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This paper presents an analysis on sensor management using a cost function based on a multi-target metric, in particular, the optimal subpattern-assignment (OSPA) metric, the unnormalised OSPA (UOSPA) metric and the generalised OSPA (GOSPA)…

Systems and Control · Electrical Eng. & Systems 2021-11-09 Ángel F. García-Fernández , Marcel Hernandez , Simon Maskell

This paper presents the generalized optimal sub-pattern assignment (GOSPA) metric on the space of finite sets of targets. Compared to the well-established optimal sub-pattern assignment (OSPA) metric, GOSPA is unnormalized as a function of…

Systems and Control · Computer Science 2018-09-13 Abu Sajana Rahmathullah , Ángel F. García-Fernández , Lennart Svensson

This paper presents a probabilistic generalization of the Generalized Optimal Sub-Pattern Assignment (GOSPA) metric, termed P-GOSPA. The GOSPA metric has been widely used to evaluate the distance between finite sets, particularly in…

Signal Processing · Electrical Eng. & Systems 2025-06-17 Yuxuan Xia , Ángel F. García-Fernández , Johan Karlsson , Kuo-Chu Chang , Ting Yuan , Lennart Svensson

This paper presents a generalization of the trajectory general optimal sub-pattern assignment (GOSPA) metric for evaluating multi-object tracking algorithms that provide trajectory estimates with track-level uncertainties. This metric…

Signal Processing · Electrical Eng. & Systems 2025-06-19 Yuxuan Xia , Ángel F. García-Fernández , Johan Karlsson , Yu Ge , Lennart Svensson , Ting Yuan

This paper proposes and evaluates a new metric. This metric will overcome a limitation of the Optimal Subpattern Assignment (OSPA) metric mentioned by Schuhmacher et al.: the OSPA distance between two sets of points is insensitive to the…

Signal Processing · Electrical Eng. & Systems 2023-06-27 Tuyet Vu

This paper is concerned with sensor management for target search and track using the generalised optimal subpattern assignment (GOSPA) metric. Utilising the GOSPA metric to predict future system performance is computationally challenging,…

Optimization and Control · Mathematics 2023-10-19 Marcel Hernandez , Angel Garcia-Fernandez , Simon Maskell

In this paper, we propose a new metric which measures the distance between two finite sets of tracks (a track is a path of either a real or estimated target). This metric is based on the same principle as the Optimal Subpattern Assignment…

Signal Processing · Electrical Eng. & Systems 2019-04-17 Tuyet Vu , Rob Evans

This paper introduces two quasi-metrics for performance assessment of multi-object tracking (MOT) algorithms. One quasi-metric is an extension of the generalised optimal subpattern assignment (GOSPA) metric and measures the discrepancy…

Computer Vision and Pattern Recognition · Computer Science 2026-04-27 Ángel F. García-Fernández , Jinhao Gu , Lennart Svensson , Yuxuan Xia , Jan Krejčí , Oliver Kost , Ondřej Straka

This paper proposes a metric to measure the dissimilarity between graphs that may have a different number of nodes. The proposed metric extends the generalised optimal subpattern assignment (GOSPA) metric, which is a metric for sets, to…

Social and Information Networks · Computer Science 2024-08-28 Jinhao Gu , Ángel F. García-Fernández , Robert E. Firth , Lennart Svensson

The evaluation of multiple target tracking algorithms with labelled sets can be done using the labelled optimal subpattern assignment (LOSPA) metric. In this paper, we provide the expression of the same metric for fixed and known number of…

Systems and Control · Computer Science 2014-10-30 Ángel F. García-Fernández , Mark R. Morelande , Jesús Grajal

In experiments where one searches a large parameter space for an anomaly, one often finds many spurious noise-induced peaks in the likelihood. This is known as the look-elsewhere effect, and must be corrected for when performing statistical…

Instrumentation and Methods for Astrophysics · Physics 2021-09-29 Adrian E. Bayer , Uros Seljak , Jakob Robnik

Given a $K$-vertex simplex in a $d$-dimensional space, suppose we measure $n$ points on the simplex with noise (hence, some of the observed points fall outside the simplex). Vertex hunting is the problem of estimating the $K$ vertices of…

Machine Learning · Computer Science 2024-03-19 Jiashun Jin , Zheng Tracy Ke , Gabriel Moryoussef , Jiajun Tang , Jingming Wang

Stochastic Approximation has been a prominent set of tools for solving problems with noise and uncertainty. Increasingly, it becomes important to solve optimization problems wherein there is noise in both a set of constraints that a…

Optimization and Control · Mathematics 2025-07-29 Francisco Facchinei , Vyacheslav Kungurtsev

Spatial confounding between the spatial random effects and fixed effects covariates has been recently discovered and showed that it may bring misleading interpretation to the model results. Solutions to alleviate this problem are based on…

Methodology · Statistics 2016-05-17 Marcos O. Prates , Erica C. Rodrigues , Renato M. Assunção

We study the influence rules of the speckle size of light source on ghost imaging, and propose a new type of speckle patterns to improve the quality of ghost imaging. The results show that the image quality will first increase and then…

Discrete stochastic optimization considers the problem of minimizing (or maximizing) loss functions defined on discrete sets, where only noisy measurements of the loss functions are available. The discrete stochastic optimization problem is…

Optimization and Control · Mathematics 2013-11-04 Qi Wang

We introduce the Graph TT (GTT) and Graph OSPA (GOSPA) metrics based on optimal assignment, which allow us to compare not only the edge structures but also general vertex and edge attributes of graphs of possibly different sizes. We argue…

Probability · Mathematics 2023-08-24 Dominic Schuhmacher , Leoni Carla Wirth

We investigate mismatched estimation in the context of the distance geometry problem (DGP). In the DGP, for a set of points, we are given noisy measurements of pairwise distances between the points, and our objective is to determine the…

Signal Processing · Electrical Eng. & Systems 2022-06-14 Mahmoud Abdelkhalek , Dror Baron , Chau-Wai Wong

We propose Okapi, a simple, efficient, and general method for robust semi-supervised learning based on online statistical matching. Our method uses a nearest-neighbours-based matching procedure to generate cross-domain views for a…

Computer Vision and Pattern Recognition · Computer Science 2022-11-11 Myles Bartlett , Sara Romiti , Viktoriia Sharmanska , Novi Quadrianto

Stochastic computer simulations enable users to gain new insights into complex physical systems. Optimization is a common problem in this context: users seek to find model inputs that maximize the expected value of an objective function.…

Optimization and Control · Mathematics 2018-09-13 Atiye Alaeddini , Daniel J. Klein
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