Can you suggest a topic for a Bachelor Thesis in Mathematics that is related to Machine Learning? Context
I am a final year Bachelor of Mathematics student and next semester I will write my Bachelor thesis.
My interests are in Machine Learning (ML) and I will do a master in ML next year. More specific sub-fields I like are

Deep Learning
Computer Vision
Natural Language Processing
Reinforcement Learning

And my interests outside of ML and mathematics include

Self-driving cars (e.g. Tesla)
Rocket and space exploration

more vaguely, I find tech interesting as a whole.
Question
I am looking for a thesis which would bring me as close as possible to the field of ML. Do you have topic recommendations ?
BUT my Bachelor is in Mathematics therefore I shall not write a thesis in Computer Science as it would not be accepted by my study director.
Some thoughts
I know some people who were in my case. One of them for instance discovered and proved some convergence results in the context of Gradient Descent. Maybe this will inspire you with your answers.
Thanks in advance!

PS: This is a duplicate of my original question on the Math Stack Exchange but I thought that people on the Computer Science Stack Exchange could bring a different point of view.
I would like to make two points clear as a researcher:

Mathematics is a very broad discipline. When you're on bachelor level it is still appropriate to call it &quot;Mathematics&quot; but already in Masters, you'll need to specialize! Youll have to choose a branch and then you won't be &quot;a mathematician&quot; you'll be Statistician, a topologist, graph theorist, category theorist etc. This being said you need to ask yourself which branch you're most interested in? This leads to the next point:

The fact that you're interested in Machine Learning already narrows it down to  Probability &amp; Statistics, Linear Algebra, Multivariate Calculus. And here I would say that any topic that falls within these categories will help you later along the road.


Bachelor Thesis is a piece of scientific work that's why it is called &quot;Bachelor&quot;. You are supposed to do research and produce new knowledge regardless of how small or significant it will be. This forum cant do it for you.
Pick something YOU are interested in from Probability &amp; Statistics, Linear Algebra or Multivariate Calculus and explore the topic. Once you start you'll inevitably get questions that need addressing. If you get stuck pick a classic problem (for example Knight's tour) and systematically break it down.