From e9fb28d8c4a89c51414563bdda8aaad76ae874fa Mon Sep 17 00:00:00 2001 From: Giorgio Gilestro Date: Mon, 7 Sep 2026 11:35:59 +0100 Subject: [PATCH] Fig. 1: colour-separate theory from AI tiers; explain every empty cell 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 Claude-Session: https://claude.ai/code/session_01BkRLcc18rwT2Lysu6PbG7v --- paper/pnas/body.tex | 2 +- paper/pnas/build.py | 14 ++++++++++---- paper/pnas/figs/fig1.pdf | Bin 54123 -> 56742 bytes paper/pnas/main.pdf | Bin 351262 -> 354051 bytes paper/pnas/make_figs.py | 21 ++++++++++++++------- 5 files changed, 25 insertions(+), 12 deletions(-) diff --git a/paper/pnas/body.tex b/paper/pnas/body.tex index 54c0dff..9540d5f 100644 --- a/paper/pnas/body.tex +++ b/paper/pnas/body.tex @@ -20,7 +20,7 @@ An operator of a model population faces recurring decisions for which there is n \begin{figure*}[p]\centering % fig1 \includegraphics[width=\textwidth]{figs/fig1.pdf} -\caption{The experimental programme. Each population-genetic abstraction (Table 1) is tested at up to three tiers, ordered left to right by increasing realism: an exact Wright--Fisher simulator over knowledge distributions (closed forms; bitwise-reproducible), trained neural networks measured against exact oracles (recurrent, feedforward, and variational-autoencoder generators on a synthetic mode universe, and a convolutional VAE on MNIST), and language models (LoRA specialists on Qwen bases at 0.5B and 7B, scored by an exact-match verifier). The same population-genetic abstractions are carried across the three tiers. Rows are the framework's mechanisms, each defined at the left margin; filled cells name the experiments run at each tier; dashed cells were not tested, and the composed society at language-model scale is the paper's stated gap.}\label{fig1} +\caption{The experimental programme. Each population-genetic abstraction (Table 1) is tested at up to three tiers, ordered left to right by increasing realism: an exact Wright--Fisher simulator over knowledge distributions (closed forms; bitwise-reproducible), trained neural networks measured against exact oracles (recurrent, feedforward, and variational-autoencoder generators on a synthetic mode universe, and a convolutional VAE on MNIST), and language models (LoRA specialists on Qwen bases at 0.5B and 7B, scored by an exact-match verifier). Colour separates the two categories: the population-genetic theory tier in blue, the two AI-model tiers in oranges. The same abstractions are carried across all three. Rows are the framework's mechanisms, each defined at the left margin; filled cells name the experiments run at each tier. Each claim is tested at the cheapest tier that can falsify it, and a costlier tier is entered only where it adds a discriminating test rather than a replication: grounding at language-model scale is established in prior work (21, 30) and is not re-run; epistasis and the society skip the middle tier, whose distinctive value (exact oracles) does not bear on those operator-level questions; and the society at language-model scale is the integrative experiment this paper specifies but does not run --- its stated gap.}\label{fig1} \end{figure*} \section*{The minimal model, and where its exactness ends} diff --git a/paper/pnas/build.py b/paper/pnas/build.py index 7bf9eb7..18b1b5a 100644 --- a/paper/pnas/build.py +++ b/paper/pnas/build.py @@ -28,10 +28,16 @@ FIGURES: dict[str, tuple[list[str], str]] = { "trained neural networks measured against exact oracles (recurrent, feedforward, and " "variational-autoencoder generators on a synthetic mode universe, and a convolutional VAE on " "MNIST), and language models (LoRA specialists on Qwen bases at 0.5B and 7B, scored by an " - "exact-match verifier). The same population-genetic abstractions are carried across the " - "three tiers. Rows are the framework's mechanisms, each defined at the left margin; filled " - "cells name the experiments run at each tier; dashed cells were not tested, and the composed " - "society at language-model scale is the paper's stated gap."), + "exact-match verifier). Colour separates the two categories: the population-genetic theory " + "tier in blue, the two AI-model tiers in oranges. The same abstractions are carried across " + "all three. Rows are the framework's mechanisms, each defined at the left margin; filled " + "cells name the experiments run at each tier. Each claim is tested at the cheapest tier that " + "can falsify it, and a costlier tier is entered only where it adds a discriminating test " + "rather than a replication: grounding at language-model scale is established in prior work " + "(21, 30) and is not re-run; epistasis and the society skip the middle tier, whose " + "distinctive value (exact oracles) does not bear on those operator-level questions; and the " + "society at language-model scale is the integrative experiment this paper specifies but does " + "not run --- its stated gap."), "fig2": (["paper/pnas/figs/fig2.pdf"], "Grounding is immigration. 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