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The present paper proposes an adaptive biasing potential for the computation of free energy landscapes. It is motivated by statistical learning arguments and unifies the tasks of biasing the molecular dynamics to escape free energy wells…

Mathematical Physics · Physics 2018-03-05 I. Bilionis , P. S. Koutsourelakis

Enhanced sampling methods are pivotal for exploring rare events in molecular dynamics (MD), yet face challenges in high-dimensional collective variable (CV) spaces where exhaustive sampling becomes computationally prohibitive. While…

Computational Physics · Physics 2026-01-15 Zhijun Pan , Maodong Li , Dechin Chen , Yi Isaac Yang

Many problems in physics, material sciences, chemistry and biology can be abstractly formulated as a system that navigates over a complex energy landscape of high or infinite dimensions. Well-known examples include phase transitions of…

Numerical Analysis · Mathematics 2025-10-20 Weinan E , Weiqing Ren , Eric Vanden-Eijnden

Surface heterogeneity, particularly complex patterns of surface heating, significantly influences mesoscale atmospheric flows, yet observational constraints and modeling limitations have hindered comprehensive understanding and model…

Atmospheric and Oceanic Physics · Physics 2025-11-10 Tyler Waterman , Peter Germ , Marc Calaf , Eric Pardyjak , Nathaniel Chaney

Several enhanced sampling techniques rely on the definition of collective variables to effectively explore free energy landscapes. Existing variables that describe the progression along a reactive pathway offer an elegant solution but face…

Chemical Physics · Physics 2024-02-05 Thorben Fröhlking , Luigi Bonati , Valerio Rizzi , Francesco Luigi Gervasio

Hybrid simulation (HS) is a widely used structural testing method that combines a computational substructure with a numerical model for well-understood components and an experimental substructure for other parts of the structure that are…

Machine Learning · Computer Science 2020-04-07 Elif Ecem Bas , Mohamed A. Moustafa , David Feil-Seifer , Janelle Blankenburg

Learning shared structure across environments facilitates rapid learning and adaptive behavior in neural systems. This has been widely demonstrated and applied in machine learning to train models that are capable of generalizing to novel…

Machine Learning · Statistics 2025-04-09 Ayesha Vermani , Josue Nassar , Hyungju Jeon , Matthew Dowling , Il Memming Park

Cells use genetic switches to shift between alternate stable gene expression states, e.g., to adapt to new environments or to follow a developmental pathway. Conceptually, these stable phenotypes can be considered as attractive states on an…

Molecular Networks · Quantitative Biology 2021-06-18 Michael Assaf , Shay Be'er , Elijah Roberts

Disentangling the mechanistic details of a chemical reaction pathway is a hard problem that often requires a considerable amount of chemical intuition and a component of luck. Experiments struggle in observing short-life metastable…

Chemical Physics · Physics 2019-08-01 Valerio Rizzi , Dan Mendels , Emilia Sicilia , Michele Parrinello

The sampling problem lies at the heart of atomistic simulations and over the years many different enhanced sampling methods have been suggested towards its solution. These methods are often grouped into two broad families. On the one hand…

Computational Physics · Physics 2020-11-25 Michele Invernizzi , Pablo Miguel Piaggi , Michele Parrinello

Delay embedding---a method for reconstructing dynamical systems by delay coordinates---is widely used to forecast nonlinear time series as a model-free approach. When multivariate time series are observed, several existing frameworks can be…

Machine Learning · Statistics 2019-07-04 Shunya Okuno , Kazuyuki Aihara , Yoshito Hirata

Forward modeling approaches in cosmology have made it possible to reconstruct the initial conditions at the beginning of the Universe from the observed survey data. However the high dimensionality of the parameter space still poses a…

Instrumentation and Methods for Astrophysics · Physics 2023-04-05 Chirag Modi , Yin Li , David Blei

International initiatives such as METABRIC (Molecular Taxonomy of Breast Cancer International Consortium) have collected several multigenomic and clinical data sets to identify the undergoing molecular processes taking place throughout the…

Machine Learning · Computer Science 2022-11-29 Teodora Reu

This paper addresses the problem of parallelizing computations to study non-linear dynamics in large networks of non-locally coupled oscillators using heterogeneous computing resources. The proposed approach can be applied to a variety of…

Chaotic Dynamics · Physics 2025-07-04 Oleksandr Sudakov , Volodymyr Maistrenko

A mixed basis approach based on density functional theory is employed for low dimensional systems. The basis functions are taken to be plane waves for the periodic direction multiplied by B-spline polynomials in the non-periodic direction.…

Computational Physics · Physics 2015-05-20 Chung-Yuan Ren , Chen-Shiung Hsue , Yia-Chung Chang

We present a unique derivation of metadynamics. The starting point for the derivation is an on-the-fly reweighting scheme but through an approximation we recover the standard metadynamics and the well-tempered metadynamics in a general form…

Statistical Mechanics · Physics 2011-11-10 Bradley M. Dickson

We consider the problem of sampling transition paths between two given metastable states of a molecular system, e.g. a folded and unfolded protein or products and reactants of a chemical reaction. Due to the existence of high energy…

Biomolecules · Quantitative Biology 2023-07-19 Lars Holdijk , Yuanqi Du , Ferry Hooft , Priyank Jaini , Bernd Ensing , Max Welling

Engineering the free-energy surfaces (FES) of proteins and peptides is central to controlling conformational ensembles and their responses to perturbations. However, predicting how chemical modifications such as point mutations reshape the…

Biological Physics · Physics 2026-03-10 Muralika Medaparambath , Alexander Zhilkin , Dan Mendels

Grid mapping is a well established approach for environment perception in robotic and automotive applications. Early work suggests estimating the occupancy state of each grid cell in a robot's environment using a Bayesian filter to…

Simulations with an adaptive time-dependent bias, such as metadynamics, enable an efficient exploration of the conformational space of a system. However, the dynamic information of the system is altered by the bias. With infrequent…