PSU Mark
Eberly College of Science Mathematics Department

Meeting Details

For more information about this meeting, contact Svetlana Katok, Becky Halpenny.

Title:Neural networks and labeled trees
Seminar:PMASS Colloquium
Speaker:Manfred Denker, Penn State
It has been observed in experiments that the number of active neurons in a neural network obeys a power law: The chances of having L of them is proportional to L^{-3/2}. I will discuss the question how this can be derived in a mathematically rigorous way from simple assumptions. It turns out that this question is related to an old theorem of Caylay (in 1889) about the number of labeled trees with a fixed number of vertices. The mathematical tools used in the talk are taken from combinatorics (placing balls in boxes), binomial coefficients, and analysis (differentiation).

Room Reservation Information

Room Number:MB113
Date:01 / 16 / 2014
Time:02:30pm - 03:20pm