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Obtaining high-quality labels is costly, whereas unlabeled covariates are often abundant, motivating semi-supervised inference methods with reliable uncertainty quantification. Prediction-powered inference (PPI) leverages a machine-learning…

机器学习 · 统计学 2026-05-29 Se Yoon Lee , Jae Kwang Kim

Bayesian methods have been very successful in quantifying uncertainty in physics-based problems in parameter estimation and prediction. In these cases, physical measurements y are modeled as the best fit of a physics-based model…

数据分析、统计与概率 · 物理学 2015-02-06 Dave Higdon , Jordan D. McDonnell , Nicolas Schunck , Jason Sarich , Stefan M. Wild

Autonomous Experimentation Platforms (AEPs) are advanced manufacturing platforms that, under intelligent control, can sequentially search the material design space (MDS) and identify parameters with the desired properties. At the heart of…

机器学习 · 计算机科学 2023-02-28 Ahmed Shoyeb Raihan , Imtiaz Ahmed

Scientific software is often driven by multiple parameters that affect both accuracy and performance. Since finding the optimal configuration of these parameters is a highly complex task, it extremely common that the software is used…

计算工程、金融与科学 · 计算机科学 2016-08-17 Diego Fabregat-Traver , Ahmed E. Ismail , Paolo Bientinesi

Critical decisions frequently rely on high-dimensional output from complex computer simulation models that show intricate cross-variable, spatial and temporal dependence structures, with weather and climate predictions being key examples.…

统计方法学 · 统计学 2013-12-24 Roman Schefzik , Thordis L. Thorarinsdottir , Tilmann Gneiting

Bayesian methods are increasingly being applied to parameterize mechanistic process models used in environmental prediction and forecasting. In particular, models describing ecosystem dynamics with multiple states that are linear and…

应用统计 · 统计学 2021-10-19 John W. Smith , Leah R. Johnson , Robert Q. Thomas

We present procedures based on Bayesian statistics for estimating, from data, the parameters of effective field theories (EFTs). The extraction of low-energy constants (LECs) is guided by theoretical expectations in a quantifiable way…

核理论 · 物理学 2016-06-22 S. Wesolowski , N. Klco , R. J. Furnstahl , D. R. Phillips , A. Thapaliya

High entropy alloys (HEAs) have been increasingly attractive as promising next-generation materials due to their various excellent properties. It's necessary to essentially characterize the degree of chemical ordering and identify…

材料科学 · 物理学 2019-08-13 Jiaxin Zhang , Xianglin Liu , Sirui Bi , Junqi Yin , Guannan Zhang , Markus Eisenbach

Accurate prediction of thermodynamic properties is pivotal in chemical engineering for optimizing process efficiency and sustainability. Physical group-contribution (GC) methods are widely employed for this purpose but suffer from…

化学物理 · 物理学 2025-01-28 Nicolas Hayer , Thorsten Wendel , Stephan Mandt , Hans Hasse , Fabian Jirasek

We consider efficient estimation of the Euclidean parameters in a generalized partially linear additive models for longitudinal/clustered data when multiple covariates need to be modeled nonparametrically, and propose an estimation…

统计理论 · 数学 2014-02-05 Guang Cheng , Lan Zhou , Jianhua Z. Huang

In the process of reproducing the state dynamics of parameter dependent distributed systems, data from physical measurements can be incorporated into the mathematical model to reduce the parameter uncertainty and, consequently, improve the…

数值分析 · 数学 2022-10-06 Francesco A. B. Silva , Cecilia Pagliantini , Martin Grepl , Karen Veroy

Machine learning force fields (MLFFs) are a promising approach to balance the accuracy of quantum mechanics with the efficiency of classical potentials, yet selecting an optimal model amid increasingly diverse architectures that delivers…

机器学习 · 计算机科学 2025-12-09 Bangchen Yin , Yue Yin , Yuda W. Tang , Hai Xiao

Characterizing quantum phases-of-matter at finite-temperature is essential for understanding complex materials and large-scale thermodynamic phenomena. Here, we develop algorithmic protocols for simulating quantum thermodynamics on quantum…

We propose a novel approach for constructing training databases for Machine-Learned Interatomic Potential (MLIP) models, specifically designed to capture phase properties across a wide range of conditions. The framework is uniquely…

材料科学 · 物理学 2025-12-03 Vincent G. Fletcher , Albert P. Bartók , Livia B. Pártay

Phase diagrams serve as a highly informative tool for materials design, encapsulating information about the phases that a material can manifest under specific conditions. In this work, we develop a method in which Bayesian inference is…

材料科学 · 物理学 2023-09-06 Timofei Miryashkin , Olga Klimanova , Vladimir Ladygin , Alexander Shapeev

Knowledge of phase diagrams is essential for material design as it helps in understanding microstructure evolution during processing. The determination of phase diagrams is thus one of the central tasks in materials science. When exploring…

材料科学 · 物理学 2022-03-08 Guillaume Deffrennes , Kei Terayama , Taichi Abe , Ryo Tamura

We extend and benchmark the recently-developed Effective-Hamiltonian (EFFH) method [PRX Quantum $\bf{4}$, 020307 (2023)] as an approximation to the equilibrium state ("mean-force Gibbs state") of a quantum system at strong coupling to a…

统计力学 · 物理学 2023-10-03 Nicholas Anto-Sztrikacs , Brett Min , Marlon Brenes , Dvira Segal

Protein dynamics play a crucial role in protein biological functions and properties, and their traditional study typically relies on time-consuming molecular dynamics (MD) simulations conducted in silico. Recent advances in generative…

生物大分子 · 定量生物学 2025-06-02 Jiarui Lu , Xiaoyin Chen , Stephen Zhewen Lu , Aurélie Lozano , Vijil Chenthamarakshan , Payel Das , Jian Tang

The accuracy of Earth system models is compromised by unknown and/or unresolved dynamics, making the quantification of systematic model errors essential. While a model parameter estimation, which allows parameters to change…

统计方法学 · 统计学 2023-10-04 Yohei Sawada , Le Duc

An exact approach to compute physical properties for general multi-electronic-state (MES) systems in thermal equilibrium is presented. The approach is extended from our recent progress on path integral molecular dynamics (PIMD) [J. Chem.…

化学物理 · 物理学 2017-11-22 Xinzijian Liu , Jian Liu