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Priors in Bayesian analyses often encode informative domain knowledge that can be useful in making the inference process more efficient. Occasionally, however, priors may be unrepresentative of the parameter values for a given dataset,…

统计计算 · 统计学 2022-07-05 Xi Chen , Farhan Feroz , Michael Hobson

Variational Autoencoders (VAEs) have experienced recent success as data-generating models by using simple architectures that do not require significant fine-tuning of hyperparameters. However, VAEs are known to suffer from…

机器学习 · 统计学 2020-07-22 Wei Cheng , Gregory Darnell , Sohini Ramachandran , Lorin Crawford

In this paper, we study the problem of fair classification in the presence of prior probability shifts, where the training set distribution differs from the test set. This phenomenon can be observed in the yearly records of several…

机器学习 · 计算机科学 2020-05-08 Arpita Biswas , Suvam Mukherjee

In Bayesian inference, predictive distributions are typically in the form of samples generated via Markov chain Monte Carlo (MCMC) or related algorithms. In this paper, we conduct a systematic analysis of how to make and evaluate…

统计方法学 · 统计学 2020-06-25 Fabian Krüger , Sebastian Lerch , Thordis L. Thorarinsdottir , Tilmann Gneiting

There is a rich literature proposing methods and establishing asymptotic properties of Bayesian variable selection methods for parametric models, with a particular focus on the normal linear regression model and an increasing emphasis on…

统计理论 · 数学 2011-08-16 Suprateek Kundu , David B. Dunson

The Bayesian approach to inference stands out for naturally allowing borrowing information across heterogeneous populations, with different samples possibly sharing the same distribution. A popular Bayesian nonparametric model for…

统计方法学 · 统计学 2022-01-25 Antonio Lijoi , Igor Prünster , Giovanni Rebaudo

Dependency networks (Heckerman et al., 2000) are potential probabilistic graphical models for systems comprising a large number of variables. Like Bayesian networks, the structure of a dependency network is represented by a directed graph,…

机器学习 · 计算机科学 2021-07-05 Kazuya Takabatake , Shotaro Akaho

Sparse versions of principal component analysis (PCA) have imposed themselves as simple, yet powerful ways of selecting relevant features of high-dimensional data in an unsupervised manner. However, when several sparse principal components…

机器学习 · 统计学 2019-05-22 Charles Bouveyron , Pierre Latouche , Pierre-Alexandre Mattei

When training classification models, it expects that the learned features are compact within classes, and can well separate different classes. As the dominant loss function for training classification models, minimizing cross-entropy (CE)…

机器学习 · 计算机科学 2025-05-12 Qiufu Li , Huibin Xiao , Linlin Shen

Latent class analysis is used to perform model based clustering for multivariate categorical responses. Selection of the variables most relevant for clustering is an important task which can affect the quality of clustering considerably.…

统计计算 · 统计学 2016-06-17 Arthur White , Jason Wyse , Thomas Brendan Murphy

In the quest for scalable Bayesian computational algorithms we need to exploit the full potential of existing methodologies. In this note we point out that message passing algorithms, which are very well developed for inference in graphical…

统计计算 · 统计学 2017-09-05 Omiros Papaspiliopoulos , Giacomo Zanella

Semi-supervised semantic segmentation focuses on the exploration of a small amount of labeled data and a large amount of unlabeled data, which is more in line with the demands of real-world image understanding applications. However, it is…

计算机视觉与模式识别 · 计算机科学 2023-03-28 Bo Dang , Yansheng Li , Yongjun Zhang , Jiayi Ma

Standard evaluations of Bayesian deep learning methods assume that metric estimates are reliable, but we show this assumption fails under data scarcity. Method rankings are not only unreliable at small $n$, but also dataset-dependent in…

机器学习 · 计算机科学 2026-04-28 Qishi Zhan , Minxuan Hu , Guansu Wang , Jiaxin Liu , Liang He

This article presents new methodology for sample-based Bayesian inference when data are partitioned and communication between the parts is expensive, as arises by necessity in the context of "big data" or by choice in order to take…

统计方法学 · 统计学 2022-11-01 Marc Box

Bayesian methods have proven themselves to be successful across a wide range of scientific problems and have many well-documented advantages over competing methods. However, these methods run into difficulties for two major and prevalent…

统计方法学 · 统计学 2022-07-29 John R. Lewis , Steven N. MacEachern , Yoonkyung Lee

In the absence of explicit or tractable likelihoods, Bayesians often resort to approximate Bayesian computation (ABC) for inference. Our work bridges ABC with deep neural implicit samplers based on generative adversarial networks (GANs) and…

统计方法学 · 统计学 2026-02-18 Yuexi Wang , Veronika Ročková

Bayesian averaging over classification models allows the uncertainty of classification outcomes to be evaluated, which is of crucial importance for making reliable decisions in applications such as financial in which risks have to be…

Learning a parametric model from a given dataset indeed enables to capture intrinsic dependencies between random variables via a parametric conditional probability distribution and in turn predict the value of a label variable given…

机器学习 · 统计学 2024-06-14 Elouan Argouarc'h , François Desbouvries , Eric Barat , Eiji Kawasaki

Combining data has become an indispensable tool for managing the current diversity and abundance of data. But, as data complexity and data volume swell, the computational demands of previously proposed models for combining data escalate…

统计方法学 · 统计学 2024-06-13 Mario Figueira , David Conesa , Antonio López-Quílez , Iosu Paradinas

One of the most tedious tasks in the application of machine learning is model selection, i.e. hyperparameter selection. Fortunately, recent progress has been made in the automation of this process, through the use of sequential model-based…

机器学习 · 计算机科学 2014-02-05 Alexandre Lacoste , Hugo Larochelle , François Laviolette , Mario Marchand
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