The hidden structure of innovation networks

📅 2026-01-15
📈 Citations: 0
Influential: 0
📄 PDF
🤖 AI Summary
This study investigates how meso-level structures in inventor and organizational collaboration networks shape the distribution of technological impact. Leveraging patent data from artificial intelligence, biotechnology, and semiconductors, the authors construct co-inventorship and co-ownership networks, applying a degree-corrected stochastic block model optimized via modularity maximization and the Bayesian Information Criterion to identify community structures, which are then linked to forward citation distributions. The analysis reveals that inventor networks consist of densely nested small teams, whereas organizational networks exhibit distinct hierarchical roles. Conventional modularity-based methods struggle to capture how local hierarchies influence innovation diffusion, while Bayesian inference effectively uncovers this mechanism. Findings indicate that a minority of clusters account for the bulk of technological impact, with bridging organizations playing a pivotal role in coordinating peripheral actors, thereby confirming a significant association between meso-level network structure and innovation outcomes.

Technology Category

Application Category

📝 Abstract
Innovation emerges from complex collaboration patterns - among inventors, firms, or institutions. However, not much is known about the overall mesoscopic structure around which inventive activity self-organizes. Here, we tackle this problem by employing patent data to analyze both individual (co-inventorship) and organization (co-ownership) networks in three strategic domains (artificial intelligence, biotechnology and semiconductors). We characterize the mesoscale structure (in terms of clusters) of each domain by comparing two alternative methods: a standard baseline - modularity maximization - and one based on the minimization of the Bayesian Information Criterion, within the Stochastic Block Model and its degree-corrected variant. We find that, across sectors, inventor networks are denser and more clustered than organization ones - consistent with the presence of small recurrent teams embedded into broader institutional hierarchies - whereas organization networks have neater hierarchical role-based structures, with few bridging firms coordinating the most peripheral ones. We also find that the discovered meso-structures are connected to innovation output. In particular, Lorenz curves of forward citations show a pervasive inequality in technological influence: across sectors and methods, both inventor (especially) and organization networks consistently show high levels of concentration of citations in a few of the discovered clusters. Our results demonstrate that the baseline modularity-based method may not be capable of fully capturing the way collaborations drive the spreading of inventive impact across technological domains. This is due to the presence of local hierarchies that call for more refined tools based on Bayesian inference.
Problem

Research questions and friction points this paper is trying to address.

innovation networks
mesoscale structure
co-inventorship
co-ownership
technological influence
Innovation

Methods, ideas, or system contributions that make the work stand out.

Stochastic Block Model
Bayesian Information Criterion
co-inventorship networks
mesoscale structure
innovation impact
🔎 Similar Papers
No similar papers found.
L
Lorenzo Emer
Institute of Economics and L’EMbeDS, Scuola Superiore Sant’Anna, P.zza Martiri della Libertà 33, 56127 Pisa (Italy); Department of Computer Science, University of Pisa, L.go Bruno Pontecorvo 3, 56126 Pisa (Italy)
Anna Gallo
Anna Gallo
PhD, IMT School for Advanced Studies, Lucca
ProbabilityApplied MathRandom GraphsNetworks Theory
M
Mattia Marzi
IMT School for Advanced Studies, P.zza San Francesco 19, 55100 Lucca (Italy)
A
Andrea Mina
Institute of Economics and L’EMbeDS, Scuola Superiore Sant’Anna, P.zza Martiri della Libertà 33, 56127 Pisa (Italy); Centre for Business Research, University of Cambridge, Trumpington Street 11-12, CB2 1QA Cambridge (UK)
Tiziano Squartini
Tiziano Squartini
Associate Professor at IMT School for Advanced Studies, Piazza S. Francesco 19, 55100 Lucca (Italy)
Complex Networks TheoryStatistical PhysicsEconophysicsSociophysicsData Science
A
Andrea Vandin
Institute of Economics and L’EMbeDS, Scuola Superiore Sant’Anna, P.zza Martiri della Libertà 33, 56127 Pisa (Italy); DTU Technical University of Denmark, Anker Engelunds Vej 101, 2800 Kongens Lyngby (Denmark)