A new frame based de-noising procedure for fast oscillating signals

In recent years there has been a growing interest in frame based de-noising procedures. The advantage of frames with respect to classical orthonor- mal bases (e.g. wavelet, Fourier, polynomial) is that they can furnish an efficient representation of a more broad class of signals. For example, signals which have fast oscillating behavior as sonar, radar, EEG, stock market, audio and speech are much more well represented by a frame (with similar oscillating characteristic) than by a classical wavelet basis, although the frame representation for such kind of signals can be not properly sparse.

Large time behavior of signed fractional porous media equations on bounded domains

Following the methodology of Brasco (Adv Math 394:108029, 2022), we study the long-time behavior for the signed fractional porous medium equation in open bounded sets with smooth boundary. Homogeneous exterior Dirichlet boundary conditions are considered. We prove that if the initial datum has sufficiently small energy, then the solution, once suitably rescaled, converges to a nontrivial constant sign solution of a sublinear fractional Lane-Emden equation.

jewel: a novel method for joint node-wise estimation of multiple Gaussian graphical models

Graphical models are well-known mathematical objects for describing conditional dependency relationships between random variables of a complex system. Gaussian graphical models refer to the case of multivariate Gaussian variable for which the graphical model is encoded through the support of corresponding inverse covariance (precision) matrix. We consider a problem of estimating multiple Gaussian graphical models from high- dimensional data sets under the assumption that they share the same conditional independence structure. However, the individual correlation matrices can differ.

Relaxation approximation and asymptotic stability of stratified solutions to the IPM equation

We prove the nonlinear asymptotic stability of stably stratified solutions to the Incompressible Porous Media equation (IPM) for initial perturbations in ?H1- (R2) ? ?H s(R2) with s > 3 and for any 0 < < 1. Such result improves the existing literature, where the asymptotic stability is proved for initial perturbations belonging at least to H20(R2). More precisely, the aim of the article is threefold. First, we provide a simplified and improved proof of global-in-time well-posedness of the Boussinesq equations with strongly damped vorticity in H1- (R2)?

Bootstrap percolation on the stochastic block model

We analyze the bootstrap percolation process on the stochastic block model (SBM), a natural extension of the Erd?s-Rényi random graph that incorporates the community structure observed in many real systems. In the SBM, nodes are partitioned into two subsets, which represent different communities, and pairs of nodes are independently connected with a probability that depends on the communities they belong to.

Aperto un bando per un assegno di ricerca sui fondi PRIN 2022

PRIN2022 carissimo

Scade il 12 gennaio la selezione per un assegno di ricerca sul programma 2022T7XP29 “Decoding and leveraging the molecular determinants of myogenic fate through integrative genomics and cell engineering”, finanziato dal PRIN 2022.

La tematica riguarda lo sviluppo di metodi statistici per l’analisi e l’integrazione di dati omici”, sotto la responsabilità scientifica della dott.ssa Annamaria Carissimo. 

Requisiti sono:

Genomica
analisi statistica

Sulla CNR Web TV il video della giornata "Ma a che serve la matematica?"

cnrwebtv

Pubblicato sulla CNR Web TV il servizio sulla giornata del 24 ottobre "Ma a che serve la matematica?" svoltasi a Roma, al Salone Margherita, in collaborazione con il Museo della moneta di Banca d'Italia.

Sul palco, ricercatori dell'IAC e di Banca d'Italia, hanno raccontato agli studenti delle scuole superiori le varie applicazioni della matematica nella vita quotidiana. 

Un'occasione per festeggiare i 100 anni del CNR.

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Giornata IAC 2023

giornata iac 2023

Si svolge a Napoli, all'AdR Napoli1 di Via Castellino 111, la giornata annuale dell'IAC.

Come ogni anno, l'evento permette la condivisione dei principali risultati delle varie Attività di Ricerca dell'istituto tra i ricercatori che operano nelle diverse sedi dell'IAC.

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