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From trees to barcodes and back again II: Combinatorial and probabilistic aspects of a topological inverse problem

Related publications (47)

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MATHICSE Technical Report : Quantifying uncertain system outputs via the multilevel Monte Carlo method – Part I: Central moment estimation

Fabio Nobile, Sebastian Krumscheid, Michele Pisaroni

In this work we introduce and analyze a novel multilevel Monte Carlo (MLMC) estimator for the accurate approximation of central moments of system outputs affected by uncertainties. Central moments play a central role in many disciplines to characterize a r ...

MATHICSE2017

Multiple Assembly Rules Drive the Co-occurrence of Orthopteran and Plant Species in Grasslands: Combining Network, Functional and Phylogenetic Approaches

François Gillet, Bertrand Fournier

Understanding the factors underlying the co-occurrence of multiple species remains a challenge in ecology. Biotic interactions, environmental filtering and neutral processes are among the main mechanisms evoked to explain species co-occurrence. However, th ...

Frontiers Media Sa2016

Moment bounds and asymptotics for the stochastic wave equation

Robert Dalang, Le Chen

We consider the stochastic wave equation on the real line driven by space time white noise and with irregular initial data. We give bounds on higher moments and, for the hyperbolic Anderson model, explicit formulas for second moments. These bounds imply we ...

Elsevier Science Bv2015

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Background: In cell differentiation, a cell of a less specialized type becomes one of a more specialized type, even though all cells have the same genome. Transcription factors and epigenetic marks like histone modifications can play a significant role in ...

BioMed Central2014

Background and aims - Recent methodological and theoretical advances in community ecology have allowed more robust exploration of complementary facets of biodiversity in plant communities. Focusing on semi-natural permanent grasslands of the French Jura Mo ...

Soc Royal Botan Belgique2014

National Botanic Garden of Belgium and Royal Botanical Society of Belgium2014

Epigenetic factors like histone modifications are known to play an important role in gene regulation and cell differentiation. Recently, thanks to advances in technologies like ChIP-Seq which is a high-throughput, high resolution, and low cost technology ...

EPFL2014

Coordinated expression of HoxD cluster genes is crucial for the emergence and patterning of both developing digits and external genitalia. As a shared evolutionary origin has been proposed for these secondary structures, which may have accompanied the tran ...

EPFL2013

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Comparing two or more phylogenetic trees is a fundamental task in computational biology. The simplest outcome of such a comparison is a pairwise measure of similarity, dissimilarity, or distance. A large number of such measures have been proposed, but so f ...

2012

Models and Algorithms for Whole-Genome Evolution and their Use in Phylogenetic Inference

Yu Lin

The rapid accumulation of sequenced genomes offers the chance to resolve longstanding questions about the evolutionary histories, or phylogenies, of groups of organisms. The relatively rare occurrence of large-scale evolutionary events in a whole genome, e ...

EPFL2012