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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 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 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 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

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

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 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

In this paper, we show the spooky effect at a distance that arises in optimal estimation of multiple targets with the optimal sub-pattern assignment (OSPA) metric. This effect refers to the fact that if we have several independent potential…

Signal Processing · Electrical Eng. & Systems 2019-08-26 Ángel F. García-Fernández , Lennart Svensson

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 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

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

Metrics on the space of sets of trajectories are important for scientists in the field of computer vision, machine learning, robotics, and general artificial intelligence. However, existing notions of closeness between sets of trajectories…

Computer Vision and Pattern Recognition · Computer Science 2020-11-17 José Bento , Jia Jie Zhu

Multiple instance data are sets or multi-sets of unordered elements. Using metrics or distances for sets, we propose an approach to several multiple instance learning tasks, such as clustering (unsupervised learning), classification…

Machine Learning · Computer Science 2017-03-28 Quang N. Tran , Ba-Ngu Vo , Dinh Phung , Ba-Tuong Vo , Thuong Nguyen

Multi-object tracking algorithms are deployed in various applications, each with different performance requirements. For example, track switches pose significant challenges for offline scene understanding, as they hinder the accuracy of…

Systems and Control · Electrical Eng. & Systems 2025-08-29 Jan Krejčí , Oliver Kost , Ondřej Straka , Yuxuan Xia , Lennart Svensson , Ángel F. García-Fernández

This paper proposes a family of graph metrics for measuring distances between graphs of different sizes. The proposed metric family defines a general form of the graph generalised optimal sub-pattern assignment (GOSPA) metric and is also…

Social and Information Networks · Computer Science 2025-06-24 Jinhao Gu , Ángel F. García-Fernández , Robert E. Firth , Lennart Svensson

Particle filtering for target tracking using multi-input multi-output (MIMO) pulse-Doppler radars faces three long-standing obstacles: a) the absence of reliable likelihood models for raw radar data; b) the computational and statistical…

Signal Processing · Electrical Eng. & Systems 2025-12-11 Shixiong Wang , Wei Dai , Geoffrey Ye Li

A large-scale multi-object tracker based on the generalised labeled multi-Bernoulli (GLMB) filter is proposed. The algorithm is capable of tracking a very large, unknown and time-varying number of objects simultaneously, in the presence of…

Computation · Statistics 2018-04-19 Michael Beard , Ba Tuong Vo , Ba-Ngu Vo

This paper proposes a novel framework for delay-tolerant particle filtering that is computationally efficient and has limited memory requirements. Within this framework the informativeness of a delayed (out-of-sequence) measurement (OOSM)…

Applications · Statistics 2015-05-20 Boris N. Oreshkin , Xuan Liu , Mark J. Coates

Designing metrics for evaluating instance segmentation revolves around comprehensively considering object detection and segmentation accuracy. However, other important properties, such as sensitivity, continuity, and equality, are…

Computer Vision and Pattern Recognition · Computer Science 2023-09-12 Long Chen , Yuli Wu , Johannes Stegmaier , Dorit Merhof

In this paper, we focus on a matrix factorization-based approach to recover low-rank {\it asymmetric} matrices from corrupted measurements. We propose an {\it Overparameterized Preconditioned Subgradient Algorithm (OPSA)} and provide, for…

Optimization and Control · Mathematics 2025-05-30 Paris Giampouras , HanQin Cai , Rene Vidal
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