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We address the problem of safely learning controlled stochastic dynamics from discrete-time trajectory observations, ensuring system trajectories remain within predefined safe regions during both training and deployment. Safety-critical…

Machine Learning · Statistics 2026-02-03 Luc Brogat-Motte , Alessandro Rudi , Riccardo Bonalli

Feed-forward neural networks (FNNs) work as standard building blocks in applying artificial intelligence (AI) to the physical world. They allow learning the dynamics of unknown physical systems (e.g., biological and chemical) {to predict…

Machine Learning · Computer Science 2022-06-23 Yu Wang , Qitong Gao , Miroslav Pajic

This paper presents Learning-based Autonomous Guidance with RObustness and Stability guarantees (LAG-ROS), which provides machine learning-based nonlinear motion planners with formal robustness and stability guarantees, by designing a…

Robotics · Computer Science 2021-10-05 Hiroyasu Tsukamoto , Soon-Jo Chung

Learning from demonstration provides a sample-efficient approach to acquiring complex behaviors, enabling robots to move robustly, compliantly, and with fluidity. In this context, Dynamic Motion Primitives offer built - in stability and…

Due to their expressive power, neural networks (NNs) are promising templates for functional optimization problems, particularly for reach-avoid certificate generation for systems governed by stochastic differential equations (SDEs).…

Systems and Control · Electrical Eng. & Systems 2026-03-03 Chun-Wei Kong , Sebastian Escobar , Ibon Gracia , Jay McMahon , Morteza Lahijanian

Since batch algorithms suffer from lack of proficiency in confronting model mismatches and disturbances, this contribution proposes an adaptive scheme based on continuous Lyapunov function for online robot dynamic identification. This paper…

Robotics · Computer Science 2022-10-28 Pedram Agand , Mahdi Aliyari Shoorehdeli

There are two major challenges for scaling up robot navigation around dynamic obstacles: the complex interaction dynamics of the obstacles can be hard to model analytically, and the complexity of planning and control grows exponentially in…

Robotics · Computer Science 2023-07-07 Hongzhan Yu , Chiaki Hirayama , Chenning Yu , Sylvia Herbert , Sicun Gao

Certifying the safety or robustness of neural networks against input uncertainties and adversarial attacks is an emerging challenge in the area of safe machine learning and control. To provide such a guarantee, one must be able to bound the…

Optimization and Control · Mathematics 2021-09-16 Mahyar Fazlyab , Manfred Morari , George J. Pappas

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

Some of the threats in the dynamic environment include the unpredictability of the motion of objects and interferences to the robotic grasp. In such conditions the traditional supervised and reinforcement learning approaches are ill suited…

Robotics · Computer Science 2024-10-18 Ankit Shaw

Modelling real world systems involving humans such as biological processes for disease treatment or human behavior for robotic rehabilitation is a challenging problem because labeled training data is sparse and expensive, while high…

Systems and Control · Electrical Eng. & Systems 2020-06-16 Wenxin Xiao , Armin Lederer , Sandra Hirche

Neural networks have become increasingly popular in controller design due to their versatility and efficiency. However, their integration into feedback systems can pose stability challenges, particularly in the presence of uncertainties.…

Optimization and Control · Mathematics 2025-03-04 Yuhao Zhang , Xiangru Xu

State-of-the-art sensorimotor learning algorithms offer policies that can often produce unstable behaviors, damaging the robot and/or the environment. Traditional robot learning, on the contrary, relies on dynamical system-based policies…

Physical computing has the potential to enable widespread embodied intelligence by leveraging the intrinsic dynamics of complex systems for efficient sensing, processing, and interaction. While individual devices provide basic data…

This paper proposes a data-driven approach to design a feedforward Neural Network (NN) controller with a stability guarantee for plants with unknown dynamics. We first introduce data-driven representations of stability conditions for Neural…

Optimization and Control · Mathematics 2024-10-14 Zuxun Xiong , Han Wang , Liqun Zhao , Antonis Papachristodoulou

Recent methods for neural surface representation and rendering, for example NeuS, have demonstrated the remarkably high-quality reconstruction of static scenes. However, the training of NeuS takes an extremely long time (8 hours), which…

Computer Vision and Pattern Recognition · Computer Science 2023-11-20 Yiming Wang , Qin Han , Marc Habermann , Kostas Daniilidis , Christian Theobalt , Lingjie Liu

Diffusion models have made significant strides in recent years, exhibiting strong generalization capabilities in planning and control tasks. However, most diffusion-based policies remain focused on reward maximization or cost minimization,…

Systems and Control · Electrical Eng. & Systems 2025-10-01 Xiaoyuan Cheng , Xiaohang Tang , Yiming Yang

Autonomous safe navigation in unstructured and novel environments poses significant challenges, especially when environment information can only be provided through low-cost vision sensors. Although safe reactive approaches have been…

Robotics · Computer Science 2026-01-06 Satyajeet Das , Yifan Xue , Haoming Li , Nadia Figueroa

Deep reinforcement learning (deep RL) has been successful in learning sophisticated behaviors automatically; however, the learning process requires a huge number of trials. In contrast, animals can learn new tasks in just a few trials,…

Artificial Intelligence · Computer Science 2016-11-11 Yan Duan , John Schulman , Xi Chen , Peter L. Bartlett , Ilya Sutskever , Pieter Abbeel

The existence of instabilities, for example in the form of adversarial examples, has given rise to a highly active area of research concerning itself with understanding and enhancing the stability of neural networks. We focus on a popular…

Numerical Analysis · Mathematics 2025-10-28 Matthias J. Ehrhardt , Davide Murari , Ferdia Sherry