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The main focus of the analysts who deal with clustered data is usually not on the clustering variables, and hence the group-specific parameters are treated as nuisance. If a fixed effects formulation is preferred and the total number of…

统计方法学 · 统计学 2019-01-01 Claudia Di Caterina , Giuliana Cortese , Nicola Sartori

Quantum Monte Carlo (QMC) methods are one of the most important tools for studying interacting quantum many-body systems. The vast majority of QMC calculations in interacting fermion systems require a constraint to control the sign problem.…

强关联电子 · 物理学 2016-12-08 Mingpu Qin , Hao Shi , Shiwei Zhang

Computational modeling of contact is fundamental to many engineering applications, yet accurately and efficiently solving complex contact problems remains challenging. In this work, we propose a new contact algorithm that computes contact…

计算工程、金融与科学 · 计算机科学 2025-09-11 Xinyu Wang , Weipeng Xu , Tianju Xue

We extend correlated sampling from classical auxiliary-field quantum Monte Carlo to the quantum-classical (QC-AFQMC) framework, enabling accurate nuclear force computations crucial for geometry optimization and reaction dynamics. Stochastic…

Monte Carlo simulations are a powerful tool to investigate the thermodynamic properties of atomic systems. In practice however, sampling of the complete configuration space is often hindered by high energy barriers between different regions…

统计力学 · 物理学 2020-05-04 Jonas A. Finkler , Stefan Goedecker

This article reviews the application of advanced Monte Carlo techniques in the context of Multilevel Monte Carlo (MLMC). MLMC is a strategy employed to compute expectations which can be biased in some sense, for instance, by using the…

统计计算 · 统计学 2017-04-25 Ajay Jasra , Kody Law , Carina Suciu

We investigate the accuracy of a number of wavefunction based methods at the heart of quantum chemistry for metallic systems. Using Hartree-Fock as a reference, perturbative (M{\o}ller-Plesset, MP) and coupled cluster (CC) theories are used…

化学物理 · 物理学 2013-10-24 James J. Shepherd , Andreas Grüneis

Quantum-selected configuration interaction (QSCI) is a novel quantum-classical hybrid algorithm for quantum chemistry calculations. This method identifies electron configurations having large weights for the target state using quantum…

化学物理 · 物理学 2025-03-31 Soichi Shirai , Shih-Yen Tseng , Hokuto Iwakiri , Takahiro Horiba , Hirotoshi Hirai , Sho Koh

By adopting a Multilevel Monte Carlo (MLMC) framework, we show that only a handful of costly fine scale computations are needed to accurately estimate statistics of the failure of a composite structure, as opposed to the thousands typically…

数值分析 · 数学 2019-07-25 T. J. Dodwell , S. Kinston , R. Butler , R. T. Haftka , Nam H. Kim , R. Scheichl

Markov chain Monte Carlo (MCMC) is an established approach for uncertainty quantification and propagation in scientific applications. A key challenge in applying MCMC to scientific domains is computation: the target density of interest is…

机器学习 · 统计学 2022-10-05 Diana Cai , Ryan P. Adams

Tethering methods allow us to perform Monte Carlo simulations in ensembles with conserved quantities. Specifically, one couples a reservoir to the physical magnitude of interest, and studies the statistical ensemble where the total…

统计力学 · 物理学 2011-08-29 V. Martin-Mayor , B. Seoane , D. Yllanes

A review of the coupled cluster method (CCM) applied to lattice quantum spin systems is presented here. The CCM formalism is explained and an application to the spin-half {\it XXZ} model on the square lattice is presented. Low orders of…

强关联电子 · 物理学 2007-05-23 D. J. J. Farnell , R. F. Bishop

One of the primary challenges in quantum chemistry is the accurate modeling of strong electron correlation. While multireference methods effectively capture such correlation, their steep scaling with system size prohibits their application…

Modern battery materials can contain many elements with substantial site disorder, and their configurational state has been shown to be critical for their performance. The intercalation voltage profile is a critical parameter to evaluate…

材料科学 · 物理学 2023-07-10 Peichen Zhong , Fengyu Xie , Luis Barroso-Luque , Liliang Huang , Gerbrand Ceder

The shell model Monte Carlo (SMMC) approach provides a powerful method for the microscopic calculation of statistical and collective nuclear properties in model spaces that are many orders of magnitude larger than those that can be treated…

核理论 · 物理学 2015-06-11 Y. Alhassid , A. Mukherjee , H. Nakada , C. Özen

A major challenge facing existing sequential Monte-Carlo methods for parameter estimation in physics stems from the inability of existing approaches to robustly deal with experiments that have different mechanisms that yield the results…

量子物理 · 物理学 2017-09-13 Christopher Granade , Nathan Wiebe

Quantum computers have a potential for solving quantum chemistry problems with higher accuracy than classical computers. Quantum computing quantum Monte Carlo (QC-QMC) is a QMC with a trial state prepared in quantum circuit, which is…

量子物理 · 物理学 2024-06-07 Shu Kanno , Hajime Nakamura , Takao Kobayashi , Shigeki Gocho , Miho Hatanaka , Naoki Yamamoto , Qi Gao

Multivariate shortfall risk measures provide a principled framework for quantifying systemic risk and determining capital allocations prior to aggregation in interconnected financial systems. Despite their well established theoretical…

计算金融 · 定量金融 2026-03-09 Chiheb Ben Hammouda , Truong Ngoc Nguyen

Hierarchical clustering recursively partitions data at an increasingly finer granularity. In real-world applications, multi-view data have become increasingly important. This raises a less investigated problem, i.e., multi-view hierarchical…

机器学习 · 计算机科学 2022-05-06 Fangfei Lin , Bing Bai , Kun Bai , Yazhou Ren , Peng Zhao , Zenglin Xu

We present a new method for the optimization of large configuration interaction (CI) expansions in the quantum Monte Carlo (QMC) framework. The central idea here is to replace the non-orthogonal variational optimization of CI coefficients…

化学物理 · 物理学 2022-05-26 Abdallah Ammar , Emmanuel Giner , Anthony Scemama