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DNA sequencing is the basic workhorse of modern day biology and medicine. Shotgun sequencing is the dominant technique used: many randomly located short fragments called reads are extracted from the DNA sequence, and these reads are…

Information Theory · Computer Science 2013-02-15 Abolfazl Motahari , Guy Bresler , David Tse

Over decades, Markov chain Monte Carlo (MCMC) methods have been widely studied, with a typical application being the quantification of posterior uncertainties in Bayesian system identification of structural dynamic models. To address the…

Applications · Statistics 2026-04-28 Xianghao Meng , Yong Huang , James L. Beck , Kui Jiang , Hui Li

In genetic studies, haplotype data provide more refined information than data about separate genetic markers. However, large-scale studies that genotype hundreds to thousands of individuals may only provide results of pooled data, where…

Methodology · Statistics 2023-09-01 Yong See Foo , Jennifer A. Flegg

During cancer progression, malignant cells accumulate somatic mutations that can lead to genetic aberrations. In particular, evolutionary events akin to segmental duplications or deletions can alter the copy-number profile (CNP) of a set of…

Genomics · Quantitative Biology 2020-02-27 Garance Cordonnier , Manuel Lafond

Labeling of DNA molecules is a fundamental technique for DNA visualization and analysis. This process was mathematically modeled in [1], where the received sequence indicates the positions of the used labels. In this work, we develop error…

Information Theory · Computer Science 2025-11-04 Dganit Hanania , Eitan Yaakobi

Maximum entropy principle (MEP) offers an effective and unbiased approach to inferring unknown probability distributions when faced with incomplete information, while neural networks provide the flexibility to learn complex distributions…

Machine Learning · Statistics 2024-12-04 Wuyue Yang , Liangrong Peng , Guojie Li , Liu Hong

The genetic basis of multiple phenotypes such as gene expression, metabolite levels, or imaging features is often investigated by testing a large collection of hypotheses, probing the existence of association between each of the traits and…

Applications · Statistics 2015-04-06 Christine Peterson , Marina Bogomolov , Yoav Benjamini , Chiara Sabatti

Computer vision-based methods have valuable use cases in precision medicine, and recognizing facial phenotypes of genetic disorders is one of them. Many genetic disorders are known to affect faces' visual appearance and geometry. Automated…

Computer Vision and Pattern Recognition · Computer Science 2023-05-25 Ömer Sümer , Fabio Hellmann , Alexander Hustinx , Tzung-Chien Hsieh , Elisabeth André , Peter Krawitz

The subpopulationtion shift, characterized by a disparity in subpopulation distributibetween theween the training and target datasets, can significantly degrade the performance of machine learning models. Current solutions to subpopulation…

The detection of genomic structural variation (SV) has advanced tremendously in recent years due to progress in high-throughput sequencing technologies. Novel sequence insertions, insertions without similarity to a human reference genome,…

Genomics · Quantitative Biology 2015-04-09 Birte Kehr , Páll Melsted , Bjarni V. Halldórsson

Current machine learning has made great progress on computer vision and many other fields attributed to the large amount of high-quality training samples, while it does not work very well on genomic data analysis, since they are notoriously…

Machine Learning · Computer Science 2020-09-04 Ziyi Yang , Jun Shu , Yong Liang , Deyu Meng , Zongben Xu

RNA-Seq data characteristically exhibits large variances, which need to be appropriately accounted for in the model. We first explore the effects of this variability on the maximum likelihood estimator (MLE) of the overdispersion parameter…

Methodology · Statistics 2015-12-03 Luis Leon-Novelo , Claudio Fuentes , Sarah Emerson

Multivariate, heteroscedastic errors complicate statistical inference in many large-scale denoising problems. Empirical Bayes is attractive in such settings, but standard parametric approaches rest on assumptions about the form of the prior…

Statistics Theory · Mathematics 2024-01-02 Jake A. Soloff , Adityanand Guntuboyina , Bodhisattva Sen

Ancient inscriptions frequently suffer missing or corrupted regions from fragmentation, erosion, or other damage, hindering reading, and analysis. We review prior image restoration methods and their applicability to inscription image…

Computer Vision and Pattern Recognition · Computer Science 2026-04-22 Vasileios Toulatzis , Sofia Theodoridou , Ioannis Fudos

Industrial surface defect inspection for sample-wise quality control (QC) must simultaneously decide whether a given sample contains defects and localize those defects spatially. In real production lines, extreme foreground-background…

Computer Vision and Pattern Recognition · Computer Science 2025-10-16 Hang-Cheng Dong , Yibo Jiao , Fupeng Wei , Guodong Liu , Dong Ye , Bingguo Liu

We consider the problem of multivariate density deconvolution where the distribution of a random vector needs to be estimated from replicates contaminated with conditionally heteroscedastic measurement errors. We propose a conceptually…

Methodology · Statistics 2022-11-29 Arkaprava Roy , Abhra Sarkar

After the completion of human genome sequence was anounced, it is evident that interpretation of DNA sequences is an immediate task to work on. For understanding their signals, improvement of present sequence analysis tools and developing…

Computational Complexity · Computer Science 2007-05-23 Gene Kim , MyungHo Kim

Background: Single-cell RNA sequencing (scRNA-seq) yields valuable insights about gene expression and gives critical information about complex tissue cellular composition. In the analysis of single-cell RNA sequencing, the annotations of…

Genomics · Quantitative Biology 2023-03-29 Xiaowen Cao , Li Xing , Elham Majd , Hua He , Junhua Gu , Xuekui Zhang

A major challenge in next-generation genome sequencing (NGS) is to assemble massive overlapping short reads that are randomly sampled from DNA fragments. To complete assembling, one needs to finish a fundamental task in many leading…

Genomics · Quantitative Biology 2015-05-26 Yang Li , XifengYan

Bayesian data analysis is widely used across many disciplines, and representative examples in materials science include spectral analysis and sparse modeling. In such applications, the underlying models often become complex and yield…

Information Theory · Computer Science 2026-03-04 Tomohiro Nabika , Kenji Nagata , Shun Katakami , Masaichiro Mizumaki , Masato Okada