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Molecular dynamics (MD) simulation techniques are widely used for various natural science applications. Increasingly, machine learning (ML) force field (FF) models begin to replace ab-initio simulations by predicting forces directly from…

Computational Physics · Physics 2023-08-29 Xiang Fu , Zhenghao Wu , Wujie Wang , Tian Xie , Sinan Keten , Rafael Gomez-Bombarelli , Tommi Jaakkola

Over the past decades, molecular dynamics (MD) simulations of biomolecules have become a mainstream biophysics technique. As the length and time scales amenable to the MD method increase, shortcomings of the empirical force fields---which…

Biological Physics · Physics 2017-04-05 Jejoong Yoo , Aleksei Aksimentiev

This study presents incremental correction methods for refining neural network parameters or control functions entering into a continuous-time dynamic system to achieve improved solution accuracy in satisfying the interim point constraints…

Optimization and Control · Mathematics 2024-03-12 Namhoon Cho , Hyo-Sang Shin , Antonios Tsourdos , Davide Amato

Relevant metrological scenarios involve the simultaneous estimation of multiple parameters. The fundamental ingredient to achieve quantum-enhanced performances is based on the use of appropriately tailored quantum probes. However, reaching…

The Fast Multipole Method (FMM) offers an acceleration for pairwise interaction calculation, known as $N$-body problems, from $\mathcal{O}(N^2)$ to $\mathcal{O}(N)$ with $N$ particles. This has brought dramatic increase in the capability of…

Data Structures and Algorithms · Computer Science 2011-09-21 Felipe A. Cruz , L. A. Barba

Cosimulation methods allow combination of simulation tools of physical systems running in parallel to act as a single simulation environment for a big system. As data is passed across subsystem boundaries instead of solving the system as…

Computational Engineering, Finance, and Science · Computer Science 2017-03-21 Dirk Scharff , Thilo Moshagen , Jaroslav Vondřejc

Feature transformation aims to extract a good representation (feature) space by mathematically transforming existing features. It is crucial to address the curse of dimensionality, enhance model generalization, overcome data sparsity, and…

Machine Learning · Computer Science 2022-12-26 Meng Xiao , Dongjie Wang , Min Wu , Kunpeng Liu , Hui Xiong , Yuanchun Zhou , Yanjie Fu

The computer simulation of many molecular processes is complicated by long time scales caused by rare transitions between long-lived states. Here, we propose a new approach to simulate such rare events, which combines transition path…

Computational Physics · Physics 2023-03-23 Sebastian Falkner , Alessandro Coretti , Christoph Dellago

In finite element methods (FEMs), the accuracy of the solution cannot increase indefinitely because the round-off error increases when the number of degrees of freedom (DoFs) is large enough. This means that the accuracy that can be reached…

Numerical Analysis · Mathematics 2019-12-18 Jie Liu , Matthias Möller , Henk M. Schuttelaars

Reinforcement learning often requires extensive training data. Simulation-to-real transfer offers a promising approach to address this challenge in robotics. While differentiable simulators offer improved sample efficiency through exact…

Robotics · Computer Science 2024-12-02 Severin Bochem , Eduardo Gonzalez-Sanchez , Yves Bicker , Gabriele Fadini

Several recently developed methods have the potential to harness machine learning in the pursuit of target quantities inspired by causal inference, including inverse weighting, doubly robust estimating equations and substitution estimators…

We present a one-dimensional shear-force-driven droplet formation model with a flux-based error estimator. The model is derived using asymptotic expansion and a front-tracking method to simulate the droplet interface. The model is then…

Numerical Analysis · Mathematics 2026-05-25 Darsh Nathawani , Matthew Knepley

Simulation is a useful tool in situations where training data for machine learning models is costly to annotate or even hard to acquire. In this work, we propose a reinforcement learning-based method for automatically adjusting the…

Machine Learning · Computer Science 2019-05-15 Nataniel Ruiz , Samuel Schulter , Manmohan Chandraker

RNA function is tied to secondary structure, operating through dynamic and heterogeneous structural ensembles. While current analysis tools typically output single static structures or averaged contact maps, chemical probing methods like…

Biomolecules · Quantitative Biology 2026-05-20 Giuseppe Sacco , Jianhui Li , Redmond P. Smyth , Guido Sanguinetti , Giovanni Bussi

In this paper, we develop a nonlinear reduction framework based on our recently introduced extended group finite element method. By interpolating nonlinearities onto approximation spaces defined with the help of finite elements, the…

Numerical Analysis · Mathematics 2021-06-07 Kevin Tolle , Nicole Marheineke

Programmable linear optical interferometers are promising for classical and quantum applications. Their integrated design makes it possible to create more scalable and stable devices. To use them in practice, one has to reconstruct the…

Quantum Physics · Physics 2024-01-12 B. I. Bantysh , A. Yu. Chernyavskiy , S. A. Fldzhyan , Yu. I. Bogdanov

High-fidelity electron microscopy simulations required for quantitative crystal structure refinements face a fundamental challenge: while physical interactions are well-described theoretically, real-world experimental effects are…

Entropy and free-energy estimation are key in thermodynamic characterization of simulated systems ranging from spin models through polymers, colloids, protein structure, and drug-design. Current techniques suffer from being model specific,…

Statistical Mechanics · Physics 2019-10-30 Ram Avinery , Micha Kornreich , Roy Beck

Click-through rate (CTR) prediction is widely used in academia and industry. Most CTR tasks fall into a feature embedding \& feature interaction paradigm, where the accuracy of CTR prediction is mainly improved by designing practical…

Information Retrieval · Computer Science 2024-08-06 Fangye Wang , Hansu Gu , Dongsheng Li , Tun Lu , Peng Zhang , Li Shang , Ning Gu

An adaptive interpolation scheme is proposed to accurately calculate the wideband responses in electromagnetic simulations. In the proposed scheme, the sampling points are first carefully divided into several groups based on their responses…

Computational Engineering, Finance, and Science · Computer Science 2022-03-14 Kai Zhu , Jinhui Wang , Shunchuan Yang