3 papers
math.AP2026
Fractured membranes under determinant constraints: the case of cohesive surface energies
Nicola Pio Melillo, Dario Reggiani
This paper is devoted to the variational derivation of reduced models for elastic membranes with fracture under constraints on the determinant of the deformation gradient. We consi…
math.GM2025
A Note on the Lalescu Sequence
Carlo Mantegazza, Nicola Pio Melillo
We prove that the Lalescu sequence is monotonically decreasing.
cs.LG2024
Introducing δ-XAI: a novel sensitivity-based method for local AI explanations
Alessandro De Carlo, Enea Parimbelli, Nicola Melillo +1
Explainable Artificial Intelligence (XAI) is central to the debate on integrating Artificial Intelligence (AI) and Machine Learning (ML) algorithms into clinical practice. High-per…