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In this present work, we discuss the Bayesian inference for the bivariate pseudo-exponential distribution. Initially, we assume independent gamma priors and then pseudo-gamma priors for the pseudo-exponential parameters. We are primarily…

Methodology · Statistics 2023-06-27 Banoth Veeranna

Diffusion models have recently driven significant breakthroughs in generative modeling. While state-of-the-art models produce high-quality samples on average, individual samples can still be low quality. Detecting such samples without human…

Machine Learning · Computer Science 2025-06-13 Metod Jazbec , Eliot Wong-Toi , Guoxuan Xia , Dan Zhang , Eric Nalisnick , Stephan Mandt

It can be important in Bayesian analyses of complex models to construct informative prior distributions which reflect knowledge external to the data at hand. Nevertheless, how much prior information an analyst can elicit from an expert will…

Applications · Statistics 2017-11-10 Xueou Wang , David J. Nott , C. C. Drovandi , Kerrie Mengersen , Michael Evans

In this paper, we consider a series of events observed at spaced time intervals and present a method of representation of the series. To explain an idea, by dealing with a set of gene expression data, which could be obtained from…

Computational Complexity · Computer Science 2007-05-23 Gene Kim , MyungHo Kim

There is currently a renewed interest in the Bayesian predictive approach to statistics. This paper offers a review on foundational concepts and focuses on predictive modeling, which by directly reasoning on prediction, bypasses inferential…

Statistics Theory · Mathematics 2024-11-22 Sandra Fortini , Sonia Petrone

This paper builds on recent research that focuses on regression modeling of continuous bounded data, such as proportions measured on a continuous scale. Specifically, it deals with beta regression models with mixed effects from a Bayesian…

In microarray technology, a number of critical steps are required to convert the raw measurements into the data relied upon by biologists and clinicians. These data manipulations, referred to as preprocessing, influence the quality of the…

Applications · Statistics 2009-09-29 Zhijin Wu , Rafael A. Irizarry

Generative adversarial networks (GANs) can implicitly learn rich distributions over images, audio, and data which are hard to model with an explicit likelihood. We present a practical Bayesian formulation for unsupervised and…

Machine Learning · Statistics 2017-11-09 Yunus Saatchi , Andrew Gordon Wilson

Recent advances in graph convolutional networks have significantly improved the performance of chemical predictions, raising a new research question: "how do we explain the predictions of graph convolutional networks?" A possible approach…

Machine Learning · Computer Science 2018-07-06 Hirotaka Akita , Kosuke Nakago , Tomoki Komatsu , Yohei Sugawara , Shin-ichi Maeda , Yukino Baba , Hisashi Kashima

Consider a multinomial regression model where the response, which indicates a unit's membership in one of several possible unordered classes, is associated with a set of predictor variables. Such models typically involve a matrix of…

Applications · Statistics 2009-01-28 Paul Gustafson , Geneviève Lefebvre

We consider a prior for nonparametric Bayesian estimation which uses finite random series with a random number of terms. The prior is constructed through distributions on the number of basis functions and the associated coefficients. We…

Statistics Theory · Mathematics 2015-02-10 Weining Shen , Subhashis Ghosal

Sentiment analysis consists of evaluating opinions or statements from the analysis of text. Among the methods used to estimate the degree in which a text expresses a given sentiment, are those based on Gaussian Processes. However,…

Computation and Language · Computer Science 2019-10-15 Ibai Roman , Alexander Mendiburu , Roberto Santana , Jose A. Lozano

Genetic risk prediction is an important component of individualized medicine, but prediction accuracies remain low for many complex diseases. A fundamental limitation is the sample sizes of the studies on which the prediction algorithms are…

Methodology · Statistics 2017-06-20 Sihai Dave Zhao

Sparse modeling for signal processing and machine learning has been at the focus of scientific research for over two decades. Among others, supervised sparsity-aware learning comprises two major paths paved by: a) discriminative methods and…

Machine Learning · Statistics 2022-11-23 Lei Cheng , Feng Yin , Sergios Theodoridis , Sotirios Chatzis , Tsung-Hui Chang

Neural network based generative models with discriminative components are a powerful approach for semi-supervised learning. However, these techniques a) cannot account for model uncertainty in the estimation of the model's discriminative…

Machine Learning · Statistics 2017-06-30 Jonathan Gordon , José Miguel Hernández-Lobato

In order to improve forecasts, a decisionmaker often combines probabilities given by various sources, such as human experts and machine learning classifiers. When few training data are available, aggregation can be improved by incorporating…

Machine Learning · Computer Science 2012-07-19 Joseph Kahn

Single-cell gene expression data are often characterized by large matrices, where the number of cells may be lower than the number of genes of interest. Factorization models have emerged as powerful tools to condense the available…

Methodology · Statistics 2023-05-22 Antonio Canale , Luisa Galtarossa , Davide Risso , Lorenzo Schiavon , Giovanni Toto

$n$-gram profiles have been successfully and widely used to analyse long sequences of potentially differing lengths for clustering or classification. Mainly, machine learning algorithms have been used for this purpose but, despite their…

Methodology · Statistics 2024-09-04 José A. Perusquía , Jim E. Griffin , Cristiano Villa

In this paper we propose a Bayesian approach for inference about dependence of high throughput gene expression. Our goals are to use prior knowledge about pathways to anchor inference about dependence among genes; to account for this…

Applications · Statistics 2012-06-29 Donatello Telesca , Peter Müller , Giovanni Parmigiani , Ralph S. Freedman

This paper develops a class of Bayesian non- and semiparametric methods for estimating regression curves and surfaces. The main idea is to model the regression as locally linear, and then place suitable local priors on the local parameters.…

Methodology · Statistics 2026-02-26 Nils Lid Hjort