activity
20172022
most citedProbabilistic values for simplicial complexes

3 citations · 8 across the 3 of their papers we have counts for

collaborators

7 papers

cs.LG20223 cited

Adversarial Robustness in Deep Learning: Attacks on Fragile Neurons

Chandresh Pravin, Ivan Martino, Giuseppe Nicosia +1

We identify fragile and robust neurons of deep learning architectures using nodal dropouts of the first convolutional layer. Using an adversarial targeting algorithm, we correlate…

math.CO2020

Cooperative games on simplicial complexes

Ivan Martino

In this work, we define cooperative games on simplicial complexes, generalizing the study of probabilistic values of Weber and quasi-probabilistic values of Bilbao, Driessen, Jimén…

math.CO20202 cited

Efficiency Axioms for simplicial complexes

Ivan Martino

We study the notion of efficiency for cooperative games on simplicial complexes. In such games, the grand coalition may be forbidden, and, thus, it is a non-trivial problem t…

math.CO20203 cited

Probabilistic values for simplicial complexes

Ivan Martino

In this manuscript, we define and study probabilistic values for cooperative games on simplicial complexes. Inspired by the work of Weber "Probabilistic values for games", we estab…

math.CO2019

Set of independencies and Tutte polynomial of matroids over a domain

Alessio Borzì, Ivan Martino

In this work, we study matroids over a domain and several classical combinatorial and algebraic invariants related. We define their Grothendieck-Tutte polynomial $T_{\mathcal{M}}(x…

math.AG2018

On the codimension of Noether-Lefshetz loci for toric threefolds

Valeriano Lanza, Ivan Martino

In this manuscript we sharpen the lower bound on the codimension of the irreducible components of the Noether-Lefschetz locus of surfaces in projective toric threefolds given in [B…