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Deep learning has revolutionised artificial intelligence (AI) by enabling automatic feature extraction and function approximation from raw data. However, it faces challenges such as a lack of out-of-distribution generalisation, catastrophic…

Neural and Evolutionary Computing · Computer Science 2025-02-14 Mehran H. Bazargani , Szymon Urbas , Karl Friston

We review uses of the generalized-ensemble algorithms for free-energy calculations in protein folding. Two of the well-known methods are multicanonical algorithm and replica-exchange method; the latter is also referred to as parallel…

Statistical Mechanics · Physics 2007-05-23 Y. Sugita , Y. Okamoto

The free energy principle (FEP) from neuroscience provides a framework called active inference for the joint estimation and control of state space systems, subjected to colored noise. However, the active inference community has been…

Systems and Control · Electrical Eng. & Systems 2022-04-06 Ajith Anil Meera , Martijn Wisse

We introduce a goal-oriented strategy for multiscale computations performed using the Multiscale Finite Element Method (MsFEM). In a previous work, we have shown how to use, in the MsFEM framework, the concept of Constitutive Relation Error…

Numerical Analysis · Mathematics 2019-08-02 Ludovic Chamoin , Frederic Legoll

We refine the OrbNet model to accurately predict energy, forces, and other response properties for molecules using a graph neural-network architecture based on features from low-cost approximated quantum operators in the symmetry-adapted…

Machine learned chemical potentials have shown great promise as alternatives to conventional computational chemistry methods to represent the potential energy of a given atomic or molecular system as a function of its geometry. However,…

Chemical Physics · Physics 2023-11-15 Christian Devereux , Yoona Yang , Carles Martí , Judit Zádor , Michael S. Eldred , Habib N. Najm

The Free-Energy-Principle (FEP) is an influential and controversial theory which postulates a deep and powerful connection between the stochastic thermodynamics of self-organization and learning through variational inference. Specifically,…

Artificial Intelligence · Computer Science 2021-10-05 Beren Millidge , Anil Seth , Christopher L Buckley

Exploring the free-energy landscape along reaction coordinates or system parameters $\lambda$ is central to many studies of high-dimensional model systems in physics, e.g. large molecules or spin glasses. In simulations this usually…

Statistical Mechanics · Physics 2018-09-05 Viveca Lindahl , Jack Lidmar , Berk Hess

Machine-learning force fields can deliver accurate molecular dynamics (MD) at high computational cost. For SO(3)-equivariant models such as MACE, there is little systematic evidence on whether reduced-precision arithmetic and GPU-optimized…

Machine Learning · Computer Science 2025-10-29 Alexandre Benoit

Fast and accurate evaluation of free energy has broad applications from drug design to material engineering. Computing the absolute free energy is of particular interest since it allows the assessment of the relative stability between…

Statistical Mechanics · Physics 2021-02-24 Xinqiang Ding , Bin Zhang

Binding free energies are a key element in understanding and predicting the strength of protein--drug interactions. While classical free energy simulations yield good results for many purely organic ligands, drugs including transition metal…

Current state-of-the-art generative models map noise to data distributions by matching flows or scores. A key limitation of these models is their inability to readily integrate available partial observations and additional priors. In…

Calculating free energy differences is a topic of substantial interest and has many applications including molecular docking and hydration, solvation, and binding free energies which is used in computational drug discovery. However, in…

Chemical Physics · Physics 2013-10-16 Asaf Farhi

A large part of modern machine learning theory often involves computing the high-dimensional expected trace of a rational expression of large rectangular random matrices. To symbolically compute such quantities using free probability…

Machine Learning · Computer Science 2025-04-16 Arjun Subramonian , Elvis Dohmatob

We present an efficient method for the calculation of free energy landscapes. Our approach involves a history dependent bias potential which is evaluated on a grid. The corresponding free energy landscape is constructed via a histogram…

Computational Physics · Physics 2011-03-03 Jens Smiatek , Andreas Heuer

We address the problem of constructing accurate mathematical models of the dynamics of complex systems projected on a collective variable. To this aim we introduce a conceptually simple yet effective algorithm for estimating the parameters…

Statistical Mechanics · Physics 2022-09-28 Karen Palacio-Rodriguez , Fabio Pietrucci

Complete computation of turbulent combustion flow involves two separate steps: mapping reaction kinetics to low-dimensional manifolds and looking-up this approximate manifold during CFD run-time to estimate the thermo-chemical state…

Machine Learning · Computer Science 2022-11-28 Amol Salunkhe , Georgios Georgalis , Abani Patra , Varun Chandola

Recently, nanofluidics experiments have been used to characterize the behavior of single DNA molecules confined to narrow slits etched with arrays of nanopits. Analysis of the experimental data relies on analytical estimates of the…

Soft Condensed Matter · Physics 2024-09-09 James M. Polson , Matthew Kozma

Estimation of physical quantities is at the core of most scientific research and the use of quantum devices promises to enhance its performances. In real scenarios, it is fundamental to consider that the resources are limited and Bayesian…

Statistical power estimation for studies with multiple model parameters is inherently a multivariate problem. Power for individual parameters of interest cannot be reliably estimated univariately since correlation and variance explained…

Methodology · Statistics 2022-05-25 Ajinkya K Mulay , Sean Lane , Erin Hennes