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To conduct Bayesian inference with large data sets, it is often convenient or necessary to distribute the data across multiple machines. We consider a likelihood function expressed as a product of terms, each associated with a subset of the…

统计计算 · 统计学 2020-04-09 Lewis J. Rendell , Adam M. Johansen , Anthony Lee , Nick Whiteley

We study Bayesian discriminative inference given a model family $p(c,\x, \theta)$ that is assumed to contain all our prior information but still known to be incorrect. This falls in between "standard" Bayesian generative modeling and…

机器学习 · 统计学 2008-11-18 Jarkko Salojärvi , Kai Puolamäki , Eerika Savia , Samuel Kaski

Probabilistic generative modeling of data distributions can potentially exploit hidden information which is useful for discriminative classification. This observation has motivated the development of approaches that couple generative and…

机器学习 · 计算机科学 2012-04-17 Xiong Li , Tai Sing Lee , Yuncai Liu

Computer vision is hard because of a large variability in lighting, shape, and texture; in addition the image signal is non-additive due to occlusion. Generative models promised to account for this variability by accurately modelling the…

计算机视觉与模式识别 · 计算机科学 2015-03-10 Varun Jampani , Sebastian Nowozin , Matthew Loper , Peter V. Gehler

Asynchronous event sequence clustering aims to group similar event sequences in an unsupervised manner. Mixture models of temporal point processes have been proposed to solve this problem, but they often suffer from overfitting, leading to…

机器学习 · 计算机科学 2024-11-08 Yiwei Dong , Shaoxin Ye , Yuwen Cao , Qiyu Han , Hongteng Xu , Hanfang Yang

Bayesian inference provides a flexible way of combining data with prior information. However, quantile regression is not equipped with a parametric likelihood, and therefore, Bayesian inference for quantile regression demands careful…

统计理论 · 数学 2012-07-24 Yunwen Yang , Xuming He

Recently, several Bayesian deep learning methods have been proposed for semi-supervised medical image segmentation. Although they have achieved promising results on medical benchmarks, some problems are still existing. Firstly, their…

计算机视觉与模式识别 · 计算机科学 2022-06-22 Jianfeng Wang , Thomas Lukasiewicz

We propose a novel generative model within the Bayesian non-parametric learning (BNPL) framework to address some notable failure modes in generative adversarial networks (GANs) and variational autoencoders (VAEs)--these being overfitting in…

机器学习 · 统计学 2025-06-24 Forough Fazeli-Asl , Michael Minyi Zhang

Models are often misspecified in practice, making model criticism a key part of Bayesian analysis. It is important to detect not only when a model is wrong, but which aspects are wrong, and to do so in a computationally convenient and…

统计方法学 · 统计学 2025-04-15 Christian T. Covington , Jeffrey W. Miller

Background: Mendelian randomization (MR) is a useful approach to causal inference from observational studies when randomised controlled trials are not feasible. However, study heterogeneity of two association studies required in MR is often…

统计方法学 · 统计学 2021-12-16 Linyi Zou , Hui Guo , Carlo Berzuini

This work introduces a new method designed for Bayesian deep learning called scalable Bayesian Monte Carlo (SBMC). The method is comprised of a model and an algorithm. The model interpolates between a point estimator and the posterior. The…

Selective classification is a powerful tool for automated decision-making in high-risk scenarios, allowing classifiers to act only when confident and abstain when uncertainty is high. Given a target accuracy, our goal is to minimize…

统计理论 · 数学 2025-10-28 Mohamed Ndaoud , Peter Radchenko , Bradley Rava

Bayesian inference allows machine learning models to express uncertainty. Current machine learning models use only a single learnable parameter combination when making predictions, and as a result are highly overconfident when their…

机器学习 · 计算机科学 2022-02-23 Andrew Wood , Moshik Hershcovitch , Daniel Waddington , Sarel Cohen , Peter Chin

Self-supervised learning has become an increasingly important paradigm in the domain of machine intelligence. Furthermore, evidence for self-supervised adaptation, such as contrastive formulations, has emerged in recent computational…

神经与进化计算 · 计算机科学 2025-03-31 Alexander Ororbia , Karl Friston , Rajesh P. N. Rao

The Bayesian elastic net regression model is characterized by the regression coefficient prior distribution, the negative log density of which corresponds to the elastic net penalty function. While Markov chain Monte Carlo (MCMC) methods…

统计计算 · 统计学 2025-01-03 Christopher M. Hans , Ningyi Liu

Hierarchical models are versatile tools for joint modeling of data sets arising from different, but related, sources. Fully Bayesian inference may, however, become computationally prohibitive if the source-specific data models are complex,…

统计计算 · 统计学 2016-05-06 Ritabrata Dutta , Paul Blomstedt , Samuel Kaski

In Bayesian inference, we seek to compute information about random variables such as moments or quantiles on the basis of {available data} and prior information. When the distribution of random variables is {intractable}, Monte Carlo (MC)…

统计理论 · 数学 2021-04-06 Alec Koppel , Amrit Singh Bedi , Brian M. Sadler , Victor Elvira

Species sampling processes have long served as the fundamental framework for modeling random discrete distributions and exchangeable sequences. However, data arising from distinct but related sources require a broader notion of…

统计理论 · 数学 2026-02-03 Beatrice Franzolini , Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

We introduce a family of multitask variational methods for semi-supervised sequence labeling. Our model family consists of a latent-variable generative model and a discriminative labeler. The generative models use latent variables to define…

计算与语言 · 计算机科学 2019-06-25 Mingda Chen , Qingming Tang , Karen Livescu , Kevin Gimpel

Inference on modern Bayesian Neural Networks (BNNs) often relies on a variational inference treatment, imposing violated assumptions of independence and the form of the posterior. Traditional MCMC approaches avoid these assumptions at the…

机器学习 · 统计学 2026-04-07 Ethan Goan , Dimitri Perrin , Kerrie Mengersen , Clinton Fookes