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Fig. 1: colour-separate theory from AI tiers; explain every empty cell

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Category separation per GG: population genetics stays blue, both AI tiers move
to shades of orange, with a wider gutter between the theory column and the AI
pair. The grounding x LLM cell is upgraded from "not tested" to "established
at LLM scale in prior work (21, 30); not re-run here" (Shumailov's Nature
collapse result; Gerstgrasser's real-data rescue) - it was never a gap, it was
already settled. The caption now states the fill principle: each claim is
tested at the cheapest tier that can falsify it; a costlier tier is entered
only where it adds a discriminating test, and the LLM society is the one
genuinely open cell.

Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
Claude-Session: https://claude.ai/code/session_01BkRLcc18rwT2Lysu6PbG7v
This commit is contained in:
Giorgio Gilestro 2026-09-07 11:35:59 +01:00
parent 5cb49943db
commit e9fb28d8c4
5 changed files with 25 additions and 12 deletions
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21
paper/pnas/make_figs.py
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@ -50,16 +50,16 @@ def fig1():
("Population genetics (exact)", "Wright\u2013Fisher simulator (NumPy)", "closed forms \u00b7 bitwise-reproducible",
"#3d7eb8", "#eaf2fa"),
("Trained networks", "RNN \u00b7 MLP \u00b7 VAE on a synthetic oracle;\nconvolutional VAE on MNIST",
"sign-level tests \u00b7 exact oracles", "#3f8f4f", "#edf8ea"),
"sign-level tests \u00b7 exact oracles", "#e97313", "#fdefe1"),
("Language models", "LoRA specialists on Qwen 0.5B & 7B;\nexact-match verifier",
"seed-replicated signs", "#d9650f", "#fdf0e6"),
"seed-replicated signs", "#b04e0c", "#fbe6d4"),
]
ROWS = [
("Grounding = immigration",
"fresh verified samples from a\nfixed external source enter the\ntraining mix every generation",
["immigration\u2013drift equilibrium:\n$g \\approx 0.05$ retains $\\geq$95% diversity;\nobservation floor $1-e^{-mp}$",
"collapse & rescue in every\narchitecture; MNIST: dry 30$\\to$1 modes,\n10% grounding holds 30/30;\nestimator-bias learning kernel",
None]),
"LIT:established at LLM scale in\nprior work (refs. 21, 30);\nnot re-run here"]),
("Recombination = sex",
"a child inherits from several\nparents, reassembling variants\nthat arose in different lineages",
["blending conservation law\n(first-order cancellation);\nunion-operator gain; Fisher\u2013Muller",
@ -86,12 +86,13 @@ def fig1():
ax.set_axis_off()
ax.set_xlim(0, 1)
ax.set_ylim(0, 1)
x0, gap = 0.205, 0.008
cw = (1.0 - x0) / 3
x0, gap, sep = 0.205, 0.008, 0.02 # sep: extra gutter between theory and the AI pair
cw = (1.0 - x0 - sep) / 3
xs = [x0, x0 + cw + sep, x0 + 2 * cw + sep]
row_h, row_top = 0.157, 0.805
for j2, (name, arch, guarantee, edge, face) in enumerate(TIERS):
x = x0 + j2 * cw
x = xs[j2]
ax.add_patch(FancyBboxPatch((x + gap, 0.825), cw - 2 * gap, 0.155,
boxstyle="round,pad=0.004", fc=edge, ec=edge, lw=1.4))
ax.text(x + cw / 2, 0.966, name, ha="center", va="top", fontsize=9.5,
@ -109,7 +110,7 @@ def fig1():
ax.text(0.0, y1 - 0.054, definition, ha="left", va="top", fontsize=6.2,
style="italic", color="#555", linespacing=1.35)
for j2, cell in enumerate(cells):
x = x0 + j2 * cw
x = xs[j2]
edge, face = TIERS[j2][3], TIERS[j2][4]
if cell is None:
ax.add_patch(FancyBboxPatch((x + gap, y0), cw - 2 * gap, y1 - y0,
@ -117,6 +118,12 @@ def fig1():
lw=0.8, ls=(0, (3, 2))))
ax.text(x + cw / 2, yc, "not tested at this tier", ha="center", va="center",
fontsize=6.4, style="italic", color="#999")
elif cell.startswith("LIT:"):
ax.add_patch(FancyBboxPatch((x + gap, y0), cw - 2 * gap, y1 - y0,
boxstyle="round,pad=0.004", fc="white", ec="#bbbbbb",
lw=0.8, ls=(0, (3, 2))))
ax.text(x + cw / 2, yc, cell[4:], ha="center", va="center",
fontsize=6.4, style="italic", color="#777", linespacing=1.35)
elif cell == "OPEN":
ax.add_patch(FancyBboxPatch((x + gap, y0), cw - 2 * gap, y1 - y0,
boxstyle="round,pad=0.004", fc="white", ec=edge,