# The evolution of sex for artificial intelligence A population-genetic framework for multigenerational model populations. Knowledge transmission between generations of learning agents is modelled *literally* as a Wright–Fisher process, not by analogy: a model's knowledge is a distribution `p_t` over `K` discrete items, a fixed true distribution `p*` has a rare tail, and each generational step is "sample from the parent (drift) + mix in fresh real samples (grounding/immigration) + refit". Model collapse is the loss of rare alleles under drift — and the remedies population genetics knows for drift (immigration, recombination, selection, population structure) become engineering levers for model populations. The framework is developed at three tiers of increasing realism: | Tier | What it is | Hardware | |---|---|---| | **Inheritance model** | Wright–Fisher simulator over knowledge distributions; closed forms, bitwise reproducible | laptop | | **Trained networks** | RNN / MLP / VAE on a synthetic mode universe with an exact oracle; convolutional VAE on MNIST | one GPU | | **Language models** | LoRA specialists on Qwen2.5-Instruct (0.5B / 7B) with an exact-match verifier | one GPU / L40S | ## Reproduce **Start here: [`REPRODUCING.md`](REPRODUCING.md)** — the authoritative map from every manuscript figure panel back to the artifact, config, and seed that produced it, plus the determinism policy and artifact-hash verification. ```bash curl -LsSf https://astral.sh/uv/install.sh | sh # one-time, if needed ./reproduce.sh # env -> tests -> inheritance-model tier at committed seeds -> figures ./reproduce.sh --with-gpu # ... and the trained-network + language-model tiers ``` Or tier by tier: ```bash make env # build .venv from the committed, hash-pinned uv.lock make test # correctness + closed-form scientific validation (the spine of trust) make inheritance # the inheritance model, every experiment at its committed seed make figures # per-experiment figures, from committed parquets (no re-simulation) make paper-figures # the manuscript's Fig. 1-5 + rebuild the PDF bodies ``` `make help` is not defined, but every target carries a `##` description — `grep '##' Makefile`. ## Notebooks ```bash make env-notebooks && jupyter lab notebooks/ ``` - `01_biological_model.ipynb` — builds the Wright–Fisher model from scratch, checks it against the closed forms (geometric diversity decay, the immigration–drift equilibrium), and derives the grounding threshold and its per-item observation floor. Runs on a laptop in under a minute. - `02_paper_figures.ipynb` — verifies artifact hashes, then regenerates and displays every manuscript figure from the committed artifacts. ## Layout ``` src/inheritance/ inheritance-model tier (imported as `inheritance`) src/neural/ trained-network tier src/llm/ language-model tier configs/ one YAML per experiment: inheritance/ neural/ llm/ (each declares its master seed) figures/ plot_*.py — per-experiment diagnostics, read results.parquet only paper/manuscript/ the manuscript: main.md, si.md, make_figs.py (Fig. 1-5), si_figures.py, build.py notebooks/ executable walkthroughs hpc/ PBS job scripts for the 7B tier (Imperial CX3) tests/ correctness + test_scientific_validation.py (the closed forms as assertions) results/ run artifacts: results.parquet (gitignored) + resolved_config.yaml + manifest.json; bundles are named after the manuscript figure they feed (fig2_*, figS4_*) ``` Development history, design documents, pre-registrations and exploratory experiments that did not reach the manuscript live on the `dev` branch; `main` holds only what reproduces the paper. ## The engineering contract - **Reproducibility is a requirement, not a preference.** The environment is a `uv` venv built from a committed, hash-pinned `uv.lock`; the biological-model tier is bitwise reproducible from a single master seed, and the GPU tiers are statistically reproducible with per-seed points reported. - **One master seed per config**, with all sub-randomness derived via `SeedSequence.spawn`. No code touches global RNG state; a run is a pure function of its resolved config. - **No magic numbers in code.** Every parameter lives in a YAML resolved at run time, and the resolved config is written next to the results. - **Every run writes the same triple:** `results.parquet` + `resolved_config.yaml` + `manifest.json` (seed, git commit, library versions, row count, SHA-256 of the results). - **Every figure is a pure function of a committed artifact** — figure scripts never re-simulate. - **The scientific-validation tests are the spine of trust.** They assert that the simulator reproduces the closed forms to within 0.5%. If they fail, the science is wrong, not just the code.