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We present a computational technique for modeling the evolution of dynamical systems in a reduced basis, with a focus on the challenging problem of modeling partially-observed partial differential equations (PDEs) on high-dimensional…

Machine Learning · Statistics 2024-12-25 Victor Churchill

Training intelligent agents that can drive autonomously in various urban and highway scenarios has been a hot topic in the robotics society within the last decades. However, the diversity of driving environments in terms of road topology…

Robotics · Computer Science 2022-04-06 Behrad Toghi , Rodolfo Valiente , Ramtin Pedarsani , Yaser P. Fallah

In this paper, we present a method for recognising an agent's behaviour in dynamic, noisy, uncertain domains, and across multiple levels of abstraction. We term this problem on-line plan recognition under uncertainty and view it generally…

Artificial Intelligence · Computer Science 2011-06-06 H. H. Bui , S. Venkatesh , G. West

A non-intrusive model order reduction (MOR) method that combines features of the dynamic mode decomposition (DMD) and the radial basis function (RBF) network is proposed to predict the dynamics of parametric nonlinear systems. In many…

A common problem in time series analysis is to predict dynamics with only scalar or partial observations of the underlying dynamical system. For data on a smooth compact manifold, Takens theorem proves a time delayed embedding of the…

Machine Learning · Computer Science 2023-04-12 Charles D. Young , Michael D. Graham

Micro-Doppler analysis has become increasingly popular in recent years owning to the ability of the technique to enhance classification strategies. Applications include recognising everyday human activities, distinguishing drone from birds,…

Signal Processing · Electrical Eng. & Systems 2021-02-16 Chong Tang , Wenda Li , Shelly Vishwakarma , Karl Woodbridge , Simon Julier , Kevin Chetty

In many real-world multi-agent cooperative tasks, due to high cost and risk, agents cannot continuously interact with the environment and collect experiences during learning, but have to learn from offline datasets. However, the transition…

Machine Learning · Computer Science 2023-08-01 Jiechuan Jiang , Zongqing Lu

Unlike quasi-static robotic manipulation tasks like pick-and-place, dynamic tasks such as non-prehensile manipulation pose greater challenges, especially for vision-based control. Successful control requires the extraction of features…

We prove that stochastic gradient descent efficiently converges to the global optimizer of the maximum likelihood objective of an unknown linear time-invariant dynamical system from a sequence of noisy observations generated by the system.…

Machine Learning · Computer Science 2019-02-12 Moritz Hardt , Tengyu Ma , Benjamin Recht

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

We present a data-driven learning approach for unknown nonautonomous dynamical systems with time-dependent inputs based on dynamic mode decomposition (DMD). To circumvent the difficulty of approximating the time-dependent Koopman operators…

Numerical Analysis · Mathematics 2023-06-28 Hannah Lu , Daniel M. Tartakovsky

Modeling and predicting the dynamics of complex multiscale systems remains a significant challenge due to their inherent nonlinearities and sensitivity to initial conditions, as well as limitations of traditional machine learning methods…

Machine Learning · Computer Science 2025-10-23 Elias Al Ghazal , Jad Mounayer , Beatriz Moya , Sebastian Rodriguez , Chady Ghnatios , Francisco Chinesta

Estimating the state of an environment from high-dimensional, multimodal, and noisy observations is a fundamental challenge in reinforcement learning (RL). Traditional approaches rely on probabilistic models to account for the uncertainty,…

Machine Learning · Computer Science 2026-02-13 Alfredo Reichlin , Adriano Pacciarelli , Danica Kragic , Miguel Vasco

For a model nonlinear dynamical system, we show how one may obtain its bifurcation behavior by introducing noise into the dynamics and then studying the resulting Langevin dynamics in the weak-noise limit. A suitable quantity to capture the…

Adaptation and Self-Organizing Systems · Physics 2019-02-06 Debraj Das , Sayan Roy , Shamik Gupta

This paper presents a data-driven decentralized trajectory optimization approach for multi-robot motion planning in dynamic environments. When navigating in a shared space, each robot needs accurate motion predictions of neighboring robots…

Robotics · Computer Science 2021-02-25 Hai Zhu , Francisco Martinez Claramunt , Bruno Brito , Javier Alonso-Mora

Using visual model-based learning for deformable object manipulation is challenging due to difficulties in learning plannable visual representations along with complex dynamic models. In this work, we propose a new learning framework that…

Machine Learning · Computer Science 2020-03-12 Wilson Yan , Ashwin Vangipuram , Pieter Abbeel , Lerrel Pinto

Self-driving vehicles rely on sensory input to monitor their surroundings and continuously adapt to the most likely future road course. Predictive trajectory planning is based on snapshots of the (uncertain) road course as a key input.…

Robotics · Computer Science 2025-09-24 Benjamin Bogenberger , Johannes Bürger , Vladislav Nenchev

Learning effective visuomotor policies for robots purely from data is challenging, but also appealing since a learning-based system should not require manual tuning or calibration. In the case of a robot operating in a real environment the…

Robotics · Computer Science 2018-10-12 Homanga Bharadhwaj , Zihan Wang , Yoshua Bengio , Liam Paull

The paper presents a data-driven predictive control framework based on an implicit input-output mapping derived directly from the signal matrix of collected data. This signal matrix model is derived by maximum likelihood estimation with…

Systems and Control · Electrical Eng. & Systems 2021-11-10 Mingzhou Yin , Andrea Iannelli , Roy S. Smith

Reliable forecasting of the future behavior of road agents is a critical component to safe planning in autonomous vehicles. Here, we represent continuous trajectories as sequences of discrete motion tokens and cast multi-agent motion…

Computer Vision and Pattern Recognition · Computer Science 2023-09-29 Ari Seff , Brian Cera , Dian Chen , Mason Ng , Aurick Zhou , Nigamaa Nayakanti , Khaled S. Refaat , Rami Al-Rfou , Benjamin Sapp