5 papers
Samplet limits and multiwavelets
Gianluca Giacchi, Michael Multerer, Jacopo Quizi
Samplets are data adapted multiresolution analyses of localized discrete signed measures. They can be constructed on scattered data sites in arbitrary dimension such that they exhi…
ERIS: Enhancing Privacy and Scalability in Federated Learning via Federated Shard Aggregation
Dario Fenoglio, Pasquale Polverino, Jacopo Quizi +3
Scaling Federated Learning (FL) to billion-parameter models forces a challenging trade-off between privacy, scalability, and model utility. Existing solutions often tackle these ch…
Bespoke multiresolution analysis of graph signals
Giacomo Elefante, Gianluca Giacchi, Michael Multerer +1
We present a novel framework for discrete multiresolution analysis of graph signals. The main analytical tool is the samplet transform, originally defined in the Euclidean framewor…
Observation-specific explanations through scattered data approximation
Valentina Ghidini, Michael Multerer, Jacopo Quizi +1
This work introduces the definition of observation-specific explanations to assign a score to each data point proportional to its importance in the definition of the prediction pro…
The dimension weighted fast multipole method for scattered data approximation
Helmut Harbrecht, Michael Multerer, Jacopo Quizi
The present article is concerned scattered data approximation for higher dimensional data sets which exhibit an anisotropic behavior in the different dimensions. Tailoring sparse p…