Introduction to Our Research Philosophy

Story 1: Kepler found that planets' orbits around the sun are always planar. conic curves, with sun located on a focus. The sectorial velocity is a constant.

(Picture: UTexas M408 Learning Modules)

Questions

1. Which principles in mechanics can explain Kepler's laws?
2. If there is a small perturbation to the planet's orbit, what will happen?
3. What is the role of mathematics in the development of any science?

Story 2: The dog learns how to interact with the person for his maximum reward by experiences.

(Picture: Analytics Vidhya)

Questions

1. What information does the dog learn from the person's behavior?
2. What is the dog's algorithm to optimize the policy on the person?
3. Is there something in common between different (dog, person) pairs?

Story 3: A chemist wants to design and synthesize a molecule that binds on a receptor on cells in the therapy of a disease.

(Picture: European Pharmaceutical Review)

Questions

1. For a novel molecule without existing data, what does a chemist need to do to predict its property accurately?
2. How does the chemist search for a good molecule, and know how to synthesize it?
3. Why should not the chemist appeal to arbitrary existing AI/ML package to help with the process?