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In this paper, we introduce the first diffusion model designed to generate complete synthetic human genotypes, which, by standard protocols, one can straightforwardly expand into full-length, DNA-level genomes. The synthetic genotypes mimic…

Computational Engineering, Finance, and Science · Computer Science 2025-01-31 Philip Kenneweg , Raghuram Dandinasivara , Xiao Luo , Barbara Hammer , Alexander Schönhuth

This paper investigates the stochastic fluctuations of the number of copies of a given protein in a cell. This problem has already been addressed in the past and closed-form expressions of the mean and variance have been obtained for a…

Quantitative Methods · Quantitative Biology 2012-06-05 Vincent Fromion , Emanuele Leoncini , Philippe Robert

We propose a deep generative approach to sampling from a conditional distribution based on a unified formulation of conditional distribution and generalized nonparametric regression function using the noise-outsourcing lemma. The proposed…

Statistics Theory · Mathematics 2021-10-22 Xingyu Zhou , Yuling Jiao , Jin Liu , Jian Huang

Populations of heterogeneous cells play an important role in many biological systems. In this paper we consider systems where each cell can be modelled by an ordinary differential equation. To account for heterogeneity, parameter values are…

Quantitative Methods · Quantitative Biology 2009-09-27 Steffen Waldherr , Jan Hasenauer , Frank Allgöwer

Two-component mixture models are particularly useful for identifying differentially expressed genes, but their performance can deteriorate markedly when the alternative distribution departs from parametric assumptions or symmetry. We…

Methodology · Statistics 2026-03-18 Sangkon Oh , Geoffrey J. McLachlan

In many longitudinal microarray studies, the gene expression levels in a random sample are observed repeatedly over time under two or more conditions. The resulting time courses are generally very short, high-dimensional, and may have…

Applications · Statistics 2013-02-26 Maurice Berk , Cheryl Hemingway , Michael Levin , Giovanni Montana

We consider a method to jointly estimate sparse precision matrices and their underlying graph structures using dependent high-dimensional datasets. We present a penalized maximum likelihood estimator which encourages both sparsity and…

Applications · Statistics 2016-08-22 Adria Caballe , Natalia Bochkina , Claus Mayer

A generative modeling framework is proposed that combines diffusion models and manifold learning to efficiently sample data densities on manifolds. The approach utilizes Diffusion Maps to uncover possible low-dimensional underlying (latent)…

Machine Learning · Computer Science 2025-04-22 Dimitris G. Giovanis , Ellis Crabtree , Roger G. Ghanem , Ioannis G. Kevrekidis

The telegraph model is the standard model of stochastic gene expression, which can be solved exactly to obtain the distribution of mature RNA numbers per cell. A modification of this model also leads to an analytical distribution of the…

Subcellular Processes · Quantitative Biology 2023-08-17 Juraj Szavits-Nossan , Ramon Grima

Expressive range analysis is a visualization-based technique used to evaluate the performance of generative models, particularly in game level generation. It typically employs two quantifiable metrics to position generated artifacts on a 2D…

Machine Learning · Computer Science 2025-04-09 Mahsa Bazzaz , Seth Cooper

Recent advancements in single-cell genomics necessitate precision in gene panel selection to interpret complex biological data effectively. Those methods aim to streamline the analysis of scRNA-seq data by focusing on the most informative…

Artificial Intelligence · Computer Science 2024-06-12 Weiliang Zhang , Zhen Meng , Dongjie Wang , Min Wu , Kunpeng Liu , Yuanchun Zhou , Meng Xiao

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

This study proposes a data condensation method for multivariate kernel density estimation by genetic algorithm. First, our proposed algorithm generates multiple subsamples of a given size with replacement from the original sample. The…

Methodology · Statistics 2022-03-04 Kiheiji Nishida

Single-cell RNA sequencing (scRNA-seq) provides unprecedented insights into cellular heterogeneity, enabling detailed analysis of complex biological systems at single-cell resolution. However, the high dimensionality and technical noise…

Genomics · Quantitative Biology 2025-09-04 Hojjat Torabi Goudarzi , Maziyar Baran Pouyan

Deep directed generative models have attracted much attention recently due to their generative modeling nature and powerful data representation ability. In this paper, we review different structures of deep directed generative models and…

Machine Learning · Computer Science 2017-10-16 Siqi Nie , Meng Zheng , Qiang Ji

Transcription is a complex phenomenon that permits the conversion of genetic information into phenotype by means of an enzyme called RNA polymerase, which erratically moves along and scans the DNA template. We perform Bayesian inference…

Biological Physics · Physics 2023-07-18 Massimo Cavallaro , Yuexuan Wang , Daniel Hebenstreit , Ritabrata Dutta

Deep generative models are able to suggest new organic molecules by generating strings, trees, and graphs representing their structure. While such models allow one to generate molecules with desirable properties, they give no guarantees…

Machine Learning · Computer Science 2019-12-05 John Bradshaw , Brooks Paige , Matt J. Kusner , Marwin H. S. Segler , José Miguel Hernández-Lobato

Understanding how well a deep generative model captures a distribution of high-dimensional data remains an important open challenge. It is especially difficult for certain model classes, such as Generative Adversarial Networks and Diffusion…

Machine Learning · Computer Science 2023-08-08 Suman Ravuri , Mélanie Rey , Shakir Mohamed , Marc Deisenroth

Single-cell RNA-seq data allow the quantification of cell type differences across a growing set of biological contexts. However, pinpointing a small subset of genomic features explaining this variability can be ill-defined and…

Machine Learning · Statistics 2022-07-29 Nabeel Sarwar , Wilson Gregory , George A Kevrekidis , Soledad Villar , Bianca Dumitrascu

We derive exact solutions of simplified models for the temporal evolution of the protein concentration within a cell population arbitrarily far from the stationary state. We show that monitoring the dynamics can assist in modeling and…

Biomolecules · Quantitative Biology 2015-05-13 Sandro Azaele , Jayanth R. Banavar , Amos Maritan
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