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Counting and Exploring Sizes of Markov Equivalence Classes of Directed Acyclic Graphs
Directed acyclic graphs Markov equivalence class Size distribution Causal- ity
2016/1/26
When learning a directed acyclic graph (DAG) model via observational data, one gener-ally cannot identify the underlying DAG, but can potentially obtain a Markov equivalence class. The size (the numbe...
Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphs
Sparse graphical model Reversible Markov chain Markov equivalence class
2016/1/25
Graphical models are popular statistical tools which are used to represent dependent or causal complex systems. Statistically equivalent causal or directed graphical models are said to belong to a Mar...
Counting and Exploring Sizes of Markov Equivalence Classes of Directed Acyclic Graphs
Directed acyclic graphs Markov equivalence class Size distribution Causal- ity
2016/1/20
When learning a directed acyclic graph (DAG) model via observational data, one gener-ally cannot identify the underlying DAG, but can potentially obtain a Markov equivalence class. The size (the numbe...
Burton and Turvey (1990) found that two invariants, the first and second moments of mass distribution, were available and used for the perception of the length of a hand-held rod. The first predominat...
Jointly interventional and observational data: estimation of interventional Markov equivalence classes of directed acyclic graphs
Causal inference Interventions BIC Graphical model Maximum likelihood estimation Greedy equivalence search
2013/4/27
In many applications we have both observational and (randomized) interventional data. We propose a Gaussian likelihood framework for joint modeling of such different data-types, based on global parame...
The linear stochastic order and directed inference for multivariate ordered distributions
Nonparametric tests order-restricted statistical inference stochastic order relations
2013/4/27
Researchers are often interested in drawing inferences regarding the order between two experimental groups on the basis of multivariate response data. Since standard multivariate methods are designed ...
Supplement to "Reversible MCMC on Markov equivalence classes of sparse directed acyclic graphs"
Sparse graphical model Reversible Markov chain Markov equivalence class
2013/4/27
This supplementary material includes three parts: some preliminary results, four examples, an experiment, three new algorithms, and all proofs of the results in the paper "Reversible MCMC on Markov eq...
Towards Characterizing Markov Equivalence Classes for Directed Acyclic Graphs with Latent Variables
DAG maximal ancestral graph Markov equivalence
2012/9/18
It is well known that there may be many causal explanations that are consistent with a given set of data. Recent work has been done to represent the common aspects of these explanations into one repre...
On the Existence of the MLE for a Directed Random Graph Network Model with Reciprocation
Algebraic statistics Dyadic independence Exponential random graph model
2010/10/14
Holland and Leinhardt (1981) proposed a directed random graph model, the p1 model, to describe dyadic interactions in a social network. In previous work (Petrovic et al., 2010), we studied the algebra...
On convergence of L(1)-bounded martingales indexed by directed sets
convergence of L(1)-bounded martingales directed sets
2009/9/24
On convergence of L(1)-bounded martingales indexed by directed sets。
Variational Bayesian Learning of Directed Graphical Models with Hidden Variables
Approximate Bayesian Inference Bayes Factors Directed Acyclic Graphs EM Algorithm Graphical Models Markov Chain Monte Carlo
2009/9/21
A key problem in statistics and machine learning is inferring suitable
structure of a model given some observed data. A Bayesian approach to model
comparison makes use of the marginal likelihood of ...
Situational Influences on Team Helping Norms:Case Study of a Self-directed Team
Situational Influences Norms Self-directed Team
2009/7/15
A case study investigated the behavioral characteristics of a self-directed work team,
and properties of the team!ˉstask situation that may have influenced team behavior.
Results indicate that hel...
Majorizing multiplicative cascades for directed polymers in random media
Directed polymers random environment strong disorder generalized multiplicative cascades
2009/6/12
In this note we give upper bounds for the free energy of discrete directed polymers in random media. The bounds are given by the so-called generalized multiplicative cascades from the statistical theo...
Strong disorder implies strong localization for directed polymers in a random environment
Directed polymers Random environment strong disorder localization parabolic Anderson
2009/6/12
In this note we show that in any dimension d, the strong disorder property implies the strong localization property. This is established for a continuous time model of directed polymersin arandom envi...
A Condition for Weak Disorder for Directed Polymers in Random Environment
Directed polymer in random environment weak disorder size-biasing
2009/4/28
We give a sufficient criterion for the weak disorder regime of directed polymers in random environment, which extends a well-known second moment criterion. We use a stochastic representation of the si...