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This paper presents a global trajectory optimization framework for minimizing lap time in autonomous racing under uncertain vehicle dynamics. Optimizing the trajectory over the full racing horizon is computationally expensive, and tracking…

Robotics · Computer Science 2026-01-30 Youngim Nam , Jungbin Kim , Kyungtae Kang , Cheolhyeon Kwon

We propose factor graph optimization for simultaneous planning, control, and trajectory estimation for collision-free navigation of autonomous systems in environments with moving objects. The proposed online probabilistic motion planning…

Robotics · Computer Science 2022-04-29 Matthew King-Smith , Panagiotis Tsiotras , Frank Dellaert

Learning the potentials of interacting particle systems is a fundamental task across various scientific disciplines. A major challenge is that unlabeled data collected at discrete time points lack trajectory information due to limitations…

Machine Learning · Statistics 2026-04-06 Viska Wei , Fei Lu

We propose a likelihood ratio based inferential framework for high dimensional semiparametric generalized linear models. This framework addresses a variety of challenging problems in high dimensional data analysis, including incomplete…

Machine Learning · Statistics 2015-11-24 Yang Ning , Tianqi Zhao , Han Liu

We present a novel probabilistic approach for optimal path experimental design. In this approach a discrete path optimization problem is defined on a static navigation mesh, and trajectories are modeled as random variables governed by a…

Optimization and Control · Mathematics 2026-01-19 Ahmed Attia

The search for traveltime parameters is a global optimization problem. Several metaheuristics have been proposed to locate the global optima to compute the least amount of their objective functions. However, the theoretical limitations…

Geophysics · Physics 2023-04-25 José Ribeiro , Nicholas Okita , Tiago A. Coimbra , Jorge H. Faccipieri

Due to the advent of new mobile devices and tracking sensors in recent years, huge amounts of data are being produced every day. Therefore, novel methodologies need to emerge that dive through this vast sea of information and generate…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Ioannis Kontopoulos , Antonios Makris , Konstantinos Tserpes , Vania Bogorny

We introduce a new pattern recognition algorithm for track finding in High Energy Physics Experiments based on an extension of the Hough Transform to multiple dimensions. A remarkable property of this algorithm is that the execution time is…

High Energy Physics - Experiment · Physics 2024-02-07 Luciano Ristori

This paper develops a parameter-free adaptive proximal bundle method with two important features: 1) adaptive choice of variable prox stepsizes that "closely fits" the instance under consideration; and 2) adaptive criterion for making the…

Optimization and Control · Mathematics 2024-10-29 Renato D. C. Monteiro , Honghao Zhang

Accurate trajectory prediction is fundamentally challenging due to high scene heterogeneity - the severe variance in motion velocity, spatial density, and interaction patterns across different real-world environments. However, most existing…

Machine Learning · Computer Science 2026-05-22 Xinrun Wang , Deshun Xia , Yuxi Sun , Weijie Zhu

Although traffic is one of the massively collected data, it is often only available for specific regions. One concern is that, although there are studies that give good results for these data, the data from these regions may not be…

Machine Learning · Computer Science 2023-10-05 Sarah Almeida Carneiro , Giovanni Chierchia , Jean Charléty , Aurélie Chataignon , Laurent Najman

High-dimensional partial differential equations (PDEs) are ubiquitous in economics, science and engineering. However, their numerical treatment poses formidable challenges since traditional grid-based methods tend to be frustrated by the…

Machine Learning · Statistics 2021-07-20 Lorenz Richter , Leon Sallandt , Nikolas Nüsken

This paper presents a new algorithm to track mobile objects in different scene conditions. The main idea of the proposed tracker includes estimation, multi-features similarity measures and trajectory filtering. A feature set (distance,…

Computer Vision and Pattern Recognition · Computer Science 2011-06-15 Duc Phu Chau , François Bremond , Monique Thonnat , Etienne Corvee

Motion trajectory planning is one crucial aspect for automated vehicles, as it governs the own future behavior in a dynamically changing environment. A good utilization of a vehicle's characteristics requires the consideration of the…

Optimization and Control · Mathematics 2018-07-31 Franz Gritschneder , Knut Graichen , Klaus Dietmayer

We provide the first comprehensive study on how to classify trajectories using only their spatial representations, measured on 5 real-world data sets. Our comparison considers 20 distinct classifiers arising either as a KNN classifier of a…

Computational Geometry · Computer Science 2022-09-07 Hasan Pourmahmood-Aghababa , Jeff M. Phillips

We propose a new method for parameter learning in Bayesian networks with qualitative influences. This method extends our previous work from networks of binary variables to networks of discrete variables with ordered values. The specified…

Artificial Intelligence · Computer Science 2012-06-26 Ad Feelders

This paper introduces the trajectory divergence rate, a scalar field which locally gives the instantaneous attraction or repulsion of adjacent trajectories. This scalar field may be used to find highly attracting or repelling invariant…

Chaotic Dynamics · Physics 2019-04-10 Gary K. Nave, , Peter J. Nolan , Shane D. Ross

Hierarchical text classification has many real-world applications. However, labeling a large number of documents is costly. In practice, we can use semi-supervised learning or weakly supervised learning (e.g., dataless classification) to…

Machine Learning · Computer Science 2019-02-26 Huiru Xiao , Xin Liu , Yangqiu Song

Predicting the future motion of vehicles has been studied using various techniques, including stochastic policies, generative models, and regression. Recent work has shown that classification over a trajectory set, which approximates…

Machine Learning · Computer Science 2021-01-15 Freddy A. Boulton , Elena Corina Grigore , Eric M. Wolff

Most passivity based trajectory tracking algorithms for mechanical systems can only stabilise reference trajectories that have constant energy. This paper overcomes this limitation by deriving a single variable Hamiltonian model for the…

Systems and Control · Electrical Eng. & Systems 2021-07-30 Robert Mahony
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