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Large scale complex systems, such as social networks, electrical power grid, database structure, consumption pattern or brain connectivity, are often modeled using network graphs. Valuable insight can be gained by measuring the similarity…

量子物理 · 物理学 2019-03-01 Callum Schofield , Jingbo B. Wang , Yuying Li

We propose a novel approach for modelling bat motion dynamics and use it to predict roost locations using data from static acoustic detectors. Specifically, radio tracking studies of Greater Horseshoe bats demonstrate that bat movement can…

定量方法 · 定量生物学 2021-06-24 Lucy Henley , Owen Jones , Fiona Mathews , Thomas E. Woolley

We present continuum models that describe the evolution of the position of a random walker on a growing network using four different growth algorithms. Three of these involve a random element, including one in which the motility rate of the…

适应与自组织系统 · 物理学 2019-06-26 Robert Ross , Walter Fontana

We provide a deterministic $\tilde{O}(\log N)$-space algorithm for estimating random walk probabilities on undirected graphs, and more generally Eulerian directed graphs, to within inverse polynomial additive error…

计算复杂性 · 计算机科学 2022-03-14 AmirMahdi Ahmadinejad , Jonathan Kelner , Jack Murtagh , John Peebles , Aaron Sidford , Salil Vadhan

The graph obtained from the integer grid Z x Z by the removal of all horizontal edges that do not belong to the x-axis is called a comb. In a random walk on a graph, whenever a walker is at a vertex v, in the next step it will visit one of…

概率论 · 数学 2013-09-26 János Pach , Gábor Tardos

Graphlets are induced subgraph patterns that are crucial to the understanding of the structure and function of a large network. A lot of efforts have been devoted to calculating graphlet statistics where random walk based approaches are…

社会与信息网络 · 计算机科学 2020-05-12 Simiao Jiao , Zihui Xue , Xiaowei Chen , Yuedong Xu

We study an exactly solvable random walk model with long-range memory on arbitrary networks. The walker performs unbiased random steps to nearest-neighbor nodes and intermittently resets to previously visited nodes in a preferential way,…

统计力学 · 物理学 2024-12-11 Ana Gabriela Guerrero-Estrada , Alejandro P. Riascos , Denis Boyer

We introduce a new method to efficiently approximate the number of infections resulting from a given initially-infected node in a network of susceptible individuals. Our approach is based on counting the number of possible infection walks…

生物物理 · 物理学 2012-10-25 Frank Bauer , Joseph T. Lizier

We study the minimum cut problem in the presence of uncertainty and show how to apply a novel robust optimization approach, which aims to exploit the similarity in subsequent graph measurements or similar graph instances, without posing any…

数据结构与算法 · 计算机科学 2013-04-30 Barbara Geissmann , Rastislav Šrámek

Random walks over directed graphs are used to model activities in many domains, such as social networks, influence propagation, and Bayesian graphical models. They are often used to compute the importance or centrality of individual nodes…

数值分析 · 计算机科学 2018-08-10 Daniel Boley , Alejandro Buendia , Golshan Golnari

Multi-shot pedestrian re-identification problem is at the core of surveillance video analysis. It matches two tracks of pedestrians from different cameras. In contrary to existing works that aggregate single frames features by time series…

计算机视觉与模式识别 · 计算机科学 2018-05-10 Jianfu Zhang , Naiyan Wang , Liqing Zhang

Expected urban population doubling calls for a compelling theory of the city. Random walks and diffusions defined on spatial city graphs spot hidden areas of geographical isolation in the urban landscape going downhill. First--passage time…

物理与社会 · 物理学 2010-03-02 Ph. Blanchard , D. Volchenkov

We consider random walks on dynamical networks where edges appear and disappear during finite time intervals. The process is grounded on three independent stochastic processes determining the walker's waiting-time, the up-time and down-time…

物理与社会 · 物理学 2018-11-28 Julien Petit , Martin Gueuning , Timoteo Carletti , Ben Lauwens , Renaud Lambiotte

Accurately analyzing graph properties of social networks is a challenging task because of access limitations to the graph data. To address this challenge, several algorithms to obtain unbiased estimates of properties from few samples via a…

社会与信息网络 · 计算机科学 2020-07-14 Kazuki Nakajima , Kazuyuki Shudo

We propose an algorithm to estimate the topology of an embedded metric graph from a well-sampled finite subset of the underlying graph.

计算几何 · 计算机科学 2019-12-09 Brittany Terese Fasy , Rafal Komendarczyk , Sushovan Majhi , Carola Wenk

Network reconstruction is the task of inferring the unseen interactions between elements of a system, based only on their behavior or dynamics. This inverse problem is in general ill-posed, and admits many solutions for the same…

机器学习 · 统计学 2025-03-12 Tiago P. Peixoto

In a graph, a watchman's walk is a minimum closed dominating walk. Given a graph $G$ and a single watchman, the length of a watchman's walk in $G$ (the watchman number) is denoted by $w(G)$ and the typical goals of the watchman's walk…

组合数学 · 数学 2020-07-29 Danny Dyer , Jared Howell , Brittany Pittman

We discuss a particular kind of quantum walk on a general graph. We affix two semi-infinite lines to a general finite graph, which we call tails. On the tails, the particle making the walk simply advances one unit at each time step, so that…

量子物理 · 物理学 2009-07-15 Edgar Feldman , Mark Hillery

We experimentally demonstrate that the statistical properties of distances between pedestrians which are hindered from avoiding each other are described by the Gaussian Unitary Ensemble of random matrices. The same result has recently been…

物理与社会 · 物理学 2010-02-01 Daniel Jezbera , David Kordek , Jan Kriz , Petr Seba , Petr Sroll

We consider biased random walks on random networks constituted by a random comb comprising a backbone with quenched-disordered random-length branches. The backbone and the branches run in the direction of the bias. For the bare model as…

统计力学 · 物理学 2025-06-09 Mrinal Sarkar , Shamik Gupta