The mathematical structure of innovation

A theoretical model of recursive innovation suggests that new technologies are recursively built up from new combinations of existing ones.

T. Fink, I. Teimouri

LQ placeholderA theory of recursive innovation which shows that new technologies are recursively built up from combinations of existing technologies.

Despite our familiarity with specific technologies, the origin of new technologies remains mysterious. Are new technologies made from scratch, or are they built up recursively from new combinations of existing technologies? To answer this, we introduce a simple model of recursive innovation in which technologies are made up of components and combinations of components can be turned into new components—a process we call technological recursion. We derive a formula for the extent to which technological recursion increases or decreases the likelihood of making new technologies. We test our predictions on historical data from three domains and find that technologies are not built up from scratch, but are the result of new combinations of existing technologies. This suggests a dynamical process by which known technologies were made and a strategy for accelerating the discovery of new ones.

LQ placeholderNetwork valuation in financial systems

Network valuation in financial systems

P. Barucca, M. Bardoscia, F. Caccioli, M. D’Errico, G. Visentin, G. Caldarelli, S. Battiston

Mathematical Finance

LQ placeholderThe space of functions computed by deep layered machines

The space of functions computed by deep layered machines

A. Mozeika, B. Li, D. Saad

Sub. to Physical Review Letters

LQ placeholderReplica analysis of overfitting in generalized linear models

Replica analysis of overfitting in generalized linear models

T. Coolen, M. Sheikh, A. Mozeika, F. Aguirre-Lopez, F. Antenucci

Sub. to Journal of Physics A

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Taming complexity

M. Reeves, S. Levin, T. Fink, A. Levina

Harvard Business Review

LQ placeholderReplica analysis of Bayesian data clustering

Replica analysis of Bayesian data clustering

A. Mozeika, T. Coolen

Journal of Physics A

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Degree-correlations in a bursting dynamic network model

F. Vanni, P. Barucca

Journal of Economic Interaction and Coordination

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