docs: accessible figure legends (README.md) for all figures

One self-contained README.md per results/ figure folder (Layer 1 E1-E6
and Layer 1.5 bridge/collapse/grounding/architectures/recombination):
plain-language claim, setup, a compact symbol glossary, a panel-by-panel
walkthrough, and the takeaway + falsifier. Auto-renders when browsing the
folder; carries the honest caveats (grounding's ruler reframing, the
excluded VAE).

Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
This commit is contained in:
Giorgio Gilestro 2026-07-05 08:43:04 +01:00
parent b8da418034
commit 3b9f4f7893
11 changed files with 369 additions and 0 deletions

32
results/E1/README.md Normal file
View file

@ -0,0 +1,32 @@
# E1 — Distillation without grounding collapses, tail-first
**Claim tested:** if a model is trained only on the previous model's output, generation after
generation, does it lose knowledge — and does the *rare* knowledge go first?
**Setup (Layer 1, pure math).** A "population" of `K = 500` items with a fixed true frequency
`p*` shaped like a Zipf curve (a few common items, a long tail of rare ones). Each generation we
draw `n = 100` samples from the current model and refit — **no real data is ever added** (`g = 0`).
Run for 600 generations, averaged over 100 independent repeats.
### Symbols
- **`p*`** — the true frequencies (fixed reality). **`p_t`** — the model's frequencies at generation *t* (drifts).
- **`H`** heterozygosity = diversity (1 = everything equally likely, 0 = one item left). **`H*`** = diversity of the truth.
- **forward-KL** `D(p*‖p_t)` — how far the model has drifted from truth (0 = perfect, grows without bound as the tail is forgotten).
- **support** = how many items still have any probability. **head/tail** = common/rare items.
### The three panels
1. **Geometric decay.** Blue = the simulated diversity `H`; black dashed = the exact textbook law
`H₀·(1 1/n)^t`. They sit on top of each other — the loss of diversity is *exactly* the
population-genetics drift law, not an approximation. (This is the validation gate: if these two
curves disagreed, the simulator would be wrong.)
2. **Tail dies first** (log axis). Red = fraction of *rare* (tail) items still alive; green =
fraction of *common* (head) items still alive. The red curve plunges far faster — rare knowledge
is lost roughly an order of magnitude sooner than common knowledge.
3. **Collapse.** Purple (left axis, log) = number of distinct items surviving, falling from 500
toward ~1 (everything collapses onto a single dominant item). Orange (right axis) = forward-KL to
truth, diverging as the tail vanishes.
### Takeaway
Unchecked model-on-model training is a ratchet: diversity decays on a precise mathematical schedule,
and the rare tail is destroyed first. **Falsifier (not triggered):** if `H` had stayed flat, the
whole thesis would fail. It didn't.