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This paper focuses on the problem of decentralized pedestrian tracking using a sensor network. Traditional works on pedestrian tracking usually use a centralized framework, which becomes less practical for robotic applications due to…

Computer Vision and Pattern Recognition · Computer Science 2022-03-01 Vikram Shree , Carlos Diaz-Ruiz , Chang Liu , Bharath Hariharan , Mark Campbell

Topological data analysis is a powerful tool for describing topological signatures in real world data. An important challenge in topological data analysis is matching significant topological signals across distinct systems. In geometry and…

Algebraic Topology · Mathematics 2025-02-19 Stephen Y Zhang , Michael P H Stumpf , Tom Needham , Agnese Barbensi

Due to the advent of new mobile devices and tracking sensors in recent years, huge amounts of data are being produced every day. Therefore, novel methodologies need to emerge that dive through this vast sea of information and generate…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Ioannis Kontopoulos , Antonios Makris , Konstantinos Tserpes , Vania Bogorny

The present paper aims at analyzing the topological content of the complex trajectories that weeder-autonomous robots follow in operation. We will prove that the topological descriptors of these trajectories are affected by the robot…

In this paper, we propose a novel trajectory learning method that exploits motion trajectories on topological map using recurrent neural network for temporally consistent geolocalization of object. Inspired by human's ability to both be…

Computer Vision and Pattern Recognition · Computer Science 2020-10-14 Bing Zha , Alper Yilmaz

We introduce the first unified theory for target tracking using Multiple Hypothesis Tracking, Topological Data Analysis, and machine learning. Our string of innovations are 1) robust topological features are used to encode behavioral…

In real-world systems, the relationships and connections between components are highly complex. Real systems are often described as networks, where nodes represent objects in the system and edges represent relationships or connections…

Algebraic Topology · Mathematics 2024-06-24 Shen Zhang

When humans navigate a crowed space such as a university campus or the sidewalks of a busy street, they follow common sense rules based on social etiquette. In this paper, we argue that in order to enable the design of new algorithms that…

Computer Vision and Pattern Recognition · Computer Science 2016-01-07 Alexandre Robicquet , Alexandre Alahi , Amir Sadeghian , Bryan Anenberg , John Doherty , Eli Wu , Silvio Savarese

Detecting small targets at range is difficult because there is not enough spatial information present in an image sub-region containing the target to use correlation-based methods to differentiate it from dynamic confusers present in the…

Computer Vision and Pattern Recognition · Computer Science 2021-02-15 Tegan Emerson , Sarah Tymochko , George Stantchev , Jason A. Edelberg , Michael Wilson , Colin C. Olson

This work presents a new method to quantify connectivity in transportation networks. Inspired by the field of topological data analysis, we propose a novel approach to explore the robustness of road network connectivity in the presence of…

Navigating mobile robots in social environments remains a challenging task due to the intricacies of human-robot interactions. Most of the motion planners designed for crowded and dynamic environments focus on choosing the best velocity to…

With growing numbers of intelligent autonomous systems in human environments, the ability of such systems to perceive, understand and anticipate human behavior becomes increasingly important. Specifically, predicting future positions of…

Robotics · Computer Science 2020-07-27 Andrey Rudenko , Luigi Palmieri , Michael Herman , Kris M. Kitani , Dariu M. Gavrila , Kai O. Arras

The advent of the Edge Computing (EC) leads to a huge ecosystem where numerous nodes can interact with data collection devices located close to end users. Human detection and tracking can be realized at edge nodes that perform the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-21 Fesatidis Georgios , Bratsos Dimitrios , Kostas Kolomvatsos

We use topological data analysis as a tool to analyze the fit of mathematical models to experimental data. This study is built on data obtained from motion tracking groups of aphids in [Nilsen et al., PLOS One, 2013] and two random walk…

Quantitative Methods · Quantitative Biology 2018-11-13 M. Ulmer , Lori Ziegelmeier , Chad M. Topaz

In this paper, we introduce a novel method to capture visual trajectories for navigating an indoor robot in dynamic settings using streaming image data. First, an image processing pipeline is proposed to accurately segment trajectories from…

Robotics · Computer Science 2020-01-13 Aditya Rajguru , Christopher Collander , William J. Beksi

We use topological data analysis and machine learning to study a seminal model of collective motion in biology [D'Orsogna et al., Phys. Rev. Lett. 96 (2006)]. This model describes agents interacting nonlinearly via attractive-repulsive…

Graph based representation is widely used in visual tracking field by finding correct correspondences between target parts in consecutive frames. However, most graph based trackers consider pairwise geometric relations between local parts.…

Computer Vision and Pattern Recognition · Computer Science 2018-03-28 Dawei Du , Honggang Qi , Longyin Wen , Qi Tian , Qingming Huang , Siwei Lyu

Understanding and discovering knowledge from GPS (Global Positioning System) traces of human activities is an essential topic in mobility-based urban computing. We propose TrajectoryNet-a neural network architecture for point-based…

Computer Vision and Pattern Recognition · Computer Science 2017-08-31 Xiang Jiang , Erico N de Souza , Ahmad Pesaranghader , Baifan Hu , Daniel L. Silver , Stan Matwin

Previous studies on sequence-based extraction of human movement trajectories have an issue of inadequate trajectory representation. Specifically, a pair of locations may not be lined up in a sequence especially when one location includes…

Computation and Language · Computer Science 2024-10-23 Aitaro Yamamoto , Hiroyuki Otomo , Hiroki Ouchi , Shohei Higashiyama , Hiroki Teranishi , Hiroyuki Shindo , Taro Watanabe

One of the paramount challenges in neuroscience is to understand the dynamics of individual neurons and how they give rise to network dynamics when interconnected. Historically, researchers have resorted to graph theory, statistics, and…

Neurons and Cognition · Quantitative Biology 2019-02-08 Jean-Baptiste Bardin , Gard Spreemann , Kathryn Hess
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