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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...
Qualitative implication and equivalence relations between treatment effects on surrogates and endpoints
Causal effect Prentice’s criterion Surrogate endpoint
2016/1/19
By the criterion for surrogates proposed by Prentice (1989), a null treatment effect on a surrogate implies a null treatment effect on a true endpoint.In this paper, we show that there may exist simul...
Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
Statistics turbulent coherent structures mechanical model the model of two-dimensional fluid motion
2014/12/29
We consider a general class of statistical mechanical models of coherent structures in turbulence, which includes models of two-dimensional fluid motion, quasi-geostrophic flows, and dispersive waves....
The generalized canonical ensemble and its universal equivalence with the microcanonical ensemble
Statistical mechanics model the equivalent subset energy generalized canonical
2014/12/25
This paper shows for a general class of statistical mechanical models that when the microcanonical and canonical ensembles are nonequivalent on a subset of values of the energy, there often exists a g...
Complete analysis of phase transitions and ensemble equivalence for the Curie-Weiss-Potts model
Structure rotating model Potts model porter model
2014/12/25
Using the theory of large deviations, we analyze the phase transition structure of the Curie–Weiss–Potts spin model, which is a mean-field approximation to the nearest-neighbor Potts model. It is equi...
Global Optimization, the Gaussian Ensemble, and Universal Ensemble Equivalence
Unconstrained problem global optimization statistical mechanics the equivalent theory of convex function
2014/12/25
Given a constrained minimization problem, under what conditions does there exist a related, unconstrained problem having the same minimum points? This basic question in global optimization motivates t...
Generalized canonical ensembles and ensemble equivalence
Boltzmann continuous function generalized canonical ensemble and physics
2014/12/25
This paper is a companion piece to our previous work [J. Stat. Phys. 119, 1283 (2005)], which introduced a generalized canonical ensemble obtained by multiplying the usual Boltzmann weight factor e...
Multibreather and vortex breather stability in Klein–Gordon lattices: Equivalence between two different approaches
Multibreather configuration stability discrete respirator the coupled oscillator
2014/12/24
In this work, we revisit the question of stability of multibreather configurations, i.e., discrete breathers with multiple excited sites at the anti-continuum limit of uncoupled oscillators. We presen...
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...
An Equivalence between the Lasso and Support Vector Machines
Equivalence the Lasso Support Vector Machines
2013/4/28
We investigate the relation of two fundamental tools in machine learning, that is the support vector machine (SVM) for classification, and the Lasso technique used in regression. We show that the resu...
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...
Non-identifiability, equivalence classes, and attribute-specific classification in Q-matrix based Cognitive Diagnosis Models
CDM diagnostic classification DINA DINO NIAD-DINA Q-matrix consistency identifiability
2013/4/27
There has been growing interest in recent years in Q-matrix based cognitive diagnosis models. Parameter estimation and respondent classification under these models may suffer due to identifiability is...
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...