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EODECA (Engineered Ordinary Differential Equations as Classification Algorithm) is a novel approach at the intersection of machine learning and dynamical systems theory, presenting a unique framework for classification tasks [1]. This…

Machine Learning · Computer Science 2024-05-21 Raffaele Marino , Lorenzo Buffoni , Lorenzo Chicchi , Lorenzo Giambagli , Duccio Fanelli

Inverse problems involving differential equations often require identifying unknown parameters or functions from data. Existing approaches, such as Physics-Informed Neural Networks (PINNs), Universal Differential Equations (UDEs) and…

Machine Learning · Computer Science 2025-05-23 Shalev Manor , Mohammad Kohandel

Model-based reinforcement learning is a powerful tool, but collecting data to fit an accurate model of the system can be costly. Exploring an unknown environment in a sample-efficient manner is hence of great importance. However, the…

Machine Learning · Computer Science 2023-04-27 Matthieu Blanke , Marc Lelarge

We propose a novel differentiable physics engine for system identification of complex spring-rod assemblies. Unlike black-box data-driven methods for learning the evolution of a dynamical system \emph{and} its parameters, we modularize the…

Robotics · Computer Science 2020-11-11 Kun Wang , Mridul Aanjaneya , Kostas Bekris

This paper presents a machine learning framework for Bayesian systems identification from noisy, sparse and irregular observations of nonlinear dynamical systems. The proposed method takes advantage of recent developments in differentiable…

Machine Learning · Computer Science 2020-04-21 Yibo Yang , Mohamed Aziz Bhouri , Paris Perdikaris

In recent years, fully differentiable rigid body physics simulators have been developed, which can be used to simulate a wide range of robotic systems. In the context of reinforcement learning for control, these simulators theoretically…

Machine Learning · Computer Science 2022-03-08 Sean Gillen , Katie Byl

Reinforcement learning algorithms typically consider discrete-time dynamics, even though the underlying systems are often continuous in time. In this paper, we introduce a model-based reinforcement learning algorithm that represents…

Machine Learning · Computer Science 2023-11-01 Lenart Treven , Jonas Hübotter , Bhavya Sukhija , Florian Dörfler , Andreas Krause

This paper addresses the problem of online inverse reinforcement learning for nonlinear systems with modeling uncertainties while in the presence of unknown disturbances. The developed approach observes state and input trajectories for an…

Systems and Control · Electrical Eng. & Systems 2021-07-07 Ryan Self , Moad Abudia , Rushikesh Kamalapurkar

Optimal designs are usually model-dependent and likely to be sub-optimal if the postulated model is not correctly specified. In practice, it is common that a researcher has a list of candidate models at hand and a design has to be found…

Statistics Theory · Mathematics 2023-03-29 Mingyao Ai , Holger Dette , Zhengfu Liu , Jun Yu

Learning dynamics governed by differential equations is crucial for predicting and controlling the systems in science and engineering. Neural Ordinary Differential Equation (NODE), a deep learning model integrated with differential…

Machine Learning · Computer Science 2021-11-09 Shiqi Gong , Qi Meng , Yue Wang , Lijun Wu , Wei Chen , Zhi-Ming Ma , Tie-Yan Liu

Physics-based and first-principles models pervade the engineering and physical sciences, allowing for the ability to model the dynamics of complex systems with a prescribed accuracy. The approximations used in deriving governing equations…

Machine Learning · Statistics 2023-11-03 Megan R. Ebers , Katherine M. Steele , J. Nathan Kutz

Recent research in pedestrian simulation often aims to develop realistic behaviors in various situations, but it is challenging for existing algorithms to generate behaviors that identify weaknesses in automated vehicles' performance in…

Robotics · Computer Science 2023-06-14 Dianwei Chen , Ekim Yurtsever , Keith Redmill , Umit Ozguner

We propose a novel differentiable physics engine for system identification of complex spring-rod assemblies. Unlike black-box data-driven methods for learning the evolution of a dynamical system and its parameters, we modularize the design…

Robotics · Computer Science 2020-04-30 Kun Wang , Mridul Aanjaneya , Kostas Bekris

We introduce the framework of performative reinforcement learning where the policy chosen by the learner affects the underlying reward and transition dynamics of the environment. Following the recent literature on performative…

Machine Learning · Computer Science 2023-06-08 Debmalya Mandal , Stelios Triantafyllou , Goran Radanovic

The advent of big data has vast potential for discovery in natural phenomena ranging from climate science to medicine, but overwhelming complexity stymies insight. Existing theory is often not able to succinctly describe salient phenomena,…

Machine Learning · Computer Science 2021-06-25 Bryan E. Kaiser , Juan A. Saenz , Maike Sonnewald , Daniel Livescu

In this work, we investigate the use of data-driven equation discovery for dynamical systems to model and forecast continuous-time dynamics of unconstrained optimization problems. To avoid expensive evaluations of the objective function and…

Optimization and Control · Mathematics 2026-02-19 Grant Norman , Conor Rowan , Kurt Maute , Alireza Doostan

It is widely recognized that deep neural networks are sensitive to bias in the data. This means that during training these models are likely to learn spurious correlations between data and labels, resulting in limited generalization…

Machine Learning · Computer Science 2024-12-06 Vito Paolo Pastore , Massimiliano Ciranni , Davide Marinelli , Francesca Odone , Vittorio Murino

Modern robotics is gravitating toward increasingly collaborative human robot interaction. Tools such as acceleration policies can naturally support the realization of reactive, adaptive, and compliant robots. These tools require us to model…

Robotics · Computer Science 2017-10-09 Daniel Kappler , Franziska Meier , Nathan Ratliff , Stefan Schaal

State estimation is an important aspect in many robotics applications. In this work, we consider the task of obtaining accurate state estimates for robotic systems by enhancing the dynamics model used in state estimation algorithms.…

Robotics · Computer Science 2023-02-16 Kong Yao Chee , M. Ani Hsieh

Differentiable environments have heralded new possibilities for learning control policies by offering rich differentiable information that facilitates gradient-based methods. In comparison to prevailing model-free reinforcement learning…

Machine Learning · Computer Science 2025-03-04 Xiaoyuan Zhang , Xinyan Cai , Bo Liu , Weidong Huang , Song-Chun Zhu , Siyuan Qi , Yaodong Yang
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