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We propose a Bayesian approach to learn discriminative dictionaries for sparse representation of data. The proposed approach infers probability distributions over the atoms of a discriminative dictionary using a Beta Process. It also…

Computer Vision and Pattern Recognition · Computer Science 2015-03-30 Naveed Akhtar , Faisal Shafait , Ajmal Mian

Gene expression analysis is a critical method for cancer classification, enabling precise diagnoses through the identification of unique molecular signatures associated with various tumors. Identifying cancer-specific genes from gene…

Quantitative Methods · Quantitative Biology 2024-10-11 Farzana Tabassum , Sabrina Islam , Siana Rizwan , Masrur Sobhan , Tasnim Ahmed , Sabbir Ahmed , Tareque Mohmud Chowdhury

This paper serves as a reference and introduction to using the R package dapper. dapper encodes a sampling framework which allows exact Markov chain Monte Carlo simulation of parameters and latent variables in a statistical model given…

Computation · Statistics 2024-12-20 Kevin Eng , Jordan A. Awan , Nianqiao Phyllis Ju , Vinayak A. Rao , Ruobin Gong

In immunological studies, the characterization of small, functionally distinct cell subsets from blood and tissue is crucial to decipher system level biological changes. An increasing number of studies rely on assays that provide…

Synthetic data is a promising approach to privacy protection in many contexts. A Bayesian synthesis model, also known as a synthesizer, simulates synthetic values of sensitive variables from their posterior predictive distributions. The…

Methodology · Statistics 2021-03-18 Ryan Hornby , Jingchen Hu

In large scale multiple testing problems, a two-class empirical Bayes approach can be used to control the false discovery rate (Fdr) for the entire array of hypotheses under study. A sample splitting step is incorporated to modify that…

Computation · Statistics 2019-12-13 Paramita Chakraborty , Chong Ma , John Grego , James Lynch

Differential privacy formalises privacy-preserving mechanisms that provide access to a database. We pose the question of whether Bayesian inference itself can be used directly to provide private access to data, with no modification. The…

High-throughput genetic and epigenetic data are often screened for associations with an observed phenotype. For example, one may wish to test hundreds of thousands of genetic variants, or DNA methylation sites, for an association with…

Methodology · Statistics 2017-10-20 Eric F. Lock , David B. Dunson

It is largely taken for granted that differential abundance analysis is, by default, the best first step when analyzing genomic data. We argue that this is not necessarily the case. In this article, we identify key limitations that are…

Methodology · Statistics 2021-06-09 Thomas P Quinn , Elliott Gordon-Rodriguez , Ionas Erb

Modern machine learning applications should be able to address the intrinsic challenges arising over inference on massive real-world datasets, including scalability and robustness to outliers. Despite the multiple benefits of Bayesian…

Machine Learning · Computer Science 2020-11-10 Dionysis Manousakas , Cecilia Mascolo

Transfer learning enhances model performance in a target population with limited samples by leveraging knowledge from related studies. While many works focus on improving predictive performance, challenges of statistical inference persist.…

Methodology · Statistics 2024-12-05 Daoyuan Lai , Oscar Hernan Madrid Padilla , Tian Gu

We present the extention and application of a new unsupervised statistical learning technique--the Partition Decoupling Method--to gene expression data. Because it has the ability to reveal non-linear and non-convex geometries present in…

Quantitative Methods · Quantitative Biology 2015-09-24 Rosemary Braun , Gregory Leibon , Scott Pauls , Daniel Rockmore

Transcriptomic analysis are characterized by being not directly quantitative and only providing relative measurements of expression levels up to an unknown individual scaling factor. This difficulty is enhanced for differential expression…

Methodology · Statistics 2021-03-24 Dorota Desaulle , Céline Hoffmann , Bernard Hainque , Yves Rozenholc

Despite their success and widespread adoption, the opaque nature of deep neural networks (DNNs) continues to hinder trust, especially in critical applications. Current interpretability solutions often yield inconsistent or oversimplified…

Machine Learning · Computer Science 2024-10-10 Alec F. Diallo , Vaishak Belle , Paul Patras

Identifying latent structure in large data matrices is essential for exploring biological processes. Here, we consider recovering gene co-expression networks from gene expression data, where each network encodes relationships between genes…

Methodology · Statistics 2014-11-10 Chuan Gao , Shiwen Zhao , Ian C. McDowell , Christopher D. Brown , Barbara E. Engelhardt

Discovering causal genetic variants from large genetic association studies poses many difficult challenges. Assessing which genetic markers are involved in determining trait status is a computationally demanding task, especially in the…

Genomics · Quantitative Biology 2015-04-09 Andrew L. Beam , Alison Motsinger-Reif , Jon Doyle

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…

Machine Learning · Computer Science 2023-11-10 Anshuk Uppal , Kristoffer Stensbo-Smidt , Wouter Boomsma , Jes Frellsen

Motivation: Modelling methods that find structure in data are necessary with the current large volumes of genomic data, and there have been various efforts to find subsets of genes exhibiting consistent patterns over subsets of treatments.…

Machine Learning · Computer Science 2016-09-15 Kerstin Bunte , Eemeli Leppäaho , Inka Saarinen , Samuel Kaski

In Generalised Bayesian Inference (GBI), the learning rate and hyperparameters of the loss must be estimated. These inference-hyperparameters can't be estimated jointly with the other parameters, from the data, by giving them a prior.…

Methodology · Statistics 2026-05-18 Jeong Eun Lee , Sitong Liu , Geoff K. Nicholls

The advent of high--throughput transcription profiling technologies has enabled identification of genes and pathways associated with disease, providing new avenues for precision medicine. A key challenge is to analyze this data in the…

Quantitative Methods · Quantitative Biology 2019-01-11 Sahil D. Shah , Rosemary Braun
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