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An asymptotic approximation of the marginal likelihood for general Markov models
BIC marginal likelihood singular models tree models Bayesian
2011/1/18
The standard Bayesian Information Criterion (BIC) is derived under regularity conditions which are not always satis ed by the graphical models with hidden variables.
Extended Generalized-K (EGK): A New Simple and General Model for Composite Fading Channels
Extended Generalized-K (EGK) New Simple General Model Composite Fading Channels
2011/1/21
In this paper, we introduce a generalized composite fading distribution (termed extended generalized-K (EGK)) to model the envelope and the power of the received signal in millimeter wave (60 GHz or a...
Physical Equivalence of Pure States and Derivation of Qubit in General Probabilistic Theories
Physical Equivalence Pure States Derivation of Qubit General Probabilistic Theories
2011/3/4
In this paper, we investigate a characterization of Quantum Mechanics by two physical principles based on general probabilistic theories.
A complex surface of general type with $p_g=0$, $K^2=2$ and $H_1=\mathbb{Z}/4\mathbb{Z}$
complex surface of general type $p_g=0$, $K^2=2$ $H_1=\mathbb{Z}/4\mathbb{Z}$
2011/2/28
One of the greatest difficulties encountered by all in their first proof intensive class is
subtly assuming an unproven fact in a proof. The purpose of this note is to describe a specific instance wh...
The algebra of the general Markov model on phylogenetic trees and networks
general Markov model phylogenetic trees
2011/1/5
It is known that the Kimura 3ST model of sequence evolution on phylogenetic trees can be extended quite naturally to arbitrary split systems. However, this extension relies heavily on mathematical pec...
General solutions of a class of axisymmetric deformation problems based on nonlinear elasticity
partial differential equation general solution
2010/9/21
This paper studies the general solutions of a system of partial differential equations, which can describe the finite deformation of an incompressible hyperelastic cylindrical tube composed of the kno...
Extended Generalized-K (EGK): A New Simple and General Model for Composite Fading Channels
Extended Generalized-K General Model
2011/1/4
In this paper, we introduce a generalized composite fading distribution (termed extended generalized-K (EGK)) to model the envelope and the power of the received signal in millimeter wave (60 GHz or a...
Relativistic analogue of the D'Alembert principle of virtual displacements and the effective actions for the spherically-symmetric charged dust shell in General Relativity
Relativistic analogue D'Alembert principle of virtual displacements effective actions spherically-symmetric charged dust shell General Relativity
2010/12/20
A simple and direct derivation of the variational principle and effective actions for a spherical charged dust shell in general relativity is offered. This principle is based on the relativistic versi...
Brownian Motions on Metric Graphs III - Construction: General Metric Graphs
Brownian motion metric graph Wentzell boundary condition
2011/1/18
Consider a metric graph G with set of vertices V . Assume that for every vertex in V one is given a Wentzell boundary condition. It is shown how one can construct the paths of a Brownian motion on G s...
On a General Linear Nonlocal Curvature Flow of Convex Plane Curves
General Linear Nonlocal Curvature Flow Convex Plane Curves
2011/1/17
Motivated by Pan-Yang [PY] and Ma-Cheng [MC], we study a general linear nonlocal cur-vature flow for convex closed plane curves and discuss the short time existence and asymptotic
convergence behavio...
General relativity, differential geometry, and unitary theories in the work of Mira Fernandes
General relativity differential geometry unitary theories
2010/12/27
An analysis of the work of Mira Fernandes on unitary theories is presented.
Reversible and Irreversible Spacetime Thermodynamics for General Brans-Dicke Theories
Spacetime Thermodynamics General Brans-Dicke Theories
2010/12/24
We derive the equations of motion for Palatini F(R) gravity by applying an entropy balance law T dS= \delta Q+\delta N to the local Rindler wedge that can be constructed at each point of spacetime. Un...
General formulation of general-relativistic higher-order gauge-invariant perturbation theory
General formulation perturbation theory
2010/12/27
Gauge-invariant treatments of general-relativistic higher-order perturbations on generic background spacetime is proposed. After reviewing the general framework of the second-order gauge-invariant pe...
Acceleration of particles by black holes -- general explanation
particles black holes general explanation
2010/12/24
We give simple and general explanation to the effect of unbound acceleration of particles by black holes. It is related to the fact that the scalar product of a timelike vector of the four-velocity o...
We describe a way to construct supergravity models with an arbitrary inflaton potential V ({\phi}) and show that all other scalar fields in this class of models can be stabilized at the inflationary t...