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Over the last few years, several works have proposed deep learning architectures to learn dynamical systems from observation data with no or little knowledge of the underlying physics. A line of work relies on learning representations where…

Machine Learning · Computer Science 2023-03-14 Anthony Frion , Lucas Drumetz , Mauro Dalla Mura , Guillaume Tochon , Abdeldjalil Aissa El Bey

Dynamic locomotion in rough terrain requires accurate foot placement, collision avoidance, and planning of the underactuated dynamics of the system. Reliably optimizing for such motions and interactions in the presence of imperfect and…

Robotics · Computer Science 2022-08-18 Ruben Grandia , Fabian Jenelten , Shaohui Yang , Farbod Farshidian , Marco Hutter

Determinantal Point Processes (DPPs) are a family of probabilistic models that have a repulsive behavior, and lend themselves naturally to many tasks in machine learning where returning a diverse set of objects is important. While there are…

Statistics Theory · Mathematics 2017-03-03 John Urschel , Victor-Emmanuel Brunel , Ankur Moitra , Philippe Rigollet

This paper presents a tutorial and survey on Probabilistic Inference-based Model Predictive Control (PI-MPC). PI-MPC reformulates finite-horizon optimal control as inference over an optimal control distribution expressed as a Boltzmann…

Robotics · Computer Science 2026-04-09 Kohei Honda

Latent state space models are a fundamental and widely used tool for modeling dynamical systems. However, they are difficult to learn from data and learned models often lack performance guarantees on inference tasks such as filtering and…

Machine Learning · Computer Science 2016-05-31 Wen Sun , Arun Venkatraman , Byron Boots , J. Andrew Bagnell

Partially observable Markov decision processes (POMDPs) provide an elegant mathematical framework for modeling complex decision and planning problems in stochastic domains in which states of the system are observable only indirectly, via a…

Artificial Intelligence · Computer Science 2011-06-02 M. Hauskrecht

Estimating the state of a dynamical system from a series of noise-corrupted observations is fundamental in many areas of science and engineering. The most well-known method, the Kalman smoother (and the related Kalman filter), relies on…

Machine Learning · Statistics 2017-04-24 Luca Ambrogioni , Umut Güçlü , Eric Maris , Marcel van Gerven

A Markov decision process-based state switching is devised, implemented, and analyzed for proximity operations of various autonomous vehicles. The framework contains a pose estimator along with a multi-state guidance algorithm. The unified…

Robotics · Computer Science 2024-10-22 Deep Parikh , Ali Hasnain Khowaja , Manoranjan Majji

Symmetries, e.g. rotational and translational invariances for the class of mechanical systems, allow to characterize solution trajectories of nonlinear dynamical systems. Thus, the restriction to symmetry-induced dynamics, e.g. by using the…

Optimization and Control · Mathematics 2019-06-24 Kathrin Flaßkamp , Sina Ober-Blöbaum , Karl Worthmann

Acquiring new robot motor skills is cumbersome, as learning a skill from scratch and without prior knowledge requires the exploration of a large space of motor configurations. Accordingly, for learning a new task, time could be saved by…

Machine Learning · Computer Science 2020-03-17 Svenja Stark , Jan Peters , Elmar Rueckert

We consider the problem of imitation learning from expert demonstrations in partially observable Markov decision processes (POMDPs). Belief representations, which characterize the distribution over the latent states in a POMDP, have been…

Machine Learning · Computer Science 2019-06-25 Tanmay Gangwani , Joel Lehman , Qiang Liu , Jian Peng

Reasoning about degrees of belief in uncertain dynamic worlds is fundamental to many applications, such as robotics and planning, where actions modify state properties and sensors provide measurements, both of which are prone to noise. With…

Artificial Intelligence · Computer Science 2013-09-27 Vaishak Belle , Hector Levesque

Latent force models are a class of hybrid models for dynamic systems, combining simple mechanistic models with flexible Gaussian process (GP) perturbations. An extension of this framework to include multiplicative interactions between the…

Machine Learning · Statistics 2019-01-01 Daniel J. Tait , Bruce J. Worton

Deep reinforcement learning has achieved great strides in solving challenging motion control tasks. Recently, there has been significant work on methods for exploiting the data gathered during training, but there has been less work on how…

Artificial Intelligence · Computer Science 2018-04-13 Glen Berseth , Michiel van de Panne

For autonomous agents to successfully operate in real world, the ability to anticipate future motions of surrounding entities in the scene can greatly enhance their safety levels since potentially dangerous situations could be avoided in…

Machine Learning · Computer Science 2019-06-04 Yeping Hu , Wei Zhan , Liting Sun , Masayoshi Tomizuka

Particle filters flexibly represent multiple posterior modes nonparametrically, via a collection of weighted samples, but have classically been applied to tracking problems with known dynamics and observation likelihoods. Such generative…

Machine Learning · Computer Science 2024-04-16 Ali Younis , Erik Sudderth

Language models trained on large text corpora encode rich distributional information about real-world environments and action sequences. This information plays a crucial role in current approaches to language processing tasks like question…

Machine Learning · Computer Science 2023-02-07 Belinda Z. Li , William Chen , Pratyusha Sharma , Jacob Andreas

Koopman theory asserts that a nonlinear dynamical system can be mapped to a linear system, where the Koopman operator advances observations of the state forward in time. However, the observable functions that map states to observations are…

Machine Learning · Computer Science 2019-06-04 Jeremy Morton , Freddie D Witherden , Mykel J Kochenderfer

Breast cancer is the most common type of cancer worldwide. A robotic system performing autonomous breast palpation can make a significant impact on the related health sector worldwide. However, robot programming for breast palpating with…

The modeling and simulation of dynamical systems is a necessary step for many control approaches. Using classical, parameter-based techniques for modeling of modern systems, e.g., soft robotics or human-robot interaction, is often…

Systems and Control · Electrical Eng. & Systems 2021-12-01 Thomas Beckers , Sandra Hirche