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Markov chain Monte Carlo (MCMC) algorithms have become powerful tools for Bayesian inference. However, they do not scale well to large-data problems. Divide-and-conquer strategies, which split the data into batches and, for each batch, run…

统计计算 · 统计学 2017-07-18 Christopher Nemeth , Chris Sherlock

Bayesian inference for models with intractable likelihood functions represents a challenging suite of problems in modern statistics. In this work we analyse the Conway-Maxwell-Poisson (COM-Poisson) distribution, a two parameter…

统计计算 · 统计学 2020-07-13 Alan Benson , Nial Friel

Bayesian inference provides a methodology for parameter estimation and uncertainty quantification in machine learning and deep learning methods. Variational inference and Markov Chain Monte-Carlo (MCMC) sampling methods are used to…

机器学习 · 统计学 2024-08-27 Rohitash Chandra , Joshua Simmons

With the rapid explosion of data volume from mobile networks, edge caching has received significant attentions as an efficient approach to boost content delivery efficiency by bringing contents near users. In this article, cache-enabled…

信息论 · 计算机科学 2020-08-13 Congshan Fan , Tiankui Zhang , Yuanwei Liu , Zhiming Zeng

A new methodology for model determination in decomposable graphical Gaussian models is developed. The Bayesian paradigm is used and, for each given graph, a hyper inverse Wishart prior distribution on the covariance matrix is considered.…

统计计算 · 统计学 2015-03-13 Sophie Donnet , Jean-Michel Marin

In this paper, the downlink file transmission within a finite lifetime is optimized with the assistance of wireless cache nodes. Specifically, the number of requests within the lifetime of one file is modeled as a Poisson point process. The…

信号处理 · 电气工程与系统科学 2017-11-10 Bojie Lv , Lexiang Huang , Rui Wang

The Poisson model is frequently employed to describe count data, but in a Bayesian context it leads to an analytically intractable posterior probability distribution. In this work, we analyze a variational Gaussian approximation to the…

数值分析 · 数学 2018-02-14 Simon Arridge , Kazufumi Ito , Bangti Jin , Chen Zhang

Bayesian feature allocation models are a popular tool for modelling data with a combinatorial latent structure. Exact inference in these models is generally intractable and so practitioners typically apply Markov Chain Monte Carlo (MCMC)…

统计计算 · 统计学 2020-01-28 Alexandre Bouchard-Côté , Andrew Roth

Gaussian graphical models can capture complex dependency structures among variables. For such models, Bayesian inference is attractive as it provides principled ways to incorporate prior information and to quantify uncertainty through the…

统计计算 · 统计学 2023-04-05 Willem van den Boom , Alexandros Beskos , Maria De Iorio

Bayesian modelling and computational inference by Markov chain Monte Carlo (MCMC) is a principled framework for large-scale uncertainty quantification, though is limited in practice by computational cost when implemented in the simplest…

统计计算 · 统计学 2020-09-21 Colin Fox , Tiangang Cui , Markus Neumayer

Next-generation mobile networks are expected to facilitate fast AI model downloading to end users. By caching models on edge servers, mobile networks can deliver models to end users with low latency, resulting in a paradigm called edge…

网络与互联网体系结构 · 计算机科学 2024-05-21 Guanqiao Qu , Zheng Lin , Fangming Liu , Xianhao Chen , Kaibin Huang

Varying coefficient models (VCMs) are widely used for estimating nonlinear regression functions for functional data. Their Bayesian variants using Gaussian process priors on the functional coefficients, however, have received limited…

统计方法学 · 统计学 2022-03-01 Rajarshi Guhaniyogi , Cheng Li , Terrance D. Savitsky , Sanvesh Srivastava

Radial velocity (RV) planet searches are increasingly finding planets with small velocity amplitudes, with long orbital periods, or in multiple planet systems. Bayesian inference has the potential to improve the interpretation of existing…

天体物理学 · 物理学 2007-05-23 Eric B. Ford , Philip C. Gregory

This paper studies the performance of cache-enabled dense small cell networks consisting of multi-antenna sub-6 GHz and millimeter-wave base stations. Different from the existing works which only consider a single antenna at each base…

网络与互联网体系结构 · 计算机科学 2018-01-18 Yongxu Zhu , Gan Zheng , Lifeng Wang , Kai-Kit Wong , Liqiang Zhao

Mobile networks are experiencing tremendous increase in data volume and user density. An efficient technique to alleviate this issue is to bring the data closer to the users by exploiting the caches of edge network nodes, such as fixed or…

网络与互联网体系结构 · 计算机科学 2021-05-18 Nikolaos Nomikos , Spyros Zoupanos , Themistoklis Charalambous , Ioannis Krikidis , Athina Petropulu

We study Bayesian estimation of mixture models and argue in favor of fitting the marginal posterior distribution over component assignments directly, rather than Gibbs sampling from the joint posterior on components and parameters as is…

统计计算 · 统计学 2025-11-03 M. E. J. Newman

Deriving Bayesian inference for exponential random graph models (ERGMs) is a challenging "doubly intractable" problem as the normalizing constants of the likelihood and posterior density are both intractable. Markov chain Monte Carlo (MCMC)…

统计计算 · 统计学 2019-11-26 Linda S. L. Tan , Nial Friel

We propose a scalable Bayesian preference learning method for jointly predicting the preferences of individuals as well as the consensus of a crowd from pairwise labels. Peoples' opinions often differ greatly, making it difficult to predict…

机器学习 · 计算机科学 2019-12-13 Edwin Simpson , Iryna Gurevych

Today's Internet has witnessed an increase in the popularity of mobile video streaming, which is expected to exceed 3/4 of the global mobile data traffic by 2019. To satisfy the considerable amount of mobile video requests, video service…

多媒体 · 计算机科学 2017-02-27 Ge Ma , Zhi Wang , Miao Zhang , Jiahui Ye , Minghua Chen , Wenwu Zhu

The rapidly increasing complexity of (mainly wireless) ad-hoc networks stresses the need of reliable distributed estimation of several variables of interest. The widely used centralized approach, in which the network nodes communicate their…

信息论 · 计算机科学 2015-03-20 K. Dedecius , V. Sečkárová
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