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HodgeRank on Random Graphs for Subjective Video Quality Assessment
Video Quality Assessment Paired Comparison HodgeRank Random Graphs Persistence Homology
2016/1/25
This paper introduces a novel framework, HodgeR-ank on Random Graphs (HRRG), based on paired comparison,for subjective video quality assessment. Two types of random graph models are studied, i.e., Erd...
HodgeRank on Random Graphs for Subjective Video Quality Assessment
Video Quality Assessment Paired Comparison HodgeRank Random Graphs Persistence Homology
2016/1/20
This paper introduces a novel framework, HodgeR-ank on Random Graphs (HRRG), based on paired comparison,for subjective video quality assessment. Two types of random graph models are studied, i.e., Erd...
The AEP algorithm for the fast computation of the distribution of the sum of dependent random variables
convolution istribution functions
2011/7/5
We propose a new algorithm to compute numerically the distribution function of the sum of $d$ dependent, non-negative random variables with given joint distribution.
The random design setting for linear regression concerns estimators based on a random sample of covariate/response pairs.
Reconstruction from anisotropic random measurements
Reconstruction anisotropic random measurements
2011/7/5
Random matrices are widely used in sparse recovery problems, and the relevant properties of matrices with i.i.d. entries are well understood.
Limiting Laws of Coherence of Random Matrices with Applications to Testing Covariance Structure and Construction of Compressed Sensing Matrices
Chen-Stein method coherence compressed sensing matrix covariance struc-ture law of large numbers limiting distribution maxima moderate deviations mutual incoherence property random matrix sample correlation matrix
2011/3/21
Kernel density estimation (KDE) is a popular statistical technique for estimating the underlying density distribution with minimal assumptions. Although they can be shown to achieve asymptotic estimat...
Limiting Laws of Coherence of Random Matrices with Applications to Testing Covariance Structure and Construction of Compressed Sensing Matrices
Chen-Stein method coherence compressed sensing matrix covariance struc-ture law of large numbers limiting distribution maxima moderate deviations mutual incoherence property random matrix sample correlation matrix
2011/3/23
Testing covariance structure is of significant interest in many areas of statistical analysis and construction of compressed sensing matrices is an important problem in signal processing. Motivated b...
Estimating and Understanding Exponential Random Graph Models
Random graph Erd-os-Renyi graph limit Exponential Random Graphs param-eter estimation
2011/3/25
We introduce a new method for estimating the parameters of exponential random graph models. The method is based on a large-deviations approximation to the normalizing constant shown to be consistent u...
On the Regular Variation of Ratios of Jointly Frechet Random Variables
Regular variation multivariate Frechet distribution spectral
2011/3/18
We provide a necessary and sufficient condition for the ratio of two jointly alpha-Frechet random variables to be regularly varying. This condition is based on the spectral representation of the joint...
Refined estimates for some basic random walks on the symmetric and alternating groups
Convergence of Markovchains randomwalks cutoff phenomenon
2009/6/12
Refined estimates for some basic random walks on the symmetric and alternating groups.
Asymptotic behavior of random determinants in the Laguerre, Gram and Jacobi ensembles
Random matrices Wishart ensemble Laguerre ensemble Jacobi ensemble Gram ensemble Hadamard ratio determinant invariance principle large deviations
2009/6/12
Asymptotic behavior of random determinants in the Laguerre, Gram and Jacobi ensembles.
On the Zero-One Law and the Law of Large Numbers for Random Walk in Mixing Random Environment
Zero-One Law Random Walk Mixing Random Environment
2009/4/7
We prove a weak version of the law of large numbers for multi-dimensional finite range random walks in certain mixing elliptic random environments. This already improves previously existing results, w...
The expected number of zeros of a random system of p-adic polynomials
random system p-adic polynomials natural models
2009/4/3
We study the simultaneous zeros of a random family of d polynomials in d variables over the p-adic numbers.For a family of natural models, we obtain an explicit constant for the expected number of zer...
On the strong law of large numbers for d-dimensional arrays of random variables
large numbers d-dimensional arrays random variables
2009/3/31
In this paper, we provide a necessary and sufficient condition for general d-dimensional arrays of random variables to satisfy strong law of large numbers. Then, we apply the result to obtain some str...
A probabilistic proof of a weak limit law for the number of cuts needed to isolate the root of a random recursive tree
weak limit law random recursive tree random walk
2009/3/23
We present a short probabilistic proof of a weak convergence result for the number of cuts needed to isolate the root of a random recursive tree. The proof is based on a coupling related to a certain ...