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The smooth particle mesh Ewald (SPME) method is the standard method for computing the electrostatic interactions in the molecular simulations. In this work, the multiple staggered mesh Ewald (MSME) method is proposed to boost the accuracy…

Computational Physics · Physics 2016-07-15 Han Wang , Xingyu Gao , Jun Fang

We consider the problem of calibrating an imperfect computer model using experimental data. To compensate the misspecification of the computer model and make more accurate predictions, a discrepancy function is often included and modeled…

Methodology · Statistics 2018-05-04 Mengyang Gu , Long Wang

We present the method of the self-consistent calculation of thermodynamical and correlation functions. This approach is based on the GRPA (generalized random phase approximation) scheme with the inclusion of the mean field corrections.…

Statistical Mechanics · Physics 2016-08-31 I. V. Stasyuk , A. M. Shvaika , K. V. Tabunshchyk

The thermal sensitive electrical parameter (TSEP) method is crucial for enhancing the reliability of power devices through junction temperature monitoring. The TSEP method comprises three key processes: calibration, regression, and…

Machine Learning · Computer Science 2025-01-10 Qinghao Zhang , Wenrui Li , Pinjia Zhang

Subject-specific modeling is a powerful tool in cardiovascular research, providing insights beyond the reach of current clinical diagnostics. Limitations in available clinical data require the incorporation of uncertainty into models to…

Applications · Statistics 2025-07-16 Amirreza Kachabi , Sofia Altieri Correa , Naomi C. Chesler , Mitchel J. Colebank

The issue of discrete probability estimation for samples of small size is addressed in this study. The maximum likelihood method often suffers over-fitting when insufficient data is available. Although the Bayesian approach can avoid…

Machine Learning · Computer Science 2012-12-13 Takashi Isozaki

This work introduces an efficient novel approach for epistemic uncertainty estimation for ensemble models for regression tasks using pairwise-distance estimators (PaiDEs). Utilizing the pairwise-distance between model components, these…

Machine Learning · Computer Science 2025-09-29 Lucas Berry , David Meger

This work introduces the Supervised Expectation-Maximization Framework (SEMF), a versatile and model-agnostic approach for generating prediction intervals with any ML model. SEMF extends the Expectation-Maximization algorithm, traditionally…

Machine Learning · Statistics 2025-09-30 Ilia Azizi , Marc-Olivier Boldi , Valérie Chavez-Demoulin

A fundamental and intrinsic property of any device or natural system is its relaxation time relax, which is the time it takes to return to equilibrium after the sudden change of a control parameter [1]. Reducing $tau$ relax , is frequently…

Statistical Mechanics · Physics 2016-10-25 Ignacio Martinez , Artyom Petrosyan , David Guéry-Odelin , Emmanuel Trizac , Sergio Ciliberto

Calculating sublimation enthalpies of molecular crystal polymorphs is relevant to a wide range of technological applications. However, predicting these quantities at first-principles accuracy -- even with the aid of machine learning…

While the enormous parameter scale endows Large Models (LMs) with unparalleled performance, it also limits their adaptability across specific tasks. Parameter-Efficient Fine-Tuning (PEFT) has emerged as a critical approach for effectively…

Machine Learning · Computer Science 2025-12-22 Dong Chen , Zhengqing Hu , Shixing Zhao , Yibo Guo

Single-phase body-centered cubic (BCC) refractory multi-principal element alloys (RMPEAs) offer potential for developing alloys with exceptional strength. However, the compositional design space is immense. Exhaustively mapping this space…

Materials Science · Physics 2025-08-22 A. K. Shargh , C. D. Stiles , J. A. El-Awady

Predictions of relative stabilities of (competing) molecular crystals are of great technological relevance, most notably for the pharmaceutical industry. However, they present a long-standing challenge for modeling, as often minuscule free…

Materials Science · Physics 2022-05-25 Venkat Kapil , Edgar A Engel

Battery management systems may rely on mathematical models to provide higher performance than standard charging protocols. Electrochemical models allow us to capture the phenomena occurring inside a lithium-ion cell and therefore, could be…

Computational Engineering, Finance, and Science · Computer Science 2020-05-12 Andrea Pozzi , Xiangzhong Xie , Davide M Raimondo , René Schenkendorf

Deep learning is a powerful tool to represent subgrid processes in climate models, but many application cases have so far used idealized settings and deterministic approaches. Here, we develop stochastic parameterizations with calibrated…

Gaussian process state-space models (GP-SSMs) are a very flexible family of models of nonlinear dynamical systems. They comprise a Bayesian nonparametric representation of the dynamics of the system and additional (hyper-)parameters…

Machine Learning · Statistics 2013-12-18 Roger Frigola , Fredrik Lindsten , Thomas B. Schön , Carl E. Rasmussen

This manuscript presents verification cases that are developed to study the electrothermal instability (ETI). Specific verification cases are included to ensure that the unit physics components necessary to model the ETI are accurate,…

Plasma Physics · Physics 2021-03-10 R. L. Masti , C. L. Ellison , J. R. King , P. H. Stoltz , B. Srinivasan

The use of partition function zeros in the study of phase transition is growing in the last decade mainly due to improved numerical methods as well as novel formulations and analysis. In this paper the impact of different parameters choice…

Statistical Mechanics · Physics 2021-12-08 R. G. M. Rodrigues , B. V. Costa , L. A. S. Mól

There is an increasing interest in mesoscale eddy parameterizations that are scale-aware, normally interpreted to mean that a parameterization does not require re-tuning of parameters as the model resolution changes. Here we examine whether…

Atmospheric and Oceanic Physics · Physics 2024-02-07 Julian Mak , James R. Maddison , David P. Marshall , Xi Ruan , Yan Wang , Liiyung Yeow

The ensemble empirical mode decomposition (EEMD) and its complete variant (CEEMDAN) are adaptive, noise-assisted data analysis methods that improve on the ordinary empirical mode decomposition (EMD). All these methods decompose possibly…

Computation · Statistics 2017-07-04 P. J. J. Luukko , J. Helske , E. Räsänen
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