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The discovery of linear embedding is the key to the synthesis of linear control techniques for nonlinear systems. In recent years, while Koopman operator theory has become a prominent approach for learning these linear embeddings through…

Robotics · Computer Science 2026-03-02 Rajpal Singh , Chandan Kumar Sah , Jishnu Keshavan

Online learning is a powerful tool for analyzing iterative algorithms. However, the classic adversarial setup sometimes fails to capture certain regularity in online problems in practice. Motivated by this, we establish a new setup, called…

Machine Learning · Computer Science 2022-04-06 Jonathan Lee , Ching-An Cheng , Ken Goldberg , Byron Boots

Imitation Learning (IL) has proven highly effective for robotic and control tasks where manually designing reward functions or explicit controllers is infeasible. However, standard IL methods implicitly assume that the environment dynamics…

Machine Learning · Computer Science 2025-11-12 Rishabh Agrawal , Yusuf Alvi , Rahul Jain , Ashutosh Nayyar

Developing agents that can perform complex control tasks from high-dimensional observations is a core ability of autonomous agents that requires underlying robust task control policies and adapting the underlying visual representations to…

Robotics · Computer Science 2024-09-06 Hemant Kumawat , Biswadeep Chakraborty , Saibal Mukhopadhyay

Recent advances in diffusion-based robot policies have demonstrated significant potential in imitating multi-modal behaviors. However, these approaches typically require large quantities of demonstration data paired with corresponding robot…

Robotics · Computer Science 2025-03-26 Jianxin Bi , Kelvin Lim , Kaiqi Chen , Yifei Huang , Harold Soh

Deep Reinforcement Learning (DRL) is a key machine learning technology driving progress across various scientific and engineering fields, including wireless communication. However, its limited interpretability and generalizability remain…

Machine Learning · Computer Science 2025-07-31 Atefeh Termehchi , Ekram Hossain , Isaac Woungang

This paper presents a generalizable methodology for data-driven identification of nonlinear dynamics that bounds the model error in terms of the prediction horizon and the magnitude of the derivatives of the system states. Using…

Machine Learning · Statistics 2021-05-03 Giorgos Mamakoukas , Maria L. Castano , Xiaobo Tan , Todd D. Murphey

Reinforcement learning for large language models suffers from high-variance token-level importance sampling (IS) ratios, which would destabilize policy optimization at scale. To improve stability, recent methods typically use a fixed…

Computation and Language · Computer Science 2026-03-03 Shuo He , Lang Feng , Xin Cheng , Lei Feng , Bo An

Koopman operator theory provides a powerful framework for representing nonlinear dynamics through a linear operator acting on lifted observables, enabling the use of linear control techniques for nonlinear systems. However, Koopman models…

Robotics · Computer Science 2026-05-12 Chandan Kumar Sah , Rajpal Singh , Jishnu Keshavan

Online learning is a powerful tool for analyzing iterative algorithms. However, the classic adversarial setup sometimes fails to capture certain regularity in online problems in practice. Motivated by this, we establish a new setup, called…

Machine Learning · Computer Science 2022-04-06 Ching-An Cheng , Jonathan Lee , Ken Goldberg , Byron Boots

Imitation learning (IL) has achieved considerable success in solving complex sequential decision-making problems. However, current IL methods mainly assume that the environment for learning policies is the same as the environment for…

Machine Learning · Computer Science 2023-10-24 Siyuan Li , Xun Wang , Rongchang Zuo , Kewu Sun , Lingfei Cui , Jishiyu Ding , Peng Liu , Zhe Ma

Learning dexterous manipulation skills presents significant challenges due to complex nonlinear dynamics that underlie the interactions between objects and multi-fingered hands. Koopman operators have emerged as a robust method for modeling…

Imitation learning (IL) and reinforcement learning (RL) each offer distinct advantages for robotics policy learning: IL provides stable learning from demonstrations, and RL promotes generalization through exploration. While existing robot…

The Koopman operator allows for handling nonlinear systems through a (globally) linear representation. In general, the operator is infinite-dimensional - necessitating finite approximations - for which there is no overarching framework.…

Systems and Control · Electrical Eng. & Systems 2021-12-23 Petar Bevanda , Stefan Sosnowski , Sandra Hirche

The control of legged robots, particularly humanoid and quadruped robots, presents significant challenges due to their high-dimensional and nonlinear dynamics. While linear systems can be effectively controlled using methods like Model…

Robotics · Computer Science 2025-06-04 Feihan Li , Abulikemu Abuduweili , Yifan Sun , Rui Chen , Weiye Zhao , Changliu Liu

The accurate modeling and control of nonlinear dynamical effects are crucial for numerous robotic systems. The Koopman formalism emerges as a valuable tool for linear control design in nonlinear systems within unknown environments. However,…

Systems and Control · Electrical Eng. & Systems 2023-11-07 Daning Huang , Muhammad Bayu Prasetyo , Yin Yu , Junyi Geng

Accurate driver behavior modeling is essential for improving the interaction and cooperation of the human driver with the driver assistance system. This paper presents a novel approach for modeling the response of human drivers to visual…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Mehmet Fatih Ozkan , Jeff Chrstos , Marcello Canova , Stephanie Stockar

Koopman operator theory offers a rigorous treatment of dynamics and has been emerging as an alternative modeling and learning-based control method across various robotics sub-domains. Due to its ability to represent nonlinear dynamics as a…

Imitation learning (IL) is a popular paradigm for training policies in robotic systems when specifying the reward function is difficult. However, despite the success of IL algorithms, they impose the somewhat unrealistic requirement that…

Machine Learning · Computer Science 2022-02-16 Luca Viano , Yu-Ting Huang , Parameswaran Kamalaruban , Craig Innes , Subramanian Ramamoorthy , Adrian Weller

This paper develops a methodology for adaptive data-driven Model Predictive Control (MPC) using Koopman operators. While MPC is ubiquitous in various fields of engineering, the controller performance can deteriorate if the modeling error…

Optimization and Control · Mathematics 2024-12-05 Daisuke Uchida , Karthik Duraisamy