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In density functional theory, charge density is the core attribute of atomic systems from which all chemical properties can be derived. Machine learning methods are promising in significantly accelerating charge density prediction, yet…

Computational Physics · Physics 2024-05-30 Xiang Fu , Andrew Rosen , Kyle Bystrom , Rui Wang , Albert Musaelian , Boris Kozinsky , Tess Smidt , Tommi Jaakkola

We introduce a statistical physics inspired supervised machine learning algorithm for classification and regression problems. The method is based on the invariances or stability of predicted results when known data is represented as…

Machine Learning · Statistics 2018-11-19 Patrick Chao , Tahereh Mazaheri , Bo Sun , Nicholas B. Weingartner , Zohar Nussinov

In this work, we explore the quantum chemical foundations of descriptors for molecular similarity. Such descriptors are key for traversing chemical compound space with machine learning. Our focus is on the Coulomb matrix and on the smooth…

Chemical Physics · Physics 2022-10-10 Stefan Gugler , Markus Reiher

The plasticity of amorphous solids undergoing shear is characterized by quasi-localized rearrangements of particles. While many models of plasticity exist, the precise relationship between plastic dynamics and the structure of a particle's…

Soft Condensed Matter · Physics 2024-06-12 Jason W. Rocks , Sean A. Ridout , Andrea J. Liu

Evaluating the (dis)similarity of crystalline, disordered and molecular compounds is a critical step in the development of algorithms to navigate automatically the configuration space of complex materials. For instance, a structural…

Materials Science · Physics 2020-02-06 Sandip De , Albert P. Bartók , Gábor Csányi , Michele Ceriotti

With the rapid expansion of applied 3D computational vision, shape descriptors have become increasingly important for a wide variety of applications and objects from molecules to planets. Appropriate shape descriptors are critical for…

Graphics · Computer Science 2019-01-10 Fereshteh S. Bashiri , Reihaneh Rostami , Peggy Peissig , Roshan M. D'Souza , Zeyun Yu

We introduce the proper orthogonal descriptors for efficient and accurate interatomic potentials of multi-element chemical systems. The potential energy surface of a multi-element system is represented as a many-body expansion of…

Chemical Physics · Physics 2024-05-01 Ngoc-Cuong Nguyen

We develop a Machine Learning Inversion method for analyzing scattering functions of mechanically driven polymers and extracting the corresponding feature parameters, which include energy parameters and conformation variables. The polymer…

Soft Condensed Matter · Physics 2025-11-21 Lijie Ding , Chi-Huan Tung , Bobby G. Sumpter , Wei-Ren Chen , Changwoo Do

A set of molecular descriptors whose length is independent of molecular size is developed for machine learning models that target thermodynamic and electronic properties of molecules. These features are evaluated by monitoring performance…

We probe the accuracy of linear ridge regression employing a three-body local density representation derived from the atomic cluster expansion. We benchmark the accuracy of this framework in the prediction of formation energies and atomic…

Computational Physics · Physics 2022-04-25 Claudio Zeni , Kevin Rossi , Aldo Glielmo , Stefano De Gironcoli

Deep compositional models of meaning acting on distributional representations of words in order to produce vectors of larger text constituents are evolving to a popular area of NLP research. We detail a compositional distributional…

Computation and Language · Computer Science 2015-08-14 Jianpeng Cheng , Dimitri Kartsaklis

Semisupervised methods inevitably invoke some assumption that links the marginal distribution of the features to the regression function of the label. Most commonly, the cluster or manifold assumptions are used which imply that the…

Statistics Theory · Mathematics 2011-12-02 Martin Azizyan , Aarti Singh , Larry Wasserman

The limited extrapolative power of structure-based machine learning (ML) models is a critical bottleneck in chemical discovery, particularly for industrial R&D, where navigating uncharted chemical space to find next-generation materials or…

One way to recognise an object is to study how the echo has been shaped during the interaction with the target. Wideband sonar allows the study of the energy distribution for a large range of frequencies. The frequency distribution contains…

Machine Learning · Statistics 2019-10-21 Mariia Dmitrieva , Keith E. Brown , Gary J. Heald , David M. Lane

We consider unsupervised learning methods for characterizing the disordered microscopic structure of supercooled liquids and glasses. Specifically, we perform dimensionality reduction of smooth structural descriptors that describe radial…

Statistical Mechanics · Physics 2022-11-24 Daniele Coslovich , Robert L. Jack , Joris Paret

Detecting and analyzing the local environment is crucial for investigating the dynamical processes of crystal nucleation and shape colloidal particle self-assembly. Recent developments in machine learning provide a promising avenue for…

Soft Condensed Matter · Physics 2023-12-20 Shih-Kuang , Lee , Sun-Ting Tsai , Sharon Glotzer

Machine-learned potentials (MLPs) trained on ab initio data combine the computational efficiency of classical interatomic potentials with the accuracy and generality of the first-principles method used in the creation of the respective…

Chemical Physics · Physics 2024-08-07 Leonid Kahle , Benoit Minisini , Tai Bui , Jeremy T. First , Corneliu Buda , Thomas Goldman , Erich Wimmer

Local decision rules are commonly understood to be more explainable, due to the local nature of the patterns involved. With numerical optimization methods such as gradient boosting, ensembles of local decision rules can gain good predictive…

Machine Learning · Computer Science 2025-08-27 Xin Du , Subramanian Ramamoorthy , Wouter Duivesteijn , Jin Tian , Mykola Pechenizkiy

Physics-based, atom-centered machine learning (ML) representations have been instrumental to the effective integration of ML within the atomistic simulation community. Many of these representations build off the idea of atoms as having…

Computational Physics · Physics 2024-03-29 Arthur Y. Lin , Kevin K. Huguenin-Dumittan , Yong-Cheol Cho , Jigyasa Nigam , Rose K. Cersonsky

The capacity of an embodied agent to understand, predict, and interact with its environment is fundamentally contingent on an internal world model. This paper introduces a novel framework for investigating the formation and adaptation of…

Neural and Evolutionary Computing · Computer Science 2025-11-05 Brennen Hill