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Point process modeling is gaining increasing attention, as point process type data are emerging in numerous scientific applications. In this article, motivated by a neuronal spike trains study, we propose a novel point process regression…

Methodology · Statistics 2020-12-10 Xiwei Tang , Lexin Li

We introduce the notion of intensity reweighted moment pseudostationary point processes on linear networks. Based on arbitrary general regular linear network distances, we propose geometrically corrected versions of different higher-order…

Methodology · Statistics 2019-10-09 Ottmar Cronie , Mehdi Moradi , Jorge Mateu

We present empirical evidence that land values are scale-free and introduce a network model that reproduces the observations. The network approach to urban modelling is based on the assumption that the market dynamics that generates land…

Disordered Systems and Neural Networks · Physics 2009-11-10 Claes Andersson , Alexander Hellervik , Kristian Lindgren , Anders Hagson , Jonas Tornberg

Pairwise Choice Markov Chains (PCMC) have been recently introduced to overcome limitations of choice models based on traditional axioms unable to express empirical observations from modern behavior economics like context effects occurring…

Machine Learning · Computer Science 2020-02-03 Alix Lhéritier

In this work, we present a new semantic segmentation model for historical city maps that surpasses the state of the art in terms of flexibility and performance. Research in automatic map processing is largely focused on homogeneous corpora…

Computer Vision and Pattern Recognition · Computer Science 2021-02-01 Rémi Petitpierre

In recent years, graph-based machine learning techniques, such as reinforcement learning and graph neural networks, have garnered significant attention. While some recent studies have started to explore the relationship between the graph…

Machine Learning · Computer Science 2025-07-15 Yash Arya , Sang Hoon Lee

Consider observing a collection of discrete events within a network that reflect how network nodes influence one another. Such data are common in spike trains recorded from biological neural networks, interactions within a social network,…

Machine Learning · Statistics 2018-02-15 Benjamin Mark , Garvesh Raskutti , Rebecca Willett

This work considers the problem of finding analytical expressions for the expected values of dis- tributed computing performance metrics when the underlying communication network has a complex structure. Through active probing tests a real…

Adaptation and Self-Organizing Systems · Physics 2013-11-18 Francisco Prieto-Castrillo , Antonio Astillero , María Botón-Fernández

This paper introduces graph-based mutually exciting processes (GB-MEP) to model event times in network point processes, focusing on an application to docked bike-sharing systems. GB-MEP incorporates known relationships between nodes in a…

Applications · Statistics 2024-03-11 Francesco Sanna Passino , Yining Che , Carlos Cardoso Correia Perello

This paper presents a simulation-based framework for sequential inference from partially and discretely observed point process (PP's) models with static parameters. Taking on a Bayesian perspective for the static parameters, we build upon…

Methodology · Statistics 2012-01-24 James S. Martin , Ajay Jasra , Emma McCoy

This research proposes a framework for signal processing and information fusion of spatial-temporal multi-sensor data pertaining to understanding patterns of humans physiological changes in an urban environment. The framework includes…

Many complex systems have natural representations as multi-layer networks. While these formulations retain more information than standard single-layer network models, there is not yet a fully developed theory for computing network metrics…

Social and Information Networks · Computer Science 2017-03-17 Daryl R. DeFord , Scott D. Pauls

We introduce a new general modeling approach for multivariate discrete event data with categorical interacting marks, which we refer to as marked Bernoulli processes. In the proposed model, the probability of an event of a specific category…

Statistics Theory · Mathematics 2020-11-13 Anatoli Juditsky , Arkadi Nemirovski , Liyan Xie , Yao Xie

For a spatial characteristic, there exist commonly fat-tail frequency distributions of fragment-size and -mass of glass, areas enclosed by city roads, and pore size/volume in random packings. In order to give a new analytical approach for…

Statistical Mechanics · Physics 2015-06-12 Yukio Hayashi , Takayuki Komaki , Yusuke Ide , Takuya Machida , Norio Konno

Residential location choices are traditionally modelled using factors related to accessibility and socioeconomic environments, neglecting the importance of local street-level conditions. Arguably, this neglect is due to data practices.…

Computer Vision and Pattern Recognition · Computer Science 2024-10-24 Sander van Cranenburgh , Francisco Garrido-Valenzuela

Markov chain Monte Carlo (MCMC) algorithms provide a very general recipe for estimating properties of complicated distributions. While their use has become commonplace and there is a large literature on MCMC theory and practice, MCMC users…

Computation · Statistics 2012-05-03 Murali Haran , Luke Tierney

The study of social networks --- where people are located, geographically, and how they might be connected to one another --- is a current hot topic of interest, because of its immediate relevance to important applications, from devising…

Physics and Society · Physics 2018-06-29 Shandeepa Wickramasinghe , Onyekachukwu Onyerikwu , Jie Sun , Daniel ben-Avraham

The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution. In this article, we develop a stochastic model of urban…

Methodology · Statistics 2018-05-10 L. Ellam , M. Girolami , G. A. Pavliotis , A. Wilson

Online action recognition is an important task for human centered intelligent services, which is still difficult to achieve due to the varieties and uncertainties of spatial and temporal scales of human actions. In this paper, we propose…

Computer Vision and Pattern Recognition · Computer Science 2020-11-04 Guoliang Liu , Qinghui Zhang , Yichao Cao , Junwei Li , Hao Wu , Guohui Tian

This contribution extends linear models for feature vectors to sublinear models for graphs and analyzes their properties. The results are (i) a geometric interpretation of sublinear classifiers, (ii) a generic learning rule based on the…

Machine Learning · Computer Science 2014-03-11 Brijnesh J. Jain