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We demonstrate an equivalence between reproducing kernel Hilbert space (RKHS) embeddings of conditional distributions and vector-valued regressors. This connection introduces a natural regularized loss function which the RKHS embeddings…

Machine Learning · Computer Science 2012-07-25 Steffen Grünewälder , Guy Lever , Luca Baldassarre , Sam Patterson , Arthur Gretton , Massimilano Pontil

This work studies the distributionally robust evaluation of expected values over temporal data. A set of alternative measures is characterized by the causal optimal transport. We prove the strong duality and recast the causality constraint…

Mathematical Finance · Quantitative Finance 2025-06-18 Bingyan Han

Accurately forecasting the motion of traffic actors is crucial for the deployment of autonomous vehicles at a large scale. Current trajectory forecasting approaches primarily concentrate on optimizing a loss function with a specific metric,…

Robotics · Computer Science 2024-07-31 Abhishek Vivekanandan , Ahmed Abouelazm , Philip Schörner , J. Marius Zöllner

As mobile service robots increasingly coexist with pedestrians, ensuring passively safe behaviour during confined emergency evacuations is critical. Existing multi-robot yielding strategies often focus solely on collision avoidance and…

Robotics · Computer Science 2026-05-18 Ning Zhou , Edmund R. Hunt , Nikolai W. F. Bode

We propose a scalable robust learning algorithm combining kernel smoothing and robust optimization. Our method is motivated by the convex analysis perspective of distributionally robust optimization based on probability metrics, such as the…

Machine Learning · Computer Science 2022-02-22 Jia-Jie Zhu , Christina Kouridi , Yassine Nemmour , Bernhard Schölkopf

Robust autonomy stacks require tight integration of perception, motion planning, and control layers, but these layers often inadequately incorporate inherent perception and prediction uncertainties, either ignoring them altogether or making…

Systems and Control · Electrical Eng. & Systems 2022-01-06 Venkatraman Renganathan , Sleiman Safaoui , Aadi Kothari , Benjamin Gravell , Iman Shames , Tyler Summers

For autonomous vehicles, effective behavior planning is crucial to ensure safety of the ego car. In many urban scenarios, it is hard to create sufficiently general heuristic rules, especially for challenging scenarios that some new human…

Robotics · Computer Science 2020-11-11 Zhiqian Qiao , Jeff Schneider , John M. Dolan

In autonomous navigation of mobile robots, sensors suffer from massive occlusion in cluttered environments, leaving significant amount of space unknown during planning. In practice, treating the unknown space in optimistic or pessimistic…

Robotics · Computer Science 2021-03-30 Lizi Wang , Hongkai Ye , Qianhao Wang , Yuman Gao , Chao Xu , Fei Gao

Advanced collision avoidance and driver hand-off systems can benefit from the ability to accurately predict, in real time, the probability a vehicle will be involved in a collision within an intermediate horizon of 10 to 20 seconds. The…

Computer Vision and Pattern Recognition · Computer Science 2018-02-06 Blake Wulfe , Sunil Chintakindi , Sou-Cheng T. Choi , Rory Hartong-Redden , Anuradha Kodali , Mykel J. Kochenderfer

We investigate the problem of risk averse robot path planning using the deep reinforcement learning and distributionally robust optimization perspectives. Our problem formulation involves modelling the robot as a stochastic linear dynamical…

Robotics · Computer Science 2022-11-07 Cem Alpturk , Venkatraman Renganathan

In this paper, we extend a framework that we developed earlier for coordination of connected and automated vehicles (CAVs) at a signal-free intersection to incorporate uncertainty. Using the possibly noisy observations of actual time…

Optimization and Control · Mathematics 2022-06-13 Behdad Chalaki , Andreas A. Malikopoulos

This study presents a dynamic safety margin-based reinforcement learning framework for local motion planning in dynamic and uncertain environments. The proposed planner integrates real-time trajectory optimization with adaptive gap…

Robotics · Computer Science 2025-05-20 Tengfei Liu , Haoyang Zhong , Jiazheng Hu , Tan Zhang

Path planning and collision avoidance are challenging in complex and highly variable environments due to the limited horizon of events. In literature, there are multiple model- and learning-based approaches that require significant…

Robotics · Computer Science 2022-06-22 Carlo Tiseo , Vladimir Ivan , Wolfgang Merkt , Ioannis Havoutis , Michael Mistry , Sethu Vijayakumar

Learning priors on trajectory distributions can help accelerate robot motion planning optimization. Given previously successful plans, learning trajectory generative models as priors for a new planning problem is highly desirable. Prior…

Robotics · Computer Science 2024-03-27 Joao Carvalho , An T. Le , Mark Baierl , Dorothea Koert , Jan Peters

Most research designing novel predictive models, or employing existing ones, assumes that training and testing data are independent and identically distributed. In practice, the data encountered at serving time often deviate from the…

Machine Learning · Computer Science 2026-03-30 Hanyu Duan , Yi Yang , Ahmed Abbasi , Kar Yan Tam

Safety is a critical concern in motion planning for autonomous vehicles. Modern autonomous vehicles rely on neural network-based perception, but making control decisions based on these inference results poses significant safety risks due to…

Robotics · Computer Science 2025-12-24 Hyeongchan Ham , Heejin Ahn

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

Selective prediction, where a model has the option to abstain from making a decision, is crucial for machine learning applications in which mistakes are costly. In this work, we focus on distributional regression and introduce a framework…

Statistics Theory · Mathematics 2025-04-01 Ahmed Zaoui , Clément Dombry

In communication restricted environments, a multi-robot system can be deployed to either: i) maintain constant communication but potentially sacrifice operational efficiency due to proximity constraints or ii) allow disconnections to…

Robotics · Computer Science 2023-08-02 Lauren Bramblett , Shijie Gao , Nicola Bezzo

Many machine learning approaches for decision making, such as reinforcement learning, rely on simulators or predictive models to forecast the time-evolution of quantities of interest, e.g., the state of an agent or the reward of a policy.…

Machine Learning · Computer Science 2024-01-17 Petar Bevanda , Max Beier , Armin Lederer , Stefan Sosnowski , Eyke Hüllermeier , Sandra Hirche
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