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We present a quantitative measure of physical complexity, based on the amount of information required to build a given physical structure through self-assembly. Our procedure can be adapted to any given geometry, and thus to any given type…

Statistical Mechanics · Physics 2010-09-02 S. E. Ahnert , I. G. Johnston , T. M. A. Fink , J. P. K. Doye , A. A. Louis

Topological phases of matter$\unicode{x2013}$comprising both insulators and semimetals$\unicode{x2013}$offer great potential for quantum applications, but identifying new candidates remains challenging due to expensive first-principles…

Materials Science · Physics 2026-04-08 Xinyu Xu , Arif Ullah , Ming Yang

This chapter presents an innovative framework for the application of machine learning and data analytics for the identification of alloys or composites exhibiting certain desired properties of interest. The main focus is on alloys and…

Materials Science · Physics 2020-12-15 Baldur Steingrimsson , Xuesong Fan , Anand Kulkarni , Michael C. Gao , Peter K. Liaw

The micromechanics of a variety of systems experiencing a structural arrest due to their high density could be unified by a thermodynamic framework governing their approach to 'jammed' configurations. The mechanism of supporting an applied…

Soft Condensed Matter · Physics 2007-05-23 Jasna Brujic , Sam F. Edwards , Ian Hopkinson , Hernan A. Makse

In this work we explore the possibility of using sparse statistical modeling in condensed matter physics. The procedure is employed to two well known problems: elemental superconductors and heavy fermions, and was shown that in most cases…

Superconductivity · Physics 2026-01-21 J. McGee , S. V. Dordevic

We show that density models describing multiple observables with (i) hard boundaries and (ii) dependence on external parameters may be created using an auto-regressive Gaussian mixture model. The model is designed to capture how observable…

Data Analysis, Statistics and Probability · Physics 2022-02-01 Stephen B. Menary , Darren D. Price

We investigate numerically the identification of relevant structural features that contribute to the dynamical heterogeneity in a model glass-forming liquid. By employing the recently proposed information imbalance technique, we select…

Soft Condensed Matter · Physics 2024-11-14 Anand Sharma , Chen Liu , Misaki Ozawa

While many good textbooks are available on Protein Structure, Molecular Simulations, Thermodynamics and Bioinformatics methods in general, there is no good introductory level book for the field of Structural Bioinformatics. This book aims…

Optimized sensing is important for computational imaging in low-resource environments, when images must be recovered from severely limited measurements. In this paper, we propose a physics-constrained, fully differentiable, autoencoder that…

Image and Video Processing · Electrical Eng. & Systems 2020-03-24 He Sun , Adrian V. Dalca , Katherine L. Bouman

Spatial classification with limited feature observations has been a challenging problem in machine learning. The problem exists in applications where only a subset of sensors are deployed at certain spots or partial responses are collected…

Machine Learning · Computer Science 2020-09-03 Arpan Man Sainju , Wenchong He , Zhe Jiang , Da Yan , Haiquan Chen

Learning Spaces are certain set systems that are applied in the mathematical modeling of education. We propose a suitable compression (without loss of information) of such set systems to facilitate their logical and statistical analysis.…

Data Structures and Algorithms · Computer Science 2017-08-14 Marcel Wild

Materials with thickness ranging from a few nanometers to a single atomic layer present unprecedented opportunities to investigate new phases of matter constrained to the two-dimensional plane.Particle-particle Coulomb interaction is…

Mesoscale and Nanoscale Physics · Physics 2021-10-27 A. Carvalho , P. E. Trevisanutto , S. Taioli , A. H. Castro Neto

Force chains form heterogeneous physical structures that can constrain the mechanical stability and acoustic transmission of granular media. However, despite their relevance for predicting bulk properties of materials, there is no agreement…

Soft Condensed Matter · Physics 2015-04-24 Danielle S. Bassett , Eli T. Owens , Mason A. Porter , M. Lisa Manning , Karen E. Daniels

When characterizing materials, it can be important to not only predict their mechanical properties, but also to estimate the probability distribution of these properties across a set of samples. Constitutive neural networks allow for the…

Computational Engineering, Finance, and Science · Computer Science 2025-03-18 Jeremy A. McCulloch , Ellen Kuhl

Discovery of the molecular candidates for applications in drug targets, biomolecular systems, catalysts, photovoltaics, organic electronics, and batteries, necessitates development of machine learning algorithms capable of rapid exploration…

Machine Learning · Computer Science 2023-12-12 Ayana Ghosh , Sergei V. Kalinin , Maxim A. Ziatdinov

The use of machine learning methods for accelerating the design of crystalline materials usually requires manually constructed feature vectors or complex transformation of atom coordinates to input the crystal structure, which either…

Materials Science · Physics 2018-04-10 Tian Xie , Jeffrey C. Grossman

This paper presents a data processing pipeline designed to extract information from the hyperspectral signature of unknown space objects. The methodology proposed in this paper determines the material composition of space objects from…

Instrumentation and Methods for Astrophysics · Physics 2024-01-30 Massimiliano Vasile , Lewis Walker , Andrew Campbell , Simao Marto , Paul Murray , Stephen Marshall , Vasili Savitski

Accurate structural analysis is essential to gain physical knowledge and understanding of atomic-scale processes in materials from atomistic simulations. However, traditional analysis methods often reach their limits when applied to…

This philosophical paper proposes a modified version of the scientific method, in which large databases are used instead of experimental observations as the necessary empirical ingredient. This change in the source of the empirical data…

Computer Vision and Pattern Recognition · Computer Science 2010-05-31 Daniel Burfoot

Machine learning has become a crucial tool for predicting the properties of crystalline materials. However, existing methods primarily represent material information by constructing multi-edge graphs of crystal structures, often overlooking…

Machine Learning · Computer Science 2024-11-14 Chao Huang , Chunyan Chen , Ling Shi , Chen Chen
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