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08/16/2023
Expected Euler characteristic method for the largest eigenvalue: (Skew-)orthogonal polynomial approach
The expected Euler characteristic (EEC) method is an integral-geometric ...
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08/04/2021
The volume-of-tube method for Gaussian random fields with inhomogeneous variance
The tube method or the volume-of-tube method approximates the tail proba...
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11/10/2020
Perturbation of the expected Minkowski functional for weakly non-Gaussian isotropic fields on a bounded domain
The Minkowski functionals (MF) including the Euler characteristic (EC) s...
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03/12/2020
Existence and Uniqueness of the Kronecker Covariance MLE
In matrix-valued datasets the sampled matrices often exhibit correlation...
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01/01/2020
Statistical Invariance of Betti Numbers in the Thermodynamic Regime
Topological Data Analysis (TDA) has become a promising tool to uncover l...
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03/25/2019
Computation of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Non-central Wishart Matrix
We give an approximate formula for the distribution of the largest eigen...
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03/25/2019
Computations of the Expected Euler Characteristic for the Largest Eigenvalue of a Real Wishart Matrix
We give an approximate formula of the distribution of the largest eigenv...
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02/13/2019