
July 4, 2026
The inductive-biases series is now a ten-episode animated playlist: every architecture is a bet about the world, and the bet is the bias. No free lunch first, then each architecture read as its assumptions, graded on one scorecard.

June 9, 2026
Function approximation, why one linear unit cannot learn XOR, and what a hidden layer actually buys. The opening of a from-scratch tour of inductive bias.

June 9, 2026
An attention head is a learned content-addressable lookup: a query matches keys, retrieves a value, exactly like dereferencing a pointer. Depth is how many lookups you can compose.

June 9, 2026
The trained pointer model reads exactly the right memory cell, provably. Its attention barely shows where. The gap, and the causal probe that closes it.

June 9, 2026
The simplest neural language model: embed the last N tokens, concatenate, predict the next. What you give up with a fixed window, and what you gain by dropping recurrence.
June 9, 2026

June 9, 2026
A recurrent network reuses one cell at every timestep and carries a state. That buys time-translation equivariance and unbounded reach in principle, and bills you in vanishing gradients.

June 9, 2026
When the only signal is a number at the end of a trajectory. How REINFORCE turns out to be the same gradient as classification, scaled by return, and where the theory tops out.

June 9, 2026
Choosing a loss is choosing a distribution for your output. Why every supervised network is a maximum-likelihood estimator, and why the gradient is always the residual.

June 9, 2026
A convolution is a bet about images: nearby pixels matter together, and a feature detector should fire anywhere. How to test whether a model is actually using that bet.

March 15, 2026
Part 3 of What Your RL Algorithm Actually Assumes — the architecture decides what kind of features can be learned, and that decision is a Bayesian prior over value functions.
December 17, 2025
December 17, 2025
December 17, 2025
Notes
Perspective of deep learning from applied math. Bridges math with neural nets.
December 17, 2025
Notes
Free open-source deep learning book with code and math integrated. Interactive deep learning resource with runnable code.

October 7, 2025
Learning fuzzy membership functions and inference rules automatically through gradient descent on soft circuits, instead of hand-crafting them.

September 20, 2024
The evolution of neural sequence prediction, and how it connects to classical methods

June 15, 2024
The bias-data trade-off in sequential prediction: when to use CTW, n-grams, or neural language models.