2 citations · 2 across the 2 of their papers we have counts for
5 papers
Understanding neural networks with reproducing kernel Banach spaces
Francesca Bartolucci, Ernesto De Vito, Lorenzo Rosasco +1
Characterizing the function spaces corresponding to neural networks can provide a way to understand their properties. In this paper we discuss how the theory of reproducing kernel…
Multiscale regression on unknown manifolds
Wenjing Liao, Mauro Maggioni, Stefano Vigogna
We consider the regression problem of estimating functions on but supported on a -dimensional manifold with . Draw…
Construction and Monte Carlo estimation of wavelet frames generated by a reproducing kernel
Ernesto De Vito, Zeljko Kereta, Valeriya Naumova +2
We introduce a construction of multiscale tight frames on general domains. The frame elements are obtained by spectral filtering of the integral operator associated with a reproduc…
Estimating multi-index models with response-conditional least squares
Timo Klock, Alessandro Lanteri, Stefano Vigogna
The multi-index model is a simple yet powerful high-dimensional regression model which circumvents the curse of dimensionality assuming for s…
Monte Carlo wavelets: a randomized approach to frame discretization
Zeljko Kereta, Stefano Vigogna, Valeriya Naumova +2
In this paper we propose and study a family of continuous wavelets on general domains, and a corresponding stochastic discretization that we call Monte Carlo wavelets. First, using…