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The aim of this paper is to check feasibility of using the maximal-entropy random walk in algorithms finding communities in complex networks. A number of such algorithms exploit an ordinary or a biased random walk for this purpose. Their…

Physics and Society · Physics 2013-02-05 Jeremi K. Ochab , Zdzisław Burda

Reliable predictive uncertainty estimation plays an important role in enabling the deployment of neural networks to safety-critical settings. A popular approach for estimating the predictive uncertainty of neural networks is to define a…

Machine Learning · Statistics 2023-12-29 Tim G. J. Rudner , Zonghao Chen , Yee Whye Teh , Yarin Gal

This paper proposes a novel method for testing observability in Gaussian models using discrete density approximations (deterministic samples) of (multivariate) Gaussians. Our notion of observability is defined by the existence of the…

Systems and Control · Electrical Eng. & Systems 2022-08-19 Ariane Hanebeck , Claudia Czado

We present an algorithm for the problem of linear distributed estimation of a parameter in a network where a set of agents are successively taking measurements. The approach considers a roaming token in a network that carries the estimate,…

Systems and Control · Computer Science 2018-07-05 Lucas Balthazar , João Xavier , Bruno Sinopoli

Many quantities characterizing infectious disease outbreaks - like the effective reproduction number ($R_t$), defined as the average number of secondary infections a newly infected individual will cause over the course of their infection -…

Methodology · Statistics 2025-11-25 Jessalyn N. Sebastian , Volodymyr M. Minin

Social dynamics is concerned primarily with interactions among individuals and the resulting group behaviors, modeling the temporal evolution of social systems via the interactions of individuals within these systems. In particular, the…

Machine Learning · Statistics 2016-11-08 Zhen Xu , Wen Dong , Sargur Srihari

We describe a Bayesian approach to estimating luminosity functions. We derive the likelihood function and posterior probability distribution for the luminosity function, given the observed data, and we compare the Bayesian approach with…

Astrophysics · Physics 2009-11-13 Brandon C. Kelly , Xiaohui Fan , Marianne Vestergaard

We study the small deviation probabilities of a family of very smooth self-similar Gaussian processes. The canonical process from the family has the same scaling property as standard Brownian motion and plays an important role in the study…

Probability · Mathematics 2011-08-18 Frank Aurzada , Fuchang Gao , Thomas Kühn , Wenbo V. Li , Qi-Man Shao

The information diffusion prediction on social networks aims to predict future recipients of a message, with practical applications in marketing and social media. While different prediction models all claim to perform well, general…

Social and Information Networks · Computer Science 2025-01-16 Wenjin Xie , Xiaomeng Wang , Radosław Michalski , Tao Jia

We propose a modeling framework for stochastic systems, termed Gaussian behaviors, that describes finite-length trajectories of a system as a Gaussian process. The proposed model naturally quantifies the uncertainty in the trajectories, yet…

Systems and Control · Electrical Eng. & Systems 2026-04-02 András Sasfi , Ivan Markovsky , Alberto Padoan , Florian Dörfler

Shannon Entropy is the preeminent tool for measuring the level of uncertainty (and conversely, information content) in a random variable. In the field of communications, entropy can be used to express the information content of given…

Information Theory · Computer Science 2024-11-06 Bill Kay , Audun Myers , Thad Boydston , Emily Ellwein , Cameron Mackenzie , Iliana Alvarez , Erik Lentz

In this paper, we aim to forecast a future trajectory distribution of a moving agent in the real world, given the social scene images and historical trajectories. Yet, it is a challenging task because the ground-truth distribution is…

Computer Vision and Pattern Recognition · Computer Science 2022-04-01 Ke Guo , Wenxi Liu , Jia Pan

Following [1], the aim of this paper is to analyze the relative weighted entropy involving the central moments weight functions. We compare the standard relative entropy with the weighted case in two particular forms of Gaussian…

Information Theory · Computer Science 2015-06-23 Salimeh Yasaei Sekeh , Adriano Polpo

To better understand the process by which humans make navigation decisions when tasked with multiple stopovers, we analyze motion data captured from shoppers in a grocery store. We discover several trends in the data that are consistent…

Physics and Society · Physics 2021-02-02 Nicholas Sohre , Alisdair O. G. Wallis , Stephen J. Guy

3D semantic occupancy prediction is an important task for robust vision-centric autonomous driving, which predicts fine-grained geometry and semantics of the surrounding scene. Most existing methods leverage dense grid-based scene…

Computer Vision and Pattern Recognition · Computer Science 2024-12-09 Yuanhui Huang , Amonnut Thammatadatrakoon , Wenzhao Zheng , Yunpeng Zhang , Dalong Du , Jiwen Lu

A new method is proposed for analyzing complexity and studying the information in random geometric networks using Tsallis entropy tool. Tsallis entropy of the ensemble of random geometric networks is calculated based on the components of…

Statistical Mechanics · Physics 2025-02-20 O. K. Kazemi , S. M. Taheri

We present a strategy capable of describing basic features of the dynamics of crowds. The behaviour of the crowd is considered from a twofold perspective. We examine both the large scale behaviour of the crowd, and phenomena happening at…

Mathematical Physics · Physics 2011-08-09 Joep Evers

In this paper, we present a data-driven Model Predictive Controller that leverages a Gaussian Process to generate optimal motion policies for connected autonomous vehicles in regions with uncertainty in the wireless channel. The…

Systems and Control · Electrical Eng. & Systems 2021-06-24 Hassan Jafarzadeh , Cody Fleming

Here we present the entropic dynamics formalism for networks. That is, a framework for the dynamics of graphs meant to represent a network derived from the principle of maximum entropy and the rate of transition is obtained taking into…

Physics and Society · Physics 2021-04-29 Felipe Xavier Costa , Pedro Pessoa

Through several studies, it has been highlighted that mobility patterns in mobile networks are driven by human behaviors. This effect has been particularly observed in intermittently connected networks like DTN (Delay Tolerant Networks).…

Networking and Internet Architecture · Computer Science 2015-03-19 Mohamed-Haykel Zayani , Vincent Gauthier , Ines Slama , Djamal Zeghlache