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We introduce the notion of importance sampling under embedded barrier state control, titled Safety Controlled Model Predictive Path Integral Control (SC-MPPI). For robotic systems operating in an environment with multiple constraints, hard…

系统与控制 · 电气工程与系统科学 2023-03-08 Manan Gandhi , Hassan Almubarak , Evangelos Theodorou

The molecular dynamics simulations were used to obtain the radius of gyration of real ring polymer chains with different topological structures consisting of 360 monomers. We focus on the entropic force which is exerted by a dilute solution…

软凝聚态物质 · 物理学 2024-01-18 P. Kuterba , Z. Danel , W. Janke

Sampling from multimodal distributions is a challenging task in scientific computing. When a distribution has an exact symmetry between the modes, direct jumps among them can accelerate the samplings significantly. However, the…

数值分析 · 数学 2024-01-05 Lexing Ying

We introduce mapping-variable ring polymer molecular dynamics (MV-RPMD), a model dynamics for the direct simulation of multi-electron processes. An extension of the RPMD idea, this method is based on an exact, imaginary time path-integral…

统计力学 · 物理学 2015-06-17 Nandini Ananth

Sampling-based model predictive control (MPC) offers strong performance in nonlinear and contact-rich robotic tasks, yet often suffers from poor exploration due to locally greedy sampling schemes. We propose \emph{Model Tensor Planning}…

机器人学 · 计算机科学 2025-08-05 An T. Le , Khai Nguyen , Minh Nhat Vu , João Carvalho , Jan Peters

The entropic sampling dynamics based on the reversible information transfer to and from the environment is applied to the globally coupled Ising model in the presence of an oscillating magnetic field. When the driving frequency is low…

统计力学 · 物理学 2007-05-23 Beom Jun Kim , M. Y. Choi

For algorithms based on interacting particle systems that admit a mean-field description, convergence analysis is often more accessible at the mean-field level. In order to transfer convergence results obtained at the mean-field level to…

概率论 · 数学 2025-11-03 Nicolai Jurek Gerber , Franca Hoffmann , Urbain Vaes

We investigate active electrolytes within the mean-field level of description. The focus is on how the double-layer structure of passive, thermalized charges is affected by active dynamics of all constituting ions. One feature of active…

软凝聚态物质 · 物理学 2018-05-23 Derek Frydel , Rudolf Podgornik

We describe a path-integral approach for including nuclear quantum effects in non-adiabatic chemical dynamics simulations. For a general physical system with multiple electronic energy levels, a corresponding isomorphic Hamiltonian is…

统计力学 · 物理学 2018-06-05 Xuecheng Tao , Philip Shushkov , Thomas Miller

A new kinetic model is proposed where the equilibrium distribution with bounded support has a range of velocities about two average velocities in 1D. In 2D, the equilibrium distribution function has a range of velocities about four average…

流体动力学 · 物理学 2023-08-15 Shashi Shekhar Roy , S. V. Raghurama Rao

We propose a space mapping-based optimization algorithm for microscopic interacting particle dynamics which are inappropriate for direct optimization. This is of relevance for example in applications with bounded domains such that the…

最优化与控制 · 数学 2021-02-23 Jennifer Weißen , Simone Göttlich , Claudia Totzeck

A path-integral hybrid Monte Carlo approach with enveloping bridging potentials (PIHMC-EBP) is proposed for calculating numerically exact tunneling splittings in molecular systems. The central idea is to construct an approximately…

化学物理 · 物理学 2026-04-15 Yu-Chen Wang , Jeremy O. Richardson

In this paper we review main ideas mentioned in several other papers which talk about optimization techniques used by compilers. Here we focus on loop unrolling technique and its effect on power consumption, energy usage and also its impact…

编程语言 · 计算机科学 2013-08-13 Meisam Booshehri , Abbas Malekpour , Peter Luksch

We analyze Riemannian Hamiltonian Monte Carlo (RHMC) for sampling a polytope defined by $m$ inequalities in $\R^n$ endowed with the metric defined by the Hessian of a convex barrier function. The advantage of RHMC over Euclidean methods…

数据结构与算法 · 计算机科学 2023-04-20 Khashayar Gatmiry , Jonathan Kelner , Santosh S. Vempala

We present an efficient sampling method for computing a partition function and accelerating configuration sampling. The method performs a random walk in the $\lambda$ space, with $\lambda$ being any thermodynamic variable that characterizes…

计算物理 · 物理学 2010-03-02 Cheng Zhang , Jianpeng Ma

We numericaly demonstrate that, in double well models, the autocorrelation time of open path integral Monte Carlo simulations can be much smaller compared to standard ones using ring polymers. We also provide an intuitive explanation based…

计算物理 · 物理学 2016-08-04 Guglielmo Mazzola , Matthias Troyer

The static and dynamic properties of ring polymers in concentrated solutions remains one of the last deep unsolved questions in Polymer Physics. At the same time, the nature of the glass transition in polymeric systems is also not well…

软凝聚态物质 · 物理学 2016-10-25 Davide Michieletto , Matthew S. Turner

We present a novel mechanism for resolving the mechanical rigidity of nanoscopic circular polymers that flow in a complex environment. The emergence of a regime of negative differential mobility induced by topological interactions between…

软凝聚态物质 · 物理学 2018-11-21 Stefano Iubini , Enzo Orlandini , Davide Michieletto , Marco Baiesi

We show experimentally that a broad class of interactions involving quantum harmonic oscillators can be made stronger (amplified) using a unitary squeezing protocol. While our demonstration uses the motional and spin states of a single…

This work introduces a novel paradigm for solving optimal control problems for hybrid dynamical systems under uncertainties. Robotic systems having contact with the environment can be modeled as hybrid systems. Controller design for hybrid…

机器人学 · 计算机科学 2024-11-04 Hongzhe Yu , Diana Frias Franco , Aaron M. Johnson , Yongxin Chen