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This work primarily focuses on an operator inference methodology aimed at constructing low-dimensional dynamical models based on a priori hypotheses about their structure, often informed by established physics or expert insights. Stability…

Machine Learning · Computer Science 2024-03-04 Igor Pontes Duff , Pawan Goyal , Peter Benner

Discovering a suitable coordinate transformation for nonlinear systems enables the construction of simpler models, facilitating prediction, control, and optimization for complex nonlinear systems. To that end, Koopman operator theory offers…

Machine Learning · Computer Science 2023-08-29 Pawan Goyal , Süleyman Yıldız , Peter Benner

Graph neural networks (GNNs) have achieved remarkable success in a variety of machine learning tasks over graph data. Existing GNNs usually rely on message passing, i.e., computing node representations by gathering information from the…

Machine Learning · Computer Science 2024-10-15 Junru Zhou , Cai Zhou , Xiyuan Wang , Pan Li , Muhan Zhang

In this paper, We study the problem of learning a controllable representation for high-dimensional observations of dynamical systems. Specifically, we consider a situation where there are multiple sets of observations of dynamical systems…

Machine Learning · Computer Science 2017-11-28 Ershad Banijamali , Ahmad Khajenezhad , Ali Ghodsi , Mohammad Ghavamzadeh

Learning has propelled the cutting edge of performance in robotic control to new heights, allowing robots to operate with high performance in conditions that were previously unimaginable. The majority of the work, however, assumes that the…

Robotics · Computer Science 2018-03-13 Christopher D. McKinnon , Angela P. Schoellig

Robots are increasingly being deployed not only in workplaces but also in households. Effectively execute of manipulation tasks by robots relies on variable impedance control with contact forces. Furthermore, robots should possess adaptive…

Robotics · Computer Science 2024-07-30 Yu Zhang , Long Cheng , Xiuze Xia , Haoyu Zhang

Learning from Demonstration (LfD) is a popular method of reproducing and generalizing robot skills from human-provided demonstrations. In this paper, we propose a novel optimization-based LfD method that encodes demonstrations as elastic…

Robotics · Computer Science 2024-07-01 Brendan Hertel , Matthew Pelland , S. Reza Ahmadzadeh

This work introduces a hierarchical strategy for terrain-aware bipedal locomotion that integrates reduced-dimensional perceptual representations to enhance reinforcement learning (RL)-based high-level (HL) policies for real-time gait…

Robotics · Computer Science 2025-12-16 Guillermo A. Castillo , Himanshu Lodha , Ayonga Hereid

Learning graph representations via low-dimensional embeddings that preserve relevant network properties is an important class of problems in machine learning. We here present a novel method to embed directed acyclic graphs. Following prior…

Machine Learning · Computer Science 2018-06-08 Octavian-Eugen Ganea , Gary Bécigneul , Thomas Hofmann

We propose a novel framework for learning stabilizable nonlinear dynamical systems for continuous control tasks in robotics. The key contribution is a control-theoretic regularizer for dynamics fitting rooted in the notion of…

Optimization and Control · Mathematics 2019-08-01 Sumeet Singh , Spencer M. Richards , Vikas Sindhwani , Jean-Jacques E. Slotine , Marco Pavone

This paper investigates the generalisability of Koopman-based representations for chaotic dynamical systems, focusing on their transferability across prediction and control tasks. Using the Lorenz system as a testbed, we propose a…

Machine Learning · Computer Science 2025-08-27 Kyriakos Hjikakou , Juan Diego Cardenas Cartagena , Matthia Sabatelli

Learning highly dynamic behaviors for robots has been a longstanding challenge. Traditional approaches have demonstrated robust locomotion, but the exhibited behaviors lack diversity and agility. They employ approximate models, which lead…

Robotics · Computer Science 2024-02-22 Chong Zhang , Jiapeng Sheng , Tingguang Li , He Zhang , Cheng Zhou , Qingxu Zhu , Rui Zhao , Yizheng Zhang , Lei Han

Dynamic relational data arise in many machine learning applications, yet their evolving structure poses challenges for learning representations that remain consistent and interpretable over time. A common approach is to learn time varying…

Machine Learning · Statistics 2026-05-05 Haruka Ezoe , Hiroki Matsumoto , Ryohei Hisano

In machine learning, data is usually represented in a (flat) Euclidean space where distances between points are along straight lines. Researchers have recently considered more exotic (non-Euclidean) Riemannian manifolds such as hyperbolic…

Machine Learning · Computer Science 2021-01-12 Marc T. Law , Jos Stam

Discovering governing equations from data is crucial for understanding complex systems in many diverse fields from science to engineering. Yet, there still is a lack of versatile computational toolbox to deal with this long standing…

Chaotic Dynamics · Physics 2026-05-15 Chengzuo Zhuge , Zheng Jiang , Zhefan Xu , Wei Chen

Learning how complex dynamical systems evolve over time is a key challenge in system identification. For safety critical systems, it is often crucial that the learned model is guaranteed to converge to some equilibrium point. To this end,…

Machine Learning · Computer Science 2021-12-13 Andreas Schlaginhaufen , Philippe Wenk , Andreas Krause , Florian Dörfler

Obtaining dynamic models of continuum soft robots is central to the analysis and control of soft robots, and researchers have devoted much attention to the challenge of proposing both data-driven and first-principle solutions. Both avenues…

Robotics · Computer Science 2025-02-21 Ricardo Valadas , Maximilian Stölzle , Jingyue Liu , Cosimo Della Santina

Legged locomotion is a challenging task for learning algorithms, especially when the task requires a diverse set of primitive behaviors. To solve these problems, we introduce a hierarchical framework to automatically decompose complex…

Machine Learning · Computer Science 2019-05-23 Deepali Jain , Atil Iscen , Ken Caluwaerts

How to learn an effective reinforcement learning-based model for control tasks from high-level visual observations is a practical and challenging problem. A key to solving this problem is to learn low-dimensional state representations from…

Machine Learning · Computer Science 2022-12-27 Jianda Chen , Sinno Jialin Pan

Learning generalizable self-supervised graph representations for downstream tasks is challenging. To this end, Contrastive Learning (CL) has emerged as a leading approach. The embeddings of CL are arranged on a hypersphere where similarity…

Machine Learning · Computer Science 2025-02-25 Yifei Zhang , Hao Zhu , Menglin Yang , Jiahong Liu , Rex Ying , Irwin King , Piotr Koniusz