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This paper considers a class of reinforcement learning problems, which involve systems with two types of states: stochastic and pseudo-stochastic. In such systems, stochastic states follow a stochastic transition kernel while the…

Machine Learning · Computer Science 2023-11-09 Honghao Wei , Xin Liu , Weina Wang , Lei Ying

Under certain conditions, the dynamics of coarse-grained models of solvated proteins can be described using a Markov state model, which tracks the evolution of populations of configurations. The transition rates among states that appear in…

Soft Condensed Matter · Physics 2022-09-26 Margarita Colberg , Jeremy Schofield

Stochastic Differential Equations (SDEs) serve as a powerful modeling tool in various scientific domains, including systems science, engineering, and ecological science. While the specific form of SDEs is typically known for a given…

Methodology · Statistics 2024-02-27 Xin Cai , Jingyu Yang , Zhibao Li , Hongqiao Wang , Miao Huang

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

Neural-network quantum states (NQS) has emerged as a powerful application of quantum-inspired deep learning for variational Monte Carlo methods, offering a competitive alternative to existing techniques for identifying ground states of…

Machine Learning · Computer Science 2024-11-07 Oliver Knitter , Dan Zhao , James Stokes , Martin Ganahl , Stefan Leichenauer , Shravan Veerapaneni

Conical intersections serve as critical gateways in photochemical reactions, enabling rapid nonradiative transitions between potential energy surfaces that underpin fundamental processes such as photosynthesis or vision. Their calculation…

Chemical Physics · Physics 2025-02-19 Rhyan Barrett , Christoph Ortner , Julia Westermayr

Transition path sampling (TPS), which involves finding probable paths connecting two points on an energy landscape, remains a challenge due to the complexity of real-world atomistic systems. Current machine learning approaches use…

Machine Learning · Computer Science 2025-06-27 Sanjeev Raja , Martin Šípka , Michael Psenka , Tobias Kreiman , Michal Pavelka , Aditi S. Krishnapriyan

Deep learning models are widely used for the data-driven design of materials based on atomic force microscopy (AFM) and other scanning probe microscopy. These tools enhance efficiency in inverse design and characterization of materials.…

Materials Science · Physics 2024-12-12 Isaiah A. Moses , Wesley F. Reinhart

Realisation of experiments even on small and medium-scale quantum computers requires an optimisation of several parameters to achieve high-fidelity operations. As the size of the quantum register increases, the characterisation of quantum…

Quantum Physics · Physics 2020-08-11 F. Martínez-García , D. Vodola , M. Müller

The calculation of reactive properties is a challenging task in chemical reaction discovery. Machine learning (ML) methods play an important role in accelerating electronic structure predictions of activation energies and reaction…

Chemical Physics · Physics 2025-05-02 Joe Gilkes , Mark Storr , Reinhard J. Maurer , Scott Habershon

Interest in equilibrium-based sampling methods has grown with recent advances in computational hardware and Markov state modeling (MSM) methods, yet outstanding questions remain that hinder widespread adoption. Namely, how do sampling…

Biomolecules · Quantitative Biology 2018-05-15 Maxwell I. Zimmerman , Justin R. Porter , Xianqiang Sun , Roseane R. Silva , Gregory R. Bowman

Model-based reinforcement learning refers to a set of approaches capable of sample-efficient decision making, which create an explicit model of the environment. This model can subsequently be used for learning optimal policies. In this…

Machine Learning · Computer Science 2024-11-19 Théophile Champion , Marek Grześ , Howard Bowman

Organic synthesis is one of the key stumbling blocks in medicinal chemistry. A necessary yet unsolved step in planning synthesis is solving the forward problem: given reactants and reagents, predict the products. Similar to other work, we…

Chemical Physics · Physics 2019-09-13 Philippe Schwaller , Teodoro Laino , Théophile Gaudin , Peter Bolgar , Costas Bekas , Alpha A Lee

Quantum phase transitions and observables of interest of the ground state in the Tavis-Cummings model are analyzed, for any number of atoms, by using a tensorial product of coherent states. It is found that this "trial" state constitutes a…

Growing concerns regarding the operational usage of AI models in the real-world has caused a surge of interest in explaining AI models' decisions to humans. Reinforcement Learning is not an exception in this regard. In this work, we propose…

Machine Learning · Computer Science 2023-10-06 Omid Davoodi , Majid Komeili

Spatial multiscale methods have established themselves as useful tools for extending the length scales accessible by conventional statics (i.e., zero temperature molecular dynamics). Recently, extensions of these methods, such as the…

Numerical Analysis · Mathematics 2014-09-23 Andrew Binder , Mitchell Luskin , Danny Perez , Arthur F. Voter

Due to the increasing complexity of Integrated Circuits (ICs) and System-on-Chip (SoC), developing high-quality synthesis flows within a short market time becomes more challenging. We propose a general approach that precisely estimates the…

Machine Learning · Computer Science 2018-11-16 Cunxi Yu , Wang Zhou

The computational prediction of atomistic structure is a long-standing problem in physics, chemistry, materials, and biology. Within conventional force-field or {\em ab initio} calculations, structure is determined through energy…

Chemical Physics · Physics 2021-09-15 Dominik Lemm , Guido Falk von Rudorff , O. Anatole von Lilienfeld

We introduce an interpretable deep learning framework that predicts the cohesive energy of transition-metal alloys (TMAs) by embedding cohesion theory within graph neural networks (GNNs). Beyond accurate prediction of cohesive energy, a key…

Materials Science · Physics 2025-09-11 Yang Huang , Shih-Han Wang , Shuyi Cao , Luke E. K. Achenie , Hongliang Xin

We consider a Markov process in continuous time with a finite number of discrete states. The time-dependent probabilities of being in any state of the Markov chain are governed by a set of ordinary differential equations, whose dimension…

Optimization and Control · Mathematics 2014-10-31 Fernando Lopez-Caamal , Tatiana T. Marquez-Lago