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We propose autoregressive Bayesian semi-parametric models for waiting times between recurrent events. The aim is two-fold: inference on the effect of possibly time-varying covariates on the gap times and clustering of individuals based on…

应用统计 · 统计学 2016-07-28 Marta Tallarita , Maria De Iorio , Alessandra Guglielmi , James Malone-Lee

We present a probabilistic model of events in continuous time in which each event triggers a Poisson process of successor events. The ensemble of observed events is thereby modeled as a superposition of Poisson processes. Efficient…

机器学习 · 计算机科学 2012-03-19 Aleksandr Simma , Michael I. Jordan

The Poisson distribution is the default choice of likelihood for probabilistic models of count data. However, due to the equidispersion contraint of the Poisson, such models may have predictive uncertainty that is artificially inflated.…

统计方法学 · 统计学 2025-07-15 Jimmy Lederman , Aaron Schein

In this work we introduce a semi-parametric Bayesian change-point model, defining its time dynamic as a latent Markov process based on the Dirichlet process. We treat the number of change point as a random variable and we estimate it during…

统计计算 · 统计学 2018-08-28 Gianluca Mastrantonio

The result provided in this paper helps complete a unified picture of the scaling behavior in heavy-tailed stochastic models for transmission of packet traffic on high-speed communication links. Popular models include infinite source…

概率论 · 数学 2010-08-17 Clément Dombry , Ingemar Kaj

This paper studies theory and inference related to a class of time series models that incorporates nonlinear dynamics. It is assumed that the observations follow a one-parameter exponential family of distributions given an accompanying…

统计理论 · 数学 2012-04-19 Richard A. Davis , Heng Liu

Several techniques for domain adaptation have been proposed to account for differences in the distribution of the data used for training and testing. The majority of this work focuses on a binary domain label. Similar problems occur in a…

机器学习 · 统计学 2020-02-18 Gilles Louppe , Michael Kagan , Kyle Cranmer

Global trade is shaped by a complex mix of factors beyond supply and demand, including tangible variables like transport costs and tariffs, as well as less quantifiable influences such as political and economic relations. Traditionally,…

最优化与控制 · 数学 2025-11-21 Thomas Gaskin , Guven Demirel , Marie-Therese Wolfram , Andrew Duncan

Models of intermittent behaviour are usually formulated using a set of multiplicative random weights on a Cayley tree. However, intermittency in particle multiproduction from QCD jets is related to fragmentation of an additive quantum…

高能物理 - 唯象学 · 物理学 2008-11-26 R. Peschanski

We target modeling latent dynamics in high-dimension marked event sequences without any prior knowledge about marker relations. Such problem has been rarely studied by previous works which would have fundamental difficulty to handle the…

机器学习 · 计算机科学 2019-10-29 Qitian Wu , Zixuan Zhang , Xiaofeng Gao , Junchi Yan , Guihai Chen

Doubly-stochastic point processes model the occurrence of events over a spatial domain as an inhomogeneous Poisson process conditioned on the realization of a random intensity function. They are flexible tools for capturing spatial…

统计方法学 · 统计学 2024-06-28 Si Cheng , Jon Wakefield , Ali Shojaie

In biomedical settings, multitype recurrent events such as stroke and heart failure occur frequently, often concluding with a terminal event such as death. Understanding the links between these recurring and terminal events is fundamental…

统计方法学 · 统计学 2025-09-15 Mithun Kumar Acharjee , AKM Fazlur Rahman

This paper studies theory and inference of an observation-driven model for time series of counts. It is assumed that the observations follow a Poisson distribution conditioned on an accompanying intensity process, which is equipped with a…

统计方法学 · 统计学 2013-07-18 Chao Wang , Heng Liu , Jian-Feng Yao , Richard A. Davis , Wai Keung Li

As a vital strategic resource, oil has an essential influence on the world economy, diplomacy and military development. Using oil trade data to dynamically monitor and warn about international trade risks is an urgent need. Based on the UN…

统计金融 · 定量金融 2022-08-23 Wen-Jie Xie , Na Wei , Wei-Xing Zhou

The classification of events involving jets as signal-like or background-like can depend strongly on the jet algorithm used and its parameters. This is partly due to the fact that standard jet algorithms yield a single partition of the…

高能物理 - 唯象学 · 物理学 2015-06-15 Dilani Kahawala , David Krohn , Matthew D. Schwartz

Bayesian statistical inference is a powerful tool for model-data comparisons and extractions of physical parameters that are often unknown functions of system variables. Existing Bayesian analyses often rely on explicit parametrizations of…

高能物理 - 唯象学 · 物理学 2023-08-09 Man Xie , Weiyao Ke , Hanzhong Zhang , Xin-Nian Wang

In this paper, we derive cumulant bounds for subgraph counts and power-weighted edge length in a class of spatial random networks known as weighted random connection models. This involves dealing with long-range spatial correlations induced…

概率论 · 数学 2023-11-02 Nils Heerten , Christian Hirsch , Moritz Otto

A semi-parametric, non-linear regression model in the presence of latent variables is applied towards learning network graph structure. These latent variables can correspond to unmodeled phenomena or unmeasured agents in a complex system of…

机器学习 · 统计学 2018-07-03 Jonathan Mei , José M. F. Moura

We present here two promising techniques for the application of the complex network approach to continuous spatio-temporal systems that have been developed in the last decade and show large potential for future application and development…

数据分析、统计与概率 · 物理学 2015-07-19 Norbert Marwan , Jürgen Kurths

This work introduces the concept of parametric Gaussian processes (PGPs), which is built upon the seemingly self-contradictory idea of making Gaussian processes parametric. Parametric Gaussian processes, by construction, are designed to…

机器学习 · 统计学 2017-05-08 Maziar Raissi