The map
Every post here cites the posts it builds on. This map is drawn from those citations: each lane is a series in reading order, each dot a post, each curve a reference from one post to another. Hover a dot to see what it draws on and what draws on it.
Geometry of Representations 8 parts
Where do representations live, and what makes a latent space good? Contrastive learning, the geometry of embedding spaces, and why the usual activation functions work against it.
- Activations Are Bad for Geometry
- Opposite Is Not Different: The Cosine-Similarity Bug in CLIP and Contrastive Learning
- Not All Infinities Are Equal: The Cross-Entropy Asymmetry Behind Hallucination
- Untangling the Moons: A Visual History of Contrastive Learning JAX companion
- What Makes a Good Latent Space? The Welch Bound and the Simplex JAX companion
- Latent on the Spectrum: Why Cats Sit Closer to Dogs Than to Cars JAX companion
- The Three States of Information JAX companion
- Distillation Is a Geometry, Not an Answer Key JAX companion
Attention Is a Kernel 5 parts
Attention, read as kernel regression: what the softmax is really computing, why that makes it explainable, and what happens when you make the kernel cheap.
Weights in Kernel Space 5 parts
Once everything is a kernel, what is a weight? An interlude on RKHS foundations: where a weight lives, what it can be, and why the MLP block is a representer theorem.
The Prototype Network 12 parts
Replace the activation with a finite, positive-definite kernel and a network becomes a list of prototypes you can read, edit by hand, and finally collapse into a single fixed-point operator.
- What a Finite Kernel Buys an MLP JAX companion
- Your Neuron Is a Direction. It Should Be a Picture. JAX companion
- Your Network Is a List of Pictures. You Can Edit It. JAX companion
- You Only Have to Train the Features JAX companion
- You Don't Even Have to Train the Features JAX companion
- How Far Down Can You Build? JAX companion
- When 80% Should Mean 80% JAX companion
- A Risk Model That Names Its Reasons JAX companion
- The White-Box Survival Model on Trial JAX companion
- Your Network Is a Stack of Layers. It Could Be a Fixed Point. JAX companion
- Edit One Operator, Edit Every Depth JAX companion
- One Kernel, Fitted Twice JAX companion
Networks as Integrators 5 parts
Numerical analysis as an architecture catalog: skip connections as an Euler step, momentum nets as half of Newton, and conservation laws as testable predictions about hidden states.