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We introduce a theoretical framework for understanding and predicting the complexity of sequence classification tasks, using a novel extension of the theory of Boolean function sensitivity. The sensitivity of a function, given a…

Computation and Language · Computer Science 2021-04-22 Michael Hahn , Dan Jurafsky , Richard Futrell

A different compressive sensing framework, convolution with white noise waveform followed by subsampling at fixed (not randomly selected) locations, is studied in this paper. We show that its recoverability for sparse signals depends on the…

Optimization and Control · Mathematics 2009-09-30 Yin Xiang , Lianlin Li , Fang Li

The dynamics of power grids are governed by a large number of nonlinear differential and algebraic equations (DAEs). To safely operate the system, operators need to check that the states described by these DAEs stay within prescribed limits…

Systems and Control · Electrical Eng. & Systems 2023-02-01 Wenqi Cui , Weiwei Yang , Baosen Zhang

Understanding which phenotypic traits are consistently correlated throughout evolution is a highly pertinent problem in modern evolutionary biology. Here, we propose a multivariate phylogenetic latent liability model for assessing the…

Populations and Evolution · Quantitative Biology 2015-09-17 Gabriela B. Cybis , Janet S. Sinsheimer , Trevor Bedford , Alison E. Mather , Philippe Lemey , Marc A. Suchard

The prediction of phenotypic traits using high-density genomic data has many applications such as the selection of plants and animals of commercial interest; and it is expected to play an increasing role in medical diagnostics. Statistical…

Methodology · Statistics 2016-09-29 Marco Scutari , Ian Mackay , David Balding

Infinitely many distinct trait values may arise in populations bearing quantitative traits, and modeling their population dynamics is thus a formidable task. While classical models assume fixed or infinite population size, models in which…

Populations and Evolution · Quantitative Biology 2025-05-08 Ananda Shikhara Bhat

Boolean threshold networks have recently been proposed as useful tools to model the dynamics of genetic regulatory networks, and have been successfully applied to describe the cell cycles of \textit{S. cerevisiae} and \textit{S. pombe}.…

Chaotic Dynamics · Physics 2010-11-18 Jorge G. T. Zañudo , Maximino Aldana , Gustavo Martínez-Mekler

Transcription factors (TFs) regulate gene expression through complex and co-operative mechanisms. While many TFs act together, the logic underlying TFs binding and their interactions is not fully understood yet. Most current approaches for…

Machine Learning · Computer Science 2026-03-13 Pietro Demurtas , Ferdinando Zanchetta , Giovanni Perini , Rita Fioresi

In this paper, we develop a quantile functional regression modeling framework that models the distribution of a set of common repeated observations from a subject through the quantile function, which is regressed on a set of covariates to…

Methodology · Statistics 2017-11-02 Hojin Yang , Veerabhadran Baladandayuthapani , Jeffrey S. Morris

In plant and animal breeding studies a distinction is made between the genetic value (additive + epistatic genetic effects) and the breeding value (additive genetic effects) of an individual since it is expected that some of the epistatic…

Applications · Statistics 2014-02-11 Deniz Akdemir

Learning latent expression themes that best express complex patterns in a sample is a central problem in data mining and scientific research. For example, in computational biology we seek a set of salient gene expression themes that explain…

Quantitative Methods · Quantitative Biology 2007-11-19 Edoardo M Airoldi , Stephen E Fienberg , Eric P Xing

The covariance function and the variogram play very important roles in modelling and in prediction of spatial and spatio-temporal data. The assumption of second order stationarity, in space and time, is often made in the analysis of spatial…

Statistics Theory · Mathematics 2016-10-20 T. Subba Rao , Gy. Terdik

Post-genomic research deals with challenging problems in screening genomes of organisms for particular functions or potential for being the targets of genetic engineering for desirable biological features. 'Phenotyping' of wild type and…

Quantitative Methods · Quantitative Biology 2010-09-06 Hesam T. Dashti , Jernej Tonejc , Adel Ardalan , Alireza F. Siahpirani , Sabrina Guettes , Zohreh Sharif , Liya Wang , Amir H. Assadi

Although many phenotypic traits are determined by a large number of genetic variants, the behavior of allele frequencies in a polygenic trait is not completely understood. The problem is especially challenging when the quantitative trait of…

Populations and Evolution · Quantitative Biology 2026-03-31 Archana Devi , Kavita Jain

Determining onflow parameters is crucial from the perspectives of wind tunnel testing and regular flight and wind turbine operations. These parameters have traditionally been predicted via direct measurements which might lead to challenges…

Machine Learning · Computer Science 2025-06-19 Emre Yilmaz , Philipp Bekemeyer

Background: Acceleration of adaptation dynamics by stress-induced hypermutation has been found experimentally. Evolved evolvability is a prominent explanation. We investigate a more generally applicable explanation by a physical constraint.…

Biological Physics · Physics 2011-04-12 Lennart Hilbert

Cells are known to utilize biochemical noise to probabilistically switch between distinct gene expression states. We demonstrate that such noise-driven switching is dominated by tails of probability distributions and is therefore…

Molecular Networks · Quantitative Biology 2009-11-13 Pankaj Mehta , Ranjan Mukhopadhyay , Ned S. Wingreen

Many biological systems regulate phenotypic heterogeneity as a fitness-maximising strategy in uncertain and dynamic environments. Analysis of such strategies is typically confined both to a discrete set of environmental conditions, and to a…

Populations and Evolution · Quantitative Biology 2025-07-02 Alexander P Browning , Sara Hamis

We study the phase transitions of a random copolymer chain with quenched disorder. We apply a replica variational approach based on a Gaussian trial Hamiltonian in terms of the correlation functions of monomer Fourier coordinates. This…

Disordered Systems and Neural Networks · Physics 2009-10-30 A. Moskalenko , Yu. A. Kuznetsov , K. A. Dawson

Ab initio density functional theory has been used to analyze flexural modes, elastic constants, and atomic corrugations on single and bi-layer graphene. Frequencies of flexural modes are sensitive to compressive stress; its variation under…

Materials Science · Physics 2013-01-22 P. L. de Andres , F. Guinea , M. I. Katsnelson