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We focus in this paper in the estimation of a target trajectory defined by whether a time constant parameter in a simple stochastic process or a random walk with binary observations. The binary observation comes from binary derivative…

Information Theory · Computer Science 2012-04-25 Adrien Ickowicz

In empirical studies of random walks, continuous trajectories of animals or individuals are usually sampled over a finite number of points in space and time. It is however unclear how this partial observation affects the measured…

Physics and Society · Physics 2018-03-13 Riccardo Gallotti , Rémi Louf , Jean-Marc Luck , Marc Barthelemy

We study the problem of learning clusters of partially observed linear dynamical systems from multiple input-output trajectories. This setting is particularly relevant when there are limited observations (e.g., short trajectories) from…

Systems and Control · Electrical Eng. & Systems 2025-07-24 Maryann Rui , Munther A. Dahleh

As mobile devices with positioning capabilities continue to proliferate, data management for so-called trajectory databases that capture the historical movements of populations of moving objects becomes important. This paper considers the…

Databases · Computer Science 2010-02-05 Hoyoung Jeung , Man Lung Yiu , Xiaofang Zhou , Christian S. Jensen , Heng Tao Shen

This paper presents a novel approach to visual tracking: Similarity Matching Ratio (SMR). The traditional approach of tracking is minimizing some measures of the difference between the template and a patch from the frame. This approach is…

Computer Vision and Pattern Recognition · Computer Science 2012-09-13 Aysegul Dundar , Jonghoon Jin , Eugenio Culurciello

A `trajectory' refers to a trace generated by a moving object in geographical spaces, usually represented by of a series of chronologically ordered points, where each point consists of a geo-spatial coordinate set and a timestamp. Rapid…

Machine Learning · Computer Science 2021-11-16 Seongjin Choi

Telematics data is becoming increasingly available due to the ubiquity of devices that collect data during drives, for different purposes, such as usage based insurance (UBI), fleet management, navigation of connected vehicles, etc.…

Artificial Intelligence · Computer Science 2020-04-06 Sobhan Moosavi , Arnab Nandi , Rajiv Ramnath

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

Efficient and accurate particle tracking is crucial for measuring Standard Model parameters and searching for new physics. This task consists of two major computational steps: track finding, the identification of a subset of all hits that…

High Energy Physics - Experiment · Physics 2025-09-16 Ryan Miller , Alexander Shmakov , Kyuho Oh , Jiwon Lee , Pierre Baldi , Levi Condren , Makayla Vessella , Daniel Whiteson

Measuring similarity between complex objects is a fundamental task in many scientific fields. When objects are represented as graphs, graph similarity/distance measures offer a powerful framework for quantifying structural resemblance.…

Combinatorics · Mathematics 2025-09-30 Matthias Dehmer , Izudin Redžepović , Niko Tratnik , Petra Žigert Pleteršek

In this paper we tackle the issue of clustering trajectories of geolocalized observations. Using clustering technics based on the choice of a distance between the observations, we first provide a comprehensive review of the different…

Machine Learning · Statistics 2015-08-21 Philippe Besse , Brendan Guillouet , Jean-Michel Loubes , Royer François

Clustering is an underspecified task: there are no universal criteria for what makes a good clustering. This is especially true for relational data, where similarity can be based on the features of individuals, the relationships between…

Machine Learning · Statistics 2017-09-29 Sebastijan Dumancic , Hendrik Blockeel

Target tracking and trajectory modeling have important applications in surveillance video analysis and have received great attention in the fields of road safety and community security. In this work, we propose a lightweight real-time video…

Computer Vision and Pattern Recognition · Computer Science 2023-05-16 Aximu Yuemaier , Xiaogang Chen , Xingyu Qian , Longfei Liang , Shunfeng Li , Zhitang Song

Inferring the causal direction between two variables from their observation data is one of the most fundamental and challenging topics in data science. A causal direction inference algorithm maps the observation data into a binary value…

Machine Learning · Computer Science 2020-06-08 Yulai Zhang , Jiachen Wang , Gang Cen , Guiming Luo

This paper presents a novel problem for discovering the similar trajectories based on the field of view (FoV) of the video data. The problem is important for many societal applications such as grouping moving objects, classifying…

Computer Vision and Pattern Recognition · Computer Science 2019-05-10 Wei Ding , KwangSoo Yang , Kwang Woo Nam

Measuring inter-dataset similarity is an important task in machine learning and data mining with various use cases and applications. Existing methods for measuring inter-dataset similarity are computationally expensive, limited, or…

Machine Learning · Computer Science 2025-05-06 Muhammad Rajabinasab , Anton D. Lautrup , Arthur Zimek

Distance queries are a basic tool in data analysis. They are used for detection and localization of change for the purpose of anomaly detection, monitoring, or planning. Distance queries are particularly useful when data sets such as…

Data Structures and Algorithms · Computer Science 2015-03-20 Edith Cohen

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

Adaptive tracking-by-detection approaches are popular for tracking arbitrary objects. They treat the tracking problem as a classification task and use online learning techniques to update the object model. However, these approaches are…

Computer Vision and Pattern Recognition · Computer Science 2017-04-04 Kourosh Meshgi , Maryam Sadat Mirzaei , Shigeyuki Oba , Shin Ishii

The increasingly wide usage of location aware sensors has made it possible to collect large volume of trajectory data in diverse application domains. Machine learning allows to study the activities or behaviours of moving objects (e.g.,…

Machine Learning · Computer Science 2023-01-12 Mashud Rana , Ashfaqur Rahman , Daniel Smith
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