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Pair Hidden Markov Models (PHMMs) are probabilistic models used for pairwise sequence alignment, a quintessential problem in bioinformatics. PHMMs include three types of hidden states: match, insertion and deletion. Most previous studies…

Quantitative Methods · Quantitative Biology 2017-10-17 Taikai Takeda , Michiaki Hamada

In the last years, tens of thousands gene expression profiles for cells of several organisms have been monitored. Gene expression is a complex transcriptional process where mRNA molecules are translated into proteins, which control most of…

Biomolecules · Quantitative Biology 2009-11-11 T. Ochiai , J. C. Nacher , T. Akutsu

We propose a new statistical approach to obtain differential gene expression of non-detects in quantitative real-time PCR (qPCR) experiments through Bayesian hierarchical modeling. We propose to treat non-detects as non-random missing data,…

Applications · Statistics 2019-10-31 Valeriia Sherina , Matthew N. McCall , Tanzy M. T. Love

The development of novel high-throughput sequencing (HTS) methods for RNA (RNA-Seq) has provided a very powerful mean to study splicing under multiple conditions at unprecedented depth. However, the complexity of the information to be…

Genomics · Quantitative Biology 2015-08-03 Gael P. Alamancos , Eneritz Agirre , Eduardo Eyras

Most human protein-coding genes can be transcribed into multiple possible distinct mRNA isoforms. These alternative splicing patterns encourage molecular diversity and dysregulation of isoform expression plays an important role in disease…

Quantitative Methods · Quantitative Biology 2018-05-09 Derek Aguiar , Li-Fang Cheng , Bianca Dumitrascu , Fantine Mordelet , Athma A Pai , Barbara E Engelhardt

RNA secondary structure is modeled with the novel arbitrary-order hidden Markov model ({\alpha}-HMM). The {\alpha}-HMM extends over the traditional HMM with capability to model stochastic events that may be in influenced by historically…

Biomolecules · Quantitative Biology 2024-01-09 Sixiang Zhang , Aaron J. Yang , Liming Cai

In this study, we propose a hidden Markov mixture model for the analysis of gene expression measurements mapped to chromosome locations. These expression values represent preprocessed light intensities observed in each probe of Affymetrix…

Applications · Statistics 2016-09-27 Vinícius Diniz Mayrink , Flávio Bambirra Gonçalves

Hidden Markov models (HMMs) offer a robust and efficient framework for analyzing time series data, modelling both the underlying latent state progression over time and the observation process, conditional on the latent state. However, a…

Applications · Statistics 2024-07-19 Ioannis Rotous , Alex Diana , Alessio Farcomeni , Eleni Matechou , Andréa Thiebault

Identification of clusters of co-expressed genes in transcriptomic data is a difficult task. Most algorithms used for this purpose can be classified into two broad categories: distance-based or model-based approaches. Distance-based…

Applications · Statistics 2022-09-26 Gabriel Lozano , Nadia Atallah , Michael Levine

In this work we present a flexible, probabilistic and reference-free method of error correction for high throughput DNA sequencing data. The key is to exploit the high coverage of sequencing data and model short sequence outputs as…

Information Theory · Computer Science 2013-02-04 Xin Yin , Zhao Song , Karin Dorman , Aditya Ramamoorthy

Discovering genes with similar functions across diverse biomedical contexts poses a significant challenge in gene representation learning due to data heterogeneity. In this study, we resolve this problem by introducing a novel model called…

Machine Learning · Computer Science 2023-10-05 Tianyu Liu , Yuge Wang , Rex Ying , Hongyu Zhao

Single nucleotide polymorphism (SNP) datasets are fundamental to genetic studies but pose significant privacy risks when shared. The correlation of SNPs with each other makes strong adversarial attacks such as masked-value reconstruction,…

Machine Learning · Computer Science 2025-10-08 Shadi Rahimian , Mario Fritz

Sequence-based protein homology detection has been extensively studied and so far the most sensitive method is based upon comparison of protein sequence profiles, which are derived from multiple sequence alignment (MSA) of sequence homologs…

Quantitative Methods · Quantitative Biology 2015-06-18 Jianzhu Ma , Sheng Wang , Zhiyong Wang , Jinbo Xu

The Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) is a natural Bayesian nonparametric extension of the classical Hidden Markov Model for learning from (spatio-)temporal data. A sticky HDP-HMM has been proposed to strengthen…

Machine Learning · Computer Science 2024-11-08 Mikołaj Słupiński , Piotr Lipiński

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the traditional HMM. However, in many settings the HDP-HMM's strict Markovian constraints are…

Machine Learning · Computer Science 2012-03-19 Matthew J. Johnson , Alan Willsky

We study sequential Bayesian inference in stochastic kinetic models with latent factors. Assuming continuous observation of all the reactions, our focus is on joint inference of the unknown reaction rates and the dynamic latent states,…

Computation · Statistics 2014-09-10 Junjing Lin , Michael Ludkovski

With the symbolic framework of Probability Bracket Notation (PBN), the Markov Sequence Projector (MSP) is introduced to expand the evolution formula of Homogeneous Markov Chains (HMCs). The well-known weather example, a Visible Markov Model…

Artificial Intelligence · Computer Science 2025-02-21 Xing M. Wang

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

High-throughput RNA-sequencing (RNA-seq) technologies are powerful tools for understanding cellular state. Often it is of interest to quantify and summarize changes in cell state that occur between experimental or biological conditions.…

Methodology · Statistics 2021-02-16 Andrew Jones , F. William Townes , Didong Li , Barbara E. Engelhardt

We consider a hidden Markov model, where the signal process, given by a diffusion, is only indirectly observed through some noisy measurements. The article develops a variational method for approximating the hidden states of the signal…

Optimization and Control · Mathematics 2016-10-26 Tobias Sutter , Arnab Ganguly , Heinz Koeppl
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