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Statistical modelling in the presence of data organized in groups is a crucial task in Bayesian statistics. The present paper conceives a mixture model based on a novel family of Bayesian priors designed for multilevel data and obtained by…

统计方法学 · 统计学 2024-07-01 Alessandro Colombi , Raffaele Argiento , Federico Camerlenghi , Lucia Paci

A two-tier heterogeneous cellular network (HCN) with intra-tier and inter-tier dependence is studied. The macro cell deployment follows a Poisson point process (PPP) and two different clustered point processes are used to model the…

信息论 · 计算机科学 2016-05-03 Ejder Baştuğ , Mehdi Bennis , Marios Kountouris , Mérouane Debbah

This article considers the estimation of the number of severely disabled people using data from the Italian survey on Health Conditions and Appeal to Medicare. Disability is indirectly measured using a set of categorical items, which survey…

应用统计 · 统计学 2015-08-25 Enrico Fabrizi , Giorgio E. Montanari , Maria Giovanna Ranalli

Mixture models are widely used in modeling heterogeneous data populations. A standard approach of mixture modeling assumes that the mixture component takes a parametric kernel form. In many applications, making parametric assumptions on the…

统计方法学 · 统计学 2026-03-06 Yilei Zhang , Yun Wei , Aritra Guha , XuanLong Nguyen

Large-scale network data can pose computational challenges, be expensive to acquire, and compromise the privacy of individuals in social networks. We show that the locations and scales of latent space cluster models can be inferred from the…

社会与信息网络 · 计算机科学 2023-03-16 Till Hoffmann

Hierarchical modeling of abundance in space or time using closed-population mark-recapture under heterogeneity (model M$_{h}$) presents two challenges: (i) finding a flexible likelihood in which abundance appears as an explicit parameter…

应用统计 · 统计学 2015-04-10 Matthew R. Schofield , Richard J. Barker

Conventional survival analysis approaches estimate risk scores or individualized time-to-event distributions conditioned on covariates. In practice, there is often great population-level phenotypic heterogeneity, resulting from (unknown)…

机器学习 · 统计学 2020-03-03 Paidamoyo Chapfuwa , Chunyuan Li , Nikhil Mehta , Lawrence Carin , Ricardo Henao

We examine the heterogeneous responses of individual nodes in sparse networks to the random removal of a fraction of edges. Using the message-passing formulation of percolation, we discover considerable variation across the network in the…

统计力学 · 物理学 2017-09-13 Reimer Kuehn , Tim Rogers

We consider a class of continuous-time stochastic growth models on $d$-dimensional lattice with non-negative real numbers as possible values per site. The class contains examples such as binary contact path process and potlatch process. We…

概率论 · 数学 2009-07-27 Yukio Nagahata , Nobuo Yoshida

We introduce a new class of latent process models for dynamic relational network data with the goal of detecting time-dependent structure. Network data are often observed over time, and static network models for such data may fail to…

统计方法学 · 统计学 2013-11-15 Lucy F. Robinson , Carey E. Priebe

In this paper we consider the estimation of population size from one-source capture--recapture data, that is, a list in which individuals can potentially be found repeatedly and where the question is how many individuals are missed by the…

应用统计 · 统计学 2009-08-18 Dankmar Böhning , Peter G. M. van der Heijden

Dynamic multilayer networks frequently represent the structure of multiple co-evolving relations; however, statistical models are not well-developed for this prevalent network type. Here, we propose a new latent space model for dynamic…

统计方法学 · 统计学 2021-03-25 Joshua Daniel Loyal , Yuguo Chen

Neural models learn representations of high-dimensional data on low-dimensional manifolds. Multiple factors, including stochasticities in the training process, model architectures, and additional inductive biases, may induce different…

机器学习 · 计算机科学 2025-12-02 Hanlin Yu , Berfin Inal , Georgios Arvanitidis , Soren Hauberg , Francesco Locatello , Marco Fumero

Compartmentalization of biochemical processes underlies all biological systems, from the organelle to the tissue scale. Theoretical models to study the interplay between noisy reaction dynamics and compartmentalization are sparse, and…

定量方法 · 定量生物学 2022-06-08 Lorenzo Duso , Christoph Zechner

Population size estimation from capture-recapture data is central for studying hard-to-reach populations, incorporating auxiliary covariates to account for heterogeneous capture probabilities and recapture dependencies. However, missing…

统计方法学 · 统计学 2026-02-11 Mateo Dulce Rubio , Edward H. Kennedy , Nicholas P. Jewell

Reciprocity, or the stochastic tendency for actors to form mutual relationships, is an essential characteristic of directed network data. Existing latent space approaches to modeling directed networks are severely limited by the assumption…

统计方法学 · 统计学 2024-11-28 Joshua Daniel Loyal , Xiangyu Wu , Jonathan R. Stewart

State-of-the-art methods for counting people in crowded scenes rely on deep networks to estimate crowd density. They typically use the same filters over the whole image or over large image patches. Only then do they estimate local scale to…

计算机视觉与模式识别 · 计算机科学 2019-04-16 Weizhe Liu , Mathieu Salzmann , Pascal Fua

Multilayer networks have become increasingly ubiquitous across diverse scientific fields, ranging from social sciences and biology to economics and international relations. Despite their broad applications, the inferential theory for…

统计方法学 · 统计学 2026-02-24 Zhaozhe Liu , Gongjun Xu , Haoran Zhang

Analyzing crime events is crucial to understand crime dynamics and it is largely helpful for constructing prevention policies. Point processes specified on linear networks can provide a more accurate description of crime incidents by…

应用统计 · 统计学 2026-01-21 Sujeong Lee , Won Chang , Jorge Mateu , Heejin Lee , Jaewoo Park

Neural population activity often exhibits rich variability and temporal structure. This variability is thought to arise from single-neuron stochasticity, neural dynamics on short time-scales, as well as from modulations of neural firing…

机器学习 · 统计学 2014-10-14 Mijung Park , Jakob H. Macke