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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 ...
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       font style='font-size:12px;'> 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...
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 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 $...
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...
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 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
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...
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...
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 ...
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.
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...

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