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The shape of a molecule determines its physicochemical and biological properties. However, it is often underrepresented in standard molecular representation learning approaches. Here, we propose using the Euler Characteristic Transform…

Machine Learning · Computer Science 2025-07-08 Victor Toscano-Duran , Florian Rottach , Bastian Rieck

We aim to investigate relationships between select processing parameters or inputs (composition, temperature, annealing time) and two structural parameters, specifically, the mean radius and volume fraction of the Fe$_3$Si nanocrystals. To…

Materials Science · Physics 2018-09-05 Rajesh Jha , Nirupam Chakraborti , David Diercks , Aaron Stebner , Cristian V. Ciobanu

AMORPH utilizes a new Bayesian statistical approach to interpreting X-ray diffraction results of samples with both crystalline and amorphous components. AMORPH fits X-ray diffraction patterns with a mixture of narrow and wide components,…

Data Analysis, Statistics and Probability · Physics 2018-08-15 Michael C. Rowe , Brendon J. Brewer

We introduce a generalized machine learning framework to probabilistically parameterize upper-scale models in the form of nonlinear PDEs consistent with a continuum theory, based on coarse-grained atomistic simulation data of mechanical…

Functional nanoparticles (NPs) have gained significant attention as a promising application in various fields, including sensor, smart coating, drug delivery, and more. Here, we propose a novel mechanism assisted by machine-learning…

Soft Condensed Matter · Physics 2024-08-06 Changhuang Huang , Kechun Bai , Yanyan Zhu , David Andelman , Xingkun Man

We consider the Bayesian calibration of models describing the phenomenon of block copolymer (BCP) self-assembly using image data produced by microscopy or X-ray scattering techniques. To account for the random long-range disorder in BCP…

Computational Physics · Physics 2022-06-24 Ricardo Baptista , Lianghao Cao , Joshua Chen , Omar Ghattas , Fengyi Li , Youssef M. Marzouk , J. Tinsley Oden

Over the past decade inter-atomic potentials based on machine-learning (ML) techniques have become an indispensable tool in the atomic-scale modeling of materials. Trained on energies and forces obtained from electronic-structure…

Materials Science · Physics 2022-08-15 Michele Ceriotti

3-D shape is important to chemistry, but how important? Machine learning works best when the inputs are simple and match the problem well. Chemistry datasets tend to be very small compared to those generally used in machine learning so we…

Machine Learning · Computer Science 2023-04-18 Ella Gale

Twisted multilayer graphene, characterized by its moir\'e patterns arising from inter-layer rotational misalignment, serves as a rich platform for exploring quantum phenomena. Machine learning interatomic potentials (MLIPs) are a promising…

The combination of modern scientific computing with electronic structure theory can lead to an unprecedented amount of data amenable to intelligent data analysis for the identification of meaningful, novel, and predictive structure-property…

We describe a framework for defining high-order image models that can be used in a variety of applications. The approach involves modeling local patterns in a multiscale representation of an image. Local properties of a coarsened image…

Computer Vision and Pattern Recognition · Computer Science 2014-12-15 Pedro F. Felzenszwalb , John G. Oberlin

Co-pyrolysis of biomass feedstocks with polymeric wastes is a promising strategy for improving the quantity and quality parameters of the resulting liquid fuel. Numerous experimental measurements are typically conducted to find the optimal…

In this study, a versatile methodology for initiating polymerization from monomers in highly cross-linked materials is investigated. As polymerization progresses, force-field parameters undergo continuous modification due to the formation…

Computational Engineering, Finance, and Science · Computer Science 2024-01-15 Wonseok Lee , Sanggyu Chong , Jihan Kim

In condensed matter physics and materials science, predicting material properties necessitates understanding intricate many-body interactions. Conventional methods such as density functional theory (DFT) and molecular dynamics (MD) often…

Materials Science · Physics 2023-11-17 Lalit Yadav

Machine learning models for functional materials design require precise and informative representations of material systems. Common representations encode atomic composition and bonding but often do not include local coordination…

Materials Science · Physics 2026-03-17 Anoj Aryal , Weiyi Gong , Huta Banjade , Qimin Yan

Atom probe tomography (APT) is ideally suited to characterize and understand the interplay of chemical segregation and microstructure in modern multicomponent materials. Yet, the quantitative analysis typically relies on human expertise to…

Vision Transformers have achieved impressive performance in many vision tasks. While the token mixer or attention block has been studied in great detail, much less research has been devoted to the channel mixer or feature mixing block (FFN…

Computer Vision and Pattern Recognition · Computer Science 2025-05-27 Deepak Sridhar , Yunsheng Li , Nuno Vasconcelos

Predicting self-assembly in multi-component amphiphilic systems is challenging due to the complexity of intercomponent interactions and the combinatorial growth of possible formulations. In this study, we develop a unified machine-learning…

Soft Condensed Matter · Physics 2025-12-24 Yuuki Ishiwatari , Takahiro Yokoyama , Tomoya Kojima , Taisuke Banno , Noriyoshi Arai

The increased energy and power density required in modern electronics poses a challenge for designing new dielectric polymer materials with high energy density while maintaining low loss at high applied electric fields. Recently, an…

This study proposes a methodology to utilize machine learning (ML) for topology optimization of periodic lattice structures. In particular, we investigate data representation of lattice structures used as input data for ML models to improve…

Optimization and Control · Mathematics 2024-11-22 Tomoya Matsuoka , Makoto Ohsaki , Kazuki Hayashi
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