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Published in 2017 at "Stochastic Environmental Research and Risk Assessment"
DOI: 10.1007/s00477-017-1402-3
Abstract: This paper presents an algorithm for simulating Gaussian random fields with zero mean and non-stationary covariance functions. The simulated field is obtained as a weighted sum of cosine waves with random frequencies and random phases,…
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Keywords:
random fields;
stationary gaussian;
algorithm simulating;
non stationary ... See more keywords
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Published in 2019 at "Journal of Mathematical Sciences"
DOI: 10.1007/s10958-019-4145-5
Abstract: We present exact formulas for the averages of various discrete energies of certain point processes in the plane and two-dimensional sphere. Specifically, we consider point processes defined by the spectra of gaussian random matrices and…
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Keywords:
random matrices;
average discrete;
discrete energies;
spectra gaussian ... See more keywords
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Published in 2018 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2017.08.040
Abstract: This contribution is concerned with Gumbel limiting results for supremum M-n = sup(t epsilon[0,Tn])X(n)(t)vertical bar with X (n) ,n epsilon N-2 centered Gaussian random fields with continuous traj ...
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Keywords:
random fields;
gaussian random;
maximum gaussian;
approximation maximum ... See more keywords
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Published in 2020 at "Stochastic Processes and their Applications"
DOI: 10.1016/j.spa.2020.02.003
Abstract: Abstract Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev regularity and Holder continuity are explored through spectral representations. It is shown how spectral properties of the covariance function associated to…
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Keywords:
random fields;
point homogeneous;
homogeneous spaces;
compact two ... See more keywords
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Published in 2021 at "Astronomy and Astrophysics"
DOI: 10.1051/0004-6361/202039451
Abstract: We introduce a novel approach to reconstruct dark matter mass maps from weak gravitational lensing measurements. The cornerstone of the proposed method lies in a new modelling of the matter density field in the Universe…
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Keywords:
reconstruction;
random field;
field;
mass ... See more keywords
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Published in 2018 at "ASCE-ASME Journal of Risk and Uncertainty in Engineering Systems, Part A: Civil Engineering"
DOI: 10.1061/ajrua6.0000970
Abstract: AbstractIn the context of sampling, monitoring, and sensing in infrastructures, there is an interest in algorithms to produce an observation plan that is cost effective, while maximizing the benefi...
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Keywords:
placement gaussian;
random field;
optimal sampling;
gaussian random ... See more keywords
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Published in 2018 at "Statistics"
DOI: 10.1080/02331888.2018.1435659
Abstract: ABSTRACT A Gaussian random function is a functional version of the normal distribution. This paper proposes a statistical hypothesis test to test whether or not a random function is a Gaussian random function. A parameter…
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Keywords:
random function;
gaussian random;
random;
test ... See more keywords
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Published in 2022 at "Physical review. E"
DOI: 10.1103/physreve.105.045305
Abstract: Disordered hyperuniform systems are statistically isotropic and possess no Bragg peaks like liquids and glasses, yet they suppress large-scale density fluctuations in a similar manner as in perfect crystals. The unique hyperuniform long-range order in…
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Keywords:
biphase materials;
effectively hyperuniform;
non gaussian;
reconstruction ... See more keywords
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Published in 2022 at "IEEE Signal Processing Letters"
DOI: 10.1109/lsp.2022.3233003
Abstract: This paper deals with the problem of Bayesian deconvolution. Starting from the classical Gaussian Markov Random Fields (GMRF) prior, we present a broader model referred as transformed GMRF (TGRF) in which the latent field results…
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Keywords:
random fields;
deconvolution;
gaussian random;
image ... See more keywords
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Published in 2022 at "IEEE Transactions on Information Theory"
DOI: 10.1109/tit.2021.3122808
Abstract: In this paper, we study an information-theoretic secret sharing problem, where a dealer distributes shares of a secret among a set of participants under the following constraints: (i) authorized sets of users can recover the…
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Keywords:
information;
secret sharing;
information theoretic;
theoretic secret ... See more keywords
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Published in 2018 at "IEEE Transactions on Signal Processing"
DOI: 10.1109/tsp.2017.2778685
Abstract: Dimension reduction plays an essential role when decreasing the complexity of solving large-scale problems. The well-known Johnson–Lindenstrauss (JL) lemma and restricted isometry property (RIP) admit the use of random projection to reduce the dimension while…
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Keywords:
restricted isometry;
random projection;
isometry property;
gaussian random ... See more keywords