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We consider tensor factorizations based on sparse measurements of the components of relatively high rank tensors. The measurements are designed in a way that the underlying graph of interactions is a random graph. The setup will be useful…

Machine Learning · Statistics 2026-04-15 Angelo Giorgio Cavaliere , Riki Nagasawa , Shuta Yokoi , Tomoyuki Obuchi , Hajime Yoshino

A gene expression compendium is a heterogeneous collection of gene expression experiments assembled from data collected for diverse purposes. The widely varied experimental conditions and genetic backgrounds across samples creates a…

Quantitative Methods · Quantitative Biology 2022-03-29 Alexandra J. Lee , Taylor Reiter , Georgia Doing , Julia Oh , Deborah A. Hogan , Casey S. Greene

Given the stochastic nature of gene expression, genetically identical cells exposed to the same environmental inputs will produce different outputs. This heterogeneity has been hypothesized to have consequences for how cells are able to…

Molecular Networks · Quantitative Biology 2020-08-19 Manuel Razo-Mejia , Sarah Marzen , Griffin Chure , Rachel Taubman , Muir Morrison , Rob Phillips

Information theory has explained the organization of many biological phenomena, from the physiology of sensory receptive fields to the variability of certain DNA sequence ensembles. Some scholars have proposed that information should…

Other Quantitative Biology · Quantitative Biology 2010-10-25 Edward K. Agarwala , Hillel J. Chiel , Peter J. Thomas

Submodular function maximization finds application in a variety of real-world decision-making problems. However, most existing methods, based on greedy maximization, assume it is computationally feasible to evaluate F, the function being…

Artificial Intelligence · Computer Science 2020-08-11 Yash Satsangi , Shimon Whiteson , Frans A. Oliehoek

We construct a gene network based on expression data from DNA microarray experiments, by establishing a link between two genes whenever the Pearson's correlation coefficient between their expression profiles is higher than a certain cutoff.…

Statistical Mechanics · Physics 2007-05-23 P. Provero

Accurate sensing of chemical concentrations is essential for numerous biological processes. The accuracy of this sensing, for small numbers of molecules, is limited by shot noise. Corresponding theoretical limits on sensing precision, as a…

Biological Physics · Physics 2026-02-09 Ketevan Danelia , Sean A. Ridout , Ilya Nemenman

Biological systems, from a cell to the human brain, are inherently complex. A powerful representation of such systems, described by an intricate web of relationships across multiple scales, is provided by complex networks. Recently, several…

Quantitative Methods · Quantitative Biology 2018-02-06 M. De Domenico

The inference of gene regulatory networks (GRNs) is a foundational stride towards deciphering the fundamentals of complex biological systems. Inferring a possible regulatory link between two genes can be formulated as a link prediction…

Machine Learning · Computer Science 2025-04-25 Binon Teji , Swarup Roy

A common trait of complex systems is that they can be represented by means of a network of interacting parts. It is, in fact, the network organisation (more than the parts) what largely conditions most higher-level properties, which are not…

Populations and Evolution · Quantitative Biology 2019-07-15 Ricard Sole , Sergi Valverde

The processes of gene expression are inherently stochastic, even for essential genes required for growth. How does the cell maximize fitness in light of noise? To answer this question, we build a mathematical model to explore the trade-off…

Molecular Networks · Quantitative Biology 2024-11-13 Teresa W. Lo , Han James Choi , Dean Huang , Paul A. Wiggins

Deep neural networks and other sophisticated machine learning models are widely applied to biomedical signal data because they can detect complex patterns and compute accurate predictions. However, the difficulty of interpreting such models…

Signal Processing · Electrical Eng. & Systems 2021-07-12 Charmaine Chia , Matteo Sesia , Chi-Sing Ho , Stefanie S. Jeffrey , Jennifer Dionne , Emmanuel J. Candès , Roger T. Howe

Recurrent neural networks are frequently studied in terms of their information-processing capabilities. The structural properties of these networks are seldom considered, beyond those emerging from the connectivity tuning necessary for…

Molecular Networks · Quantitative Biology 2025-02-20 Maria Sol Vidal-Saez , Jordi Garcia-Ojalvo

From the response to external stimuli to cell division and death, the dynamics of living cells is based on the expression of specific genes at specific times. The decision when to express a gene is implemented by the binding and unbinding…

Molecular Networks · Quantitative Biology 2009-11-13 Johannes Berg

A key question in neuroscience is at which level functional meaning emerges from biophysical phenomena. In most vertebrate systems, precise functions are assigned at the level of neural populations, while single-neurons are deemed…

Neurons and Cognition · Quantitative Biology 2017-03-17 Wieland Brendel , Ralph Bourdoukan , Pietro Vertechi , Christian K. Machens , Sophie Denéve

It is tempting to believe that we now own the genome. The ability to read and re-write it at will has ushered in a stunning period in the history of science. Nonetheless, there is an Achilles heel exposed by all of the genomic data that has…

Network science enables the effective analysis of real interconnected systems, characterized by a complex interplay between topology and interconnections strength. It is well-known that the topology of a network affects its resilience to…

Physics and Society · Physics 2021-06-10 Giulia Bertagnolli , Riccardo Gallotti , Manlio De Domenico

The diffusive arrival of transcription factors at the promoter sites on the DNA sets a lower bound on how accurately a cell can regulate its protein levels. Using results from the literature on diffusion-influenced reactions, we derive an…

Molecular Networks · Quantitative Biology 2014-10-24 Joris Paijmans , Pieter Rein ten Wolde

Our goal in this paper is to automatically extract a set of decision rules (rule set) that best explains a classification data set. First, a large set of decision rules is extracted from a set of decision trees trained on the data set. The…

Neural and Evolutionary Computing · Computer Science 2022-09-19 Paul-Amaury Matt , Rosina Ziegler , Danilo Brajovic , Marco Roth , Marco F. Huber

It has been shown that one can accommodate data (Bayes) and constraints (MaxEnt) in one method, the method of Maximum (relative) Entropy (ME) (Giffin 2007). In this paper we show a complex agent based example of inference with two different…

Methodology · Statistics 2016-09-08 Adom Giffin