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Fastest Mixing Markov Chain on a Graph
Markov chains second largest eigenvalue modulus fast mixing
2015/7/10
We consider a symmetric random walk on a connected graph, where each edge is labeled with the probability of transition between the two adjacent vertices. The associated Markov chain has a uniform equ...
Mixing Times for Random Walks on Geometric Random Graphs
Mixing Times Random Walks Geometric Random Graphs
2015/7/10
A geometric random graph, G^d(n,r), is formed as follows: place n nodes uniformly at random onto the surface of the d-dimensional unit torus and connect nodes which are within a distance r of each oth...
Fastest Mixing Markov Chain on Graphs with Symmetries
Markov chains fast mixing eigenvalue optimization semidefi nite programming
2015/7/9
We show how to exploit symmetries of a graph to efficiently compute the fastest mixing Markov chain on the graph (i.e., find the transition probabilities on the edges to minimize the second-largest ei...
Solitary waves in discrete media with four-wave mixing
Vector discrete model nonlinear coupling transverse electric field the transverse magnetic and linear polarization
2014/12/25
In this paper, we examine in detail the principal branches of solutions that arise in vector discrete models with nonlinear intercomponent coupling and four wave mixing. The relevant four branches of ...
Mixing Coefficients Between Discrete and Real Random Variables: Computation and Properties
Mixing Coefficients Between Discrete Real Random Variables Computation Properties
2012/9/17
In this paper we study the problem of estimating the mixing coefficients between two random vari-ables. Three different mixing coefficients are studied,namely alpha-mixing, beta-mixing and phi-mixing ...
Reverse Engineering Gene Interaction Networks Using the Phi-Mixing Coefficient
Reverse Engineering Gene Interaction Networks Phi-Mixing Coefficient
2012/9/18
In this paper, we present a new algorithm for reverse-engineering gene interaction networks (GINs) from expression data, by viewing the expres-sion levels of various genes as coupled random variables....
Reverse Engineering Gene Interaction Networks Using the Phi-Mixing Coefficient
Reverse Engineering Gene Interaction Networks Phi-Mixing Coefficient
2012/9/18
In this paper, we present a new algorithm for reverse-engineering gene interaction networks (GINs) from expression data, by viewing the expres-sion levels of various genes as coupled random variables....
Deconvolution of mixing time series on a graph
Deconvolution of mixing time latent time series state-space model
2011/6/17
In many applications we are interested in making
inference on latent time series from indirect
measurements, which are often low-dimensional
projections resulting from mixing or aggregation.
Posit...
Stochastic Approximation and Newton's Estimate of a Mixing Distribution
Stochastic approximation empirical Bayes mixture models Lyapunov functions
2011/3/23
Many statistical problems involve mixture models and the need for computationally efficient methods to estimate the mixing distribution has increased dramatically in recent years. Newton [Sankhya Ser....
We show how to control the generalization error of time series models wherein past values of the outcome are used to predict future values.
Stochastic Approximation and Newton's Estimate of a Mixing Distribution
Stochastic approximation empirical Bayes mixture models Lyapunov functions
2011/3/22
Many statistical problems involve mixture models and the need for computationally efficient methods to estimate the mixing distribution has increased dramatically in recent years. Newton [Sankhya Ser....
Mixing properties of ARCH and time-varying ARCH processes
2-mixing absolutely regular (β-mixing) ARCH(∞) conditional densities strong mixing (α-mixing) time-varying ARCH
2011/3/21
There exist very few results on mixing for non-stationary processes. However, mixing is often required in statistical inference for non-stationary processes such as time-varying ARCH (tvARCH) models. ...
Nonparametric estimation of the mixing density using polynomials
Nonparametric estimation mixing density polynomials
2010/3/10
We consider the problem of estimating the mixing density f from n i.i.d. observations distributed according to amixture density with unknown mixing distribution. In contrast with finite mixtures model...
Asymptotic behaviour of the integral of a function on the level set of a mixing random field
Asymptotic behaviour the integral of a function the level set of a mixing random field
2009/9/23
Asymptotic behaviour of the integral of a function on the level set of a mixing random field。
Cumulants for stationary mixing random sequences and applications to empirical spectral density
stationary mixing random sequences applications to empirical spectral density
2009/9/23
Cumulants for stationary mixing random sequences and applications to empirical spectral density。