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A graphical model is a statistical model that is associated to a graph whose nodes correspond to variables of interest. The edges of the graph reflect allowed conditional dependencies among the variables. Graphical models admit…

统计方法学 · 统计学 2016-06-09 Mathias Drton , Marloes H. Maathuis

The main statistical distributions applicable to the analysis of genome architecture and genome tracks are briefly discussed and critically assessed. Although the observed features in distributions of element lengths can be equally well…

其他定量生物学 · 定量生物学 2015-06-17 V. R. Chechetkin

Evolutionary mechanism in a self-organized system cause some functional changes that force to adapt new conformation of the interaction pattern between the components of that system. Measuring the structural differences one can retrace the…

定量方法 · 定量生物学 2012-10-19 Anirban Banerjee

Graphical models can represent a multivariate distribution in a convenient and accessible form as a graph. Causal models can be viewed as a special class of graphical models that not only represent the distribution of the observed system…

统计方法学 · 统计学 2017-06-29 Christina Heinze-Deml , Marloes H. Maathuis , Nicolai Meinshausen

Identifying a coupled dynamical system out of many plausible candidates, each of which could serve as the underlying generator of some observed measurements, is a profoundly ill posed problem that commonly arises when modelling real world…

神经元与认知 · 定量生物学 2019-09-17 Amirhossein Jafarian , Peter Zeidman , Vladimir Litvak , Karl Friston

The graph structure of a Bayesian network (BN) can be learned from data using the well-known score-and-search approach. Previous work has shown that incorporating structured representations of the conditional probability distributions…

机器学习 · 计算机科学 2022-06-22 Charupriya Sharma , Peter van Beek

Motivated by the important problem of detecting association between genetic markers and binary traits in genome-wide association studies, we present a novel Bayesian model that establishes a hierarchy between markers and genes by defining…

应用统计 · 统计学 2016-06-22 Ian Johnston , Timothy Hancock , Hiroshi Mamitsuka , Luis Carvalho

The dynamics of coupled intermittent maps is used to model the correlated structure of genomic sequences. The use of intermittent maps, as opposed to other simple chaotic maps, is particularly suited for the production of long range…

统计力学 · 物理学 2015-06-05 Astero Provata , Christian Beck

In genome-wide prediction, independence of marker allele substitution effects is typically assumed; however, since early stages of this technology it has been known that nature points to correlated effects. In statistics, graphical models…

定量方法 · 定量生物学 2017-09-21 Carlos Alberto Martínez , Kshitij Khare , Syed Rahman , Mauricio A. Elzo

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

机器学习 · 统计学 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

We consider multivariate two-sample tests of means, where the location shift between the two populations is expected to be related to a known graph structure. An important application of such tests is the detection of differentially…

定量方法 · 定量生物学 2014-05-16 Laurent Jacob , Pierre Neuvial , Sandrine Dudoit

Gaussian graphical models provide a powerful framework to reveal the conditional dependency structure between multivariate variables. The process of uncovering the conditional dependency network is known as structure learning. Bayesian…

统计方法学 · 统计学 2024-07-30 Lucas Vogels , Reza Mohammadi , Marit Schoonhoven , S. Ilker Birbil

In this paper, the relationship between probabilistic graphical models, in particular Bayesian networks, and causal diagrams, also called structural causal models, is studied. Structural causal models are deterministic models, based on…

人工智能 · 计算机科学 2026-04-24 Peter J. F. Lucas , Eleonora Zullo , Fabio Stella

Graphs from complex systems often share a partial underlying structure across domains while retaining individual features. Thus, identifying common structures can shed light on the underlying signal, for instance, when applied to scientific…

统计方法学 · 统计学 2022-04-05 Katherine Tsai , Oluwasanmi Koyejo , Mladen Kolar

High dimensional and heterogeneous count data are collected in various applied fields. In this paper, we look closely at high-resolution sequencing data on the microbiome, which have enabled researchers to study the genomes of entire…

统计方法学 · 统计学 2024-01-12 Veronica Vinciotti , Pariya Behrouzi , Reza Mohammadi

Finding the common structural brain connectivity network for a given population is an open problem, crucial for current neuro-science. Recent evidence suggests there's a tightly connected network shared between humans. Obtaining this…

神经元与认知 · 定量生物学 2017-01-10 Nahuel Lascano , Guillermo Gallardo , Rachid Deriche , Dorian Mazauric , Demian Wassermann

Recent years have seen rapid progress at the intersection between causality and machine learning. Motivated by scientific applications involving high-dimensional data, in particular in biomedicine, we propose a deep neural architecture for…

机器学习 · 计算机科学 2022-12-12 Kai Lagemann , Christian Lagemann , Bernd Taschler , Sach Mukherjee

Structural causal models postulate noisy functional relations among a set of interacting variables. The causal structure underlying each such model is naturally represented by a directed graph whose edges indicate for each variable which…

统计理论 · 数学 2022-03-15 David Strieder , Tobias Freidling , Stefan Haffner , Mathias Drton

In the process of building (structural learning) a probabilistic graphical model from a set of observed data, the directional, cyclic dependencies between the random variables of the model are often found. Existing graphical models such as…

机器学习 · 计算机科学 2023-10-26 Oleksii Sirotkin

Understanding of the evolutionary origins of protein structures represents a key component of the understanding of molecular evolution as a whole. Here we seek to elucidate how the features of an underlying protein structural "space" might…

软凝聚态物质 · 物理学 2009-11-10 Eric J. Deeds , Nikolay V. Dokholyan , Eugene I. Shakhnovich
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