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Bayesian Neural Networks (BNNs) offer a principled and natural framework for proper uncertainty quantification in the context of deep learning. They address the typical challenges associated with conventional deep learning methods, such as…

统计计算 · 统计学 2024-11-13 Zahra Moslemi , Yang Meng , Shiwei Lan , Babak Shahbaba

This paper discusses the application of a Bayesian neural network based on the Markov Chain Monte Carlo method in medical image classification with small samples. Experimental results on two medical image datasets, including lung X-ray…

统计计算 · 统计学 2024-09-20 Mingyu Sun

We analyze binary data, available for a relatively large number (big data) of families (or households), which are within small areas, from a population-based survey. Inference is required for the finite population proportion of individuals…

统计方法学 · 统计学 2018-06-04 Balgobin Nandram , Lu Chen , Shuting Fu , Binod Manandhar

We introduce a novel and scalable Bayesian framework for multivariate-density-density regression (DDR), designed to model relationships between multivariate distributions. Our approach addresses the critical issue of distributions residing…

统计方法学 · 统计学 2025-09-24 Khai Nguyen , Yang Ni , Peter Mueller

A common task in experimental sciences is to fit mathematical models to real-world measurements to improve understanding of natural phenomenon (reverse-engineering or inverse modeling). When complex dynamical systems are considered, such as…

数值分析 · 数学 2018-06-18 Jean-Charles Croix , Nicolas Durrande , Mauricio Alvarez

Despite the promise of Convolutional neural network (CNN) based classification models for histopathological images, it is infeasible to quantify its uncertainties. Moreover, CNNs may suffer from overfitting when the data is biased. We show…

计算机视觉与模式识别 · 计算机科学 2021-11-09 Ponkrshnan Thiagarajan , Pushkar Khairnar , Susanta Ghosh

We propose a probabilistic model for interpreting gene expression levels that are observed through single-cell RNA sequencing. In the model, each cell has a low-dimensional latent representation. Additional latent variables account for…

机器学习 · 计算机科学 2017-10-18 Romain Lopez , Jeffrey Regier , Michael Cole , Michael Jordan , Nir Yosef

Recurrent Neural Networks (RNNs) are popular models of brain function. The typical training strategy is to adjust their input-output behavior so that it matches that of the biological circuit of interest. Even though this strategy ensures…

神经元与认知 · 定量生物学 2020-11-09 Alessandro Salatiello , Martin A. Giese

Despite theoretical advantages, causal methods for Gene Regulatory Network (GRN) inference from single-cell RNA-seq data consistently fail to match or outperform correlation-based baselines in many realistic benchmarks, a persistent puzzle…

High-throughput biological assays such as microarrays let us ask very detailed questions about how diseases operate, and promise to let us personalize therapy. Data processing, however, is often not described well enough to allow for exact…

应用统计 · 统计学 2010-10-07 Keith A. Baggerly , Kevin R. Coombes

The large bulk of work in multiple testing has focused on specifying procedures that control the false discovery rate (FDR), with relatively less attention being paid to the corresponding Type II error known as the false non-discovery rate…

统计理论 · 数学 2020-05-11 Max Rabinovich , Michael I. Jordan , Martin J. Wainwright

Next-generation RNA sequencing (RNA-seq) technology has been widely used to assess full-length RNA isoform abundance in a high-throughput manner. RNA-seq data offer insight into gene expression levels and transcriptome structures, enabling…

应用统计 · 统计学 2021-12-01 Wei Vivian Li , Anqi Zhao , Shihua Zhang , Jingyi Jessica Li

In the past few years, approximate Bayesian Neural Networks (BNNs) have demonstrated the ability to produce statistically consistent posteriors on a wide range of inference problems at unprecedented speed and scale. However, any disconnect…

宇宙学与河外天体物理 · 物理学 2021-03-24 Sebastian Wagner-Carena , Ji Won Park , Simon Birrer , Philip J. Marshall , Aaron Roodman , Risa H. Wechsler

Signal artefacts due to Radio Frequency Interference (RFI) are a common nuisance in radio astronomy. Conventionally, the RFI-affected data are tagged by an expert data analyst in order to warrant data quality. In view of the increasing data…

天体物理仪器与方法 · 物理学 2018-08-30 Paul Ray Burd , Karl Mannheim , Tobias März , Jonas Ringholz , Alexander Kappes , Matthias Kadler

Large-scale multiple two-sample {\em Student}'s $t$ testing problems often arise from the statistical analysis of scientific data. To detect components with different values between two mean vectors, a well-known procedure is to apply the…

统计方法学 · 统计学 2014-10-17 Weidong Liu

Objective: Sparse Bayesian learning provides an effective scheme to solve the high-dimensional problem in brain signal decoding. However, traditional assumptions regarding data distributions such as Gaussian and binomial are potentially…

信号处理 · 电气工程与系统科学 2025-08-19 Yuanhao Li , Badong Chen , Wenjun Bai , Yasuharu Koike , Okito Yamashita

Inverse problems and, in particular, inferring unknown or latent parameters from data are ubiquitous in engineering simulations. A predominant viewpoint in identifying unknown parameters is Bayesian inference where both prior information…

统计计算 · 统计学 2022-08-31 Vahid Keshavarzzadeh , Robert M. Kirby , Akil Narayan

Antennas are a key element in any communication system and vector network analyser (VNA) is popular tool for charactering antenna impedance bandwidth. In this paper, an efficient uncertainty evaluation method is proposed for VNA measurement…

信号处理 · 电气工程与系统科学 2018-09-24 Min Wang , Yongjiu Zhao , Tian Hong Loh , Qian Xu , Yonggang Zhou

Data for several applications in diverse fields can be represented as multiple matrices that are linked across rows or columns. This is particularly common in molecular biomedical research, in which multiple molecular "omics" technologies…

机器学习 · 统计学 2024-08-02 Eric F. Lock

International comparisons of hierarchical time series data sets based on survey data, such as annual country-level estimates of school enrollment rates, can suffer from large amounts of missing data due to differing coverage of surveys…

统计方法学 · 统计学 2025-03-31 Daphne H. Liu , Adrian E. Raftery