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Kernel density estimation is a popular method for estimating unseen probability distributions. However, the convergence of these classical estimators to the true density slows down in high dimensions. Moreover, they do not define meaningful…

统计理论 · 数学 2025-05-30 Jack Kendrick

Collective motion in animal groups, such as swarms of insects, flocks of birds, and schools of fish, are some of the most visually striking examples of emergent behavior. Empirical analysis of these behaviors in experiment or computational…

软凝聚态物质 · 物理学 2021-03-16 Kevin Schultz , Marisel Villafane-Delgado , Elizabeth P. Reilly , Grace M. Hwang , Anshu Saksena

Crowd density level estimation is an essential aspect of crowd safety since it helps to identify areas of probable overcrowding and required conditions. Nowadays, AI systems can help in various sectors. Here for safety purposes or many for…

密码学与安全 · 计算机科学 2024-05-14 Mahira Arefin , Md. Anwar Hussen Wadud , Anichur Rahman

Large animal groups -- bird flocks, fish schools, insect swarms -- are often assumed to form by gradual aggregation of sparsely distributed individuals. Using a mathematically precise framework based on time-varying directed interaction…

种群与进化 · 定量生物学 2025-12-02 Jidong Jin

We view random walks as the paths of foraging animals, perhaps searching for food or avoiding predators while forming a mental map of their surroundings. The formation of such maps requires them to memorise the locations they have visited.…

概率论 · 数学 2018-08-24 Michal Gnacik , Abdulrahman Alsolami , James Burridge

The study of vertex centrality measures is a key aspect of network analysis. Naturally, such centrality measures have been generalized to groups of vertices; for popular measures it was shown that the problem of finding the most central…

We present a fast algorithm for global rigid symmetry detection with approximation guarantees. The algorithm is guaranteed to find the best approximate symmetry of a given shape, to within a user-specified threshold, with very high…

计算几何 · 计算机科学 2016-09-20 Simon Korman , Roee Litman , Shai Avidan , Alex Bronstein

In the kernel density estimation (KDE) problem, we are given a set $X$ of data points in $\mathbb{R}^d$, a kernel function $k: \mathbb{R}^d \times \mathbb{R}^d \rightarrow \mathbb{R}$, and a query point $\mathbf{q} \in \mathbb{R}^d$, and…

数据结构与算法 · 计算机科学 2025-07-03 Steinar Laenen , Peter Macgregor , He Sun

It is at times important to detect human presence automatically in secure environments. This needs a shape recognition algorithm that is robust, fast and has low error rates. The algorithm needs to process camera images quickly to detect…

计算机视觉与模式识别 · 计算机科学 2015-06-30 Dhriti Sengupta , Merina Kundu , Jayati Ghosh Dastidar

Motion planning in uncertain environments like complex urban areas is a key challenge for autonomous vehicles (AVs). The aim of our research is to investigate how AVs can navigate crowded, unpredictable scenarios with multiple pedestrians…

机器人学 · 计算机科学 2026-02-02 Korbinian Moller , Truls Nyberg , Jana Tumova , Johannes Betz

A novel nonparametric clustering algorithm is proposed using the interpoint distances between the members of the data to reveal the inherent clustering structure existing in the given set of data, where we apply the classical nonparametric…

统计方法学 · 统计学 2024-09-02 Soumita Modak

Precise knowledge about the size of a crowd, its density and flow can provide valuable information for safety and security applications, event planning, architectural design and to analyze consumer behavior. Creating a powerful machine…

计算机视觉与模式识别 · 计算机科学 2019-06-19 Mahdi Maktabdar Oghaz , Anish R Khadka , Vasileios Argyriou , Paolo Remagnino

We propose the Selective Densification method for fast motion planning through configuration space. We create a sequence of roadmaps by iteratively adding configurations. We organize these roadmaps into layers and add edges between…

机器人学 · 计算机科学 2020-02-13 Brad Saund , Dmitry Berenson

Accurate traffic participant prediction is the prerequisite for collision avoidance of autonomous vehicles. In this work, we predict pedestrians by emulating their own motion planning. From online observations, we infer a mixture density…

计算机视觉与模式识别 · 计算机科学 2017-06-21 Eike Rehder , Florian Wirth , Martin Lauer , Christoph Stiller

We propose a bio-inspired, agent-based approach to describe the natural phenomenon of group chasing in both two and three dimensions. Using a set of local interaction rules we created a continuous-space and discrete-time model with time…

生物物理 · 物理学 2017-05-24 Milán Janosov , Csaba Virágh , Gábor Vásárhelyi , Tamás Vicsek

This paper proposes a novel approach for detecting groups of people that walk "together" (group mobility) as well as the people who walk "alone" (individual movements) using wireless signals. We exploit multiple wireless sniffers to…

网络与互联网体系结构 · 计算机科学 2018-08-06 Gürkan Solmaz , Fang-Jing Wu

In this paper we are interested in the task of searching and tracking multiple moving targets in a bounded surveillance area with a group of autonomous mobile agents. More specifically, we assume that targets can appear and disappear at…

系统与控制 · 电气工程与系统科学 2023-02-02 Savvas Papaioannou , Panayiotis Kolios , Theocharis Theocharides , Christos G. Panayiotou , Marios M. Polycarpou

In crowded environments, individuals must navigate around other occupants to reach their destinations. Understanding and controlling traffic flows in these spaces is relevant for coordinating robot swarms and designing infrastructure for…

机器人学 · 计算机科学 2026-02-25 Lucy Liu , Justin Werfel , Federico Toschi , L. Mahadevan

The study of the movement of flocks, whether biological or technological is motivated by the desire to understand the capability of coherent motion of a large number of agents that only receive very limited information. In a biological…

系统与控制 · 计算机科学 2018-10-30 J. J. P. Veerman

Various methods to automate traffic data collection have recently been developed by many researchers. A macroscopic data collection through image processing has been proposed. For microscopic traffic flow data, such as individual speed and…

计算机视觉与模式识别 · 计算机科学 2016-09-09 Kardi Teknomo , Yasushi Takeyama , Hajime Inamura