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 · 6 What Activations Do to Geometry What Activations Untangling the Moons: A Visual History of Contrastive Learning · has a JAX companion Untangling the What Makes a Good Latent Space? The Welch Bound and the Simplex · has a JAX companion What Makes a Good Latent on the Spectrum: Why Cats Sit Closer to Dogs Than to Cars · has a JAX companion Latent on the The Three States of Information · has a JAX companion The Three States Distillation Is a Geometry, Not an Answer Key · has a JAX companion Distillation Is a Attention Is a Kernel · 6 What Attention Weights Can Explain · has a JAX companion What Attention What a Finite Kernel Buys an MLP · has a JAX companion What a Finite Cheap Attention: Linear-Time Kernel Approximation · has a JAX companion Cheap Attention: Why Attention Needs Q and K Projections · has a JAX companion Why Attention The Kernel Between the Roles · has a JAX companion The Kernel Between The Geometry of Attention Is a Choice of Kernel · has a JAX companion The Geometry of Weights in Kernel Space · 4 The Readout is a Convex Combination of Prototypes · has a JAX companion The Readout is a Where Does a Weight Live? · has a JAX companion Where Does a What Can a Weight Be? · has a JAX companion What Can a Weight The MLP Block Can Be a Kernel Memory · has a JAX companion The MLP Block Can The Prototype Network · 9 Your Network Is a List of Pictures. You Can Edit It. · has a JAX companion Your Network Is a How Much of a Fashion-MNIST Network Can You Build by Hand? · has a JAX companion How Much of a How Far Down Can You Build? · has a JAX companion How Far Down Can When 80% Should Mean 80% · has a JAX companion When 80% Should The White-Box Survival Model on Trial · has a JAX companion The White-Box Your Network Is a Stack of Layers. It Could Be a Fixed Point. · has a JAX companion Your Network Is a Edit One Operator, Edit Every Depth · has a JAX companion Edit One Operator, One Kernel Family, Fitted Two Ways · has a JAX companion One Kernel Family, How Many Random Neurons Buy a Trained One? · has a JAX companion How Many Random The Kernel as an Instrument · 4 The Trained Network, Under Mercer's Microscope The Trained The Concept That Would Not Die The Concept That How to Interrogate a Kernel Network How to Interrogate A Network Made of Parts A Network Made of Networks as Integrators · 5 Your Skip Connection Is Half of Newton · has a JAX companion Your Skip Transformers With a Velocity Ledger · has a JAX companion Transformers With A Network Built from Hamiltonian Steps · has a JAX companion A Network Built Backprop Without the Memory · has a JAX companion Backprop Without Depth on Demand · has a JAX companion Depth on Demand
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Weights in Kernel Space 4 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.

  1. The Readout is a Convex Combination of Prototypes JAX companion
  2. Where Does a Weight Live? JAX companion
  3. What Can a Weight Be? JAX companion
  4. The MLP Block Can Be a Kernel Memory JAX companion

The Kernel as an Instrument 4 parts

A trained network carries its own kernel, and a kernel can be measured. Decompose it, cut modes out of it, count the concepts it will admit to having, and find out which parts of the design were doing the work all along.

  1. The Trained Network, Under Mercer's Microscope
  2. The Concept That Would Not Die
  3. How to Interrogate a Kernel Network
  4. A Network Made of Parts

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.

  1. Your Skip Connection Is Half of Newton JAX companion
  2. Transformers With a Velocity Ledger JAX companion
  3. A Network Built from Hamiltonian Steps JAX companion
  4. Backprop Without the Memory JAX companion
  5. Depth on Demand JAX companion