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This paper discusses the problem of identifying differentially expressed groups of genes from a microarray experiment. The groups of genes are externally defined, for example, sets of gene pathways derived from biological databases. Our…

Statistics Theory · Mathematics 2009-09-29 Bradley Efron , Robert Tibshirani

This work presents a generative modeling approach based on successive subspace learning (SSL). Unlike most generative models in the literature, our method does not utilize neural networks to analyze the underlying source distribution and…

Computer Vision and Pattern Recognition · Computer Science 2022-08-24 Zohreh Azizi , C. -C. Jay Kuo

Divide-and-conquer based methods for Bayesian inference provide a general approach for tractable posterior inference when the sample size is large. These methods divide the data into smaller subsets, sample from the posterior distribution…

Methodology · Statistics 2018-06-21 Sanvesh Srivastava , Cheng Li , David B. Dunson

Differentially private data generation techniques have become a promising solution to the data privacy challenge -- it enables sharing of data while complying with rigorous privacy guarantees, which is essential for scientific progress in…

Cryptography and Security · Computer Science 2022-11-09 Dingfan Chen , Raouf Kerkouche , Mario Fritz

Learning latent expression themes that best express complex patterns in a sample is a central problem in data mining and scientific research. For example, in computational biology we seek a set of salient gene expression themes that explain…

Quantitative Methods · Quantitative Biology 2007-11-19 Edoardo M Airoldi , Stephen E Fienberg , Eric P Xing

Recently, ultra high-throughput sequencing of RNA (RNA-Seq) has been developed as an approach for analysis of gene expression. By obtaining tens or even hundreds of millions of reads of transcribed sequences, an RNA-Seq experiment can offer…

Methodology · Statistics 2011-06-17 Julia Salzman , Hui Jiang , Wing Hung Wong

We propose a novel approach to Bayesian analysis that is provably robust to outliers in the data and often has computational advantages over standard methods. Our technique is based on splitting the data into non-overlapping subgroups,…

Statistics Theory · Mathematics 2016-06-03 Stanislav Minsker , Sanvesh Srivastava , Lizhen Lin , David B. Dunson

Interpretability is crucial for machine learning in many scenarios such as quantitative finance, banking, healthcare, etc. Symbolic regression (SR) is a classic interpretable machine learning method by bridging X and Y using mathematical…

Methodology · Statistics 2020-01-17 Ying Jin , Weilin Fu , Jian Kang , Jiadong Guo , Jian Guo

The determination of a patient's DNA sequence can, in principle, reveal an increased risk to fall ill with particular diseases [1,2] and help to design "personalized medicine" [3]. Moreover, statistical studies and comparison of genomes [4]…

In high-dimensional Bayesian statistics, various methods have been developed, including prior distributions that induce parameter sparsity to handle many parameters. Yet, these approaches often overlook the rich spectral structure of the…

Statistics Theory · Mathematics 2025-05-06 Tomoya Wakayama , Masaaki Imaizumi

Detecting and discovering new gene interactions based on known gene expressions and gene interaction data presents a significant challenge. Various statistical and deep learning methods have attempted to tackle this challenge by leveraging…

Machine Learning · Computer Science 2023-10-09 Ahmed Fakhry , Raneem Khafagy , Adriaan-Alexander Ludl

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…

Machine Learning · Statistics 2008-11-18 Jarkko Salojärvi , Kai Puolamäki , Eerika Savia , Samuel Kaski

This paper presents a machine learning framework for Bayesian systems identification from noisy, sparse and irregular observations of nonlinear dynamical systems. The proposed method takes advantage of recent developments in differentiable…

Machine Learning · Computer Science 2020-04-21 Yibo Yang , Mohamed Aziz Bhouri , Paris Perdikaris

Microarrays are made it possible to simultaneously monitor the expression profiles of thousands of genes under various experimental conditions. Identification of co-expressed genes and coherent patterns is the central goal in microarray or…

Computational Engineering, Finance, and Science · Computer Science 2013-07-15 T. Chandrasekhar , K. Thangavel , E. Elayaraja , E. N. Sathishkumar

Deep neural networks do not discriminate between spurious and causal patterns, and will only learn the most predictive ones while ignoring the others. This shortcut learning behaviour is detrimental to a network's ability to generalize to…

Machine Learning · Computer Science 2023-01-11 Thomas Duboudin , Emmanuel Dellandréa , Corentin Abgrall , Gilles Hénaff , Liming Chen

The inference of gene-regulatory processes from gene-expression data belongs to the major challenges of computational systems biology. Here we address the problem from a statistical-physics perspective and develop a message-passing…

Quantitative Methods · Quantitative Biology 2008-12-05 A. Braunstein , A. Pagnani , M. Weigt , R. Zecchina

We present a bi-encoder framework for named entity recognition (NER), which applies contrastive learning to map candidate text spans and entity types into the same vector representation space. Prior work predominantly approaches NER as…

Computation and Language · Computer Science 2023-02-24 Sheng Zhang , Hao Cheng , Jianfeng Gao , Hoifung Poon

In this article a novel approach for training deep neural networks using Bayesian techniques is presented. The Bayesian methodology allows for an easy evaluation of model uncertainty and additionally is robust to overfitting. These are…

Machine Learning · Computer Science 2019-04-03 Konstantin Posch , Jürgen Pilz

Single-cell RNA-sequencing (scRNA-seq) has become a routinely used technique to quantify the gene expression profile of thousands of single cells simultaneously. Analysis of scRNA-seq data plays an important role in the study of cell states…

Genomics · Quantitative Biology 2022-10-13 Matthew Brendel , Chang Su , Zilong Bai , Hao Zhang , Olivier Elemento , Fei Wang

Named entity recognition (NER) is a well-studied task in natural language processing. Traditional NER research only deals with flat entities and ignores nested entities. The span-based methods treat entity recognition as a span…

Computation and Language · Computer Science 2021-07-14 Yongliang Shen , Xinyin Ma , Zeqi Tan , Shuai Zhang , Wen Wang , Weiming Lu