2 citations · 4 across the 18 of their papers we have counts for
5 papers · 1 filter
A SAT Encoding to Compute Aperiodic Tiling Rhythmic Canons
Gennaro Auricchio, Luca Ferrarini, Stefano Gualandi +2
In Mathematical Music theory, the Aperiodic Tiling Complements Problem consists in finding all the possible aperiodic complements of a given rhythm . The complexity of this prob…
An Integer Linear Programming Model for Tilings
Gennaro Auricchio, Luca Ferrarini, Greta Lanzarotto
In this paper, we propose an Integer Linear Model whose solutions are the aperiodic rhythms tiling with a given rhythm A. We show how this model can be used to efficiently check th…
On the Pythagorean Structure of the Optimal Transport for Separable Cost Functions
Gennaro Auricchio
In this paper, we study the optimal transport problem induced by separable cost functions. In this framework, transportation can be expressed as the composition of two lower-dimens…
On the Structure of Optimal Transportation Plans between Discrete Measures
Gennaro Auricchio, Marco Veneroni
In this paper, we prove a structure theorem for discrete optimal transportation plans. We show that, given any pair of discrete probability measures and a cost function, there exis…
The Fourier Discrepancy Function
Auricchio Gennaro, Codegoni Andrea, Gualandi Stefano +1
In this paper, we propose the Fourier Discrepancy Function, a new discrepancy to compare discrete probability measures. We show that this discrepancy takes into account the geometr…