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In this paper we propose a new formalism to map history-dependent metadynamics in a Markovian process. We apply this formalism to a model Langevin dynamics and determine the equilibrium distribution of a collection of simulations. We…

Statistical Mechanics · Physics 2008-04-02 Giovanni Bussi , Alessandro Laio , Michele Parrinello

We report a novel Monte Carlo scheme that greatly enhances the power of parallel-tempering simulations. In this method, we boost the accumulation of statistical averages by including information about all potential parallel tempering trial…

Statistical Mechanics · Physics 2007-05-23 Ivan Coluzza Daan Frenkel

Adiabatic quantum computing is a powerful framework for state preparation, while its evolution time often scales quadratically in the inverse Hamiltonian spectral gap, leading to sub-optimal computational complexity. In this work, we…

Quantum Physics · Physics 2025-12-16 Xi Guo , Dong An

In this paper, we discuss adaptive approximations of an elliptic eigenvalue optimization problem in a phase-field setting by a conforming finite element method. An adaptive algorithm is proposed and implemented in several two dimensional…

Numerical Analysis · Mathematics 2025-03-10 Jing Li , Yifeng Xu , Shengfeng Zhu

Alchemical free energy calculations are a useful tool for predicting free energy differences associated with the transfer of molecules from one environment to another. The hallmark of these methods is the use of "bridging" potential energy…

This paper introduces a methodology designed to augment the inverse design optimization process in scenarios constrained by limited compute, through the strategic synergy of multi-fidelity evaluations, machine learning models, and…

Computational Engineering, Finance, and Science · Computer Science 2024-06-04 Luka Grbcic , Juliane Müller , Wibe Albert de Jong

This report presents the application of polynomial regression for estimating free energy differences using thermodynamic integration. We employ linear regression to construct a polynomial that optimally fits the thermodynamic integration…

Computational Physics · Physics 2008-10-02 Conrad Shyu , F. Marty Ytreberg

The advancement of generalized deepfake disruption is constrained by the interruption imbalance, a fundamental bottleneck inherent to the generation of universal perturbations. We reveal that conventional static gradient normalization…

Machine Learning · Computer Science 2026-05-04 Hongrui Zheng , Liejun Wang , Zhiqing Guo

The bootstrap method has proven useful for a wide range of matrix models. Here, we show that the computed momenta can be used to reconstruct the underlying eigenvalue probability distribution, which in turn allows us to compute the free…

High Energy Physics - Theory · Physics 2025-09-29 Samuel Kováčik , Katarína Magdolenová

Many algorithms and applications involve repeatedly solving variations of the same inference problem; for example we may want to introduce new evidence to the model or perform updates to conditional dependencies. The goal of adaptive…

Data Structures and Algorithms · Computer Science 2012-06-18 Umut A. Acar , Alexander T. Ihler , Ramgopal Mettu , Ozgur Sumer

A finite element method is presented to compute time harmonic microwave fields in three dimensional configurations. Nodal-based finite elements have been coupled with an absorbing boundary condition to solve open boundary problems. This…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Christian Vollaire , Laurent Nicolas , Alain Nicolas

We consider a stationary process (with either discrete or continuous time) and find an adaptive approximating stationary process combining approximation quality and supplementary good properties that can be interpreted as additional…

Probability · Mathematics 2020-02-19 Zakhar Kabluchko , Mikhail Lifshits

Photonic reservoir computing is an emergent technology toward beyond-Neumann computing. Although photonic reservoir computing provides superior performance in environments whose characteristics are coincident with the training datasets for…

Emerging Technologies · Computer Science 2020-04-28 Kazutaka Kanno , Makoto Naruse , Atsushi Uchida

We propose an adaptive biasing algorithm aimed at enhancing the sampling of multimodal measures by Langevin dynamics. The underlying idea consists in generalizing the standard adaptive biasing force method commonly used in conjunction with…

Analysis of PDEs · Mathematics 2010-08-23 Chris Chipot , Tony Lelièvre

The parallel dynamics of the fully connected Blume-Emery-Griffiths neural network model is studied for arbitrary temperature. By employing a probabilistic signal-to-noise approach, a recursive scheme is found determining the time evolution…

Disordered Systems and Neural Networks · Physics 2009-11-10 D. Bolle , J. Busquets Blanco , G. M. Shim , T. Verbeiren

We compute free energies as well as conformal anomalies associated with boundaries for a conformal free scalar field. To that matter, we introduce the family of spaces of the form $\mathbb{S}^a\times \mathbb{H}^b$, which are conformally…

High Energy Physics - Theory · Physics 2019-10-21 Diego Rodriguez-Gomez , Jorge G. Russo

This paper proposes an adaptive neural-compilation framework to address the problem of efficient program learning. Traditional code optimisation strategies used in compilers are based on applying pre-specified set of transformations that…

Artificial Intelligence · Computer Science 2016-05-27 Rudy Bunel , Alban Desmaison , Pushmeet Kohli , Philip H. S. Torr , M. Pawan Kumar

A vast array of phenomena, ranging from chemical reactions to phase transformations, are analysed in terms of a free energy surface defined with respect to a single or multiple order parameters. Enhanced sampling methods are typically used,…

Statistical Mechanics · Physics 2023-04-26 Yagyik Goswami , Srikanth Sastry

Bayesian inference with stochastic models is often difficult because their likelihood functions involve high-dimensional integrals. Approximate Bayesian Computation (ABC) avoids evaluating the likelihood function and instead infers model…

Free energies play a central role in characterising the behaviour of chemical systems and are among the most important quantities that can be calculated by molecular dynamics simulations. Solvation free energies in various organic solvents,…

Chemical Physics · Physics 2026-02-11 J. Harry Moore , Daniel J. Cole , Gabor Csanyi