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The performance of tracking algorithms strongly depends on the chosen model assumptions regarding the target dynamics. If there is a strong mismatch between the chosen model and the true object motion, the track quality may be poor or the…

Machine Learning · Statistics 2024-10-15 Isabel Schlangen , André Brandenburger , Mengwei Sun , James R. Hopgood

Extended object tracking considers the simultaneous estimation of the kinematic state and the shape parameters of a moving object based on a varying number of noisy detections. A main challenge in extended object tracking is the…

Systems and Control · Computer Science 2019-09-05 Shishan Yang , Marcus Baum

The Gaussian process (GP) is a powerful tool for nonparametric modeling, but its sensitivity to outliers limits its applicability to data distributions with heavy-tails. Studentt processes offer a robust alternative for heavy tail modeling,…

Machine Learning · Computer Science 2026-03-11 Jian Xu , Delu Zeng , John Paisley

We introduce Latent Gaussian Process Regression which is a latent variable extension allowing modelling of non-stationary multi-modal processes using GPs. The approach is built on extending the input space of a regression problem with a…

Machine Learning · Statistics 2017-09-19 Erik Bodin , Neill D. F. Campbell , Carl Henrik Ek

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

Gaussian process (GP) priors are non-parametric generative models with appealing modelling properties for Bayesian inference: they can model non-linear relationships through noisy observations, have closed-form expressions for training and…

Machine Learning · Statistics 2020-01-31 Gonzalo Rios

This work introduces the Efficient Transformed Gaussian Process (ETGP), a new way of creating C stochastic processes characterized by: 1) the C processes are non-stationary, 2) the C processes are dependent by construction without needing a…

Machine Learning · Computer Science 2022-06-01 Juan Maroñas , Daniel Hernández-Lobato

With recent advances in sensing technologies, a myriad of spatio-temporal data has been generated and recorded in smart cities. Forecasting the evolution patterns of spatio-temporal data is an important yet demanding aspect of urban…

Machine Learning · Computer Science 2023-11-27 Guangyin Jin , Yuxuan Liang , Yuchen Fang , Zezhi Shao , Jincai Huang , Junbo Zhang , Yu Zheng

Spatio-temporal graph neural networks have proven efficacy in capturing complex dependencies for urban computing tasks such as forecasting and kriging. Yet, their performance is constrained by the reliance on extensive data for training on…

Machine Learning · Computer Science 2024-11-08 Junfeng Hu , Xu Liu , Zhencheng Fan , Yifang Yin , Shili Xiang , Savitha Ramasamy , Roger Zimmermann

Continuous-time trajectory estimation is an attractive alternative to discrete-time batch estimation due to the ability to incorporate high-frequency measurements from asynchronous sensors while keeping the number of optimization parameters…

Robotics · Computer Science 2024-02-02 Jacob Johnson , Joshua Mangelson , Timothy Barfoot , Randal Beard

Physical systems can often be described via a continuous-time dynamical system. In practice, the true system is often unknown and has to be learned from measurement data. Since data is typically collected in discrete time, e.g. by sensors,…

Machine Learning · Computer Science 2024-01-31 Katharina Ensinger , Nicholas Tagliapietra , Sebastian Ziesche , Sebastian Trimpe

A robotic system which approximates the user intention and appropriate complimentary motion is critical for successful human-robot interaction. %While the existing wearable sensors can monitor human movements in real-time, prediction of…

Robotics · Computer Science 2017-07-11 Muriel Lang , Satoshi Endo , Oliver Dunkley , Sandra Hirche

Traffic congestion event prediction is an important yet challenging task in intelligent transportation systems. Many existing works about traffic prediction integrate various temporal encoders and graph convolution networks (GCNs), called…

Machine Learning · Computer Science 2023-11-16 Guangyin Jin , Lingbo Liu , Fuxian Li , Jincai Huang

Recent advances in transformer-based lightweight object tracking have established new standards across benchmarks, leveraging the global receptive field and powerful feature extraction capabilities of attention mechanisms. Despite these…

Computer Vision and Pattern Recognition · Computer Science 2026-01-15 Junze Shi , Yang Yu , Jian Shi , Haibo Luo

We introduce Deep Jump Gaussian Processes (DJGP), a novel method for surrogate modeling of a piecewise continuous function on a high-dimensional domain. DJGP addresses the limitations of conventional Jump Gaussian Processes (JGP) in…

Machine Learning · Computer Science 2026-01-16 Yang Xu , Chiwoo Park

By enabling constraint-aware online model adaptation, model predictive control using Gaussian process (GP) regression has exhibited impressive performance in real-world applications and received considerable attention in the learning-based…

Optimization and Control · Mathematics 2024-09-17 Amon Lahr , Andrea Zanelli , Andrea Carron , Melanie N. Zeilinger

While the tracking of multiple extended targets demands for sophisticated algorithms to handle the high complexity inherent to the task, it also requires low runtime for online execution in real-world scenarios. In this work, we derive a…

Systems and Control · Electrical Eng. & Systems 2024-11-19 Christian Gramsch , Shishan Yang , Hosam Alqaderi

Nonstationary Gaussian processes (GPs) are essential for modeling complex, locally heterogeneous spatial data. A common modeling approach is the spatial deformation method that warps the domain to recover isotropy. However, this static…

Machine Learning · Computer Science 2026-05-01 Minghao Gu , Weizhi Lin , Qiang Huang

We present a continuous time state estimation framework that unifies traditionally individual tasks of smoothing, tracking, and forecasting (STF), for a class of targets subject to smooth motion processes, e.g., the target moves with nearly…

Applications · Statistics 2021-04-21 Tiancheng Li , Huimin Chen , Shudong Sun , Juan M Corchado

An important issue in quadcopter control is that an accurate dynamic model of the system is nonlinear, complex, and costly to obtain. This limits achievable control performance in practice. Gaussian process (GP) based estimation is an…

Systems and Control · Electrical Eng. & Systems 2021-12-23 Yuhan Liu , Roland Tóth
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