Free Probability and Neural Networks
Issa Dabo  1@  , Jérémie Bigot  1@  , Camille Male  1@  
1 : Université de Bordeaux
Université de Bordeaux (Bordeaux, France)

While classical Probability relies on Measure theory, Free Probability studies randomness from an algebraic point of view.
This theory based on non-commutative algebra is used in various domains such as random matrix theory, combinatorics, quantum information theory.
After a brief introduction to Free probability, we will see how the theory is used to study neural networks

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