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We describe a method to computationally estimate the probability density function of a univariate random variable by applying the maximum entropy principle with some local conditions given by Gaussian functions. The estimation errors and…

Statistics Theory · Mathematics 2012-06-21 Mihail-Ioan Pop

Several works have outlined the fact that the mobility in intermittently connected wireless networks is strongly governed by human behaviors as they are basically human-centered. It has been shown that the users' moves can be correlated and…

Networking and Internet Architecture · Computer Science 2016-11-17 Mohamed-Haykel Zayani , Vincent Gauthier , Djamal Zeghlache

Inferring information related to users enables to highly improve the quality of many mobile services. For example, knowing the demographic characteristics of a user allows a service to display more accurate information. According to the…

Social and Information Networks · Computer Science 2018-03-13 Arielle Moro , Benoît Garbinato , Valérie Chavez-Demoulin

In this contribution, models of wireless channels are derived from the maximum entropy principle, for several cases where only limited information about the propagation environment is available. First, analytical models are derived for the…

Information Theory · Computer Science 2007-07-13 M. Guillaud , M. Debbah , A. L. Moustakas

Gaussian mixture distributions are commonly employed to represent general probability distributions. Despite the importance of using Gaussian mixtures for uncertainty estimation, the entropy of a Gaussian mixture cannot be calculated…

Machine Learning · Statistics 2025-01-23 Takashi Furuya , Hiroyuki Kusumoto , Koichi Taniguchi , Naoya Kanno , Kazuma Suetake

Tremendous efforts have been put forth on predicting pedestrian trajectory with generative models to accommodate uncertainty and multi-modality in human behaviors. An individual's inherent uncertainty, e.g., change of destination, can be…

Computer Vision and Pattern Recognition · Computer Science 2024-05-14 Yao Liu , Zesheng Ye , Rui Wang , Binghao Li , Quan Z. Sheng , Lina Yao

Predictability of behavior has emerged an an important characteristic in many fields including biology, medicine, and marketing. Behavior can be recorded as a sequence of actions performed by an individual over a given time period. This…

Methodology · Statistics 2017-11-13 Brian Vegetabile , Jenny Molet , Tallie Z. Baram , Hal Stern

Voice traffic prediction is significant for network deployment optimization thus to improve the network efficiency. The real entropy based theorectical bound and corresponding prediction models have demonstrated their success in mobility…

Networking and Internet Architecture · Computer Science 2020-03-31 Sihai Zhang , Junyao Guo , Tian Lan , Rui Sun , Jinkang Zhu

Understanding human mobility from a microscopic point of view may represent a fundamental breakthrough for the development of a statistical physics for cognitive systems and it can shed light on the applicability of macroscopic statistical…

Physics and Society · Physics 2015-01-12 Riccardo Gallotti , Armando Bazzani , Mirko Degli Esposti , Sandro Rambaldi

The entropy is a measure of uncertainty that plays a central role in information theory. When the distribution of the data is unknown, an estimate of the entropy needs be obtained from the data sample itself. We propose a semi-parametric…

Methodology · Statistics 2022-01-06 Stéphane Robin , Luca Scrucca

Gaussian and Laplacian entropy models are proved effective in learned point cloud attribute compression, as they assist in arithmetic coding of latents. However, we demonstrate through experiments that there is still unutilized information…

Computer Vision and Pattern Recognition · Computer Science 2025-06-12 Changhao Peng , Yuqi Ye , Wei Gao

Some scenarios require the computation of a predictive distribution of a new value evaluated on an objective function conditioned on previous observations. We are interested on using a model that makes valid assumptions on the objective…

Machine Learning · Computer Science 2021-01-21 Lucia Asencio-Martín , Eduardo C. Garrido-Merchán

Accurate trajectory prediction is critical for safe autonomous navigation in crowded environments. While many trajectory predictors output Gaussian distributions to represent the multi-modal distribution over future pedestrian positions,…

Robotics · Computer Science 2026-03-12 Fatemeh Cheraghi Pouria , Mahsa Golchoubian , Katherine Driggs-Campbell

Cellular phones are now offering an ubiquitous means for scientists to observe life: how people act, move and respond to external influences. They can be utilized as measurement devices of individual persons and for groups of people of the…

Physics and Society · Physics 2015-06-12 Shao-Meng Qin , Hannu Verkasalo , Mikael Mohtaschemi , Tuomo Hartonen , Mikko Alava

Analyzing mobility behavior of users is extremely useful to create or improve existing services. Several research works have been done in order to study mobility behavior of users that mainly use users' significant locations. However, these…

Machine Learning · Computer Science 2019-07-08 Arielle Moro , Benoît Garbinato , Valérie Chavez-Demoulin

For probability measures on countable spaces we derive distributional limits for empirical entropic optimal transport quantities. More precisely, we show that the empirical optimal transport plan weakly converges to a centered Gaussian…

Probability · Mathematics 2022-12-27 Shayan Hundrieser , Marcel Klatt , Axel Munk

The emulation of wireless nodes spatial position is a practice used by deployment engineers and network planners to analyze the characteristics of a network. In particular, nodes geolocation will directly impact factors such as…

Information Theory · Computer Science 2013-06-06 Mouhamed Abdulla , Yousef R. Shayan

We examine the non-Markovian nature of human mobility by exposing the inability of Markov models to capture criticality in human mobility. In particular, the assumed Markovian nature of mobility was used to establish a theoretical upper…

Information Theory · Computer Science 2018-07-31 Vaibhav Kulkarni , Abhijit Mahalunkar , Benoit Garbinato , John D. Kelleher

This paper develops a macroscopic, activity-based model of urban active mobility using nonintrusive sensor data. It introduces attendance functions to describe spatio-temporal travel patterns between activities and formulates the…

Methodology · Statistics 2026-05-14 Romain Azaïs , Adrien Marion , Florian Patout

We propose a method to derive the stationary size distributions of a system, and the degree distributions of networks, using maximisation of the Gibbs-Shannon entropy. We apply this to a preferential attachment-type algorithm for systems of…

Physics and Society · Physics 2020-03-17 Cornelia Metzig , Caroline Colijn
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