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In this paper, we propose a metric on the space of finite sets of trajectories for assessing multi-target tracking algorithms in a mathematically sound way. The main use of the metric is to compare estimates of trajectories from different…

Computer Vision and Pattern Recognition · Computer Science 2020-09-15 Ángel F. García-Fernández , Abu Sajana Rahmathullah , Lennart Svensson

Traditional algorithm analysis treats all basic operations as equally costly, which hides significant differences in time, energy consumption, and cost between different types of computations on modern processors. We propose a…

Performance · Computer Science 2025-08-20 Sergii Kavun

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

Methodologies for incorporating the uncertainties characteristic of data-driven object detectors into object tracking algorithms are explored. Object tracking methods rely on measurement error models, typically in the form of measurement…

Systems and Control · Electrical Eng. & Systems 2021-11-04 Anish Muthali , Forrest Laine , Claire Tomlin

In this paper, we propose a visual tracker based on a metric-weighted linear representation of appearance. In order to capture the interdependence of different feature dimensions, we develop two online distance metric learning methods using…

Computer Vision and Pattern Recognition · Computer Science 2016-11-17 Xi Li , Chunhua Shen , Anthony Dick , Zhongfei Zhang , Yueting Zhuang

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

Targets that generate multiple measurements at a given instant in time are commonly known as extended targets. These present a challenge for many tracking algorithms, as they violate one of the key assumptions of the standard measurement…

Computation · Statistics 2016-04-20 Michael Beard , Stephan Reuter , Karl Granström , Ba-Tuong Vo , Ba-Ngu Vo , Alexander Scheel

An algorithm for the estimation of multiple targets from partial and corrupted observations is introduced based on the concept of partially-distinguishable multi-target system. It combines the advantages of engineering solutions like MHT…

Probability · Mathematics 2017-12-05 J. Houssineau , D. E. Clark

A number of machine learning algorithms are using a metric, or a distance, in order to compare individuals. The Euclidean distance is usually employed, but it may be more efficient to learn a parametric distance such as Mahalanobis metric.…

Machine Learning · Computer Science 2016-12-16 Hoel Le Capitaine

When designing a motion planner for autonomous robots there are usually multiple objectives to be considered. However, a cost function that yields the desired trade-off between objectives is not easily obtainable. A common technique across…

Robotics · Computer Science 2023-12-13 Nils Wilde , Stephen L. Smith , Javier Alonso-Mora

Real-world machine learning applications often have complex test metrics, and may have training and test data that are not identically distributed. Motivated by known connections between complex test metrics and cost-weighted learning, we…

Machine Learning · Statistics 2019-06-18 Sen Zhao , Mahdi Milani Fard , Harikrishna Narasimhan , Maya Gupta

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 is concerned with the problem of distributed extended object tracking, which aims to collaboratively estimate the state and extension of an object by a network of nodes. In traditional tracking applications, most approaches…

Systems and Control · Computer Science 2019-03-04 Junhao Hua , Chunguang Li

Existing motion planning methods often have two drawbacks: 1) goal configurations need to be specified by a user, and 2) only a single solution is generated under a given condition. In practice, multiple possible goal configurations exist…

Robotics · Computer Science 2020-09-24 Takayuki Osa

Time series has attracted a lot of attention in many fields today. Time series forecasting algorithm based on complex network analysis is a research hotspot. How to use time series information to achieve more accurate forecasting is a…

Social and Information Networks · Computer Science 2022-08-23 Tianxiang Zhan , Fuyuan Xiao

Time series anomaly detection is widely used in IoT and cyber-physical systems, yet its evaluation remains challenging due to diverse application objectives and heterogeneous metric assumptions. This study introduces a problem-oriented…

Artificial Intelligence · Computer Science 2026-05-15 Kaixiang Yang , Jiarong Liu , Yupeng Song , Shuanghua Yang , Yujue Zhou

In the existing literature, most 3D multi-object tracking algorithms based on the tracking-by-detection framework employed deterministic tracks and detections for similarity calculation in the data association stage. Namely, the inherent…

Computer Vision and Pattern Recognition · Computer Science 2023-03-06 Jiawei He , Chunyun Fu , Xiyang Wang

This paper introduces temporally local metrics for Multi-Object Tracking. These metrics are obtained by restricting existing metrics based on track matching to a finite temporal horizon, and provide new insight into the ability of trackers…

Computer Vision and Pattern Recognition · Computer Science 2021-04-07 Jack Valmadre , Alex Bewley , Jonathan Huang , Chen Sun , Cristian Sminchisescu , Cordelia Schmid

This study aims to optimize the evaluation metric of multimodal multi-objective optimization problems using a Regionalized Metric Framework, which provides a certain boost to research in this field. Existing evaluation metrics usually use…

Neural and Evolutionary Computing · Computer Science 2025-06-03 Jintai Chen , Fangqing Liu , Xueming Yan , Han Huang

We propose a solution of the multiple target tracking (MTT) problem based on sets of trajectories and the random finite set framework. A full Bayesian approach to MTT should characterise the distribution of the trajectories given the…

Computer Vision and Pattern Recognition · Computer Science 2020-06-12 Ángel F. García-Fernández , Lennart Svensson , Mark R. Morelande
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