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Trees in the Real Field

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Neural Approaches to Dynamics of Signal Exchanges

Part of the book series: Smart Innovation, Systems and Technologies ((SIST,volume 151))

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Abstract

This paper proposes an algebraic view of trees which opens the doors to an alternative computational scheme with respect to classic algorithms. In particular, it is shown that this view is very well-suited for machine learning and computational linguistics.

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Notes

  1. 1.

    In the following, we will often regard the elements of \(\mathtt T\) as elements of \(\mathbb {R}^p\), without mentioning function \(\ell \) explicitly.

References

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Acknowledgements

We thank Ilaria Cardinali for insightful discussions.

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Correspondence to Marco Gori .

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Betti, A., Gori, M. (2020). Trees in the Real Field. In: Esposito, A., Faundez-Zanuy, M., Morabito, F., Pasero, E. (eds) Neural Approaches to Dynamics of Signal Exchanges. Smart Innovation, Systems and Technologies, vol 151. Springer, Singapore. https://doi.org/10.1007/978-981-13-8950-4_17

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