Understanding Generative AI (Stable Diffusion) as Galton Board
Generative AI can be magical, but the mathematical ideas and intuition underlying the popular 'Stable Diffusion' approach can be opaque and somewhat inaccessible. However, these ideas are interesting so we will approach the topic in a distilled manner - understanding it as a 'Galton Board', which will not demand any prior mathematical or AI background.
Penrose graphical notation
Mathematics is usually written using symbols, however, these symbols are not magic, but purposeful inventions. Is there an interesting and useful example of non-symbol-based mathematical notation? There is and we will do an introduction to Roger Penrose's (physics Nobel Laureate) graphical notation, which we will apply to a classical physics problem. Familiarity with vector calculus will be assumed.
Continuous Normalizing Flows and Flow Matching
There is more than one way of doing Generative AI, and we will be looking at a model that can be approached using a lightly flavored physics angle of fluid dynamics - the Continuous Normalizing Flows and Flow Matching model. Prior knowledge of calculus and a basic understanding of Generative AI as such will be assumed.
Gambler's paradox
The concept of Gambler's Fallacy is well known - it is an erroneous belief that future events are affected by past outcomes in games of luck. It is the feeling that given a bad run one's luck is likely to turn. But the gambler is ready to give you a bet that he is right - would you be ready to take it?
Is reality real - experimentally speaking?
The 2022 Nobel Prize in physics was awarded for experiments showing that the world is very weird. Weird in what way? That the following two things are not true simultaneously - things have clear existence and things interact only adjacently. An elegant experiment with elegant reasoning, showing that the universe is a strange one.
Understanding computing through visualized lambda calculus
Pablo Picasso once said that 'Art is the elimination of the unnecessary', so what does computing look like when everything has been eliminated to minimum? We will explore the heart of computing through visualized lambda calculus. No prior knowledge will be assumed.
Beauty in physics - discovering special relativity
What does it mean that physics is 'beautiful'? Mathematics is the language of physics, so is part of the story. We will explore this notion of beauty in physics by the example of 'inventing' Special Relativity based on principles of simplicity and elegance.