37 citations · 70 across the 17 of their papers we have counts for
19 papers
Symmetry, Scaling, and Optimal Time-Frequency Concentration: Minimising the Heisenberg Uncertainty in Piecewise-Polynomial and Wavelet Dictionaries
Lorenzo de Leonardis, Alessandro Mazzoccoli, Pierluigi Vellucci
In this work, we introduce a hierarchy of function classes defined on a fixed compact interval, along with tailored uncertainty operators. We establish key properties of the associ…
Applications of Lax-Milgram theorem to problems in frame theory
Laura De Carli, Pierluigi Vellucci
We apply Lax-Milgram theorem to characterize scalable and piecewise scalable frame in finite and infinite-dimensional Hilbert spaces. We also introduce a method for approximating t…
Network analysis and Eurozone trade imbalances
Giovanni Carnazza, Pierluigi Vellucci
European Monetary Union continues to be characterised by significant macroeconomic imbalances. Germany has shown increasing current account surpluses at the expense of the other me…
A Solution for the Greedy Approximation of a Step Function with a Waveform Dictionary
Jorge Andres Rivero, Pierluigi Vellucci
In this paper we consider a step function characterized by an arbitrary sequence of real-valued scalars and approximate it with a matching pursuit (MP) algorithm. We utilize a wave…
Contrarian effect in opinion forming: insights from Greta Thunberg phenomenon
Elisa Iacomini, Pierluigi Vellucci
In recent months the figure of Greta Thunberg and the theme of climate changings quickly became the focus of the debate. This has lead to a polarization effect in opinion forming a…
Wavelet analysis and energy-based measures for oil-food price relationship as a footprint of financialisation effect
Loretta Mastroeni, Alessandro Mazzoccoli, Greta Quaresima +1
In this paper we exploit the wavelet analysis approach to investigate oil-food price correlation and its determinants in the domains of time and frequency. Wavelet analysis is able…