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We propose kernel sequential Monte Carlo (KSMC), a framework for sampling from static target densities. KSMC is a family of sequential Monte Carlo algorithms that are based on building emulator models of the current particle system in a…

统计计算 · 统计学 2017-07-26 Ingmar Schuster , Heiko Strathmann , Brooks Paige , Dino Sejdinovic

A major challenge in the pharmaceutical industry is to design novel molecules with specific desired properties, especially when the property evaluation is costly. Here, we propose MNCE-RL, a graph convolutional policy network for molecular…

机器学习 · 计算机科学 2020-11-17 Chencheng Xu , Qiao Liu , Minlie Huang , Tao Jiang

While Diffusion Monte Carlo (DMC) is in principle an exact stochastic method for \textit{ab initio} electronic structure calculations, in practice the fermionic sign problem necessitates the use of the fixed-node approximation and trial…

Fixed-node diffusion Monte Carlo (DMC) is a stochastic algorithm for finding the lowest energy many-fermion wave function with the same nodal surface as a chosen trial function. It has proved itself among the most accurate methods available…

凝聚态物理 · 物理学 2009-10-31 W. M. C. Foulkes , Randolph Q. Hood , R. J. Needs

Hamiltonian Monte Carlo (HMC) is a state-of-the-art Markov chain Monte Carlo sampling algorithm for drawing samples from smooth probability densities over continuous spaces. We study the variant most widely used in practice, Metropolized…

机器学习 · 统计学 2021-01-12 Yuansi Chen , Raaz Dwivedi , Martin J. Wainwright , Bin Yu

The Hamiltonian Monte Carlo (HMC) sampling algorithm exploits Hamiltonian dynamics to construct efficient Markov Chain Monte Carlo (MCMC), which has become increasingly popular in machine learning and statistics. Since HMC uses the gradient…

机器学习 · 计算机科学 2019-06-04 Minghao Gu , Shiliang Sun

In this paper, we study the problem of sampling from a given probability density function that is known to be smooth and strongly log-concave. We analyze several methods of approximate sampling based on discretizations of the (highly…

统计理论 · 数学 2024-02-26 Arnak S. Dalalyan , Avetik G. Karagulyan

We develop a novel multilevel asymptotic-preserving Monte Carlo method, called Multilevel Kinetic-Diffusion Monte Carlo (ML-KDMC), for simulating the kinetic Boltzmann transport equation with a Bhatnagar-Gross-Krook (BGK) collision…

数值分析 · 数学 2020-10-23 Bert Mortier , Pieterjan Robbe , Martine Baelmans , Giovanni Samaey

Although the linear method is one of the most robust algorithms for optimizing non-linearly parametrized wavefunctions in variational Monte Carlo, it suffers from a memory bottleneck due to the fact at each optimization step a generalized…

强关联电子 · 物理学 2020-01-29 Iliya Sabzevari , Ankit Mahajan , Sandeep Sharma

Sampling minimum energy grain boundary (GB) structures in the five-dimensional crystallographic phase space can provide much-needed insight into how GB crystallography affects various interfacial properties. However, the complexity and…

材料科学 · 物理学 2018-09-10 Arash Dehghan Banadaki , Mark A. Tschopp , Srikanth Patala

This paper considers the problem of sampling from non-logconcave distribution, based on queries of its unnormalized density. It first describes a framework, Denoising Diffusion Monte Carlo (DDMC), based on the simulation of a denoising…

机器学习 · 统计学 2024-10-31 Ye He , Kevin Rojas , Molei Tao

The concept of molecular similarity appears in many machine-learning algorithms based on the assumption that molecules with similar representations will also share similar properties. In this work, we propose a new way to study similarity…

化学物理 · 物理学 2025-02-07 Jan Weinreich , Konstantin Karandashev , Guido Falk von Rudorff

We devise an approach for targeted molecular design, a problem of interest in computational drug discovery: given a target protein site, we wish to generate a chemical with both high binding affinity to the target and satisfactory…

人工智能 · 计算机科学 2018-09-07 Tristan Aumentado-Armstrong

Markov Chain Monte Carlo (MCMC) is one of the most powerful methods to sample from a given probability distribution, of which the Metropolis Adjusted Langevin Algorithm (MALA) is a variant wherein the gradient of the distribution is used…

应用统计 · 统计学 2022-01-21 Mariya Mamajiwala , Debasish Roy , Serge Guillas

We report diffusion Monte Carlo (DMC) calculations on MgO in the rock-salt and CsCl structures. The calculations are based on Hartree-Fock pseudopotentials, with the single-particle orbitals entering the correlated wave function being…

强关联电子 · 物理学 2016-08-16 D. Alfè , M. Alfredsson , J. Brodholt , M. J. Gillan M. D. Towler , R. J. Needs

Structure-based drug design (SBDD) aims to efficiently discover high-affinity ligands within vast chemical spaces. However, current generative models struggle with objective misalignment and rigid sampling budgets. We present MolFORM, a…

计算工程、金融与科学 · 计算机科学 2026-02-26 Daiheng Zhang , Zhao Zhang

The Direct Simulation Monte Carlo (DSMC) method is the gold standard for non-equilibrium rarefied gas dynamics, yet its computational cost can be prohibitive, especially for near-continuum regimes and high-fidelity \emph{ab initio}…

计算物理 · 物理学 2026-02-26 Ehsan Roohi , Ahmad Shoja-Sani , Stefan Stefanov

A continuous-time path integral Quantum Monte Carlo method using the directed-loop algorithm is developed to simulate the Anderson single-impurity model in the occupation number basis. Although the method suffers from a sign problem at low…

强关联电子 · 物理学 2009-11-10 Jaebeom Yoo , Shailesh Chandrasekharan , Harold U. Baranger

We design and implement a novel algorithm for computing a multilevel Monte Carlo (MLMC) estimator of the cumulative distribution function of a quantity of interest in problems with random input parameters or initial conditions. Our approach…

数值分析 · 数学 2020-08-26 Søren Taverniers , Daniel M. Tartakovsky

Selective adsorption in a two-dimensional model of a binary hard-disk mixture on patterned adhesive surfaces is studied using grand canonical Monte Carlo simulations. The two species have equal diameters and equal bulk chemical potentials,…

软凝聚态物质 · 物理学 2026-05-21 Nazar Kukarkin , Taras Patsahan