadly applied to the study of deep learning. Similarly to how a power strip helps untangle…

Statistical Mechanics · Physics 2025-07-03 Donghee Lee , Hye-Sung Lee , Jaeok Yi

Almost all the polymer crystals have several polymorphic modifications. Their structure and existence conditions, as well as transitions between them are not understood even in the case of the 'model' polymer polyethylene (PE). For analysis…

Materials Science · Physics 2011-09-06 Elena A. Zubova , Alexander V. Savin , Nikolay K. Balabaev

In recent years, deep learning has made remarkable strides, surpassing human capabilities in tasks like strategy games, and it has found applications in complex domains, including protein folding. In the realm of quantum chemistry, machine…

Chemical Physics · Physics 2024-01-09 Rhyan Barrett , Julia Westermayr

The use of machine learning algorithms is an attractive way to produce very fast detector simulations for scattering reactions that can otherwise be computationally expensive. Here we develop a factorised approach where we deal with each…

Data Analysis, Statistics and Probability · Physics 2022-07-26 D. Darulis , R. Tyson , D. G. Ireland , D. I. Glazier , B. McKinnon , P. Pauli

Tackling molecular optimization problems using conventional computational methods is challenging, because the determination of the optimized configuration is known to be an NP-hard problem. Recently, there has been increasing interest in…

Applied Physics · Physics 2021-08-24 Eshan Joshi , Samuel Somuyiwa , Hossein Z. Jooya

Phase change materials are exploited in several enabling technologies such as storage class memories, neuromorphic devices and memories embedded in microcontrollers. A key functional property for these applications is the fast crystal…

Materials Science · Physics 2025-01-14 Omar Abou El Kheir , Marco Bernasconi

A recently formulated description of homogeneous nucleation for Brownian particles in the over-damped limit based on fluctuating hydrodynamics is used to determine the nucleation pathway, characterized as the most likely path (MLP), for the…

Soft Condensed Matter · Physics 2012-10-18 James F. Lutsko

Recent advances in machine-learning interatomic potentials have enabled the efficient modeling of complex atomistic systems with an accuracy that is comparable to that of conventional quantum mechanics based methods. At the same time, the…

Materials Science · Physics 2021-05-06 April M. Miksch , Tobias Morawietz , Johannes Kästner , Alexander Urban , Nongnuch Artrith

Chemical mapping is a widespread technique for structural analysis of nucleic acids in which a molecule's reactivity to different probes is quantified at single-nucleotide resolution and used to constrain structural modeling. This…

Biomolecules · Quantitative Biology 2013-02-01 Pablo Cordero , Wipapat Kladwang , Christopher C. VanLang , Rhiju Das

Ferroelectric materials with switchable spontaneous polarization underpin non-volatile memories, transistors, sensors, and emerging neuromorphic chips. Their performance and stability are governed by polarization dynamics and domain…

Materials Science · Physics 2026-03-20 Dongyu Bai , Ri He , Junxian Liu , Liangzhi Kou

Molecular crystal structure prediction represents a grand challenge in computational chemistry due to large sizes of constituent molecules and complex intra- and intermolecular interactions. While generative modeling has revolutionized…

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