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In humans and in foveated animals visual acuity is highly concentrated at the center of gaze, so that choosing where to look next is an important example of online, rapid decision making. Computational neuroscientists have developed…

Neurons and Cognition · Quantitative Biology 2014-12-05 Ralf Engbert , Hans A. Trukenbrod , Simon Barthelmé , Felix A. Wichmann

We study the behavior of the random walk in a continuum independent long-range percolation model, in which two given vertices $x$ and $y$ are connected with probability that asymptotically behaves like $|x-y|^{-\alpha}$ with $\alpha>d$,…

Probability · Mathematics 2022-09-30 Ercan Sönmez , Arnaud Rousselle

Predicting links in complex networks has been one of the essential topics within the realm of data mining and science discovery over the past few years. This problem remains an attempt to identify future, deleted, and redundant links using…

Social and Information Networks · Computer Science 2021-05-21 Kamal Berahmand , Elahe Nasiri , Saman Forouzandeh , Yuefeng Li

Random walks on networks are widely used to model stochastic processes such as search strategies, transportation problems or disease propagation. A prominent example of such process is the guiding of naive T cells by the lymph node conduits…

Social and Information Networks · Computer Science 2022-10-21 Solène Song , Malek Senoussi , Paul Escande , Paul Villoutreix

The possibility to identify the nature (e.g. random or scale free) of complex networks while performing respective random walks is investigated with respect to autonomous agents based on Bayesian decision theory and humans navigating…

Computational Physics · Physics 2007-05-23 Filipi Nascimento Silva , Luciano da Fontoura Costa

This paper addresses the challenging problem of estimating the general visual attention of people in images. Our proposed method is designed to work across multiple naturalistic social scenarios and provides a full picture of the subject's…

Computer Vision and Pattern Recognition · Computer Science 2018-07-30 Eunji Chong , Nataniel Ruiz , Yongxin Wang , Yun Zhang , Agata Rozga , James Rehg

The measurement called accessibility has been proposed as a means to quantify the efficiency of the communication between nodes in complex networks. This article reports important results regarding the properties of the accessibility,…

Physics and Society · Physics 2013-05-30 Matheus P. Viana , João L. B. Batista , Luciano da F. Costa

Complex numbers define the relationship between entities in many situations. A canonical example would be the off-diagonal terms in a Hamiltonian matrix in quantum physics. Recent years have seen an increasing interest to extend the tools…

Social and Information Networks · Computer Science 2023-07-06 Yu Tian , Renaud Lambiotte

Multiplex networks are receiving increasing interests because they allow to model relationships between networked agents on several layers simultaneously. In this supplementary material for the paper "Navigability of interconnected networks…

Physics and Society · Physics 2014-05-28 M. De Domenico , A. Sole , S. Gomez , A. Arenas

We study a model for a random walk of two classes of particles (A and B). Where both species are present in the same site, the motion of A's takes precedence over that of B's. The model was originally proposed and analyzed in Maragakis et…

Disordered Systems and Neural Networks · Physics 2015-01-28 Nikolaos Bastas , Michalis Maragakis , Panos Argyrakis , Daniel ben-Avraham , Shlomo Havlin , Shai Carmi

In this paper, we proposed an integrated model of semantic-aware and contrast-aware saliency combining both bottom-up and top-down cues for effective saliency estimation and eye fixation prediction. The proposed model processes visual…

Computer Vision and Pattern Recognition · Computer Science 2018-11-12 Xiaoshuai Sun

Visual attention plays a critical role when our visual system executes active visual tasks by interacting with the physical scene. However, how to encode the visual object relationship in the psychological world of our brain deserves to be…

Computer Vision and Pattern Recognition · Computer Science 2025-11-26 Kai-Fu Yang , Yong-Jie Li

Random walks are ubiquitous in the sciences, and they are interesting from both theoretical and practical perspectives. They are one of the most fundamental types of stochastic processes; can be used to model numerous phenomena, including…

Physics and Society · Physics 2020-04-13 Naoki Masuda , Mason A. Porter , Renaud Lambiotte

The random walk process underlies the description of a large number of real world phenomena. Here we provide the study of random walk processes in time varying networks in the regime of time-scale mixing; i.e. when the network connectivity…

Complex networks refer to large-scale graphs with nontrivial connection patterns. The salient and interesting features that the complex network study offer in comparison to graph theory are the emphasis on the dynamical properties of the…

Artificial Intelligence · Computer Science 2013-05-09 Thiago Christiano Silva , Liang Zhao

Visual saliency is a fundamental problem in both cognitive and computational sciences, including computer vision. In this paper, we discover that a high-quality visual saliency model can be learned from multiscale features extracted using…

Computer Vision and Pattern Recognition · Computer Science 2016-11-03 Guanbin Li , Yizhou Yu

Predicting attention is a popular topic at the intersection of human and computer vision. However, even though most of the available video saliency data sets and models claim to target human observers' fixations, they fail to differentiate…

Computer Vision and Pattern Recognition · Computer Science 2019-04-15 Mikhail Startsev , Michael Dorr

In this paper, we present an analysis of recorded eye-fixation data from human subjects viewing video sequences. The purpose is to better understand visual attention for videos. Utilizing the eye-fixation data provided in the CRCNS…

Computer Vision and Pattern Recognition · Computer Science 2019-01-31 Tariq Alshawi , Zhiling Long , Ghassan AlRegib

Due to wide applications in diverse fields, random walks subject to stochastic resetting have attracted considerable attention in the last decade. In this paper, we study discrete-time random walks on complex network with multiple resetting…

Statistical Mechanics · Physics 2021-10-01 Shuang Wang , Hanshuang Chen , Feng Huang

Mesh representation by random walks has been shown to benefit deep learning. Randomness is indeed a powerful concept. However, it comes with a price: some walks might wander around non-characteristic regions of the mesh, which might be…

Computer Vision and Pattern Recognition · Computer Science 2021-04-26 Ran Ben Izhak , Alon Lahav , Ayellet Tal