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We introduce an efficient MCMC sampling scheme to perform Bayesian inference in the M/G/1 queueing model given only observations of interdeparture times. Our MCMC scheme uses a combination of Gibbs sampling and simple Metropolis updates…

统计计算 · 统计学 2014-01-23 Alexander Y. Shestopaloff , Radford M. Neal

Bayesian filtering serves as the mainstream framework of state estimation in dynamic systems. Its standard version utilizes total probability rule and Bayes' law alternatively, where how to define and compute conditional probability is…

机器学习 · 统计学 2024-04-02 Wenhan Cao , Shiqi Liu , Chang Liu , Zeyu He , Stephen S. -T. Yau , Shengbo Eben Li

The posterior probability distribution for a set of model parameters encodes all that the data have to tell us in the context of a given model; it is the fundamental quantity for Bayesian parameter estimation. In order to infer the…

天体物理仪器与方法 · 物理学 2015-06-16 Rupert Allison , Joanna Dunkley

Likelihood-free Bayesian inference algorithms are popular methods for calibrating the parameters of complex, stochastic models, required when the likelihood of the observed data is intractable. These algorithms characteristically rely…

统计计算 · 统计学 2021-12-23 Thomas P Prescott , David J Warne , Ruth E Baker

In order to improve offline map matching accuracy of low-sampling-rate GPS, a map matching algorithm based on conditional random fields (CRF) and route preference mining is proposed. In this algorithm, road offset distance and the…

网络与互联网体系结构 · 计算机科学 2015-10-07 Xu Ming , Du Yi-man , Wu Jian-ping , Zhou Yang

Approximate Bayesian computation (ABC) is a method for Bayesian inference when the likelihood is unavailable but simulating from the model is possible. However, many ABC algorithms require a large number of simulations, which can be costly.…

机器学习 · 统计学 2018-10-15 Marko Järvenpää , Michael U. Gutmann , Arijus Pleska , Aki Vehtari , Pekka Marttinen

In many domains, we are interested in analyzing the structure of the underlying distribution, e.g., whether one variable is a direct parent of the other. Bayesian model-selection attempts to find the MAP model and use its structure to…

机器学习 · 计算机科学 2013-01-18 Nir Friedman , Daphne Koller

We propose a way of transforming the problem of conditional density estimation into a single nonparametric regression task via the introduction of auxiliary samples. This allows leveraging regression methods that work well in high…

机器学习 · 统计学 2025-11-25 Alexander G. Reisach , Olivier Collier , Alex Luedtke , Antoine Chambaz

Bayesian methods are appealing in their flexibility in modeling complex data and ability in capturing uncertainty in parameters. However, when Bayes' rule does not result in tractable closed-form, most approximate inference algorithms lack…

机器学习 · 计算机科学 2016-05-09 Bo Dai , Niao He , Hanjun Dai , Le Song

The Gaussian mixture model is a classic technique for clustering and data modeling that is used in numerous applications. With the rise of big data, there is a need for parameter estimation techniques that can handle streaming data and…

人工智能 · 计算机科学 2016-09-20 Priyank Jaini , Pascal Poupart

In variational inference, the benefits of Bayesian models rely on accurately capturing the true posterior distribution. We propose using neural samplers that specify implicit distributions, which are well-suited for approximating complex…

机器学习 · 计算机科学 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

A reduced-bias nonparametric estimator of the cumulative distribution function (CDF) and the survival function is proposed using infinite-order kernels. Fourier transform theory on generalized functions is utilized to obtain the improved…

统计方法学 · 统计学 2009-03-18 Arthur Berg , Dimitris N. Politis

In this paper, we propose a new Bayesian inference method for a high-dimensional sparse factor model that allows both the factor dimensionality and the sparse structure of the loading matrix to be inferred. The novelty is to introduce a…

机器学习 · 统计学 2023-05-31 Ilsang Ohn , Lizhen Lin , Yongdai Kim

Filter pruning simultaneously accelerates the computation and reduces the memory overhead of CNNs, which can be effectively applied to edge devices and cloud services. In this paper, we propose a novel Knowledge-driven Differential Filter…

计算机视觉与模式识别 · 计算机科学 2023-07-04 Shaohui Lin , Wenxuan Huang , Jiao Xie , Baochang Zhang , Yunhang Shen , Zhou Yu , Jungong Han , David Doermann

Composite likelihoods are increasingly used in applications where the full likelihood is analytically unknown or computationally prohibitive. Although the maximum composite likelihood estimator has frequentist properties akin to those of…

统计方法学 · 统计学 2011-07-08 Mathieu Ribatet , Daniel Cooley , Anthony C. Davison

We consider posterior sampling in the very common Bayesian hierarchical model in which observed data depends on high-dimensional latent variables that, in turn, depend on relatively few hyperparameters. When the full conditional over the…

统计计算 · 统计学 2016-10-24 Richard A. Norton , J. Andres Christen , Colin Fox

We introduce scalable algorithms for online learning of neural network parameters and Bayesian sequential decision making. Unlike classical Bayesian neural networks, which induce predictive uncertainty through a posterior over model…

机器学习 · 计算机科学 2025-10-10 Gerardo Duran-Martin , Leandro Sánchez-Betancourt , Álvaro Cartea , Kevin Murphy

We consider the problem of Bayesian parameter estimation for deep neural networks, which is important in problem settings where we may have little data, and/ or where we need accurate posterior predictive densities, e.g., for applications…

机器学习 · 计算机科学 2015-11-10 Anoop Korattikara , Vivek Rathod , Kevin Murphy , Max Welling

We derive ensembles of decision trees through a nonparametric Bayesian model, allowing us to view random forests as samples from a posterior distribution. This insight provides large gains in interpretability, and motivates a class of…

应用统计 · 统计学 2015-05-19 Matt Taddy , Chun-Sheng Chen , Jun Yu , Mitch Wyle

We provide a method for approximating Bayesian inference using rejection sampling. We not only make the process efficient, but also dramatically reduce the memory required relative to conventional methods by combining rejection sampling…

机器学习 · 计算机科学 2015-12-04 Nathan Wiebe , Christopher Granade , Ashish Kapoor , Krysta M Svore