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We study a general factor analysis framework where the $n$-by-$p$ data matrix is assumed to follow a general exponential family distribution entry-wise. While this model framework has been proposed before, we here further relax its…

Methodology · Statistics 2025-12-02 Liang Wang , Luis Carvalho

Inferring the directionality of interactions between cellular processes is a major challenge in systems biology. Time-lagged correlations allow to discriminate between alternative models, but they still rely on assumed underlying…

Quantitative Methods · Quantitative Biology 2017-11-15 Sourabh Lahiri , Philippe Nghe , Sander J. Tans , Martin Luc Rosinberg , David Lacoste

In many organisms the expression levels of each gene are controlled by the activation levels of known "Transcription Factors" (TF). A problem of considerable interest is that of estimating the "Transcription Regulation Networks" (TRN)…

Applications · Statistics 2010-11-09 Gareth M. James , Chiara Sabatti , Nengfeng Zhou , Ji Zhu

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 probabilistic model for interpreting gene expression levels that are observed through single-cell RNA sequencing. In the model, each cell has a low-dimensional latent representation. Additional latent variables account for…

Machine Learning · Computer Science 2018-01-18 Romain Lopez , Jeffrey Regier , Michael Cole , Michael Jordan , Nir Yosef

For the purpose of causal inference we employ a stochastic model of the data generating process, utilizing individual propensity probabilities for the treatment, and also individual and counterfactual prognosis probabilities for the…

Methodology · Statistics 2024-07-15 Brian Knaeble , Mehdi Hakim-Hashemi , Mark A. Abramson

Gene expression in individual cells is highly variable and sporadic, often resulting in the synthesis of mRNAs and proteins in bursts. Bursting in gene expression is known to impact cell-fate in diverse systems ranging from latency in HIV-1…

Molecular Networks · Quantitative Biology 2016-02-17 Niraj Kumar , Abhyudai Singh , Rahul V. Kulkarni

Fluctuations in intracellular reactions (intrinsic noise) reduce the information transmitted from an extracellular input to a cellular response. However, recent studies have demonstrated that the decrease in the transmitted information with…

Molecular Networks · Quantitative Biology 2019-10-09 Takehiro Tottori , Masashi Fujii , Shinya Kuroda

In genetic circuits, when the mRNA lifetime is short compared to the cell cycle, proteins are produced in geometrically-distributed bursts, which greatly affects the cellular switching dynamics between different metastable phenotypic…

Statistical Mechanics · Physics 2016-05-25 Shay Be'er , Metar Heller-Algazi , Michael Assaf

MicroRNAs are small noncoding RNAs that regulate genes post-transciptionally by binding and degrading target eukaryotic mRNAs. We use a quantitative model to study gene regulation by inhibitory microRNAs and compare it to gene regulation by…

Molecular Networks · Quantitative Biology 2013-09-10 Javad Noorbakhsh , Alex Lang , Pankaj Mehta

Optimization results are one method for understanding neural computation from Nature's perspective and for defining the physical limits on neuron-like engineering. Earlier work looks at individual properties or performance criteria and…

Neurons and Cognition · Quantitative Biology 2017-12-21 William B Levy , Toby Berger , Mustafa Sungkar

Signal propagation in biochemical networks is characterized by the inherent randomness in gene expression and fluctuations of the environmental components, commonly known as intrinsic and extrinsic noise, respectively. We present a…

Molecular Networks · Quantitative Biology 2024-08-09 Mintu Nandi , Sudip Chattopadhyay , Somshubhro Bandyopadhyay , Suman K Banik

The density estimation is one of the core problems in statistics. Despite this, existing techniques like maximum likelihood estimation are computationally inefficient due to the intractability of the normalizing constant. For this reason an…

Machine Learning · Computer Science 2021-01-14 Tsimboy Olga , Yermek Kapushev , Evgeny Burnaev , Ivan Oseledets

The statistical analysis of data stemming from dynamical systems, including, but not limited to, time series, routinely relies on the estimation of information theoretical quantities, most notably Shannon entropy. To this purpose, possibly…

Information Theory · Computer Science 2021-09-01 Leonardo Ricci , Alessio Perinelli , Michele Castelluzzo

Positive feedback and cooperativity in the regulation of gene expression are generally considered to be necessary for obtaining bistable expression states. Recently, a novel mechanism of bistability termed emergent bistability has been…

Quantitative Methods · Quantitative Biology 2012-10-22 Sayantari Ghosh , Subhasis Banerjee , Indrani Bose

Data containing human or social attributes may over- or under-represent groups with respect to salient social attributes such as gender or race, which can lead to biases in downstream applications. This paper presents an algorithmic…

Machine Learning · Computer Science 2020-07-01 L. Elisa Celis , Vijay Keswani , Nisheeth K. Vishnoi

The well known maximum-entropy principle due to Jaynes, which states that given mean parameters, the maximum entropy distribution matching them is in an exponential family, has been very popular in machine learning due to its "Occam's…

Machine Learning · Computer Science 2016-07-13 Yuanzhi Li , Andrej Risteski

Masked Diffusion Models (MDMs) offer flexible, non-autoregressive generation, but this freedom introduces a challenge: final output quality is highly sensitive to the decoding order. We are the first to formalize this issue, attributing the…

Computation and Language · Computer Science 2025-12-25 Ziyu Chen , Xinbei Jiang , Peng Sun , Tao Lin

Epidemic forecasting tools embrace the stochasticity and heterogeneity of disease spread to predict the growth and size of outbreaks. Conceptually, stochasticity and heterogeneity are often modeled as branching processes or as percolation…

Populations and Evolution · Quantitative Biology 2025-07-08 Mariah C. Boudreau , William H. W. Thompson , Christopher M. Danforth , Jean-Gabriel Young , Laurent Hébert-Dufresne

In a recent paper, the authors proposed a general methodology for probabilistic learning on manifolds. The method was used to generate numerical samples that are statistically consistent with an existing dataset construed as a realization…

Probability · Mathematics 2018-03-30 C. Soizea , R. Ghanem , C. Safta , X. Huan , Z. P. Vane , J. Oefelein , G. Lacaz , H. N. Najm , Q. Tang , X. Chen