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Compressed sensing theory indicates that selecting a few measurements independently at random is a near optimal strategy to sense sparse or compressible signals. This is infeasible in practice for many acquisition devices that acquire sam-…

Applications · Statistics 2013-07-26 Nicolas Chauffert , Philippe Ciuciu , Jonas Kahn , Pierre Weiss

In this paper we introduce a novel particle filter scheme for a class of partially-observed multivariate diffusions. %continuous-time dynamic models where the %signal is given by a multivariate diffusion process. We consider a variety of…

Methodology · Statistics 2007-10-24 Paul Fearnhead , Omiros Papaspiliopoulos , Gareth Roberts

This paper analyzes a method to approximate the first passage time probability density function which turns to be particularly useful if only sample data are available. The method relies on a Laguerre-Gamma polynomial approximation and…

Probability · Mathematics 2022-12-14 Elvira Di Nardo , Giuseppe D'Onofrio , Tommaso Martini

Particle filtering algorithms have enabled practical solutions to problems in autonomous robotics (self-driving cars, UAVs, warehouse robots), target tracking, and econometrics, with further applications in speech processing and medicine…

Systems and Control · Electrical Eng. & Systems 2026-04-03 Orestis Kaparounakis , Yunqi Zhang , Phillip Stanley-Marbell

We consider Bayesian inference problems with computationally intensive likelihood functions. We propose a Gaussian process (GP) based method to approximate the joint distribution of the unknown parameters and the data. In particular, we…

Computation · Statistics 2018-03-15 Hongqiao Wang , Jinglai Li

Locality-sensitive hashing (LSH) is a fundamental technique for similarity search and similarity estimation in high-dimensional spaces. The basic idea is that similar objects should produce hash collisions with probability significantly…

Computational Geometry · Computer Science 2017-09-25 Joachim Gudmundsson , Rasmus Pagh

We consider Taylor dispersion for tracer particles in micro-fluidic planar channels with strong confinement. In this context, the channel walls modify the local diffusivity tensor and also interactions between the tracer particles and the…

Fluid Dynamics · Physics 2021-08-12 Arthur Alexandre , Thomas Guérin , David S. Dean

Trajectories represent the mobility of moving objects and thus is of great value in data mining applications. However, trajectory data is enormous in volume, so it is expensive to store and process the raw data directly. Trajectories are…

Databases · Computer Science 2020-10-20 Yunheng Han , Hanan Samet

Discriminative correlation filters show excellent performance in object tracking. However, in complex scenes, the apparent characteristics of the tracked target are variable, which makes it easy to pollute the model and cause the model…

Computer Vision and Pattern Recognition · Computer Science 2023-06-09 Qiujie Dong , Xuedong He , Haiyan Ge , Qin Liu , Aifu Han , Shengzong Zhou

In this paper, consensus-based Kalman filtering is extended to deal with the problem of joint target tracking and sensor self-localization in a distributed wireless sensor network. The average weighted Kullback-Leibler divergence, which is…

Systems and Control · Computer Science 2017-07-28 Lin Gao , Giorgio Battistelli , Luigi Chisci , Ping Wei

Sparsity is a common issue in many trajectory datasets, including human mobility data. This issue frequently brings more difficulty to relevant learning tasks, such as trajectory imputation and prediction. Nowadays, little existing work…

Machine Learning · Computer Science 2023-01-13 Kyle K. Qin , Yongli Ren , Wei Shao , Brennan Lake , Filippo Privitera , Flora D. Salim

Safety-critical applications such as autonomous vehicles and social robots require fast computation and accurate probability density estimation on trajectory prediction. To address both requirements, this paper presents a new normalizing…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Takahiro Maeda , Norimichi Ukita

This paper proposes a multi-object tracking (MOT) algorithm for traffic monitoring using a drone equipped with optical and thermal cameras. Object detections on the images are obtained using a neural network for each type of camera. The…

Computer Vision and Pattern Recognition · Computer Science 2023-08-30 Ángel F. García-Fernández , Jimin Xiao

Particle filters contain the promise of fully nonlinear data assimilation. They have been applied in numerous science areas, but their application to the geosciences has been limited due to their inefficiency in high-dimensional systems in…

Applications · Statistics 2019-04-16 Peter Jan van Leeuwen , Hans R. Künsch , Lars Nerger , Roland Potthast , Sebastian Reich

This paper defines and implements a non-Bayesian fusion rule for combining densities of probabilities estimated by local (non-linear) filters for tracking a moving target by passive sensors. This rule is the restriction to a strict…

Density tracking by quadrature (DTQ) is a numerical procedure for computing solutions to Fokker-Planck equations that describe probability densities for stochastic differential equations (SDEs). In this paper, we extend upon existing…

Numerical Analysis · Mathematics 2022-06-09 Ryleigh A. Moore , Akil Narayan

We propose MFT -- Multi-Flow dense Tracker -- a novel method for dense, pixel-level, long-term tracking. The approach exploits optical flows estimated not only between consecutive frames, but also for pairs of frames at logarithmically…

Computer Vision and Pattern Recognition · Computer Science 2023-11-13 Michal Neoral , Jonáš Šerých , Jiří Matas

In this paper, we are interested in a generalised Vlasov equation, which describes the evolution of the probability density of a particle evolving according to a generalised Vlasov dynamic. The achievement of the paper is twofold. Firstly,…

Analysis of PDEs · Mathematics 2015-01-14 Manh Hong Duong

Distributed multi-target tracking (DMTT) is addressed for sensors having different fields of view (FoVs). The proposed approach is based on the idea of fusing the posterior Probability Hypotheses Densities (PHDs) generated by the sensors on…

Systems and Control · Computer Science 2019-08-28 Guchong Li , Giorgio Battistelli , Wei Yi , Lingjiang Kong

Random finite sets (RFSs) has been a fruitful area of research in recent years, yielding new approximate filters such as the probability hypothesis density (PHD), cardinalised PHD (CPHD), and multiple target multi-Bernoulli (MeMBer). These…

Systems and Control · Computer Science 2015-03-19 Jason L. Williams