924 citations · 2.2k across the 37 of their papers we have counts for
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The generalized porous medium equation on graphs: existence and uniqueness of solutions with data
Davide Bianchi, Alberto G. Setti, Radoslaw K. Wojciechowski
We study solutions of the generalized porous medium equation on infinite graphs. For nonnegative or nonpositive integrable data, we prove the existence and uniqueness of mild solut…
Asymptotic spectra of large (grid) graphs with a uniform local structure (part II): numerical applications
Andrea Adriani, Davide Bianchi, Paola Ferrari +1
In the current work we are concerned with sequences of graphs having a grid geometry, with a uniform local structure in a bounded domain , . When $Ω…
Graph approximation and generalized Tikhonov regularization for signal deblurring
Davide Bianchi, Marco Donatelli
Given a compact linear operator $\K$, the (pseudo) inverse $\K^\dagger$ is usually substituted by a family of regularizing operators which depends on $\K$ itself. Naturally,…
Graph Laplacian for image deblurring
Davide Bianchi, Alessandro Buccini, Marco Donatelli +1
Image deblurring is relevant in many fields of science and engineering. To solve this problem, many different approaches have been proposed and among the various methods, variation…
Compatibility, embedding and regularization of non-local random walks on graphs
Davide Bianchi, Marco Donatelli, Fabio Durastante +1
Several variants of the graph Laplacian have been introduced to model non-local diffusion processes, which allow a random walker to {\textquotedblleft jump\textquotedblright} to no…