5 citations · 9 across the 21 of their papers we have counts for
25 papers
I-SAFE: Wasserstein Coherence Metrics for Structural Auditing of Scientific AI Models
Barbara Tarantino, Gennaro Auricchio, Paolo Giudici
Deep learning models are increasingly used in scientific prediction tasks where strong benchmark performance is often interpreted as evidence of scientifically meaningful behavior.…
On Rank Graduation Metrics for High Dimensional Ordinal Data
Gennaro Auricchio, Adelaide Emma Bernardelli, Paolo Giudici +1
Evaluating the reliability of machine learning classifications remains a fundamental challenge in Artificial Intelligence (AI), particularly when the target variable is multidimens…
Energy distance and evolution problems: a promising tool for kinetic equations
Gennaro Auricchio, Giuseppe Toscani
We study the rate of convergence to equilibrium of the solutions to Fokker-Planck type equations with linear drift by means of Cramér and Energy distances, which have been recently…
On the computation of the infinity Wasserstein distance and the Wasserstein Projection Problem
Gennaro Auricchio, Gabriele Loli, Marco Veneroni
Computing the infinity Wasserstein distance and retrieving projections of a probability measure onto a closed subset of probability measures are critical sub-problems in various ap…
From Kinetic Theory to AI: a Rediscovery of High-Dimensional Divergences and Their Properties
Gennaro Auricchio, Giovanni Brigati, Paolo Giudici +1
Selecting an appropriate divergence measure is a critical aspect of machine learning, as it directly impacts model performance. Among the most widely used, we find the Kullback-Lei…
Designing Optimal Mechanisms to Locate Facilities with Insufficient Capacity for Bayesian Agents
Gennaro Auricchio, Jie Zhang
In this paper, we study the Facility Location Problem with Scarce Resources (FLPSR) under the assumption that agents' type follow a probability distribution. In the FLPSR, the obje…
How to measure multidimensional variation?
Gennaro Auricchio, Paolo Giudici, Giuseppe Toscani
The coefficient of variation, which measures the variability of a distribution from its mean, is not uniquely defined in the multidimensional case, and so is the multidimensional G…
Multivariate Gini-type discrepancies
Gennaro Auricchio, Giovanni Brigati, Paolo Giudici +1
Measuring distances in a multidimensional setting is a challenging problem, which appears in many fields of science and engineering. In this paper, to measure the distance between…
Facility Location Problem with Aleatory Agents
Gennaro Auricchio, Jie Zhang
In this paper, we introduce and study the Facility Location Problem with Aleatory Agents (FLPAA), where the facility accommodates n agents larger than the number of agents reportin…
Extending the Gini Index to Higher Dimensions via Whitening Processes
Gennaro Auricchio, Paolo Giudici, Giuseppe Toscani
Measuring the degree of inequality expressed by a multivariate statistical distribution is a challenging problem, which appears in many fields of science and engineering. In this p…
Mechanism Design for Locating Facilities with Capacities with Insufficient Resources
Gennaro Auricchio, Harry J. Clough, Jie Zhang
This paper explores the Mechanism Design aspects of the -Capacitated Facility Location Problem where the total facility capacity is less than the number of agents. Following the…
The k-Facility Location Problem Via Optimal Transport: A Bayesian Study of the Percentile Mechanisms
Gennaro Auricchio, Jie Zhang
In this paper, we investigate the -Facility Location Problem (-FLP) within the Bayesian Mechanism Design framework, in which agents' preferences are samples of a probability…
Facility Location Problems with Capacity Constraints: Two Facilities and Beyond
Gennaro Auricchio, Zihe Wang, Jie Zhang
In this paper, we investigate the Mechanism Design aspects of the -Capacitated Facility Location Problem (-CFLP) on a line. We focus on two frameworks. In the first framework…
From Optimal Transport to Efficient Mechanisms for the -Capacitated Facilities Location Problem with Bayesian Agent
Gennaro Auricchio, Jie Zhang, Mengxiao Zhang
In this paper, we study of the -Capacitated Facility Location Problem (-CFLP) on the line from a Bayesian Mechanism Design perspective and propose a novel class of mechanisms…
Edge Manipulations for the Maximum Vertex-Weighted Bipartite b-matching
Gennaro Auricchio, Qun Ma, Jie Zhang
In this paper, we explore the Mechanism Design aspects of the Maximum Vertex-weighted -Matching (MVbM) problem on bipartite graphs . The set comprises agents,…
On the Manipulability of Maximum Vertex-Weighted Bipartite -matching Mechanisms
Gennaro Auricchio, Jie Zhang
In this paper, we study the Maximum Vertex-weighted -Matching (MVbM) problem on bipartite graphs in a new game-theoretical environment. In contrast to other game-theoretical set…
A Bilevel Formalism for the Peer-Reviewing Problem
Gennaro Auricchio, Ruixiao Zhang, Jie Zhang +1
Due to the large number of submissions that more and more conferences experience, finding an automatized way to well distribute the submitted papers among reviewers has become nece…
On the Distortion of Multi-winner Election Using Single-Candidate Ballots
Gennaro Auricchio, Zeyu Ren, Zihe Wang +1
In this paper, we study the distortion bounds for voting mechanisms in multi-winner elections in general metric spaces. Our study pertains to the case in which each voter only repo…
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…
The Equivalence of Fourier-based and Wasserstein Metrics on Imaging Problems
Gennaro Auricchio, Andrea Codegoni, Stefano Gualandi +2
We investigate properties of some extensions of a class of Fourier-based probability metrics, originally introduced to study convergence to equilibrium for the solution to the spat…