MachineSex/results/fig2_mnist_collapse
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Co-Authored-By: Claude Fable 5.1 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01Y64o8FKP7rCuXzC48pxpMm
2026-09-13 17:07:23 +01:00
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fig2_mnist_collapse.pdf main: keep only what reproduces the manuscript; everything else lives on dev 2026-09-13 17:07:23 +01:00
fig2_mnist_collapse.png Restructure: descriptive tier and experiment names, paper/manuscript 2026-09-13 17:00:40 +01:00
manifest.json Restructure: descriptive tier and experiment names, paper/manuscript 2026-09-13 17:00:40 +01:00
mnist_montage.pdf Restructure: descriptive tier and experiment names, paper/manuscript 2026-09-13 17:00:40 +01:00
mnist_montage.png Restructure: descriptive tier and experiment names, paper/manuscript 2026-09-13 17:00:40 +01:00
README.md Restructure: descriptive tier and experiment names, paper/manuscript 2026-09-13 17:00:40 +01:00
resolved_config.yaml Restructure: descriptive tier and experiment names, paper/manuscript 2026-09-13 17:00:40 +01:00

mnist_collapse — collapse and grounding-rescue on REAL MNIST images (external validity)

Claim tested: everything so far used a synthetic sandbox with a zero-error decoder oracle. Do model collapse and its rescue by grounding also appear on real images with a classifier oracle — i.e. is the effect real, not a synthetic artefact?

Setup (Layer 1.5, real-data tier). The generative model is a convolutional VAE (the model in which generative collapse was first observed). Each generation a fresh VAE is trained from scratch on the previous VAE's own generated digits, plus a fraction g of fresh real MNIST images (grounding). K = 30 modes = digit class × stroke-thickness bin (S=3), Zipf-resampled so the rarest ~18 modes form a real tail. The oracle is a frozen CNN (digit class) + deterministic thickness bin; its mode accuracy ≈ 98.5% (recorded in manifest.json with the full 30×30 confusion matrix) is the measurement-noise floor. Two arms — dry (g = 0) vs grounded (g = 0.1) — n = 6000 images/generation, 15 generations, 4 replicates.

Symbols

  • mode = (digit class, stroke-thickness bin); p* = Zipf truth over the 30 modes; = the VAE's oracle-measured mode distribution.
  • g = grounding fraction (share of real MNIST images each generation). forward-KL = distance from truth; support = distinct modes alive; H = diversity; tail truth-mass alive = fraction of the rare tail retained.

The four panels (dry = red, grounded = green; band = 95% CI over 4 reps)

  1. Forward-KL. Dry climbs from ~0.5 to ~18 (the VAE drifts far from truth); grounded stays near the floor. Collapse is real on images.
  2. Support. Dry collapses from all 30 modes to ~1 (the VAE ends up emitting a single blurry mode); grounded holds all 30.
  3. Tail truth-mass alive. Dry's rare tail is wiped out (→ 0.06); grounded keeps the whole tail.
  4. Heterozygosity. Dry diversity → 0; grounded holds H ≈ 0.9.

See mnist_montage.png for the eyeball version: gen-0 digits are varied and recognisable; by gen 1215 the dry lineage has degenerated into one blurry blob.

Takeaway

Model collapse and its arrest by a small dose of real data reproduce on real MNIST images with a learned classifier oracle — external validity for the whole Layer-1.5 story. Note the VAE needs ~10% grounding here (vs ~5% for the synthetic histogram), consistent with the grounding finding that trained neural models need somewhat more grounding than the exact operator. This is confirmation-only (signs, not magnitudes; blueprint §3.5) — the exact synthetic oracle remains the anchor for every quantitative claim, and the oracle confusion matrix is the recorded noise floor. Falsifier (not triggered): if the dry VAE had shown no diversity loss, or grounding had failed to arrest it, the external-validity claim would fail.