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A fundamental challenge in learning to control an unknown dynamical system is to reduce model uncertainty by making measurements while maintaining safety. In this work, we formulate a mathematical definition of what it means to safely learn…

Optimization and Control · Mathematics 2020-11-25 Amir Ali Ahmadi , Abraar Chaudhry , Vikas Sindhwani , Stephen Tu

Important classes of active matter systems can be modeled using kinetic theories. However, kinetic theories can be high dimensional and challenging to simulate. Reduced-order representations based on tracking only low-order moments of the…

Computational Physics · Physics 2023-08-15 Suryanarayana Maddu , Scott Weady , Michael J. Shelley

A variety of complex biological, natural and man-made systems exhibit non-Markovian dynamics that can be modeled through fractional order differential equations, yet, we lack sample comlexity aware system identification strategies. Towards…

Systems and Control · Electrical Eng. & Systems 2025-06-23 Xiaole Zhang , Vijay Gupta , Paul Bogdan

Reinforcement learning-based quadruped robots excel across various terrains but still lack the ability to swim in water due to the complex underwater environment. This paper presents the development and evaluation of a data-driven…

Robotics · Computer Science 2024-10-02 Cong Wang , Aoming Liang , Fei Han , Xinyu Zeng , Zhibin Li , Dixia Fan , Jens Kober

Forecasting time series and time-dependent data is a common problem in many applications. One typical example is solving ordinary differential equation (ODE) systems $\dot{x}=F(x)$. Oftentimes the right hand side function $F(x)$ is not…

Computational Physics · Physics 2019-10-14 Artem Chashchin , Mikhail Botchev , Ivan Oseledets , George Ovchinnikov

Dynamical systems (DS) methods for Learning-from-Demonstration (LfD) provide stable, continuous policies from few demonstrations. First-order dynamical systems (DS) are effective for many point-to-point and periodic tasks, as long as a…

Robotics · Computer Science 2026-05-19 Ahmet Tekden , Dimitrios Kanoulas , Aude Billard , Yasemin Bekiroglu

Forecasting system behaviour near and across bifurcations is crucial for identifying potential shifts in dynamical systems. While machine learning has recently been used to learn critical transitions and bifurcation structures from data,…

Machine Learning · Computer Science 2025-11-14 Eva van Tegelen , George van Voorn , Ioannis Athanasiadis , Peter van Heijster

Reliable real-time planning for robots is essential in today's rapidly expanding automated ecosystem. In such environments, traditional methods that plan by relaxing constraints become unreliable or slow-down for kinematically constrained…

Robotics · Computer Science 2020-08-13 Jacob J. Johnson , Linjun Li , Fei Liu , Ahmed H. Qureshi , Michael C. Yip

We propose a method for training ordinary differential equations by using a control-theoretic Lyapunov condition for stability. Our approach, called LyaNet, is based on a novel Lyapunov loss formulation that encourages the inference…

Machine Learning · Computer Science 2022-02-08 Ivan Dario Jimenez Rodriguez , Aaron D. Ames , Yisong Yue

From serving a cup of coffee to positioning mechanical parts during assembly, stable object placement is a crucial skill for future robots. It becomes particularly challenging under geometric uncertainties, e.g., when the object pose or…

Robotics · Computer Science 2025-12-02 Linfeng Li , Gang Yang , Lin Shao , David Hsu

Continuous deep learning models, referred to as Neural Ordinary Differential Equations (Neural ODEs), have received considerable attention over the last several years. Despite their burgeoning impact, there is a lack of formal analysis…

Machine Learning · Computer Science 2022-07-15 Diego Manzanas Lopez , Patrick Musau , Nathaniel Hamilton , Taylor T. Johnson

Planning collision-free motions for robots with many degrees of freedom is challenging in environments with complex obstacle geometries. Recent work introduced the idea of speeding up the planning by encoding prior experience of successful…

Robotics · Computer Science 2024-05-28 Johannes Tenhumberg , Darius Burschka , Berthold Bäuml

In this paper, we address the issue of modeling and estimating changes in the state of the spatio-temporal dynamical systems based on a sequence of observations like video frames. Traditional numerical simulation systems depend largely on…

Machine Learning · Computer Science 2024-02-12 Kun Wang , Hao Wu , Guibin Zhang , Junfeng Fang , Yuxuan Liang , Yuankai Wu , Roger Zimmermann , Yang Wang

Specifying tasks for robotic systems traditionally requires coding expertise, deep domain knowledge, and significant time investment. While learning from demonstration offers a promising alternative, existing methods often struggle with…

Robotics · Computer Science 2024-09-12 Mattijs Baert , Sam Leroux , Pieter Simoens

Recently, several approaches have attempted to combine motion generation and control in one loop to equip robots with reactive behaviors, that cannot be achieved with traditional time-indexed tracking controllers. These approaches however…

Robotics · Computer Science 2023-09-28 Youssef Michel , Matteo Saveriano , Fares J. Abu-Dakka , Dongheui Lee

Recent work in deep learning focuses on solving physical systems in the Ordinary Differential Equation or Partial Differential Equation. This current work proposed a variant of Convolutional Neural Networks (CNNs) that can learn the hidden…

Machine Learning · Computer Science 2021-11-02 Mansura Habiba , Barak A. Pearlmutter

Manipulating unseen objects is challenging without a 3D representation, as objects generally have occluded surfaces. This requires physical interaction with objects to build their internal representations. This paper presents an approach…

Robotics · Computer Science 2024-10-27 Saptarshi Dasgupta , Akshat Gupta , Shreshth Tuli , Rohan Paul

Learning-based methods have shown promising performance for accelerating motion planning, but mostly in the setting of static environments. For the more challenging problem of planning in dynamic environments, such as multi-arm assembly…

Robotics · Computer Science 2025-06-13 Ruipeng Zhang , Chenning Yu , Jingkai Chen , Chuchu Fan , Sicun Gao

The scientific computation methods development in conjunction with artificial intelligence technologies remains a hot research topic. Finding a balance between lightweight and accurate computations is a solid foundation for this direction.…

Machine Learning · Computer Science 2025-07-03 Nikita Sakovich , Dmitry Aksenov , Ekaterina Pleshakova , Sergey Gataullin

We develop a method for learning periodic tasks from visual demonstrations. The core idea is to leverage periodicity in the policy structure to model periodic aspects of the tasks. We use active learning to optimize parameters of rhythmic…

Robotics · Computer Science 2022-05-23 Jingyun Yang , Junwu Zhang , Connor Settle , Akshara Rai , Rika Antonova , Jeannette Bohg