E13: real-weight model speciation — the Git Re-Basin residual confirms E12
The real-weight image of E12, and the answer to the mode-connectivity reviewer. Small no-BN MLPs on MNIST, forked from a shared base and trained independently, are weight-averaged; we measure the linear-mode-connectivity barrier before and after in-house deterministic Git Re-Basin permutation alignment (neural/rebasin.py, scipy linear_sum_assignment), decomposing it into removable (coordinate artefact) and residual (reproductive isolation). kind: speciation_real. Result (3 reps): - shared (same task, shared fork): no barrier — trivially mergeable. - independent (same task, different init): naive 0.056, alignment removes 98% (residual 0.001) — the incompatibility is a coordinate artefact. - conflict (conflicting label maps): naive 0.496, alignment removes 0% (residual 0.496) — genuine reproductive isolation. Because alignment demonstrably works on the independent case, the conflict residual is real, not a failure to align. - Isolation cliff (speciation_real_cliff): residual rises 0.00->0.13->0.19->0.28-> 0.40->0.49 with the fraction of conflicting classes — the real-weight mirror of E12's cliff; residual==naive throughout (functional, not coordinate). rebasin.py sanity-gated (recovers a known permutation exactly). plot_speciation_real.py (2-panel), +4 pure-NumPy tests (142 green), README with honest positioning vs Git Re-Basin / Entezari / Frankle / Pari 2024 / Zhou 2026. Wired into make mnist (needs torchvision). Co-Authored-By: Claude Opus 4.8 <noreply@anthropic.com>
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configs/neural/speciation_real_cliff.yaml
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configs/neural/speciation_real_cliff.yaml
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experiment: speciation_real_cliff
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kind: speciation_real
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seed: 13
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n_replicates: 3
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# E13 (cliff) — the real-weight reproductive-isolation curve, mirroring E12's isolation cliff. Two MLPs
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# forked from a shared MNIST base; child B learns a CONFLICTING label map on a fraction `conflict_frac`
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# of the classes (the rest agree). Sweeping the conflict fraction traces the residual (after-alignment)
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# barrier from 0 (no conflict = same species) to its maximum (full conflict = fully isolated) — the
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# real-weight image of "the isolation cliff rises with epistasis". Alignment is applied throughout, so
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# the curve is the residual that permutation cannot explain away.
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speciation_real:
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sizes: [784, 512, 512, 10]
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conflict_fracs: [0.0, 0.2, 0.4, 0.6, 0.8, 1.0]
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t_div_fixed: 800
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base_steps: 500
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lr: 0.05
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batch: 128
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n_eval: 2000
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data_root: data
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output:
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dir: results/speciation_real_cliff
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