baldassarri baronchelli barrat caglioti castellano cattuto complexity dattoli evolutionary_dynamics granular_media granular_media herrmann information_theory innovation_dynamics kreyon language_dynamics loreto mari mukherjee petri pietronero puglisi quantum_optics self_organization servedio statistical_physics techno_social_systems tria zapperi zippers
2016 |
V Loreto VDP Servedio, SH Strogatz Tria F Dynamics on Expanding Spaces: Modeling the Emergence of Novelties Book Chapter Mirko Degli Esposti Eduardo G. Altmann, François Pachet (Ed.): Creativity and Universality in Language, pp. 59-83, Springer International Publishing, 2016, ISBN: 978-3-319-24401-3. Abstract | Links | BibTeX | Tag: adjacent possible, innovation_dynamics, kreyon, loreto, review, servedio, strogatz, tria @inbook{Loreto2016, title = {Dynamics on Expanding Spaces: Modeling the Emergence of Novelties}, author = {V Loreto, VDP Servedio, SH Strogatz, F Tria}, editor = {Mirko Degli Esposti, Eduardo G. Altmann, François Pachet}, url = {http://link.springer.com/chapter/10.1007%2F978-3-319-24403-7_5}, doi = {10.1007/978-3-319-24403-7_5}, isbn = {978-3-319-24401-3}, year = {2016}, date = {2016-05-19}, booktitle = {Creativity and Universality in Language}, pages = {59-83}, publisher = {Springer International Publishing}, series = {Lecture Notes in Morphogenesis}, abstract = {Novelties are part of our daily lives. We constantly adopt new technologies, conceive new ideas, meet new people, and experiment with new situations. Occasionally, we as individual, in a complicated cognitive and sometimes fortuitous process, come up with something that is not only new to us, but to our entire society so that what is a personal novelty can turn into an innovation at a global level. Innovations occur throughout social, biological, and technological systems and, though we perceive them as a very natural ingredient of our human experience, little is known about the processes determining their emergence. Still the statistical occurrence of innovations shows striking regularities that represent a starting point to get a deeper insight in the whole phenomenology. This paper represents a small step in that direction, focusing on reviewing the scientific attempts to effectively model the emergence of the new and its regularities, with an emphasis on more recent contributions: from the plain Simon’s model tracing back to the 1950s, to the newest model of Polya’s urn with triggering of one novelty by another. What seems to be key in the successful modeling schemes proposed so far is the idea of looking at evolution as a path in a complex space, physical, conceptual, biological, and technological, whose structure and topology get continuously reshaped and expanded by the occurrence of the new. Mathematically, it is very interesting to look at the consequences of the interplay between the “actual” and the “possible” and this is the aim of this short review.}, keywords = {adjacent possible, innovation_dynamics, kreyon, loreto, review, servedio, strogatz, tria}, pubstate = {published}, tppubtype = {inbook} } Novelties are part of our daily lives. We constantly adopt new technologies, conceive new ideas, meet new people, and experiment with new situations. Occasionally, we as individual, in a complicated cognitive and sometimes fortuitous process, come up with something that is not only new to us, but to our entire society so that what is a personal novelty can turn into an innovation at a global level. Innovations occur throughout social, biological, and technological systems and, though we perceive them as a very natural ingredient of our human experience, little is known about the processes determining their emergence. Still the statistical occurrence of innovations shows striking regularities that represent a starting point to get a deeper insight in the whole phenomenology. This paper represents a small step in that direction, focusing on reviewing the scientific attempts to effectively model the emergence of the new and its regularities, with an emphasis on more recent contributions: from the plain Simon’s model tracing back to the 1950s, to the newest model of Polya’s urn with triggering of one novelty by another. What seems to be key in the successful modeling schemes proposed so far is the idea of looking at evolution as a path in a complex space, physical, conceptual, biological, and technological, whose structure and topology get continuously reshaped and expanded by the occurrence of the new. Mathematically, it is very interesting to look at the consequences of the interplay between the “actual” and the “possible” and this is the aim of this short review. |
2014 |
Tria, Francesca; Loreto, Vittorio; Servedio, Vito Domenico Pietro; Strogatz, Steven H The dynamics of correlated novelties Journal Article SCIENTIFIC REPORTS, 4 , 2014. Abstract | Links | BibTeX | Tag: innovation_dynamics, loreto, servedio, strogatz, tria @article{b, title = {The dynamics of correlated novelties}, author = {Francesca Tria and Vittorio Loreto and Vito Domenico Pietro Servedio and Steven H. Strogatz}, url = {http://www.nature.com/srep/2014/140731/srep05890/full/srep05890.html}, year = {2014}, date = {2014-01-01}, journal = {SCIENTIFIC REPORTS}, volume = {4}, publisher = {Nature Publishing Group}, abstract = {Novelties are a familiar part of daily life. They are also fundamental to the evolution of biological systems, human society, and technology. By opening new possibilities, one novelty can pave the way for others in a process that Kauffman has called expanding the adjacent possible . The dynamics of correlated novelties, however, have yet to be quantified empirically or modeled mathematically. Here we propose a simple mathematical model that mimics the process of exploring a physical, biological, or conceptual space that enlarges whenever a novelty occurs. The model, a generalization of Polya's urn, predicts statistical laws for the rate at which novelties happen (Heaps' law) and for the probability distribution on the space explored (Zipf's law), as well as signatures of the process by which one novelty sets the stage for another. We test these predictions on four data sets of human activity: the edit events of Wikipedia pages, the emergence of tags in annotation systems, the sequence of words in texts, and listening to new songs in online music catalogues. By quantifying the dynamics of correlated novelties, our results provide a starting point for a deeper understanding of the adjacent possible and its role in biological, cultural, and technological evolution.}, keywords = {innovation_dynamics, loreto, servedio, strogatz, tria}, pubstate = {published}, tppubtype = {article} } Novelties are a familiar part of daily life. They are also fundamental to the evolution of biological systems, human society, and technology. By opening new possibilities, one novelty can pave the way for others in a process that Kauffman has called expanding the adjacent possible . The dynamics of correlated novelties, however, have yet to be quantified empirically or modeled mathematically. Here we propose a simple mathematical model that mimics the process of exploring a physical, biological, or conceptual space that enlarges whenever a novelty occurs. The model, a generalization of Polya's urn, predicts statistical laws for the rate at which novelties happen (Heaps' law) and for the probability distribution on the space explored (Zipf's law), as well as signatures of the process by which one novelty sets the stage for another. We test these predictions on four data sets of human activity: the edit events of Wikipedia pages, the emergence of tags in annotation systems, the sequence of words in texts, and listening to new songs in online music catalogues. By quantifying the dynamics of correlated novelties, our results provide a starting point for a deeper understanding of the adjacent possible and its role in biological, cultural, and technological evolution. |
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