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We propose a new method for automatically detecting monotonic input-output relationships from data using Gaussian Process (GP) models with virtual derivative observations. Our results on synthetic and real datasets show that the proposed…

Methodology · Statistics 2016-10-19 Eero Siivola , Juho Piironen , Aki Vehtari

We propose a framework for active mapping and exploration that leverages Gaussian splatting for constructing dense maps. Further, we develop a GPU-accelerated motion planning algorithm that can exploit the Gaussian map for real-time…

Robotics · Computer Science 2025-10-07 Yuezhan Tao , Dexter Ong , Varun Murali , Igor Spasojevic , Pratik Chaudhari , Vijay Kumar

We propose a method for learning constraints represented as Gaussian processes (GPs) from locally-optimal demonstrations. Our approach uses the Karush-Kuhn-Tucker (KKT) optimality conditions to determine where on the demonstrations the…

Robotics · Computer Science 2022-03-02 Glen Chou , Hao Wang , Dmitry Berenson

Purpose - The purpose of this paper is to present a CAD-based human-robot interface that allows non-expert users to teach a robot in a manner similar to that used by human beings to teach each other. Design/methodology/approach - Intuitive…

Robotics · Computer Science 2013-09-10 Pedro Neto , Nuno Mendes , Ricardo Araújo , J. Norberto Pires , A. Paulo Moreira

Learning dynamical models from data is not only fundamental but also holds great promise for advancing principle discovery, time-series prediction, and controller design. Among various approaches, Gaussian Process State-Space Models…

Machine Learning · Computer Science 2025-10-20 Tengjie Zheng , Haipeng Chen , Lin Cheng , Shengping Gong , Xu Huang

Our goal is to enable robots to \emph{time} their motion in a way that is purposefully expressive of their internal states, making them more transparent to people. We start by investigating what types of states motion timing is capable of…

Robotics · Computer Science 2018-02-06 Allan Zhou , Dylan Hadfield-Menell , Anusha Nagabandi , Anca D. Dragan

We consider a road network represented by a directed graph. We assume to collect many measurements of traffic flows on all the network arcs, or on a subset of them. We assume that the users are divided into different groups. Each group…

Systems and Control · Electrical Eng. & Systems 2025-03-20 Mattia Laurini , Irene Saccani , Stefano Ardizzoni , Luca Consolini , Marco Locatelli

A fundamental aspect of racing is overtaking other race cars. Whereas previous research on autonomous racing has majorly focused on lap-time optimization, here, we propose a method to plan overtaking maneuvers in autonomous racing. A…

Robotics · Computer Science 2021-05-27 Tim Brüdigam , Alexandre Capone , Sandra Hirche , Dirk Wollherr , Marion Leibold

Modeling stochastic traffic behaviors at the microscopic level, such as car-following and lane-changing, is a crucial task to understand the interactions between individual vehicles in traffic streams. Leveraging a recently developed theory…

Machine Learning · Statistics 2020-07-21 Yun Yuan , Qinzheng Wang , Xianfeng Terry Yang

Despite the success of classical traffic flow (e.g., second-order macroscopic) models and data-driven (e.g., Machine Learning - ML) approaches in traffic state estimation, those approaches either require great efforts for parameter…

Machine Learning · Statistics 2022-03-22 Yun Yuan , Zhao Zhang , Xianfeng Terry Yang

We propose a Gaussian variational inference framework for the motion planning problem. In this framework, motion planning is formulated as an optimization over the distribution of the trajectories to approximate the desired trajectory…

Robotics · Computer Science 2023-03-27 Hongzhe Yu , Yongxin Chen

Planning robust robot manipulation requires good forward models that enable robust plans to be found. This work shows how to achieve this using a forward model learned from robot data to plan push manipulations. We explore learning methods…

Robotics · Computer Science 2019-07-03 Ermano Arruda , Michael J Mathew , Marek Kopicki , Michael Mistry , Morteza Azad , Jeremy L Wyatt

Humans are efficient, yet expressive in their motion. Human walking behaviors can be used to walk across a great variety of surfaces without falling and to communicate internal state to other humans through variable gait styles. This…

Robotics · Computer Science 2019-09-20 Umer Huzaifa , Catherine Maguire , Amy LaViers

Enabling robots to autonomously navigate complex environments is essential for real-world deployment. Prior methods approach this problem by having the robot maintain an internal map of the world, and then use a localization and planning…

Machine Learning · Computer Science 2018-05-21 Gregory Kahn , Adam Villaflor , Bosen Ding , Pieter Abbeel , Sergey Levine

Gaussian processes are a versatile framework for learning unknown functions in a manner that permits one to utilize prior information about their properties. Although many different Gaussian process models are readily available when the…

We introduce a novel algorithm for controlling linear time invariant systems in a tracking problem. The controller is based on a Gaussian Process (GP) whose realizations satisfy a system of linear ordinary differential equations with…

Optimization and Control · Mathematics 2025-08-01 Jörn Tebbe , Andreas Besginow , Markus Lange-Hegermann

The Dynamical Gaussian Process Latent Variable Models provide an elegant non-parametric framework for learning the low dimensional representations of the high-dimensional time-series. Real world observational studies, however, are often…

Machine Learning · Computer Science 2019-09-26 Thanh Le , Vasant Honavar

Gaussian processes (GPs) are becoming a standard tool to build terrain representations thanks to their capacity to model map uncertainty. This effectively yields a reliability measure of the areas of the map, which can be directly utilized…

Robotics · Computer Science 2022-03-22 Ignacio Torroba , Christopher Illife Sprague , John Folkesson

In this study, we investigate the problem of tracking objects with unknown shapes using three-dimensional (3D) point cloud data. We propose a Gaussian process-based model to jointly estimate object kinematics, including position,…

Signal Processing · Electrical Eng. & Systems 2021-04-12 Murat Kumru , Emre Özkan

We consider the problem of planning a collision-free path for a high-dimensional robot. Specifically, we suggest a planning framework where a motion-planning algorithm can obtain guidance from a user. In contrast to existing approaches that…

Robotics · Computer Science 2018-07-24 Fahad Islam , Oren Salzman , Maxim Likhachev