47 citations · 82 across the 19 of their papers we have counts for
25 papers
Exploring the Structure of Anisotropic Random Fields on the Sphere
Claudio Durastanti, Shahid Khan, Andriy Olenko
This paper addresses fundamental questions about the existence and structure of isotropic and anisotropic spherical random fields and the properties of composite transformations of…
Aliasing Effects for Samples of Spin Random Fields on the Sphere
Claudio Durastanti
This paper investigates aliasing effects emerging from the reconstruction from discrete samples of spin spherical random fields defined on the two-dimensional sphere. We determine…
Learning models for classifying Raman spectra of genomic DNA from tumor subtypes
Giacomo Lancia, Claudio Durastanti, Cristian Spitoni +7
An early detection of different tumor subtypes is crucial for an effective guidance to personalized therapy. While much efforts focus on decoding the sequence of DNA basis to detec…
Statistical classification for Raman spectra of tumoral genomic DNA
Claudio Durastanti, Emilio N. M. Cirillo, Ilaria De Benedictis +5
We exploit Surface-Enhanced Raman Scattering (SERS) to investigate aqueous droplets of genomic DNA deposited onto silver-coated silicon nanowires and we show that it is possible to…
Spherical Poisson Waves
Solesne Bourguin, Claudio Durastanti, Domenico Marinucci +1
We introduce a model of Poisson random waves in and we study Quantitative Central Limit Theorems when both the rate of the Poisson process and the energy (i.e., fr…
Flexible-bandwidth Needlets
Claudio Durastanti, Domenico Marinucci, Anna Paola Todino
We investigate here a generalized construction of spherical wavelets/needlets which admits extra-flexibility in the harmonic domain, i.e., it allows the corresponding support in mu…
Parametric estimation for functional autoregressive processes on the sphere
Alessia Caponera, Claudio Durastanti
The aim of this paper is to define a nonlinear least squares estimator for the spectral parameters of a spherical autoregressive process of order 1 in a parametric setting. Further…
Nonparametric needlet estimation for partial derivatives of a probability density function on the -torus
Claudio Durastanti, Nicola Turchi
This paper is concerned with the estimation of the partial derivatives of a probability density function of directional data on the -dimensional torus within the local threshold…
LASSO estimation for spherical autoregressive processes
Alessia Caponera, Claudio Durastanti, Anna Vidotto
The purpose of the present paper is to investigate on a class of spherical functional autoregressive processes in order to introduce and study LASSO (Least Absolute Shrinkage and S…
Aliasing effects for random fields over spheres of arbitrary dimension
Claudio Durastanti, Tim Patschkowski
In this paper, aliasing effects are investigated for random fields defined on the d-dimensional sphere and reconstructed from discrete samples. First, we introduce the concept of a…
On high-frequency limits of -statistics in Besov spaces over compact manifolds
Solesne Bourguin, Claudio Durastanti
In this paper, quantitative bounds in high-frequency central limit theorems are derived for Poisson based -statistics of arbitrary degree built by means of wavelet coefficients…
On normal approximations for the two-sample problem on multidimensional tori
Solesne Bourguin, Claudio Durastanti
In this paper, quantitative central limit theorems for -statistics on the -dimensional torus defined in the framework of the two-sample problem for Poisson processes are deri…
Adaptive global thresholding on the sphere
Claudio Durastanti
This work is concerned with the study of the adaptivity properties of nonparametric regression estimators over the -dimensional sphere within the global thresholding framework.…
Localisation of directional scale-discretised wavelets on the sphere
Jason D. McEwen, Claudio Durastanti, Yves Wiaux
Scale-discretised wavelets yield a directional wavelet framework on the sphere where a signal can be probed not only in scale and position but also in orientation. Furthermore, a s…
Quantitative central limit theorems for Mexican needlet coefficients on circular Poisson fields
Claudio Durastanti
The aim of this paper is to establish rates of convergence to Gaussianity for wavelet coefficients on circular Poisson random fields. This result is established by using the Stein-…
Adaptive Density Estimation on the Circle by Nearly-Tight Frames
Claudio Durastanti
This work is concerned with the study of asymptotic properties of nonparametric density estimates in the framework of circular data. The estimation procedure here applied is based…
A Simple Proposal for Radial 3D Needlets
Claudio Durastanti, Yabebal T. Fantaye, Frode K. Hansen +2
We present here a simple construction of a wavelet system for the three-dimensional ball, which we label \emph{Radial 3D Needlets}. The construction envisages a data collection env…
Gaussian approximations of nonlinear statistics on the sphere
Solesne Bourguin, Claudio Durastanti, Domenico Marinucci +1
We show how it is possible to assess the rate of convergence in the Gaussian approximation of triangular arrays of -statistics, built from wavelets coefficients evaluated on a h…
Tail Behaviour of Mexican Needlets
Claudio Durastanti
In this paper we study the tail behaviour of Mexican needlets, a class of spherical wavelets introduced by Geller and Mayeli (2009). More specifically, we provide an explicit upper…
Block Thresholding on the Sphere
Claudio Durastanti
The aim of this paper is to study the nonparametric regression estimators on the sphere built by the needlet block thresholding. The block thresholding procedure proposed here foll…
High-Frequency Tail Index Estimation by Nearly Tight Frames
Claudio Durastanti, Xiaohong Lan
This work develops the asymptotic properties (weak consistency and Gaussianity), in the high-frequency limit, of approximate maximum likelihood estimators for the spectral paramete…
Normal Approximations for Wavelet Coefficients on Spherical Poisson Fields
Claudio Durastanti, Domenico Marinucci, Giovanni Peccati
We compute explicit upper bounds on the distance between the law of a multivariate Gaussian distribution and the joint law of wavelets/needlets coefficients based on a homogeneous…
Needlet-Whittle Estimates on the Unit Sphere
Claudio Durastanti, Xiaohong Lan, Domenico Marinucci
We study the asymptotic behaviour of needlets-based approximate maximum likelihood estimators for the spectral parameters of Gaussian and isotropic spherical random fields. We prov…
Gaussian semiparametric estimates on the unit sphere
Claudio Durastanti, Xiaohong Lan, Domenico Marinucci
We study the weak convergence (in the high-frequency limit) of the parameter estimators of power spectrum coefficients associated with Gaussian, spherical and isotropic random fiel…