Zobrazeno 1 - 10
of 281
pro vyhledávání: '"Marinucci, Domenico"'
Autor:
Marinucci, Domenico, Stecconi, Michele
We give here a semi-analytic formula for the density of critical values for chi random fields on a general manifold. The result uses Kac-Rice argument and a convenient representation for the Hessian matrix of chi fields, which makes the computation o
Externí odkaz:
http://arxiv.org/abs/2409.20129
It is well-known that randomly initialized, push-forward, fully-connected neural networks weakly converge to isotropic Gaussian processes, in the limit where the width of all layers goes to infinity. In this paper, we propose to use the angular power
Externí odkaz:
http://arxiv.org/abs/2405.09541
The geometry of Arithmetic Random Waves has been extensively investigated in the last fifteen years, starting from the seminal papers [RW08, ORW08]. In this paper we study the correlation structure among different functionals such as nodal length, bo
Externí odkaz:
http://arxiv.org/abs/2312.13166
We investigate the nodal volume of random hyperspherical harmonics $\lbrace T_{\ell;d}\rbrace_{\ell\in \mathbb N}$ on the $d$-dimensional unit sphere ($d\ge 2$). We exploit an orthogonal expansion in terms of Laguerre polynomials; this representation
Externí odkaz:
http://arxiv.org/abs/2312.09962
In this note we prove that a finite family $\{X_1,\dots,X_d\}$ of real r.v.'s that is exchangeable and such that $(X_1,\dots,X_d)$ is invariant with respect to a subgroup of $SO(d)$ acting irreducibly, is actually invariant with respect to the action
Externí odkaz:
http://arxiv.org/abs/2310.19611
We study the distribution of a fully connected neural network with random Gaussian weights and biases in which the hidden layer widths are proportional to a large constant $n$. Under mild assumptions on the non-linearity, we obtain quantitative bound
Externí odkaz:
http://arxiv.org/abs/2307.06092
We prove a Quantitative Functional Central Limit Theorem for one-hidden-layer neural networks with generic activation function. The rates of convergence that we establish depend heavily on the smoothness of the activation function, and they range fro
Externí odkaz:
http://arxiv.org/abs/2306.16932
This paper investigates the asymptotic behavior of structural break tests in the harmonic domain for time dependent spherical random fields. In particular, we prove a functional central limit theorem result for the fluctuations over time of the sampl
Externí odkaz:
http://arxiv.org/abs/2305.01392
This survey is devoted to recent developments in the statistical analysis of spherical data, with a view to applications in Cosmology. We will start from a brief discussion of Cosmological questions and motivations, arguing that most Cosmological obs
Externí odkaz:
http://arxiv.org/abs/2303.15278
Autor:
Duque, Javier Carrón, Carones, Alessandro, Marinucci, Domenico, Migliaccio, Marina, Vittorio, Nicola
The study of the angular power spectrum of Cosmic Microwave Background (CMB) anisotropies, both in intensity and in polarisation, has led to the tightest constraints on cosmological parameters. However, this statistical quantity is not sensitive to a
Externí odkaz:
http://arxiv.org/abs/2301.13191