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In this article, we present a novel approach to multivariate probabilistic forecasting. Our approach is based on an extension of single-output quantile regression (QR) to multivariate-targets, called quantile surfaces (QS). QS uses a simple…

Applications · Statistics 2020-10-13 Maarten Bieshaar , Jens Schreiber , Stephan Vogt , André Gensler , Bernhard Sick

This paper aims to quantify uncertainty in traffic state estimation (TSE) using the generative adversarial network based physics-informed deep learning (PIDL). The uncertainty of the focus arises from fundamental diagrams, in other words,…

Machine Learning · Computer Science 2022-11-11 Zhaobin Mo , Yongjie Fu , Xuan Di

Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

Methodology · Statistics 2026-05-26 Alberto Caimo , Isabella Gollini

In this paper, we present a learning-based framework that accelerates time- and energy-optimal trajectory planning for connected and automated vehicles (CAVs) using graph neural networks (GNNs). We formulate the multi-agent coordination…

Systems and Control · Electrical Eng. & Systems 2026-05-14 Viet-Anh Le , Andreas A. Malikopoulos

Conformal prediction has become increasingly popular for quantifying the uncertainty associated with machine learning models. Recent work in graph uncertainty quantification has built upon this approach for conformal graph prediction. The…

Machine Learning · Computer Science 2025-05-21 Pranav Maneriker , Aditya T. Vadlamani , Anutam Srinivasan , Yuntian He , Ali Payani , Srinivasan Parthasarathy

Autonomous systems in the road transportation network require intelligent mechanisms that cope with uncertainty to foresee the future. In this paper, we propose a multi-stage probabilistic approach for trajectory forecasting: trajectory…

Machine Learning · Computer Science 2023-07-28 Tiago Rodrigues de Almeida , Oscar Martinez Mozos

We introduce the variational graph auto-encoder (VGAE), a framework for unsupervised learning on graph-structured data based on the variational auto-encoder (VAE). This model makes use of latent variables and is capable of learning…

Machine Learning · Statistics 2016-11-23 Thomas N. Kipf , Max Welling

Predicting the motion of a driver's vehicle is crucial for advanced driving systems, enabling detection of potential risks towards shared control between the driver and automation systems. In this paper, we propose a variational neural…

Robotics · Computer Science 2019-03-07 Xin Huang , Stephen McGill , Brian C. Williams , Luke Fletcher , Guy Rosman

Effective understanding of the environment and accurate trajectory prediction of surrounding dynamic obstacles are critical for intelligent systems such as autonomous vehicles and wheeled mobile robotics navigating in complex scenarios to…

Computer Vision and Pattern Recognition · Computer Science 2019-07-30 Jiachen Li , Hengbo Ma , Masayoshi Tomizuka

Mission planners for aircraft operating under threat of detection by ground-based radar systems are concerned with the probability of detection. Current path planning methods for such scenarios consider the aircraft pose, radar position,…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Austin Costley , Greg Droge , Randall Christensen , Robert C. Leishman , James Swedeen

Graphical models are widely used in diverse application domains to model the conditional dependencies amongst a collection of random variables. In this paper, we consider settings where the graph structure is covariate-dependent, and…

Machine Learning · Statistics 2025-04-24 Jiahe Lin , Yikai Zhang , George Michailidis

Accurate probabilistic predictions are essential for optimal decision making. While neural network miscalibration has been studied primarily in classification, we investigate this in the less-explored domain of regression. We conduct the…

Machine Learning · Computer Science 2023-06-08 Victor Dheur , Souhaib Ben Taieb

Disease-gene prediction (DGP) refers to the computational challenge of predicting associations between genes and diseases. Effective solutions to the DGP problem have the potential to accelerate the therapeutic development pipeline at early…

Machine Learning · Computer Science 2019-07-15 Vikash Singh , Pietro Lio'

Conformal prediction is an uncertainty quantification method that constructs a prediction set for a previously unseen datum, ensuring the true label is included with a predetermined coverage probability. Adaptive conformal prediction has…

Machine Learning · Computer Science 2024-11-07 Erfan Hajihashemi , Yanning Shen

This paper presents a method to predict the evolution of a complex traffic scenario with multiple objects. The current state of the scenario is assumed to be known from sensors and the prediction is taking into account various hypotheses…

Machine Learning · Computer Science 2025-12-16 Parthasarathy Nadarajan , Michael Botsch

An efficient path planner for autonomous car-like vehicles should handle the strong kinematic constraints, particularly in confined spaces commonly encountered while maneuvering in city traffic, and should enable rapid planning, as the city…

Robotics · Computer Science 2020-03-03 Piotr Kicki , Tomasz Gawron , Piotr Skrzypczyński

Sampling-based path planning is a widely used method in robotics, particularly in high-dimensional state space. Among the whole process of the path planning, collision detection is the most time-consuming operation. In this paper, we…

Robotics · Computer Science 2023-11-23 Xingrong Diao , Wenzheng Chi , Jiankun Wang

Safety is a critical concern for the success of urban air mobility, especially in dynamic and uncertain environments. This paper proposes a path planning algorithm based on RRT in conjunction with chance constraints in the presence of…

Robotics · Computer Science 2022-03-15 Pengcheng Wu , Lin Li , Junfei Xie , Jun Chen

Q-learning methods are widely used in robot path planning but often face challenges of inefficient search and slow convergence. We propose an Improved Q-learning (IQL) framework that enhances standard Q-learning in two significant ways.…

Robotics · Computer Science 2025-01-10 Wei Liu , Ruiyang Wang , Haonan Wang , Guangwei Liu

We consider the problem of image representation for the tasks of unsupervised learning and semi-supervised learning. In those learning tasks, the raw image vectors may not provide enough representation for their intrinsic structures due to…

Machine Learning · Computer Science 2014-02-20 Yiyi Liao , Yue Wang , Yong Liu