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The precise knowledge regarding the state of the power grid is important in order to ensure optimal and reliable grid operation. Specifically, knowing the state of the distribution grid becomes increasingly important as more renewable…

Systems and Control · Electrical Eng. & Systems 2020-02-18 Jonatan Ostrometzky , Konstantin Berestizshevsky , Andrey Bernstein , Gil Zussman

We introduce a comprehensive data-driven framework aimed at enhancing the modeling of physical systems, employing inference techniques and machine learning enhancements. As a demonstrative application, we pursue the modeling of cathodic…

Computational Physics · Physics 2025-02-04 Christian Jacobsen , Jiayuan Dong , Mehdi Khalloufi , Xun Huan , Karthik Duraisamy , Maryam Akram , Wanjiao Liu

Recently, distributed algorithms for power system state estimation have attracted significant attention. Along with such advantages as decomposition, parallelization of the original problem and absence of a central computation unit,…

Optimization and Control · Mathematics 2020-07-07 Samal Kubentayeva , Elena Gryazina , Sergei Parsegov , Alexander Gasnikov , Federico Ibáñez

Reinforcement learning in partially observable environments is typically challenging, as it requires agents to learn an estimate of the underlying system state. These challenges are exacerbated in multi-agent settings, where agents learn…

Artificial Intelligence · Computer Science 2025-04-14 Paul J. Pritz , Kin K. Leung

We provide a number of extensions and further interpretations of the Parameterized-Background Data-Weak (PBDW) formulation, a real-time and in-situ Data Assimilation (DA) framework for physical systems modeled by parametrized Partial…

Numerical Analysis · Mathematics 2017-12-29 Yvon Maday , Tommaso Taddei

We present the concepts of physics-based learning models (PBLM) and their relevance and application to the field of ship hydrodynamics. The utility of physics-based learning is motivated by contrasting generic learning models for regression…

Fluid Dynamics · Physics 2014-01-17 Gabriel D. Weymouth , Dick K. P. Yue

Agent-Based Models (ABM) are computational scenario-generators, which can be used to predict the possible future outcomes of the complex system they represent. To better understand the robustness of these predictions, it is necessary to…

General Economics · Economics 2022-08-08 Karl Naumann-Woleske , Max Sina Knicker , Michael Benzaquen , Jean-Philippe Bouchaud

Approximating model predictive control (MPC) policy using expert-based supervised learning techniques requires labeled training data sets sampled from the MPC policy. This is typically obtained by sampling the feasible state-space and…

Optimization and Control · Mathematics 2022-03-16 Dinesh Krishnamoorthy

We describe a framework that can integrate prior physical information, e.g., the presence of kinematic constraints, to support data-driven simulation in multi-body dynamics. Unlike other approaches, e.g., Fully-connected Neural Network…

Computational Engineering, Finance, and Science · Computer Science 2024-07-12 Jingquan Wang , Shu Wang , Huzaifa Mustafa Unjhawala , Jinlong Wu , Dan Negrut

This paper provides an approximate online adaptive solution to the infinite-horizon optimal tracking problem for control-affine continuous-time nonlinear systems with unknown drift dynamics. Model-based reinforcement learning is used to…

Systems and Control · Computer Science 2017-07-25 Rushikesh Kamalapurkar , Lindsey Andrews , Patrick Walters , Warren E. Dixon

Modeling complex dynamical systems under varying conditions is computationally intensive, often rendering high-fidelity simulations intractable. Although reduced-order models (ROMs) offer a promising solution, current methods often struggle…

Machine Learning · Computer Science 2026-01-16 Andrew F. Ilersich , Kevin Course , Prasanth B. Nair

In this paper we study online Reinforcement Learning (RL) in partially observable dynamical systems. We focus on the Predictive State Representations (PSRs) model, which is an expressive model that captures other well-known models such as…

Machine Learning · Computer Science 2022-08-16 Wenhao Zhan , Masatoshi Uehara , Wen Sun , Jason D. Lee

This study presents a comprehensive overview of PIML techniques in the context of condition monitoring. The central concept driving PIML is the incorporation of known physical laws and constraints into machine learning algorithms, enabling…

Machine Learning · Computer Science 2024-01-23 Yuandi Wu , Brett Sicard , Stephen Andrew Gadsden

Robot control problems are often structured with a policy function that maps state values into control values, but in many dynamic problems the observed state can have a difficult to characterize relationship with useful policy actions. In…

Machine Learning · Computer Science 2020-05-01 Max Pflueger , Gaurav S. Sukhatme

The COVID-19 pandemic has highlighted the importance of supply chains and the role of digital management to react to dynamic changes in the environment. In this work, we focus on developing dynamic inventory ordering policies for a…

Machine Learning · Computer Science 2023-03-23 Julien Siems , Maximilian Schambach , Sebastian Schulze , Johannes S. Otterbach

One of the central challenges faced by a reinforcement learning (RL) agent is to effectively learn a (near-)optimal policy in environments with large state spaces having sparse and noisy feedback signals. In real-world applications, an…

Machine Learning · Computer Science 2020-06-24 Parameswaran Kamalaruban , Rati Devidze , Volkan Cevher , Adish Singla

The modeling of dynamical systems is a pervasive concern for not only describing but also predicting and controlling natural phenomena and engineered systems. Current data-driven approaches often assume prior knowledge of the relevant state…

Artificial Intelligence · Computer Science 2024-08-22 Félix Chavelli , Zi-Yu Khoo , Dawen Wu , Jonathan Sze Choong Low , Stéphane Bressan

This paper presents a probabilistic approach to represent and quantify model-form uncertainties in the reduced-order modeling of complex systems using operator inference techniques. Such uncertainties can arise in the selection of an…

Machine Learning · Statistics 2024-11-08 Jin Yi Yong , Rudy Geelen , Johann Guilleminot

Understanding the dynamics of a system is important in many scientific and engineering domains. This problem can be approached by learning state transition rules from observations using machine learning techniques. Such observed time-series…

Machine Learning · Computer Science 2022-12-08 Koji Watanabe , Katsumi Inoue

Model-Based Reinforcement Learning distinguishes between physical dynamics models operating on proprioceptive inputs and latent dynamics models operating on high-dimensional image observations. A prominent latent approach is the Recurrent…

Machine Learning · Computer Science 2026-04-29 Julia Berger , Bernd Frauenknecht , Sebastian Trimpe , Bastian Leibe
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