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Estimating the model evidence - or mariginal likelihood of the data - is a notoriously difficult task for finite and infinite mixture models and we reexamine here different Monte Carlo techniques advocated in the recent literature, as well…

Computation · Statistics 2022-05-12 Adrien Hairault , Christian P. Robert , Judith Rousseau

Symbolic regression aims to find a function that best explains the relationship between independent variables and the objective value based on a given set of sample data. Genetic programming (GP) is usually considered as an appropriate…

Neural and Evolutionary Computing · Computer Science 2022-09-26 Changtong Luo , Chen Chen , Zonglin Jiang

In causal inference, and specifically in the \textit{Causes of Effects} problem, one is interested in how to use statistical evidence to understand causation in an individual case, and so how to assess the so-called {\em probability of…

Methodology · Statistics 2018-10-23 Fabio Corradi , Monica Musio

This paper proposes an efficient approach to learning disentangled representations with causal mechanisms based on the difference of conditional probabilities in original and new distributions. We approximate the difference with models'…

Machine Learning · Computer Science 2024-01-03 Yuanpeng Li , Joel Hestness , Mohamed Elhoseiny , Liang Zhao , Kenneth Church

Motivation: The mapping of RNA-seq reads to their transcripts of origin is a fundamental task in transcript expression estimation and differential expression scoring. Where ambiguities in mapping exist due to transcripts sharing sequence,…

Genomics · Quantitative Biology 2015-01-28 James Hensman , Peter Glaus , Antti Honkela , Magnus Rattray

Gene expression is a complex phenomenon involving numerous interlinked variables, and studying these variables to control expression is essential in bioengineering and biomanufacturing. While cloning techniques for achieving plasmid…

Quantitative Methods · Quantitative Biology 2025-01-30 Khushank Singhal , Harry Adamson , Thomas Baer , Howard Salis , Melik Demirel

This analysis report presents an in-depth exploration of multiple hypothesis testing in the context of Genomics RNA-seq differential expression (DE) analysis, with a primary focus on techniques designed to control the false discovery rate…

Methodology · Statistics 2025-07-01 Shyam Gupta

We study simple mathematical models of gene expression to explore the possible origins of haploinsufficiency (HI). In a diploid organism, each gene exists in two copies and when one of these is mutated, the amount of proteins synthesized is…

Other Quantitative Biology · Quantitative Biology 2007-05-23 Indrani Bose , Rajesh Karmakar

We present a method for identification of models with good predictive performances in the family of Bayesian log-linear mixed models with Dirichlet process random effects. Such a problem arises in many different applications; here we…

Methodology · Statistics 2018-01-17 Cinzia Carota , Maurizio Filippone , Silvia Polettini

Deep ensembles perform better than a single network thanks to the diversity among their members. Recent approaches regularize predictions to increase diversity; however, they also drastically decrease individual members' performances. In…

Machine Learning · Computer Science 2021-01-15 Alexandre Rame , Matthieu Cord

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…

Methodology · Statistics 2022-07-29 John R. Lewis , Steven N. MacEachern , Yoonkyung Lee

We consider a problem of data integration. Consider determining which genes affect a disease. The genes, which we call predictor objects, can be measured in different experiments on the same individual. We address the question of finding…

Machine Learning · Statistics 2016-10-04 Xin Gao , Raymond J. Carroll

Modern high-throughput sequencing assays efficiently capture not only gene expression and different levels of gene regulation but also a multitude of genome variants. Focused analysis of alternative alleles of variable sites at homologous…

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

Cellular differentiation in a developping organism is studied via a discrete bistable reaction-diffusion model. A system of undifferentiated cells is allowed to receive an inductive signal emenating from its environment. Depending on the…

Pattern Formation and Solitons · Physics 2009-11-10 Gabor Fath , Zbigniew Domanski

Computational complexity is a key limitation of genomic analyses. Thus, over the last 30 years, researchers have proposed numerous fast heuristic methods that provide computational relief. Comparing genomic sequences is one of the most…

We consider the problem of jointly testing multiple hypotheses and estimating a random parameter of the underlying distribution. This problem is investigated in a sequential setup under mild assumptions on the underlying random process. The…

Signal Processing · Electrical Eng. & Systems 2021-05-07 Dominik Reinhard , Michael Fauß , Abdelhak M. Zoubir

We consider conditional exact tests of factor effects in designed experiments for discrete response variables. Similarly to the analysis of contingency tables, a Markov chain Monte Carlo method can be used for performing exact tests, when…

Statistics Theory · Mathematics 2009-11-20 Satoshi Aoki , Akimichi Takemura

One of the most popular tools for large scale gene expression studies are high-density oligonucleotide (GeneChip(R)) arrays. These currently have 16-20 small probe cells (``features'') for evaluating the transcript abundance of each gene.…

Biological Physics · Physics 2007-05-23 Felix Naef , Daniel A. Lim , Nila Patil , Marcelo O. Magnasco

Diagnostic testing is germane to a variety of scenarios in medicine, pandemic tracking, threat detection, and signal processing. This is an expository paper with some original results. Here we first set up a mathematical architecture for…

Methodology · Statistics 2020-09-01 Nozer D. Singpurwalla , Boya Lai