# A probabilistic study of neural complexity

@article{Buzzi2009APS, title={A probabilistic study of neural complexity}, author={J{\'e}r{\^o}me Buzzi and Lorenzo Zambotti}, journal={arXiv: Probability}, year={2009} }

G. Edelman, O. Sporns, and G. Tononi have introduced the neural complexity of a family of random variables, defining it as a specific average of mutual information over subfamilies. We show that their choice of weights satisfies two natural properties, namely exchangeability and additivity, and we call any functional satisfying these two properties an intricacy. We classify all intricacies in terms of probability laws on the unit interval and study the growth rate of maximal intricacies when…

## 2 Citations

### Approximate maximizers of intricacy functionals

- Computer Science, Mathematics
- 2009

The main ideas are a random construction of almost maximizers with a high statistical symmetry and the consideration of entropy profiles, i.e., the average entropies of sub-systems of a given size.

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- ArtThe 2011 International Joint Conference on Neural Networks
- 2011

In this paper, we speculate that abstract art can become an useful paradigm for both studying the relationship between neuroscience and art, and as a benchmark problem for the researches on…

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