Giorgio Gilestro
ea051a5f92
E13c (the symmetry defense): alignment now runs modulo the FULL function-preserving unit symmetry group of a ReLU MLP (per-unit positive rescaling via canonicalise_scale, composed with Re-Basin permutations; sanity gate recovers a permuted-and-rescaled copy exactly). Verdict: the full group removes the independent-init barrier (residual 0.001) and essentially none of the conflict barrier (0.502 -> 0.497) — the residual is functional, not a missed symmetry (answers arXiv:2606.23607). The cliff gains a hybrid-fitness readout: merged accuracy 0.97 -> 0.03 with conflict. Floor proposition drafted (paper/si-notes.md S1): endpoint invariance + max(eps_A, eps_B) >= mu(S)/2 for any merged model under any alignment group. E13b (emergent divergence): pre-registered second reading — with NO conflicting training signal (disjoint class specialists; rolled-input conventions), residual is 0.000 at every divergence to t_div=3200, and the merge RESCUES the forgetting specialists (parents 0.535/0.474 -> merged 0.955; a sustained Fisher-Muller rescue at zero barrier). Speciation in real weights requires functional conflict; it does not emerge from compatible specialisation on shared ancestry. LLM-scale over-specialisation (cf. 2607.11997) deferred to Phase-3 llm_speciation. 3-panel figure, READMEs, +2 tests (149 green), make mnist wired. Co-Authored-By: Claude Fable 5 <noreply@anthropic.com> Claude-Session: https://claude.ai/code/session_01BkRLcc18rwT2Lysu6PbG7v
16 lines
1.3 KiB
Markdown
16 lines
1.3 KiB
Markdown
# E13b — Emergent divergence (no imposed conflict): does model speciation arise spontaneously?
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Companion to `results/speciation_real/` (full legend and interpretation there; figure panel C of
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`speciation_real.png`). Pre-registered design: `shared` control, `disjoint` (complementary class
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specialists 0–4 vs 5–9), `augment` (same labels, inputs rolled ±3 px) — **no conflicting training
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signal anywhere** — swept over post-fork divergence `t_div ∈ [100, 3200]`, 4 replicates, with
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alignment modulo the full ReLU unit symmetry group (E13c).
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**Outcome (the pre-registered second reading):** residual barrier **0.000 at every divergence in both
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emergent conditions**; the merged model **rescues** the two forgetting `disjoint` specialists
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(parents → 0.535/0.474; merge ≈ 0.955 throughout — a sustained Fisher–Muller rescue at zero barrier).
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**Speciation requires functional conflict; it does not emerge from compatible specialisation on shared
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ancestry in this regime.** An honest bound on the biological analogy, and a positive design result:
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merging complementary specialists of shared ancestry is safe — the danger is conflicting conventions,
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not specialisation. LLM-scale over-specialisation is the open tier (`llm_speciation`, PNAS work order
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Phase 3).
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