Top PDF On ANOVA decompositions of kernels and Gaussian random field paths
On ANOVA decompositions of kernels and Gaussian random field paths
... response of interest. FANOVA (Functional ANalysis Of VAriance) [12, 30, 9, 2] has become commonplace for decomposing a real-valued function f of d-variables into a sum of 2 d functions ...
16
On ANOVA Decompositions of Kernels and Gaussian Random Field Paths
... response of interest. FANOVA (Functional ANalysis Of VAriance) [12, 30, 9, 2] has become commonplace for decomposing a real-valued function f of d-variables into a sum of 2 d functions ...
15
Invariances of random fields paths, with applications in Gaussian Process Regression
... remarks and perspectives This article focuses on the control of pathwise invariances of square- integrable random field through their covariance ...on paths such as multivariate ...
27
THE RANDOM PSEUDO-METRIC ON A GRAPH DEFINED VIA THE ZERO-SET OF THE GAUSSIAN FREE FIELD ON ITS METRIC GRAPH
... ε of F , of ε ´1 times the law of Brownian motion on the metric graph, started at y and stopped at its first hitting of F ...Brownian paths in the metric graph, that start on F ...
33
On degeneracy and invariances of random fields paths with applications in Gaussian process modelling
... space of some linear operator T , ...diversity of path properties including invariances under group actions or sparse ANOVA decompositions of multivariate paths can be ...
24
Additivity and Ortho-Additivity in Gaussian Random Fields
... projection of product kernels and presents the calculation in the case of a squared exponential (or Gaussian) ...kernel. Of rather practical importance is the procedure to ...
59
Upper functions for $\mathbb{L}_{p}$-norms of Gaussian random fields
... evaluation of upper functions has become an important technical tool in different areas of mathematical statistics in particular in the minimax and adaptive minimax ...constructions of adaptive ...
39
Packing dimension results for anisotropic Gaussian random fields
... scope of the present ...notion of packing dimension profiles has also been developed by Khoshnevisan, Schilling and Xiao (2010) for studying the packing dimension of the range of a ...
22
Two properties of vectors of quadratic forms in Gaussian random variables
... fact of the Malliavin calculus is that finitely many Sobolev functions F 1 , ...a Gaussian µ have a joint density of distribution provided that their Malliavin gradients DH F1 , ...are of ...
15
Representations of Gaussian random fields and approximation of elliptic PDEs with lognormal coefficients *
... case of KL-type expansions, which are studied in §3, the functions ψ j that we obtain are simply the restrictions to D of trigonometric ...term of numerical simplicity compared to the L 2 ...
25
Conformal loop ensembles and the Gaussian free field
... By conformal invariance, we can define the level line of the GFF in any simply connected domain starting from a boundary point and targeted at another boundary point.. This pro[r] ...
178
Random oscillator with general Gaussian noise
... expression of C and of the prefactors in Pstat can not be obtained by the method used here (a recursive adiabatic averaging similar to the one used for white and Ornstein-Uhlenbeck noise would ...
7
Comparison and anti-concentration bounds for maxima of Gaussian random vectors
... derivation of bounds on the Kolmogorov distance is by no means trivial and relies on a new anti-concentration inequality for maxima of Gaussian random vectors, which is another main ...
23
Harmonic functions on multiplicative graphs and inverse Pitman transform on infinite random paths
... study of the asymptotic representation theory of the symmetric ...Kerov and Vershik that these harmonic functions completely determine the asymptotic characters of the symmetric ...set ...
28
A contour line of the continuum Gaussian free field
... sequence of successively closer continuous and piecewise linear approxima- tions to h, each of which has the law of a discrete Gaussian free ...distribution, and not as a ...
45
Forest fire detection based on Gaussian field analysis
... realization of a homogeneous Gaus- sian ...a Gaussian field by considering its F d distributions as ...distribution of the image must, by ap- proximation, be Gaussian ...
6
Random sound field in reverberation chambers
... Random sound field in reverberation chambers Balachandran, C. G. https://publications-cnrc.canada.ca/fra/droits L’accès à ce site Web et l’utilisation de son contenu sont assujettis aux conditions ...
6
Efficient ANOVA for directional data
... the ANOVA problem for directional data (with particular emphasis on geological data) by having recourse to the Le Cam methodology usually reserved for linear multivariate ...locally and asymptotically most ...
19
Markov Random Field for combined defogging and stereo reconstruction
... Visual effect of fog • Color Fades • Airlight added • Contrast and visibility decrease with distance Visibility distance : 250m ⇒ Difficulties for object detection/recognition/identifica[r] ...
63
Random phase fields and Gaussian fields for image sharpness assessment and fast texture synthesis
... separately), and must have low memory storage (because of constraints involved in GPU ...on random phase ...algorithm of [ Lefebvre & Hoppe 2005 ] which is parallel but not procedural, ...
258