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Structural and Functional Discovery in Dynamic Networks with Non-negative Matrix Factorization
Structural Functional Discovery Dynamic Networks Non-negative Matrix Factorization
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2013/6/17
Time series of graphs are increasingly prevalent in modern data and pose unique challenges to visual exploration and pattern extraction. This paper describes the development and application of matrix ...
Recovering Non-negative and Combined Sparse Representations
underdetermined linear system sparse representations non-negative constraints orthogonal matching pursuit unique sparse solution
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2013/5/2
The non-negative solution to an underdetermined linear system can be uniquely recovered sometimes, even without imposing any additional sparsity constraints. In this paper, we derive conditions under ...
Negative Binomial Process Count and Mixture Modeling
Negative Binomial Process Count and Mixture Modeling
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2012/11/22
The seemingly disjoint problems of count and mixture modeling are united under the negative binomial (NB) process. We reveal relationships between the Poisson, multinomial, gamma and Dirichlet distrib...
MahNMF: Manhattan Non-negative Matrix Factorization
Non-negative Matrix Factorization (NMF) Nesterov’s Smoothing Method Sparse and Low-rank Matrix Decomposition
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2012/9/19
Non-negative matrix factorization (NMF) approximates a non-negative matrix Xby a product of two non-negative low-rank factor matricesWandH. NMF and its extensions minimize either the Kullback-Leibler ...
A convex model for non-negative matrix factorization and dimensionality reduction on physical space
Non-negative matrix factorization dictionary learning subset selection dimensionality reduction hyperspec-tral endmember detection blind source separation
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2011/3/18
A collaborative convex framework for factoring a data matrix $X$ into a non-negative product $AS$, with a sparse coefficient matrix $S$, is proposed. We restrict the columns of the dictionary matrix $...
Perturbation of matrices and non-negative rank with a view toward statistical models
Euclidean topology Jacobian matrix mixture models
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2010/10/19
In this paper we study how perturbing a matrix changes its non-negative rank. We show that the non-negative rank is upper-semicontinuos and we describe some special families of perturbations. We apply...
Uniform error bounds for a continuous approximation of non-negative random variables
gamma distribution Laplace transform phase-type distribution
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2010/10/19
In this work, we deal with approximations for distribution functions of non-negative random variables. More specifically, we construct continuous approximants using an acceleration technique over a w...
Non-Negative Integer-Valued Semi-Selfsimilar Processes
Semi-selfsimilar process Levy process Semi-stable law integer-valuedprocess auto-regressive time series
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2010/4/27
Non-negative integer-valued semi-selfsimilar processes are introduced. Levy
processes in this class are characterized. Its relation to an AR(1) scheme is derived.
Random walks with random indices and negative drift conditioned to stay positive
Random walks with random indices negative drift stay positive
<
2009/9/24
Random walks with random indices and negative drift conditioned to stay positive。
Mathematical expectation and Strong Law of Large Numbers for random variables with values in a metric space of negative curvature
Mathematical expectation Strong Law of Large Numbers random variables
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2009/9/23
Let f be a random variable with values in a metric
space (X, d). For some class of metric spaces we define in terms of the
metric d mathematical expectation of f as a closed bounded and
non-empty s...
Estimates for the Poisson kernels on homogeneous manifolds of negative curvature and the boundary Harnack inequality in the noncoercive case
Estimates for the Poisson kernels homogeneous manifolds negative curvature the boundary Harnack inequality
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2009/9/21
Using a probabilistic technique we obtain upper and
lower estimates for the Poisson kernels of the second order diflerential
operators on a homogeneous manifold of negative curvature. Our
results i...
A remark on the Poisson kernels on homogeneous manifolds of negative curvature
Poisson kernels homogeneous manifolds negative curvature
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2009/9/21
In this note we give an improvement of the estimate of
the Poisson kernels for second order differential operators on homogeneous
manifolds of negative curvature obtained for the first time,
using ...
DISTRIBUTIONAL PROPERTIES OF THE NEGATIVE BINOMIAL LÉVY PROCESS
geometric distribution immigration birth process logarithmic distribution: over-dispersion
<
2009/9/18
The geometric distribution leads to a Lévy process parameterized
by the probability of success. The resulting negative binomial process
(NBP) is a purely jump and non-decreasing process with general...
The lower tail problem for homogeneous functionals of stable processes with no negative jumps
lower tail problem homogeneous functionals stable processes negative jumps
<
2009/6/12
The lower tail problem for homogeneous functionals of stable processes with no negative jumps.
Two-sided exit problem for a Spectrally Negative α-Stable Ornstein-Uhlenbeck Process and the Wright's generalized hypergeometric functions
Ornstein-Uhlenbeck Process deduce generalized hypergeometric functions
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2009/3/27
The Laplace transform of the first exit time from a finite interval by a regular spectrally negative α-stable Ornstein-Uhlenbeck process is provided in terms of the Wright's generalized hypergeometric...