87 citations · 400 across the 25 of their papers we have counts for
26 papers
An exact and fast solution of the inverse Regularized Optimal Transport problem
Dario Mazzilli, Riccardo Piombo, Lorenzo Buffa +1
Optimal transport describes the most efficient way to move mass between two distributions, given a cost matrix for moving mass between each pair of locations. Entropic optimal tran…
Information-theoretic formulation of the Traveling Salesman Problem
Enrico Maria Fenoaltea, Riccardo Piombo, Aurelio Patelli
The Traveling Salesman Problem (TSP) asks for the shortest route to visit a set of cities exactly once. It combines a simple local rule - each city must be visited once - with a ha…
Statistical Mechanics of the Sub-Optimal Transport
Riccardo Piombo, Lorenzo Buffa, Dario Mazzilli +1
Statistical mechanics is a powerful framework for analyzing optimization yielding analytical results for matching, optimal transport, and other combinatorial problems. However, the…
Maximum entropy modeling of Optimal Transport: the sub-optimality regime and the transition from dense to sparse networks
Lorenzo Buffa, Dario Mazzilli, Riccardo Piombo +3
We present a bipartite network model that captures intermediate stages of optimization by blending the Maximum Entropy approach with Optimal Transport. In this framework, the netwo…
Vulnerabilities and capabilities in the EU Automotive industry: Leveraging Input-Output Analysis and Economic Complexity
Lorenzo Cresti, Dario Mazzilli, Aurelio Patelli +2
This paper investigates the structural vulnerabilities and competitive dynamics of the EU27 automotive sector, with a focus on the complexity and the fragmentation of production pr…
Follow the money: a startup-based measure of AI exposure across occupations, industries and regions
Enrico Maria Fenoaltea, Dario Mazzilli, Aurelio Patelli +5
The integration of artificial intelligence (AI) into the workplace is advancing rapidly, necessitating robust metrics to evaluate its tangible impact on the labour market. Existing…
Structural Change, Employment, and Inequality in Europe: an Economic Complexity Approach
Bernardo Caldarola, Dario Mazzilli, Aurelio Patelli +1
Structural change consists of industrial diversification towards more productive, knowledge intensive activities. However, changes in the productive structure bear inherent links w…
Ranking species in complex ecosystems through nestedness maximization
Manuel Sebastian Mariani, Dario Mazzilli, Aurelio Patelli +1
Identifying the rank of species in a social or ecological network is a difficult task, since the rank of each species is invariably determined by complex interactions stipulated wi…
Economic complexity and the sustainability transition: A review of data, methods, and literature
Bernardo Caldarola, Dario Mazzilli, Lorenzo Napolitano +2
Economic Complexity (EC) methods have gained increasing popularity across fields and disciplines. In particular, the EC toolbox has proved particularly promising in the study of co…
Inferring comparative advantage via entropy maximization
Matteo Bruno, Dario Mazzilli, Aurelio Patelli +2
We revise the procedure proposed by Balassa to infer comparative advantage, which is a standard tool, in Economics, to analyze specialization (of countries, regions, etc.). Balassa…
Equivalence between the Fitness-Complexity and the Sinkhorn-Knopp algorithms
Dario Mazzilli, Manuel Sebastian Mariani, Flaviano Morone +1
We uncover the connection between the Fitness-Complexity algorithm, developed in the economic complexity field, and the Sinkhorn-Knopp algorithm, widely used in diverse domains ran…
The Evolution of Competitiveness across Economic, Innovation and Knowledge production activities
Aurelio Patelli, Lorenzo Napolitano, Giulio Cimini +2
The evolution of economic and innovation systems at the national scale is shaped by a complex dynamics, the footprint of which is the nested structure of the activities in which di…
Geography of Science: Competitiveness and Inequality
Aurelio Patelli, Lorenzo Napolitano, Giulio Cimini +1
Using ideas and tools of complexity science we design a holistic measure of \textit{Scientific Fitness}, encompassing the scientific knowledge, capabilities and competitiveness of…
Universal Database for Economic Complexity
Aurelio Patelli, Andrea Zaccaria, Luciano Pietronero
We present an integrated database suitable for the investigations of the Economic development of countries by using the Economic Fitness and Complexity framework. Firstly, we imple…
Landau kinetic equation for dry aligning active models
Aurelio Patelli
The Landau equation is a kinetic equation based on the weak coupling approximation of the interaction between the particles. In the framework of dry active matter this new kinetic…
Understanding dense active nematics from microscopic models
Aurelio Patelli, Ilyas Djafer-Cherif, Igor S. Aranson +2
We study dry, dense active nematics at both particle and continuous levels. Specifically, extending the Boltzmann-Ginzburg-Landau approach, we derive well-behaved hydrodynamic equa…
Generalized Markov stability of network communities
Aurelio Patelli, Andrea Gabrielli, Giulio Cimini
We address the problem of community detection in networks by introducing a general definition of Markov stability, based on the difference between the probability fluxes of a Marko…
Deriving hydrodynamic equations from dry active matter models in three dimensions
Benoît Mahault, Aurelio Patelli, Hugues Chaté
We derive hydrodynamic equations from Vicsek-style dry active matter models in three dimensions (3D), building on our experience on the 2D case using the Boltzmann-Ginzburg-Landau…
Active Matter Class with Second-Order Transition to Quasi-Long-Range Polar Order
B. Mahault, X. -c. Jiang, E. Bertin +4
We introduce and study in two dimensions a new class of dry, aligning, active matter that exhibits a direct transition to orientational order, without the phase-separation phenomen…
Fore-aft asymmetric flocking
Qiu-shi Chen, Aurelio Patelli, Hugues Chaté +2
We show that fore-aft asymmetry, a generic feature of living organisms and some active matter systems, can have a strong influence on the collective properties of even the simplest…
Unfolding the innovation system for the development of countries: co-evolution of Science, Technology and Production
Emanuele Pugliese, Giulio Cimini, Aurelio Patelli +3
We show that the space in which scientific, technological and economic developments interplay with each other can be mathematically shaped using pioneering multilayer network and c…
The scientific influence of nations on global scientific and technological development
Aurelio Patelli, Giulio Cimini, Emanuele Pugliese +1
Determining how scientific achievements influence the subsequent process of knowledge creation is a fundamental step in order to build a unified ecosystem for studying the dynamics…
General linear response formula for non integrable systems obeying the Vlasov equation
Aurelio Patelli, Stefano Ruffo
Long-range interacting N-particle systems get trapped into long-living out-of-equilibrium stationary states called quasi-stationary states (QSS). We study here the response to a sm…
Non-mean-field Critical Exponent in a Mean-field Model : Dynamics versus Statistical Mechanics
Shun Ogawa, Aurelio Patelli, Yoshiyuki Y. Yamaguchi
The mean-field theory tells that the classical critical exponent of susceptibility is the twice of that of magnetization. However, the linear response theory based on the Vlasov eq…