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[PDF] Top 20 Asymptotic approximation of the likelihood of stationary determinantal point processes

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Asymptotic approximation of the likelihood of stationary determinantal point processes

Asymptotic approximation of the likelihood of stationary determinantal point processes

... Continuous determinantal point processes (DPPs) are a class of repulsive point pro- cesses on R d with many statistical ...expression of their density is known, this expression ... Voir le document complet

33

On two ways to use determinantal point processes for Monte Carlo integration -- Long version

On two ways to use determinantal point processes for Monte Carlo integration -- Long version

... both the N eigenfunctions of the corresponding kernel and the integrand at the N points of the DPP ...estimates of the Fourier-like coefficients of ... Voir le document complet

25

Quantifying repulsiveness of determinantal point processes

Quantifying repulsiveness of determinantal point processes

... is the maximal hardcore radius that a type II Mat´ern hardcore process with unit intensity can reach, see [19, Section ...in the sense of Definition ...if stationary DPPs cannot be as ... Voir le document complet

31

Standard and robust intensity parameter estimation for stationary determinantal point processes

Standard and robust intensity parameter estimation for stationary determinantal point processes

... investigate the theoretical and practical properties of two different estimators of λ for the class of stationary determinantal point ...processes. ... Voir le document complet

22

On a few statistical applications of determinantal point processes

On a few statistical applications of determinantal point processes

... quarter of the side length of the observation window. The theoretical justifications of this two step procedure to estimate β and θ can be found in [ 5 ], in the ... Voir le document complet

24

Brillinger mixing of determinantal point processes and statistical applications

Brillinger mixing of determinantal point processes and statistical applications

... applications of the Brillinger mixing property of ...in the setting of stationary DPPs. Namely, we prove the asymptotic normality of a wide class of ... Voir le document complet

25

Adaptive estimating function inference for non-stationary determinantal point processes

Adaptive estimating function inference for non-stationary determinantal point processes

... The performance of second order estimating functions depends strongly on a tuning parameter that controls which pairs of points are used in the ...choice of this tuning parameter is ... Voir le document complet

36

Contribution to the modelling and the parametric estimation of determinantal point processes

Contribution to the modelling and the parametric estimation of determinantal point processes

... to the study of determinantal point processes (DPPs) and their parametric ...These processes are known to be well adapted to inhibitive point patterns, where the ... Voir le document complet

119

DPPy: Sampling Determinantal Point Processes with Python

DPPy: Sampling Determinantal Point Processes with Python

... kernel approximation ( Affandi et ...terms of software, the R library spatstat ( Baddeley & Turner , 2005 ), a general-purpose toolbox on spatial point processes, includes sampling ... Voir le document complet

7

Takacs-Fiksel method for stationary marked Gibbs point processes

Takacs-Fiksel method for stationary marked Gibbs point processes

... understand the theoretical properties of this procedure. This problem is the main objective of the present ...prove the consistency and the asymptotic nor- mality ... Voir le document complet

27

Approximation intensity for pairwise interaction Gibbs point processes using determinantal point processes

Approximation intensity for pairwise interaction Gibbs point processes using determinantal point processes

... Poisson point process on S, which means that its intensity is constant and equal to ...spatial point process X has a density f if the distribution of X is absolutely continuous with respect to ... Voir le document complet

19

Contrast estimation for parametric stationary determinantal point processes

Contrast estimation for parametric stationary determinantal point processes

... parametric stationary determinan- tal point processes. These processes form a useful class of models for repulsive (or regular, or inhibitive) point patterns and are already ... Voir le document complet

30

Non-asymptotic convergence bounds for Wasserstein approximation using point clouds

Non-asymptotic convergence bounds for Wasserstein approximation using point clouds

... on the construction of a uniform probability distribution over a set of N points which minimizes the Wasserstein distance to the model ...where the unknowns are the ... Voir le document complet

18

Residuals and goodness-of-fit tests for stationary marked Gibbs point processes

Residuals and goodness-of-fit tests for stationary marked Gibbs point processes

... Abstract The inspection of residuals is a fundamental step to investigate the quality of adjustment of a parametric model to ...spatial point processes, the concept ... Voir le document complet

41

Graph sampling with determinantal processes

Graph sampling with determinantal processes

... If the first k eigenvectors of the Laplacian are computable, we exhibit a DPP that always samples sets of size k perfectly embedding k-bandlimited graph ...in the case the graph ... Voir le document complet

6

Zeros of smooth stationary Gaussian processes

Zeros of smooth stationary Gaussian processes

... around the mean at exponential speed in R. Their proof relies on the existence of an analytic extension of f to horizontal strips in the complex ...that the Bargmann–Fock process ... Voir le document complet

74

Stochastic dynamics of determinantal processes by integration by parts

Stochastic dynamics of determinantal processes by integration by parts

... to determinantal pro- cesses on D ⊂ S In this section we construct the Dirichlet form associated to a determinantal process, ...Dom(A) of H, the domain of A. The form A is ... Voir le document complet

35

Asymptotic localization of stationary states in the nonlinear Schrödinger equation

Asymptotic localization of stationary states in the nonlinear Schrödinger equation

... consider the problem of the one-dimensional Anderson localization [1, 2] for the nonlinear Schr¨odinger equation (NLSE) [3, 4, ...spite of the extensive research, many ... Voir le document complet

11

Necessary and sufficient conditions for the existence of $\alpha$-determinantal processes

Necessary and sufficient conditions for the existence of $\alpha$-determinantal processes

... In the special case when the configurations are on a finite space, the paper of Vere-Jones [ 12 ] provides necessary and sufficient conditions for any value of ...for the ... Voir le document complet

21

On the asymptotic decorrelation of the wavelet packet coefficients of a wide-sense stationary random process

On the asymptotic decorrelation of the wavelet packet coefficients of a wide-sense stationary random process

... is stationary in the wide-sense. The discrete orthonormal wavelet and the wavelet packet decompositions of this process yield coefficients that are random ...studied the ... Voir le document complet

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