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A family of fast sampling methods is introduced here for molecular simulations of systems having rugged free energy landscapes. The methods represent a generalization of a strategy consisting of adjusting a model for the free energy as a…

计算物理 · 物理学 2022-02-07 Pablo F. Zubieta Rico , Juan J. de Pablo

The free energy functional has recently been proposed as a variational principle for bounded rational decision-making, since it instantiates a natural trade-off between utility gains and information processing costs that can be…

机器学习 · 统计学 2012-05-18 Pedro A. Ortega , Daniel A. Braun

We consider (2+1)-QFT at finite temperature on a product of time with a static spatial geometry. The suitably defined difference of thermal vacuum free energy for the QFT on a deformation of flat space from its value on flat space is a UV…

高能物理 - 理论 · 物理学 2020-01-10 Krai Cheamsawat , Lucas Wallis , Toby Wiseman

This paper is committed to investigate an extension of the classical adaptive biasing force method, which is used to compute the free energy related to the Boltzmann-Gibbs measure and a reaction coordinate function. The issue of this…

概率论 · 数学 2017-11-08 Houssam AlRachid , Tony Lelievre

Recently, tremendous interest has been devoted to develop data fusion strategies for energy efficiency in buildings, where various kinds of information can be processed. However, applying the appropriate data fusion strategy to design an…

计算机与社会 · 计算机科学 2020-09-15 Yassine Himeur , Abdullah Alsalemi , Ayman Al-Kababji , Faycal Bensaali , Abbes Amira

Currently, the increase in financial returns from economic operations is constrained in view of the lack of a single efficiency criterion, which allows uniquely identify the business operation by their main feature - the possibility of…

最优化与控制 · 数学 2015-10-15 Igor Lutsenko

We consider the variational free energy approach for compressed sensing. We first show that the na\"ive mean field approach performs remarkably well when coupled with a noise learning procedure. We also notice that it leads to the same…

信息论 · 计算机科学 2014-10-03 Florent Krzakala , Andre Manoel , Eric W. Tramel , Lenka Zdeborova

Fixed-parameter tractable (FPT) algorithms have been successfully applied to many intractable problems -- with a focus on decision and optimization problems. Their aim is to confine the exponential explosion to some parameter, while the…

计算复杂性 · 计算机科学 2026-01-08 Nadia Creignou , Timo Camillo Merkl , Reinhard Pichler , Daniel Unterberger

We prove integrated local energy decay for solutions of the damped wave equation with time-dependent damping satisfying an appropriate generalization of the geometric control condition on asymptotically flat, stationary space-times. We…

偏微分方程分析 · 数学 2025-11-10 Perry Kleinhenz , Michael McNulty

The present chapter gives an overview on results for discrete knot energies. These discrete energies are designed to make swift numerical computations and thus open the field to computational methods. Additionally, they provide an…

几何拓扑 · 数学 2016-03-09 Sebastian Scholtes

A simple modification of the definition of the S-matrix is proposed. It is expected that the divergences related to nonzero self-energies are considerably milder with the modified definition than with the usual one. This conjecture is…

高能物理 - 理论 · 物理学 2011-04-07 Gabor Zsolt Toth

Systematic inaccuracy is inherent in any computational estimate of a non-linear average, due to the availability of only a finite number of data values, N. Free energy differences (DF) between two states or systems are critically important…

计算物理 · 物理学 2009-11-07 Daniel M. Zuckerman , Thomas B. Woolf

We calculate the free energy of a hot gas of electrons and photons to three loops using the hard-thermal-loop perturbation theory reorganization of finite-temperature perturbation theory. We calculate the free energy through three loops by…

高能物理 - 唯象学 · 物理学 2009-10-29 Jens O. Andersen , Michael Strickland , Nan Su

According to the Jarzynski theorem, equilibrium free energy differences can be calculated from the statistics of work carried out during non-equilibrium transformations. Although exact, this approach can be plagued by large statistical…

统计力学 · 物理学 2007-05-23 Wolfgang Lechner , Christoph Dellago

We propose an energy-optimized invariant energy quadratization method to solve the gradient flow models in this paper, which requires only one linear energy-optimized step to correct the auxiliary variables on each time step. In addition to…

数值分析 · 数学 2024-04-03 Xiaoqing Meng , Aijie Cheng , Zhengguang Liu

The main perturbative contribution to the free energy of an electroweak interface is due to the effective potential and the tree level kinetic term. The derivative corrections are investigated with one-loop perturbation theory. The action…

高能物理 - 唯象学 · 物理学 2007-05-23 J. Kripfganz , A. Laser , M. G. Schmidt

The perturbative expansion introduced by Zwanzig [R. W. Zwanzig, J. Chem. Phys. {\bf 22}, 1420 (1954)] expresses the difference in Helmholtz free energy between a system of interest and that of a reference system as series of cumulants…

计算物理 · 物理学 2020-10-01 C. W. Greeff

We consider a possible `deformation' of the trace of the heat kernel on odd dimensional spheres, motivated by the calculation of the free energy of a scalar field on a discretized circle. By using an expansion in terms of the modified…

数学物理 · 物理学 2018-04-02 Nahomi Kan , Kiyoshi Shiraishi

The paper is a continuation of arXiv:2012.10364, where the approach was developed to constructing the exact matrix model for any generalized Ising system, and such model was constructed for certain 2d system. In this paper, the properties…

统计力学 · 物理学 2021-03-12 Vadym Sakhno , Mykola Sakhno

Building on nonintrinsic Landau theory, we introduce continuum free-energy computing as a new computing paradigm in which problem instances are encoded in programmable free-energy functionals and solved by intrinsic relaxational dynamics.…

统计力学 · 物理学 2026-03-31 Trey Li