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As the development of measuring instruments and computers has accelerated the collection of massive amounts of data, functional data analysis (FDA) has experienced a surge of attention. The FDA methodology treats longitudinal data as a set…

Methodology · Statistics 2024-07-09 Tomoya Wakayama , Hidetoshi Matsui

We introduce a new method, called CNNAS (convolutional neural networks for atomistic systems), for calculating the total energy of atomic systems which rivals the computational cost of empirical potentials while maintaining the accuracy of…

Materials Science · Physics 2018-03-21 Kevin Ryczko , Kyle Mills , Iryna Luchak , Christa Homenick , Isaac Tamblyn

Density functional theory (DFT) is a widespread and effective tool in electronic structure calculations for ground-state electron systems. Its success has prompted exploration into the use of DFT for non-collective excited states. The delta…

Chemical Physics · Physics 2025-08-12 Ethan Pollack , Rohan Maniar , John P. Perdew

We present our novel evolutionary algorithm for generating Special Quasirandom Structures (SQS) designed to optimize the computational efficiency of Density Functional Theory (DFT) computations. Operating on the premise that symmetry…

Disordered Systems and Neural Networks · Physics 2026-02-12 Andrzej P. Kądzielawa

We explore full-shape analysis with simulation-based priors, which is the simplest approach to galaxy clustering data analysis that combines effective field theory (EFT) on large scales and numerical simulations on small scales. The core…

Cosmology and Nongalactic Astrophysics · Physics 2025-03-10 Mikhail M. Ivanov , Andrej Obuljen , Carolina Cuesta-Lazaro , Michael W. Toomey

While standard computational protocols for density functional theory (DFT) have universal applicability, differences exist in code implementations. Specific applications require manual parameter optimization, whereas high-throughput…

Materials Science · Physics 2025-08-12 Chenxi Lu , Musen Li , Jeffrey R. Reimers

Conditional density estimation (CDE) - recovering the full conditional distribution of a response given tabular covariates - is essential in settings with heteroscedasticity, multimodality, or asymmetric uncertainty. Recent tabular…

Machine Learning · Computer Science 2026-03-30 Rafael Izbicki , Pedro L. C. Rodrigues

Density Functional Theory (DFT) is used extensively in the computation of electronic properties of matter, with various applications. Approximating the exchange-correlation (XC) functional is the key to the Kohn-Sham DFT approach, the basis…

Materials Science · Physics 2025-03-17 Sameerah Helal , Zhe Tao , Cindy Rubio-González , Francois Gygi , Aditya V. Thakur

The ratio of two densities provides a direct characterization of their differences. We consider the two-sample comparison problem by estimating this ratio given i.i.d. observations from two distributions. To this end, we propose additive…

Methodology · Statistics 2026-04-23 Naoki Awaya , Yuliang Xu , Li Ma

The Effective Field Theory of Large-Scale Structure (EFTofLSS) is a formalism that allows us to predict the clustering of Cosmological Large-Scale Structure in the mildly non-linear regime in an accurate and reliable way. After validating…

Cosmology and Nongalactic Astrophysics · Physics 2020-05-20 Guido D'Amico , Jérôme Gleyzes , Nickolas Kokron , Dida Markovic , Leonardo Senatore , Pierre Zhang , Florian Beutler , Héctor Gil-Marín

Classical density functional theory (cDFT) provides a systematic approach to predict the structure and thermodynamic properties of chemical systems through the single-molecule density profiles. Whereas the statistical-mechanical framework…

Chemical Physics · Physics 2024-11-07 Jinni Yang , Runtong Pan , Jikai Sun , Jianzhong Wu

Though calculations based on density functional theory (DFT) are used remarkably widely in chemistry, physics, materials science, and biomolecular research and though the modern form of DFT has been studied for almost 60 years, some…

The accurate description of open-shell molecules, in particular of transition metal complexes and clusters, is still an important challenge for quantum chemistry. While density-functional theory (DFT) is widely applied in this area, the…

Chemical Physics · Physics 2012-10-26 Christoph R. Jacob , Markus Reiher

Quantum computers open up new avenues for modelling the physical properties of materials and molecules. Density Functional Theory (DFT) is the gold standard classical algorithm for predicting these properties, but relies on approximations…

Quantum Physics · Physics 2024-02-29 Evan Sheridan , Lana Mineh , Raul A. Santos , Toby Cubitt

We review the role of self-consistency in density functional theory. We apply a recent analysis to both Kohn-Sham and orbital-free DFT, as well as to Partition-DFT, which generalizes all aspects of standard DFT. In each case, the analysis…

Chemical Physics · Physics 2016-11-22 Adam Wasserman , Jonathan Nafziger , Kaili Jiang , Min-Cheol Kim , Eunji Sim , Kieron Burke

In this paper, we study the fundamental statistical efficiency of Reinforcement Learning in Mean-Field Control (MFC) and Mean-Field Game (MFG) with general model-based function approximation. We introduce a new concept called Mean-Field…

Machine Learning · Computer Science 2024-10-04 Jiawei Huang , Batuhan Yardim , Niao He

Real-time time-dependent density functional theory (TDDFT) is widely considered to be the most accurate available method for calculating electronic stopping powers from first principles, but there have been relatively few assessments of the…

Computational Physics · Physics 2024-01-18 Alina Kononov , Alexander J. White , Katarina A. Nichols , S. X. Hu , Andrew D. Baczewski

Density functional theory (DFT) plays a pivotal role for the chemical and materials science due to its relatively high predictive power, applicability, versatility and computational efficiency. We review recent progress in machine learning…

Chemical Physics · Physics 2023-08-09 Bing Huang , Guido Falk von Rudorff , O. Anatole von Lilienfeld

Evolutionary algorithms for molecular design require computationally efficient yet accurate fitness functions. We systematically benchmark Hartree-Fock and density functional theory for predicting molecular first hyperpolarizability…

Chemical Physics · Physics 2026-04-24 Dominic Mashak , S. A. Alexander

We present techniques for estimating the effects of systematic uncertainties in unbinned data analyses at the LHC. Our primary focus is constraining the Wilson coefficients in the standard model effective field theory (SMEFT), but the…

High Energy Physics - Phenomenology · Physics 2025-01-15 Robert Schöfbeck