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In unsupervised classification, Hidden Markov Models (HMM) are used to account for a neighborhood structure between observations. The emission distributions are often supposed to belong to some parametric family. In this paper, a…

Machine Learning · Statistics 2012-06-25 Stevenn Volant , Caroline Bérard , Marie-Laure Martin-Magniette , Stéphane Robin

Advances in public transit modeling and smart card technologies can reveal detailed contact patterns of passengers. A natural way to represent such contact patterns is in the form of networks. In this paper we utilize known contact patterns…

Discrete Mathematics · Computer Science 2019-08-22 Laszlo Hajdu , Andras Bota , Miklos Kresz , Alireza Khani , Lauren M. Gardner

Internet traffic on a network link can be modeled as a stochastic process. After detecting and quantifying the properties of this process, using statistical tools, a series of mathematical models is developed, culminating in one that is…

Probability · Mathematics 2015-06-26 Konstantinos Drakakis , Dragan Radulovic

Real-time navigation services, such as Google Maps and Waze, are widely used in daily life. These services provide rich data resources in real-time traffic conditions and travel time predictions; however, they have not been fully applied in…

Systems and Control · Computer Science 2018-11-06 Xilei Zhao , James C. Spall

Advanced traffic navigation systems, which provide routing recommendations to drivers based on real-time congestion information, are nowadays widely adopted by roadway transportation users. Yet, the emerging effects on the traffic dynamics…

Optimization and Control · Mathematics 2023-12-19 Gianluca Bianchin , Fabio Pasqualetti

To answer the call for a new theoretical framework to simultaneously accommodate random user activity and heterogeneous delay traffic in Internet of Things (IoT) systems, in this paper we propose coding schemes and information-theoretic…

Information Theory · Computer Science 2023-10-10 Homa Nikbakht , Michèle Wigger , Shlomo Shamai , Jean-Marie Gorce , H. Vincent Poor

Network models provide a powerful and flexible framework for analyzing a wide range of structured data sources. In many situations of interest, however, multiple networks can be constructed to capture different aspects of an underlying…

Social and Information Networks · Computer Science 2021-11-03 Madeline Navarro , Genevera I. Allen , Michael Weylandt

We propose a method to approximate the distribution of robot configurations satisfying multiple objectives. Our approach uses variational inference, a popular method in Bayesian computation, which has several advantages over sampling-based…

Robotics · Computer Science 2019-11-25 Emmanuel Pignat , Teguh Lembono , Sylvain Calinon

Incorporating graph side information into recommender systems has been widely used to better predict ratings, but relatively few works have focused on theoretical guarantees. Ahn et al. (2018) firstly characterized the optimal sample…

Information Theory · Computer Science 2021-09-09 Changhun Jo , Kangwook Lee

We study the posterior contraction behavior of the latent population structure that arises in admixture models as the amount of data increases. We adopt the geometric view of admixture models - alternatively known as topic models - as a…

Statistics Theory · Mathematics 2015-04-16 XuanLong Nguyen

Traffic congestion is one of the major challenges faced by the transportation industry. While this problem carries a high economical and environmental cost, the need for an efficient design of optimal paths for passengers in multilayer…

Physics and Society · Physics 2022-06-10 Abdullahi Adinoyi Ibrahim , Daniela Leite , Caterina De Bacco

Urban road transport is a major civilisational and economic challenge, affecting the quality of life and economic activity. Addressing these challenges requires a multidisciplinary approach and sustainable urban planning strategies to…

Analysis of PDEs · Mathematics 2026-05-20 Mauritz N. Cartier van Dissel , Paweł Gora , Dragoş Manea

We present a new nonparametric mixture-of-experts model for multivariate regression problems, inspired by the probabilistic k-nearest neighbors algorithm. Using a conditionally specified model, predictions for out-of-sample inputs are based…

Machine Learning · Statistics 2022-08-05 Tianfang Zhang , Rasmus Bokrantz , Jimmy Olsson

Given a statistical model for the request frequencies and sizes of data objects in a caching system, we derive the probability density of the size of the file that accounts for the largest amount of data traffic. This is equivalent to…

Networking and Internet Architecture · Computer Science 2017-04-14 Joonas Pääkkönen , Prathapasinghe Dharmawansa , Ragnar Freij-Hollanti , Camilla Hollanti , Olav Tirkkonen

We consider the problem of estimating the parameters in a pairwise graphical model in which the distribution of each node, conditioned on the others, may have a different parametric form. In particular, we assume that each node's…

Methodology · Statistics 2014-08-05 Shizhe Chen , Daniela Witten , Ali Shojaie

We study Thompson sampling (TS) in online decision making, where the uncertain environment is sampled from a mixture distribution. This is relevant in multi-task learning, where a learning agent faces different classes of problems. We…

Machine Learning · Computer Science 2022-03-08 Joey Hong , Branislav Kveton , Manzil Zaheer , Mohammad Ghavamzadeh , Craig Boutilier

Traffic dynamics is universally crucial in analyzing and designing almost any network. This article introduces a novel theoretical approach to analyzing network traffic dynamics. This theory's machinery is based on the notion of traffic…

Multiagent Systems · Computer Science 2024-04-05 Matin Macktoobian , Zhan Shu , Qing Zhao

We propose three models for the traffic of vehicles within a network formed by sites (cities, car-rental agencies, parking lots, etc.) and connected by two-way arteries (roads, highways), that allow forecasting the vehicular flux in a…

Physics and Society · Physics 2017-10-25 Dino Otero , Diógenes Galetti , Salomon S. Mizrahi

The advent of 6G/NextG networks comes along with a series of benefits, including extreme capacity, reliability, and efficiency. However, these networks may become vulnerable to new security threats. Therefore, 6G/NextG networks must be…

Machine Learning · Computer Science 2025-05-16 Loukas Ilias , George Doukas , Vangelis Lamprou , Christos Ntanos , Dimitris Askounis

This paper presents a mathematical model for the routing of multicommodity freight in an intermodal network under disruptions. A stochastic mixed-integer program was formulated to minimize not only operational costs of various modes and…

Optimization and Control · Mathematics 2024-02-05 Majbah Uddin , Nathan Huynh
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