Industrial Engineering - Statistics Schools

[Sepens]

I am a prospective applicant for Fall 2018 applying to PhD programs in applied mathematics and industrial engineering. Primarily my research interests are in numerical analysis of differential equations, stochastic differential equations, and machine learning.

Currently my list of schools is:

MIT

Caltech

Northwestern

University of Minnesota

Brown

University of Michigan

University of Texas at Austin

University of Pittsburgh

Georgia Tech

Cornell

 

However, I'm looking for a couple safety schools to help round out the lists. What are some lower-ranked programs in these fields I could look at? I'm having difficulty finding anything with my interests.