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Dogukan Tuna

hi!! I usually go by the "dthinky!" alias, though my name is Doğukan.

>> doing research.

>>> generalization, recursive self-improvement.

>>>> speedrunning kernels to superintelligence.

most interested in: automating research, scalable search space under adaptive compute, internal value functions. the goal is to accelerate what's coming and make sure it lands net positive.

excited about flourishing in a world with MAS at 100 trillion params, together.

Building 2x Ultraresearch & Manuel AI.

staring at nature · thinking about thinking machines · prob. rn making fun with fable 5 to design kernels & chips

Reach out:

Find me: GitHub, X, Medium, Goodreads

Research

A running log of posts, experiments, and longer notes from the work. View all

Neural Networks & New Kinds

Compression is how I think about learning. The tighter a model can compress its inputs, the more structure it has actually found. Kolmogorov complexity makes this precise — it measures the length of the shortest program that produces a given output, which turns out to be the theoretical floor for any compressor.

The Ultimate Compressor

K(X) = length of the shortest program that outputs X. For any computable compressor C and all strings X:

K(X) ≤ |C(X)| + K(C) + O(1)

via the simulation argument — run C inside a universal machine

The Catch

K(X) is uncomputable — you can never know the true shortest program. But a deep network is a finite parallel computer that approximates it with bounded resources.

Why Neural Nets are Compressors

  1. Neural nets can simulate arbitrary programs.
  2. They are small computers — circuits wired by data.
  3. SGD searches over the space of programs they can express.

Micro-Kolmogorov Complexity

Fix an architecture, then fit a network with SGD — the bit-length of the resulting weights is a practical proxy for description length:

minf ∈ F [ loss(f) + λ · micro-K(f) ]

micro-K(f) ≈ bit-length of weights in a fixed architecture

Shorter description length → better generalization.

I'm deeply invested in methods that make learning systems compress harder and generalize further.