Extremes for Solutions to Stochastic Difference Equations with Regularly Varying Tails
Revstat Statistical Journal, 2007 The main purpose of this paper is to look at the extremal properties of Xk = X∞ j=1 j Y−1 s=1 Ak−s ! Bk−j , k ∈ Z , where (Ak, Bk)k∈Z is a periodic sequence of independent R 2 +-valued random pairs.
Manuel G. Scotto
doaj +1 more source
Introduction to the Theory of Gibbs Point Processes [PDF]
Stochastic Geometry, 2017 The Gibbs point processes (GPP) constitute a large class of point processes with interaction between the points. The interaction can be attractive, repulsive, depending on geometrical features whereas the null interaction is associated with the so-called
D. Dereudre
semanticscholar +1 more source
Determinantal Point Processes for Image Processing [PDF]
SIAM Journal on Imaging Sciences, 2021 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Launay, Claire +2 more
openaire +2 more sources
CAPACITY DISTRIBUTIONS IN SPATIAL STOCHASTIC MODELS FOR TELECOMMUNICATION NETWORKS
Image Analysis and Stereology, 2011 We consider the stochastic subscriber line model as a spatial stochastic model for telecommunication networks and we are interested in the evaluation of the required capacities at different locations of the network in order to provide, in fine, an ...
Florian Voss +2 more
doaj +1 more source
A Review of Self-Exciting Spatio-Temporal Point Processes and Their Applications [PDF]
Statistical Science, 2017 Self-exciting spatio-temporal point process models predict the rate of events as a function of space, time, and the previous history of events. These models naturally capture triggering and clustering behavior, and have been widely used in fields where ...
Alex Reinhart
semanticscholar +1 more source
Active Mini-Batch Sampling using Repulsive Point Processes [PDF]
AAAI Conference on Artificial Intelligence, 2018 The convergence speed of stochastic gradient descent (SGD) can be improved by actively selecting mini-batches. We explore sampling schemes where similar data points are less likely to be selected in the same mini-batch.
Cheng Zhang +3 more
semanticscholar +1 more source
Average Characteristic Polynomials of Determinantal Point Processes [PDF]
, 2015 We investigate the average characteristic polynomial $\mathbb E\big[\prod_{i=1}^N(z-x_i)\big] $ where the $x_i$'s are real random variables which form a determinantal point process associated to a bounded projection operator.
Hardy, Adrien
core +2 more sources
Hybrid marked point processes: characterisation, existence and uniqueness [PDF]
, 2018 We introduce a class of hybrid marked point processes, which encompasses and extends continuous-time Markov chains and Hawkes processes. While this flexible class amalgamates such existing processes, it also contains novel processes with complex dynamics.
Morariu-Patrichi, Maxime +1 more
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Determinantal point processes with J-Hermitian correlation kernels [PDF]
, 2012 Let X be a locally compact Polish space and let m be a reference Radon measure on X. Let $\Gamma_X$ denote the configuration space over X, that is, the space of all locally finite subsets of X. A point process on X is a probability measure on $\Gamma_X$.
Lytvynov, Eugene
core +1 more source
Practical Diversified Recommendations on YouTube with Determinantal Point Processes
International Conference on Information and Knowledge Management, 2018 Many recommendation systems produce result sets with large numbers of highly similar items. Diversifying these results is often accomplished with heuristics, which are impoverished models of users' desire for diversity.
M. Wilhelm +5 more
semanticscholar +1 more source