Department Seminar by José Luis Avilez Escribens

Wednesday, October 21, 2020 3:00 pm - 3:00 pm EDT (GMT -04:00)

Please Note: This seminar will be given online.

Student Seminar Series

José Luis Avilez Escribens, MMath Student in Statistics
University of Waterloo

Link to join seminar: Hosted on Teams.

Is the integral the most important object in all of mathematics?

Yes. We prove this claim by showcasing three clever applications of integral calculus in statistics and probability:

  1. Finding suitable activation functions for feed-forward neural networks by means of integral representation theorems;
  2. Extending classical time series models to the high-frequency domain via integral operators;
  3. Simplifying stochastic integration to a path-by-path calculus.