From a40ace1821df067e9ee70f0d2aebbdb37ecd0a26 Mon Sep 17 00:00:00 2001 From: Giorgio Gilestro Date: Sun, 6 Sep 2026 17:55:46 +0100 Subject: [PATCH] second review round: tempered claims, robust statistics, corrected technical statements MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit Analyses (figures/stats_llm_epistasis.py, committed + reproducible): condition-clustered bootstrap CIs (functional measures exclude zero: dis_raw [+0.04,+0.69], conf-weighted [+0.02,+0.68]; gradient alignment [-0.59,-0.06]; geometry straddles zero), PAIRED predictor contrasts (not individually significant — stated), leave-one-condition-out held-out prediction (functional replicates, geometry ~0, performance baseline unstable), three outcome references (ordering sensitive to reference — reported, with the mechanism), between/within-axis decomposition (within-conflict identification impossible by design; the compat axis identifies), and seed-level paired reliability (routing/directed beat soup 3/3 seeds incl. one catastrophic soup failure; CI-width fragility claim withdrawn). Renames and corrections: "decisive experiment" -> "controlled predictive test"; "operational epistasis" -> "confidence-weighted functional conflict (proposed proxy)"; "functional by construction" -> "controls a major source of coordinate mismatch / conflict-associated" (module, configs, READMEs, figures); SI proposition's "chord" defined precisely (endpoint-loss interpolation, invariant) vs the path (not invariant) + no-global-optimality caveat (removable = lower bound, residual = upper); snowball count != performance cliff distinction added; claims table gains four rows (grid finding / weighting NOT supported / functional-vs- all-geometry not established / operator choice open); §1 ladder states the prediction rung as a bounded small-model result. paper/response-to-review-2.md: point-by-point, opening with the bookkeeping correction (E13b/c were in the reviewed draft — revised interpretation, not new results). READMEs rewritten around the four analyses with the chronology (prospective/adaptive/post-hoc) disclosed. 151 tests green. Co-Authored-By: Claude Fable 5 Claude-Session: https://claude.ai/code/session_01BkRLcc18rwT2Lysu6PbG7v --- configs/llm/speciation.yaml | 4 +- figures/plot_llm_epistasis.py | 20 +-- figures/plot_llm_speciation.py | 9 +- figures/stats_llm_epistasis.py | 108 ++++++++++++++++ paper/response-to-review-2.md | 146 ++++++++++++++++++++++ paper/si-notes.md | 15 ++- paper/the-evolution-of-sex-for-ai.md | 30 +++-- results/llm_epistasis/README.md | 122 +++++++++++------- results/llm_epistasis/llm_epistasis.pdf | Bin 27295 -> 26798 bytes results/llm_epistasis/llm_epistasis.png | Bin 181524 -> 194209 bytes results/llm_merge_seeds/README.md | 26 ++-- results/llm_moe_hard_seeds/README.md | 10 +- results/llm_speciation/README.md | 8 +- results/llm_speciation/llm_speciation.pdf | Bin 27792 -> 27496 bytes results/llm_speciation/llm_speciation.png | Bin 238597 -> 239611 bytes src/llm/epistasis.py | 6 +- src/llm/speciation.py | 9 +- 17 files changed, 418 insertions(+), 95 deletions(-) create mode 100644 figures/stats_llm_epistasis.py create mode 100644 paper/response-to-review-2.md diff --git a/configs/llm/speciation.yaml b/configs/llm/speciation.yaml index 5155b9a..f6ac87b 100644 --- a/configs/llm/speciation.yaml +++ b/configs/llm/speciation.yaml @@ -4,8 +4,8 @@ seed: 1 n_replicates: 1 # LLM-tier model speciation (E13 in language-model weights; PNAS work order Phase 3). Two LoRA -# children from the same frozen base — so there is NO permutation/rescaling ambiguity by construction: -# any merge failure is functional incompatibility, isolated architecturally. Two sweeps: +# children from the same frozen base — which controls a major source of coordinate mismatch (no +# alignment step needed), allowing a cleaner test of conflict-associated merge failure. Two sweeps: # conflict_fracs — the IMPOSED cliff: each child has a private disjoint family (A: strings, # B: arith) plus a shared set of AMBIGUOUS sort prompts ("Sort the list [...]", no direction) # answered ascending by A and descending by B (each convention harmless alone, contradictory diff --git a/figures/plot_llm_epistasis.py b/figures/plot_llm_epistasis.py index f67fc99..48a28b8 100644 --- a/figures/plot_llm_epistasis.py +++ b/figures/plot_llm_epistasis.py @@ -1,8 +1,9 @@ -"""The decisive-experiment figure — does pre-merge epistasis predict merge failure? +"""The controlled predictive test — does a pre-merge functional-conflict measure predict merge damage? -(A) The theory's predictor: operational epistasis (confidence-weighted bilateral disagreement, -measured before merging) against the merge penalty (parent potential − merged achieved, the -hybrid-load analogue). Conflict-axis pairs in red, duration-axis pairs in blue. +(A) The framework-motivated predictor: confidence-weighted functional conflict (bilateral confident +disagreement, measured before merging — a proposed proxy for merge-relevant interactions, not a +measured epistasis) against the merge penalty (oracle parent potential − merged achieved; ordering is +sensitive to the outcome reference — see stats_llm_epistasis.py). (B) The geometry predictor on the same outcome: weight divergence (LoRA-delta L2) — the matched-divergence contrast: the duration axis spans large weight divergence at ~zero penalty, while @@ -27,7 +28,7 @@ from scipy.stats import spearmanr sys.path.insert(0, str(Path(__file__).parent)) from _figlib import load_bundle, savefig # noqa: E402 -PREDICTORS = [("epi_conf", "operational\nepistasis"), +PREDICTORS = [("epi_conf", "conf-weighted\nfunctional conflict"), ("dis_raw", "raw\ndisagreement"), ("grad_cos", "gradient\nalignment"), ("delta_cos", "delta\ncosine"), @@ -59,8 +60,8 @@ def main() -> None: pass fig, axes = plt.subplots(1, 3, figsize=(16.5, 4.9)) - _scatter(axes[0], df, "epi_conf", "operational epistasis (pre-merge)", - "(A) the theory's predictor") + _scatter(axes[0], df, "epi_conf", "confidence-weighted functional conflict (pre-merge)", + "(A) the framework-motivated predictor") _scatter(axes[1], df, "delta_cos", "LoRA-delta cosine similarity (pre-merge)", "(B) the geometry predictor — does it detect\nincompatibility, or just task overlap?") @@ -77,8 +78,9 @@ def main() -> None: ax.set(ylabel="|Spearman ρ| vs merge penalty", ylim=(0, 1), title="(C) predictor league table (pre-merge only)") - fig.suptitle("Predicting merge failure BEFORE merging: functional conflict, not weight divergence " - "(conflict, overlap-without-conflict, and divergence decorrelated by construction; 3 seeds)", y=1.03, fontsize=12) + fig.suptitle("A controlled predictive test: across this task grid, pre-merge functional disagreement " + "predicted merge penalties; the selected weight-geometry baselines did not " + "(three axes decorrelated by construction; 13 conditions x 3 seeds)", y=1.03, fontsize=11.5) fig.tight_layout() savefig(fig, "results/llm_epistasis", "llm_epistasis") diff --git a/figures/plot_llm_speciation.py b/figures/plot_llm_speciation.py index fe1f822..33501e3 100644 --- a/figures/plot_llm_speciation.py +++ b/figures/plot_llm_speciation.py @@ -14,8 +14,9 @@ tracks its parents (conflict damage localised to the conflicted function) or fal model's private-family accuracy stays above the best parent at every duration. The MLP tier's "no emergent isolation" null generalises to LLM weights in this regime. -Because LoRA deltas share the frozen base's coordinates, none of this involves alignment ambiguity: -every failure shown is functional by construction. +The shared frozen base controls a major source of coordinate mismatch (LoRA deltas share its +coordinates), allowing a cleaner test of conflict-associated merging failure — though averaging can +still fail for non-conflict reasons (nonlinear interaction, scaling, capacity). Usage: python figures/plot_llm_speciation.py """ @@ -86,8 +87,8 @@ def main() -> None: ax.legend(frameon=False, fontsize=8) fig.suptitle("LLM-tier model speciation: conflict provokes function-specific hybrid breakdown; " - "no isolation emerges from duration alone (LoRA shares base coordinates — failures are " - "functional by construction)", y=1.03, fontsize=11.5) + "no isolation emerges from duration alone (shared base controls coordinate mismatch — " + "a cleaner test of conflict-associated failure)", y=1.03, fontsize=11.5) fig.tight_layout() savefig(fig, "results/llm_speciation", "llm_speciation") diff --git a/figures/stats_llm_epistasis.py b/figures/stats_llm_epistasis.py new file mode 100644 index 0000000..36a2919 --- /dev/null +++ b/figures/stats_llm_epistasis.py @@ -0,0 +1,108 @@ +"""Robust statistics for the controlled predictive test (source of the README numbers). + +Implements the second external review's four requested analyses (2026-08-11), from committed +artifacts only: + +1. condition-clustered bootstrap CIs for each predictor's Spearman rho, and PAIRED bootstrap + differences between predictors (a significant rho for one and not another is not a significant + difference — the paired contrast is the honest comparison); +2. sample-structure disclosure (13 conditions x 3 seeds = 39 rows; parents are retrained per + condition x seed but share task-data seeds across conditions within a seed, so rows are not + independent — hence clustering by condition); +3. between- vs within-axis decomposition (pooled correlations are partly axis discrimination); +4. the outcome under three references: oracle parent potential (pre-registered primary), + best parent, and mean parent — reported because the predictor ordering is sensitive to it. + +Plus leave-one-condition-out (LOCO) held-out prediction per predictor. + +Usage: python figures/stats_llm_epistasis.py +""" + +from __future__ import annotations + +import numpy as np +import pandas as pd +from scipy.stats import spearmanr + +PREDICTORS = ["epi_conf", "dis_raw", "grad_cos", "delta_cos", "delta_l2", "cross_perf"] + + +def load() -> pd.DataFrame: + a = pd.read_parquet("results/llm_epistasis/results.parquet") + b = pd.read_parquet("results/llm_epistasis_compat/results.parquet") + df = pd.concat([a, b], ignore_index=True) + df["cond"] = df["mode"] + "_" + df["x"].astype(str) + df["parent_a_overall"] = df[["pa_fam_a", "pa_fam_b", "pa_coh"]].mean(axis=1) + df["parent_b_overall"] = df[["pb_fam_a", "pb_fam_b", "pb_coh"]].mean(axis=1) + df["pen_oracle"] = df["merge_penalty"] # pre-registered primary + df["pen_best"] = df[["parent_a_overall", "parent_b_overall"]].max(axis=1) - df["merged_overall"] + df["pen_mean"] = df[["parent_a_overall", "parent_b_overall"]].mean(axis=1) - df["merged_overall"] + return df + + +def clustered_bootstrap(df: pd.DataFrame, outcome: str = "pen_oracle", B: int = 4000, seed: int = 0): + """Percentile CIs for each predictor's rho, resampling CONDITIONS (13 clusters) with replacement.""" + rng = np.random.default_rng(seed) + conds = df["cond"].unique() + groups = {c: df[df["cond"] == c] for c in conds} + boot = {p: np.empty(B) for p in PREDICTORS} + for i in range(B): + bs = pd.concat([groups[c] for c in rng.choice(conds, size=len(conds), replace=True)], + ignore_index=True) + for p in PREDICTORS: + boot[p][i] = spearmanr(bs[p], bs[outcome])[0] + return boot + + +def loco(df: pd.DataFrame, outcome: str = "pen_oracle"): + """Leave-one-condition-out held-out prediction (linear fit per predictor).""" + out = {} + for p in PREDICTORS: + pr, ac = [], [] + for c in df["cond"].unique(): + tr, te = df[df["cond"] != c], df[df["cond"] == c] + coef = np.polyfit(tr[p], tr[outcome], 1) + pr += list(np.polyval(coef, te[p])); ac += list(te[outcome]) + rho, pv = spearmanr(pr, ac) + out[p] = (rho, pv, float(np.sqrt(np.mean((np.array(pr) - np.array(ac)) ** 2)))) + return out + + +def main() -> None: + df = load() + print(f"sample: {df['cond'].nunique()} conditions x {df['seed'].nunique()} seeds = {len(df)} rows") + + print("\n== league table under three outcome references (Spearman rho) ==") + print(f"{'predictor':>11} {'oracle*':>8} {'best':>8} {'mean':>8} (*pre-registered primary)") + for p in PREDICTORS: + r = [spearmanr(df[p], df[o])[0] for o in ["pen_oracle", "pen_best", "pen_mean"]] + print(f"{p:>11} {r[0]:+8.3f} {r[1]:+8.3f} {r[2]:+8.3f}") + + boot = clustered_bootstrap(df) + print("\n== condition-clustered bootstrap 95% CIs (primary outcome) ==") + for p in PREDICTORS: + v = boot[p][~np.isnan(boot[p])] + print(f"{p:>11}: {spearmanr(df[p], df['pen_oracle'])[0]:+.3f}" + f" [{np.percentile(v, 2.5):+.3f}, {np.percentile(v, 97.5):+.3f}]") + + print("\n== paired bootstrap |rho| differences ==") + for a_, b_ in [("epi_conf", "dis_raw"), ("dis_raw", "delta_cos"), + ("dis_raw", "grad_cos"), ("epi_conf", "delta_cos")]: + d = np.abs(boot[a_]) - np.abs(boot[b_]); d = d[~np.isnan(d)] + print(f"|rho({a_})| - |rho({b_})|: {np.mean(d):+.3f}" + f" [{np.percentile(d, 2.5):+.3f}, {np.percentile(d, 97.5):+.3f}]") + + print("\n== leave-one-condition-out held-out prediction ==") + for p, (rho, pv, rmse) in loco(df).items(): + print(f"{p:>11}: LOCO rho={rho:+.3f} (p={pv:.3g}) rmse={rmse:.3f}") + + print("\n== between- vs within-axis ==") + print("mean penalty by axis:", df.groupby("mode")["pen_oracle"].mean().round(3).to_dict()) + c_df = df[df["mode"] == "conflict"] + for p in PREDICTORS: + r, pv = spearmanr(c_df[p], c_df["pen_oracle"]) + print(f"{p:>11} (conflict axis only, n={len(c_df)}): {r:+.3f} (p={pv:.2g})") + + +if __name__ == "__main__": + main() diff --git a/paper/response-to-review-2.md b/paper/response-to-review-2.md new file mode 100644 index 0000000..9e857d6 --- /dev/null +++ b/paper/response-to-review-2.md @@ -0,0 +1,146 @@ +# Response to the second review + +*This response accompanies a further revision. Every number below is reproduced by a committed script +(`figures/stats_llm_epistasis.py`) from committed artifacts; the revised documents are +`results/llm_epistasis/README.md` (rewritten around your four analyses), the manuscript, and +`paper/si-notes.md`.* + +--- + +## 0. A correction first (your §7) + +You are right, and we apologise for the bookkeeping error: the draft you reviewed **already +contained** the full-symmetry alignment experiment, the conflict residual, and the +compatible-specialisation null. Our previous letter's "new since the review" conflated three things +that we now state separately: **new results** (the LLM-tier speciation runs, the multi-seed +replication, and the controlled predictive test with its control axis), **new controls and analyses** +(the compatible-overlap axis; the robust statistics in this letter), and **revised interpretation** +(everything about E13b/c, which was experimental content you had already seen and whose *presentation* +we changed). The experimental delta attributable to the review process is the first and second +categories only. + +## 1. Your two-conclusion distinction — adopted as the evidential boundary + +We accept the boundary exactly as you drew it: + +- **Demonstrated:** a small-model, controlled predictive test in which pre-merge functional + disagreement predicted merge penalties where the selected weight-space measures did not. +- **Not demonstrated:** that an epistasis-specific predictor adds value beyond ordinary functional + disagreement, or that the prediction improves operator choice. + +The experiment is now titled a **"controlled predictive test"** everywhere ("decisive experiment +delivered" is gone), and the manuscript's §1 ladder describes the prediction rung in your conditional +formulation, with its four boundary clauses stated in place: constructed grid, small scale, refinement +not superior, operator choice open. The measure itself is renamed **"confidence-weighted functional +conflict — a proposed proxy for merge-relevant interactions"**; we accept that bilateral confident +contradiction measures incompatible endpoint behaviour, not non-additive interaction in the strict +biological sense, and the paper no longer calls any measured quantity "epistasis." Your distinction — +*the framework motivated the measurement and controls* vs *their success validates the specifically +population-genetic mechanism* — is adopted verbatim; we claim the former. + +## 2. The four analyses — run + +**(1) Direct predictor comparison.** Condition-clustered bootstrap (13 clusters, B = 4000), 95% CIs +for each predictor's ρ against the pre-registered primary outcome: + +| predictor | ρ | clustered 95% CI | +|---|---|---| +| raw functional disagreement | +0.460 | [+0.04, +0.69] | +| confidence-weighted functional conflict | +0.446 | [+0.02, +0.68] | +| gradient alignment | −0.347 | [−0.59, −0.06] | +| delta L2 | +0.165 | [−0.27, +0.58] | +| delta cosine | +0.030 | [−0.46, +0.51] | +| cross-family accuracy | −0.005 | [−0.29, +0.31] | + +**Paired contrasts are not individually significant** (e.g. |ρ(dis_raw)| − |ρ(delta_cos)| = +0.23, +CI [−0.23, +0.59]). Held-out prediction (leave-one-condition-out linear fits): functional measures +replicate (dis_raw ρ = +0.396, p = 0.013; conf-weighted +0.352, p = 0.028); geometry ≈ 0; the +performance baseline is unstable out-of-sample (−0.435). So the supported statement — now the +conclusion in the README, the figure title, and the manuscript — is yours: *across this controlled +grid, functional disagreement showed a detectable, held-out-robust association with merge penalty; +LoRA-delta cosine and L2 showed no statistically detectable association; gradient alignment carried +intermediate signal (its CI excludes zero), so this is not a clean functional-versus-all-geometric +divide; head-to-head predictor differences are not individually significant; only these baselines were +tested.* "Weight divergence does not predict merge failure" has been removed as over-broad. + +**(2) Sample structure.** 39 rows = **13 conditions × 3 seeds**. Parents are retrained per +condition × seed, but children share task-data seeds across conditions within a seed (e.g. the +duration-3 parent and the conflict-0 parent are trained on essentially the same data), so rows are not +independent — hence clustering by condition in all uncertainty estimates, disclosed in the README. + +**(3) Between- vs within-axis.** You were right that the pooled correlation is substantially axis +discrimination (mean penalty: conflict 0.061 vs compat 0.005 / duration 0.011). Within the conflict +axis (n = 15): functional measures +0.59/+0.62 — but delta-L2 is +0.71 there, because *within that +axis* conflict fraction, added-data volume, and delta growth are collinear: **within-axis +identification is impossible by design**, and we now say so; the identification comes from the control +axes, where the same volumes and L2 ranges occur at ~zero penalty. Scatterplots are coloured by axis +in the figure. Predicting penalties for a held-out *conflict mechanism* (not just held-out conditions +of the same mechanism) is listed as the next test — we agree it is the more valuable one. + +**(4) Outcome references.** Reported under all three: oracle parent potential (pre-registered +primary), best parent, and mean parent. The ordering is **sensitive to the reference** — under the +best-parent reference, delta-L2 correlates comparably to the functional measures (+0.48 vs +0.34). +Our reading, stated in the README rather than hidden: that reference inherits parent-strength trends +that track training volume, which geometry also tracks, coupling predictor and outcome through the +reference rather than through merge damage. On structural coupling between the disagreement predictor +and the oracle-potential outcome: probe and test sets are disjoint by construction, but we agree +definitional coupling through parental complementarity cannot be fully excluded, which is one more +reason all three references are now on the table. + +## 3. Hypothesis labels + +Your table is adopted essentially as written — the manuscript's claims-at-a-glance table now carries: +pre-merge disagreement predicts penalty (*empirical within the controlled grid*, with the boundary +clauses in the limits column); confidence weighting improves rank prediction (***not supported***); +functional beats all geometry (*not established — selected baselines only*); operator choice (*open*); +cliff, snowball, emergent DMIs (*hypotheses*, unchanged). We also added your snowball distinction +where the snowball is discussed: super-linear growth in incompatibility *count* does not by itself +entail a sharp *performance* cliff — that needs the count→effect-size→performance link, which the +analytic model supplies under its assumptions and any neural test must establish separately. + +## 4. The two technical statements — corrected + +**"Endpoints and chord are invariant."** Accepted; the ambiguity was ours. The SI proposition now +defines "chord" precisely as the α-linear interpolation **of the endpoint loss values** — the barrier +baseline, a function of endpoints only, which *is* invariant — and states explicitly that the +**weight-space interpolation path is generally not invariant** (that being precisely why alignment can +lower a barrier). It also now carries your second point: exact recovery of a permuted-and-rescaled +copy validates a special case and does not establish global optimality of the alignment for +independently trained networks — so the "removable" share is a lower bound and the "residual" an upper +bound, stated wherever the decomposition is used. + +**"Frozen base pins the coordinate system, so failure is functional by construction."** Accepted, and +your replacement wording adopted verbatim across the module, configs, READMEs, and figure: *the shared +frozen base controls a major source of coordinate mismatch, allowing a cleaner test of +conflict-associated merging failure* — with the boundary stated (failures of delta-averaging can still +reflect nonlinear interaction, scaling, or capacity). "Conflict-associated," not "functional by +construction," throughout. + +## 5. Chronology and reliability + +**Chronology (now a section of the README).** Prospective: hypotheses, predictors, primary outcome and +falsifiers were in the config before the first grid ran. Adaptive: the compatible-overlap control was +added *after* geometry appeared to win, with its own pre-stated readings, run on the same seeds; no +existing rows were re-run or altered. Post hoc: the clustered-bootstrap/LOCO/multi-reference analyses +were added at your request after all data was collected. We agree this is transparent adaptive +experimentation, not wholly prospective confirmation, and it is labelled as such. + +**Reliability.** The CI-width claim is withdrawn. The seed-level statement now reads: routing beat the +soup **in every seed** (3/3 paired, both metrics), directed selection beat the soup 3/3, and one seed +exhibited a catastrophic soup failure (0.071 overall, 0.000 worst-family) to which routing was immune +(0.262/0.225); seed-level sds (0.090 vs 0.023) are reported as an observation, with the explicit note +that three seeds do not support a variance estimate. + +## 6. On your bottom line + +We accept your formulation as the paper's claim for this line of work — it now closes the relevant +results section nearly verbatim: *we separated overlap, divergence, and conflict experimentally; in +this controlled setting, functional disagreement predicted merging damage when simple weight-distance +measures did not; the proposed epistasis refinement and the emergent-speciation mechanism remain +unconfirmed.* And we take the redirection about what would count next: not 0.5B → 7B alone, but +**generalisation to unfamiliar conflict structures** (a held-out conflict mechanism, and real rather +than constructed task pairs) and **a demonstrably better budget-matched merging decision**. Those two +now head the open-problems list, above the scale replication. + +We would welcome a third pass if you have the appetite — particularly on whether the README's +conditional conclusion and the chronology section read at the right strength. diff --git a/paper/si-notes.md b/paper/si-notes.md index 0bbf01d..4b414df 100644 --- a/paper/si-notes.md +++ b/paper/si-notes.md @@ -12,10 +12,17 @@ condition, the cyclically-relabelled classes; `μ(S) ≈ conflict_frac` up to cl networks, positive per-unit rescalings — the full unit symmetry group of a plain ReLU MLP) satisfies `T(B)(x) = B(x)` for all `x` by construction. -**Proposition 1 (endpoint invariance).** For every function-preserving `T`, the endpoint functions — -and hence the endpoint losses/errors and the linear chord between them — are identical for the pair -`(A, T(B))` and the pair `(A, B)`. Alignment can only re-coordinate the *interpolation path*, never -the endpoints or the chord. *(Immediate from the definition of function-preserving.)* +**Proposition 1 (endpoint invariance — with the term "chord" defined precisely).** Here "chord" +means the α-linear interpolation **of the endpoint loss values**, `(1−α)·L(A) + α·L(B)` — the +baseline in the barrier definition, a function of the endpoints only — NOT the weight-space +interpolation path. For every function-preserving `T`, the endpoint functions, hence the endpoint +losses and this chord, are identical for `(A, T(B))` and `(A, B)`. The **interpolation path itself is +generally NOT invariant** — losses along `(1−α)·A + α·T(B)` change with `T`, which is precisely why +alignment can lower a barrier. *(Immediate from the definition of function-preserving.)* Scope +caveat: our aligner provably recovers a permuted-and-rescaled copy exactly — an important special +case — but this does not establish global optimality of the alignment over the symmetry group for +independently trained networks; the decomposition's "removable" share is therefore a lower bound, and +the "residual" an upper bound, on their true values. **Proposition 2 (no merged model can serve both parents).** Let `h` be *any* single classifier (in particular, any interpolated/merged model, under any alignment). On every `x ∈ S`, `f_A(x) ≠ f_B(x)`, diff --git a/paper/the-evolution-of-sex-for-ai.md b/paper/the-evolution-of-sex-for-ai.md index 1faf92c..d73d694 100644 --- a/paper/the-evolution-of-sex-for-ai.md +++ b/paper/the-evolution-of-sex-for-ai.md @@ -164,10 +164,15 @@ different things are easily conflated: **interpretation** (an existing result is in these terms — e.g., merged offspring beating their parents as Fisher–Muller), **explanation** (the transferred mechanism accounts for observations existing accounts leave open — e.g., which merge failures are coordinate artefacts and which are functional), and **prediction** (the framework -forecasts an unmeasured outcome and improves a design decision — e.g., an epistasis measure taken -*before* merging that beats geometry-based predictors of merge success). This paper is strongest on -the first, makes concrete progress on the second, and states the third as its open, decisive test — -proposed here with pre-registered falsifiers, not claimed as done. The organising shift we argue for +forecasts an unmeasured outcome and improves a design decision). This paper is strongest on the +first, makes concrete progress on the second, and reports a first, bounded step on the third: a +**controlled predictive test** at small scale in which pre-merge *functional-disagreement* measures — +chosen by the framework — showed a detectable, held-out-robust association with merge damage on a +constructed task grid, while the selected weight-geometry baselines did not. We are precise about +that result's boundary where it is reported: it is a small-model demonstration on a constructed grid; +the proposed epistasis-specific refinement did not outperform plain disagreement; predictor +differences are not individually significant head-to-head; and whether the prediction improves a +budget-matched operator choice remains open. The organising shift we argue for is prior to any single mechanism: **treat multigenerational model populations as systems whose inheritance, diversity, and compatibility must be managed — not merely as collections of models to optimise.** @@ -470,9 +475,15 @@ cannot satisfy two contradictory answer conventions — is information-theoretic genetics; what the genetic frame adds is *structure around it*: which divergences generate such conflicts, the prediction that epistasis rather than distance sets the cliff's position, and the snowball's super-linear onset — the latter two verified so far only in the analytic model, and -therefore carried as **hypotheses at the neural tier, not results**. Second, our alignment removes the -symmetries we enumerate for this architecture class; richer transformation families for other -architectures could reapportion removable vs residual, though not below the conflict floor. Third, +therefore carried as **hypotheses at the neural tier, not results**. (On the snowball, one more +distinction: super-linear growth in the *number* of incompatibilities does not by itself entail a +sharp *performance* cliff — that needs the link from incompatibility count through effect sizes to +measured performance, which the analytic model supplies under its assumptions and any neural test +must establish separately.) Second, our alignment removes the symmetries we enumerate for this +architecture class, and exactly recovering a permuted-and-rescaled copy validates a special case +rather than proving global optimality for independently trained networks — so the removable share is +a lower bound and the residual an upper bound; richer transformation families for other architectures +could reapportion the split, though not below the conflict floor. Third, "unmergeable" here means by aligned linear interpolation of weights — a barrier to that operator does not preclude every conceivable recombination method (routing, for one, sidesteps it by not blending). Emergent Dobzhansky–Muller incompatibilities in real weights remain the flagship *hypothesis* of this @@ -770,7 +781,10 @@ falsifier, not yet established): | Outbreeding depression on rugged landscapes; operator design rule | Exact-model result; hypothesis at LLM scale | NK epistasis stands in for skill entanglement | E9–E10; directed selection rescues | Not yet mapped onto a real task-entanglement measure | | Optimal mate-pool breadth shrinks with ruggedness | Exact-model result; hypothesis for merging populations | Ring population, local selection | E14 | Phenomenon known to island-model evolutionary computation; our contribution is the mapping and the diversity/mean decomposition | | Merge failure decomposes into coordinate artefact + functional residual | Empirical (MLP tier; LLM tier in progress) | Alignment enumerates the architecture's unit symmetries | Full-symmetry residual ≈ 0 (compatible) vs ≈ naive (conflict); cliff in hybrid fitness | Scoped to aligned linear interpolation; conflict floor is information-theoretic, not genetic | -| Epistasis (not divergence) sets the cliff; snowball onset | Exact-model result; **hypothesis** at the neural tier | BDM incompatibility structure | E12 | The decisive pre-merge prediction test is proposed, not run | +| Epistasis (not divergence) sets the cliff; snowball onset | Exact-model result; **hypothesis** at the neural tier | BDM incompatibility structure | E12 | Snowball count ≠ performance cliff without the effect-size link; neural test outstanding | +| Pre-merge functional disagreement predicts merge penalty | Empirical, within a controlled grid (0.5B, 13 conditions × 3 seeds) | Constructed conflict/overlap/duration axes; oracle-potential outcome (pre-registered; ordering sensitive to reference) | Clustered CIs exclude 0; held-out LOCO ρ≈0.4; selected geometry baselines ≈ 0 | Head-to-head predictor differences not individually significant; only selected baselines; generalisation to real task pairs open | +| Confidence weighting improves rank prediction over raw disagreement | **Not supported** (pre-registered internal prediction) | — | Paired Δ\|ρ\| ≈ −0.02, CI [−0.13, +0.06] | Weighting does double the conflict-vs-compat level contrast | +| The predictor improves budget-matched operator choice | **Open** | — | Soup-vs-route gap readout noise-dominated at 0.5B | The practical payoff; untested | | Emergent speciation without conflict | **Not observed** (pre-registered) | Shared ancestry, compatible tasks, tested divergences | E13b: residual 0.000; merge rescues specialists | Bounds the hypothesis; longer horizons/distribution shift/capacity pressure untested | | Grounding + sex + diversity jointly necessary | Exact-model result; hypothesis at LLM scale | Conformity stands in for self-consumption | E11 four-arm ablation, each arm failing distinctly | The full grounded LLM society is unbuilt | diff --git a/results/llm_epistasis/README.md b/results/llm_epistasis/README.md index 09b21fd..fc8d9b7 100644 --- a/results/llm_epistasis/README.md +++ b/results/llm_epistasis/README.md @@ -1,52 +1,86 @@ -# The decisive experiment — predicting merge failure BEFORE merging +# A controlled predictive test — pre-merge functional conflict and merge penalty -The external review's bar (2026-08-11): population-genetic quantities must *predict*, not -re-describe — forecast merge success **pre-merge** and beat existing predictors. Design: 39 parent -pairs (0.5B LoRA children of one frozen base, 3 seeds) on **three axes decorrelated by -construction** — `conflict` (contradictory conventions on shared ambiguous prompts, private budgets -fixed), `compat` (the control: **same shared prompts, same convention** — task overlap *without* -conflict; added after the first grid exposed a confound, see below), and `duration` (weight -divergence with zero conflict, 1→12 epochs). Primary outcome (pre-registered): -**merge penalty** = parent potential − merged achieved (the hybrid-load analogue). Figure: +*(Renamed from "the decisive experiment" after the second external review: this is a **small-model +controlled predictive test**, not the decisive experiment delivered. The operator-choice component is +unfinished, the epistasis-specific refinement did not outperform plain disagreement, and +generalisation beyond this constructed task grid is open.)* + +**Question.** Can merge failure be predicted **before merging**, and by what kind of measure? Design: +39 rows = **13 conditions × 3 seeds** (0.5B LoRA children of one frozen base; parents are retrained +per condition × seed but share task-data seeds across conditions within a seed, so rows are *not* +independent — all uncertainty below is condition-clustered). Three axes decorrelated by construction: +`conflict` (contradictory conventions on shared ambiguous prompts, private budgets fixed), `compat` +(same shared prompts, same convention — overlap and volume without conflict), `duration` (weight +divergence with zero conflict). Primary outcome (pre-registered): **merge penalty vs oracle parent +potential** (per-component best of the parents); also reported vs best-parent and mean-parent +references. All robust statistics reproduce via `figures/stats_llm_epistasis.py`; figure: `llm_epistasis.png`. -### The league table (Spearman ρ vs merge penalty, full three-axis pool, n = 39) -| pre-merge predictor | ρ | p | reading | +### The predictors (measured pre-merge) +- **Confidence-weighted functional conflict** (`epi_conf`) — *a proposed proxy for merge-relevant + interactions* (previously "operational epistasis"; renamed because bilateral confident + contradiction measures incompatible endpoint behaviour, not non-additive interaction effects in the + strict biological sense). +- **Raw functional disagreement** (`dis_raw`) — the unweighted rate. +- **Gradient alignment** at the shared base (the ML-literature predictor, cf. 2601.22285); + **LoRA-delta cosine / L2** (weight geometry, exact in r-space); **cross-family accuracy** + (performance baseline). + +### The supported conclusion (stated conditionally) +> **Across this controlled task grid, pre-merge functional disagreement predicted merge penalties, +> whereas LoRA-delta cosine and L2 showed no statistically detectable association.** Gradient +> alignment carried intermediate signal, so the result is not a clean functional-versus-all-geometric +> divide, and only these selected baselines were tested. + +| predictor | ρ (primary) | clustered 95% CI | held-out (LOCO) ρ | |---|---|---|---| -| raw functional disagreement (`dis_raw`) | **+0.460** | 0.003 | predicts | -| operational epistasis (`epi_conf`, confidence-weighted) | **+0.446** | 0.004 | predicts | -| gradient alignment at the base (cf. 2601.22285) | −0.347 | 0.03 | weakly informative | -| LoRA-delta L2 distance (geometry) | +0.165 | 0.32 | uninformative | -| LoRA-delta cosine (geometry) | +0.030 | 0.86 | uninformative | -| cross-family accuracy (performance) | −0.005 | 0.98 | uninformative | +| raw functional disagreement | +0.460 | [+0.04, +0.69] | +0.396 (p=0.013) | +| confidence-weighted functional conflict | +0.446 | [+0.02, +0.68] | +0.352 (p=0.028) | +| gradient alignment | −0.347 | [−0.59, −0.06] | +0.10 (n.s.) | +| delta L2 (geometry) | +0.165 | [−0.27, +0.58] | −0.09 (n.s.) | +| delta cosine (geometry) | +0.030 | [−0.46, +0.51] | −0.14 (n.s.) | +| cross-family accuracy | −0.005 | [−0.29, +0.31] | −0.435 (unstable out-of-sample) | -**Headline: functional conflict, measured before merging, predicts merge failure; weight geometry -does not.** The duration axis spans the same weight-divergence range as the conflict axis -(L2 ≈ 2.4–4.0) at ~zero penalty, and the compat axis adds the same *data volumes* and overlap at -~zero penalty — so both geometric predictors collapse once overlap and volume are controlled. +**Paired comparisons are not individually significant** at this sample size (e.g. +|ρ(dis_raw)| − |ρ(delta_cos)| = +0.23, CI [−0.23, +0.59]): the honest statement is that the +functional measures are *individually detectably informative* (CIs exclude zero; held-out +replication) while the geometry measures are *not distinguishable from zero* — not that functional +significantly beats geometry head-to-head. -### The control that did the work (`llm_epistasis_compat/`) -In the first grid (conflict + duration only), `delta_cos` scored ρ = +0.60 — apparently the best -predictor. That was an **artifact**: every shared-data pair in that pool was a conflicted pair, so -geometry could win as a mere task-overlap/volume detector. The `compat` axis (overlap without -conflict) exposes it: penalty ≈ 0.005 there, and the geometry correlations collapse (+0.60 → +0.03). -The functional measures behave correctly on the control — parents trained on the same convention -*agree* on the shared prompts (epi_conf: 0.46 conflict vs 0.23 compat, a 2× contrast; raw -disagreement 0.72 vs 0.47, only 1.5× — the confidence weighting removes complementation noise from -the *level*, giving the cleaner axis separation). +### What the decomposition shows (and its limits) +- **Between vs within.** Much of the pooled correlation is axis discrimination (mean penalty: + conflict 0.061 vs compat 0.005 / duration 0.011). Within the conflict axis (n=15) the functional + measures still track (+0.59/+0.62) — but so does delta-L2 (+0.71), because *within that axis* + conflict fraction, added-data volume, and delta growth are collinear: **within-axis identification + is impossible by design; the identification comes from the control axes**, where the same volumes + and L2 ranges occur with ~zero penalty. +- **Outcome-reference sensitivity.** Under the *best-parent* reference the ordering changes + (delta-L2 +0.48 vs functional +0.34): that reference inherits parent-strength trends that track + training volume — which geometry also tracks — coupling predictor and outcome through the + reference rather than through merge damage. We keep the pre-registered oracle-potential primary, + and report the sensitivity rather than hide it. +- **The compat control did the decisive work** — and it *first broke our own experiment*: in the + initial two-axis grid the best predictor was delta-cosine (ρ=+0.60), an overlap/volume artifact + that the control exposed (collapse to +0.03). -### Honest riders (pre-registered falsifier status) -1. The internal prediction that confidence weighting would beat raw disagreement **as a rank - predictor is not confirmed**: `epi_conf` and `dis_raw` are statistically indistinguishable at - n = 39 (the weighting does improve the conflict-vs-compat *contrast* in levels). The paper reports - the functional-vs-geometric verdict, not a win for the refinement. -2. Correlations are moderate (|ρ| ≈ 0.45), bounded by 0.5B merge-outcome noise (soup merges carry - large intrinsic seed variance — see `llm_moe_hard_seeds`); read as signs and ordering, not - magnitudes. 7B replication is the natural firm-up. -3. Gradient alignment carries real signal (it differentiates conflicting conventions at the base) but - less than the functional measures in this design. +### Chronology (adaptive, not wholly prospective) +1. Hypotheses, predictors, primary outcome, and falsifiers written into `configs/llm/epistasis.yaml` + **before** the first grid ran (conflict + duration axes). +2. The first grid's geometry result prompted the `compat` control axis + (`configs/llm/epistasis_compat.yaml`, pre-registered readings in its comments) — an **amendment + after seeing data**, run on the same seeds; no conflict/duration rows were re-run or altered. +3. The clustered-bootstrap / LOCO / multi-reference analyses were added at the second review's + request, after all data was collected. -**Bottom line for the paper:** the framework's claim — *epistasis (functional conflict), not -divergence, sets merge compatibility* — survives its designed falsification test at this tier: the -operational conflict measures predict, the divergence measures do not, and the case was made honest -by a control that first *broke our own experiment's* favourite-looking geometric predictor. +### Pre-registered internal prediction: NOT confirmed +Confidence weighting was predicted to beat raw disagreement as a rank predictor. It does not (paired +Δ|ρ| = −0.02, CI [−0.13, +0.06]). The weighting does double the conflict-vs-compat *level* contrast +(2.0× vs 1.5×), but the present evidence favours **functional disagreement generally, not the +DMI-specific refinement**. Accordingly: the population-genetic framework motivated the measurement +and the controls; their success does **not** validate the specifically population-genetic mechanism. + +### Open (unchanged by this experiment) +Budget-matched operator choice (the soup-vs-route gap readout is noise-dominated at 0.5B); +generalisation to unfamiliar conflict structures and real task pairs; 7B replication; whether any +measured quantity deserves the name *epistasis* (non-additive interaction of combinations) rather +than *conflict*. diff --git a/results/llm_epistasis/llm_epistasis.pdf b/results/llm_epistasis/llm_epistasis.pdf index c2bc509ca02ff50b9470df89a5165d06dd61b76c..3ea395d667d9152f30c63cf4243b423b091e5793 100644 GIT binary patch delta 9703 zcmZvB2Rzl^|9{uW3YDv}uf4hVx-+Bfz4xBicFid3mc7>-8KEd6Bf6123lR}ng;dHa zlGKOff0fVY_f7xzbszVC^L1Y9yxv#Q3sB7{sP-I)MhcFRz+ezkXn+?KL@-Zf z?@OPvUN_uJ2)+S&^|&<^c|!4lIH-50>on-XRQSy+NkT(wYs9lu!?TfV1yk(@tnd)7ggx3fz&aiSJnm2+B1XN!(=uXL9wo_P(7lOx!q;}UWzp2Ch(PM 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0.024 worst-family; fusion soup 0.174 ± 0.102 / 0.088 -± 0.093; ties similar; best specialist 0.199 ± 0.026. Union beats fusion on both metrics — **and a new -finding: fusion is seed-FRAGILE on hard tasks (CI ±0.10) while routing is seed-stable (±0.026).** -Averaging's outcome depends on which specialist minima the seeds happened to find; selection-based -recombination is reliable. (Learned router still = oracle: lexically distinct families, known rider.) +Routing (union) beats fusion **in every seed** (3/3 paired, both metrics; e.g. overall per seed: +routing 0.258/0.300/0.262 vs soup 0.212/0.238/0.071). The paired per-seed values also show *why*: +seed 3's soup failed catastrophically (0.071 overall, 0.000 worst-family) while routing was unaffected +(0.262/0.225). Seed-level sd: soup 0.090 vs routing 0.023 — suggestive of a genuine variance +difference, but with 3 seeds this is an observation, not an estimate; the robust statement is the +3/3 paired ordering plus the observed catastrophic-failure mode that routing is structurally immune +to. (Learned router still = oracle: lexically distinct families, known rider.) ### (C) Directed offspring selection, hard, 3 seeds (`llm_directed_hard_seeds/`) -directed_overall 0.221 ± 0.026 (> soup 0.174 ± 0.102 and > best specialist); directed_balanced -worst-family 0.158 ± 0.036 (> soup 0.088 ± 0.093). Directed selection both beats and **stabilises** -the a-priori soup; per-input routing (B) remains above any single global blend, as before. +directed_overall beats the a-priori soup **in every seed** (3/3 paired; 0.225/0.242/0.196 vs +0.212/0.238/0.071 — including rescuing soup's catastrophic seed); directed_balanced worst-family +0.158 vs soup 0.088. Directed selection both beats and stabilises the blend (same 3-seed caveat as +panel B); per-input routing remains above any single global blend, as before. -**Read together:** all three recombination claims hold under seed replication, and the operator -ordering (route > directed-select > soup, on headroom tasks) is not only a mean effect but a -*variance* effect — the union/selection operators are the reliable ones. Base: Qwen2.5-0.5B-Instruct; +**Read together:** all three recombination claims hold under seed replication with consistent paired +ordering (route > directed-select > soup in every seed on headroom tasks), and the per-seed values +surface a failure mode — occasional catastrophic soup merges — that the union/selection operators +avoided in every observed case. Variance *estimates* await more seeds. Base: Qwen2.5-0.5B-Instruct; statistical (per-seed) reproducibility per blueprint §4. diff --git a/results/llm_moe_hard_seeds/README.md b/results/llm_moe_hard_seeds/README.md index b222667..c25538f 100644 --- a/results/llm_moe_hard_seeds/README.md +++ b/results/llm_moe_hard_seeds/README.md @@ -1,7 +1,7 @@ # Multi-seed union-vs-fusion, hard benchmark (0.5B, 3 seeds) -Part of the multi-seed firm-up; full legend, table, and the fusion-fragility finding in -`results/llm_merge_seeds/README.md` (panel B of its `llm_seeds.png`). Headline: union/routing -0.274 ± 0.026 > fusion 0.174 ± 0.102 overall (worst-family 0.238 vs 0.088), and fusion's ±0.10 CI vs -routing's ±0.026 is itself the finding — averaging is seed-fragile where headroom exists; routing is -reliable. +Part of the multi-seed firm-up; full legend and per-seed table in `results/llm_merge_seeds/README.md` +(panel B of its `llm_seeds.png`). Headline: routing beats fusion in every seed (3/3 paired, both +metrics), and one seed exhibited a catastrophic soup failure (0.071 overall / 0.000 worst-family) that +routing was immune to (0.262/0.225). With 3 seeds the variance contrast (sd 0.090 vs 0.023) is an +observation, not an estimate. diff --git a/results/llm_speciation/README.md b/results/llm_speciation/README.md index 4edcaed..bc3234d 100644 --- a/results/llm_speciation/README.md +++ b/results/llm_speciation/README.md @@ -1,8 +1,10 @@ # LLM-tier model speciation — conflict provokes isolation; duration alone does not -E13 carried into language-model weights (0.5B Qwen, LoRA children of one frozen base — which shares -its coordinate system with both children, so **there is no permutation/rescaling ambiguity by -construction: every merge failure here is functional**). Two knobs, pre-registered readings in the +E13 carried into language-model weights (0.5B Qwen, LoRA children of one frozen base — the shared +base **controls a major source of coordinate mismatch**, allowing a cleaner test of +conflict-associated merge failure; averaging can still fail for non-conflict reasons — nonlinear +interaction, scaling, capacity — so failures here are *conflict-associated*, not automatically +functional). Two knobs, pre-registered readings in the configs; figure `llm_speciation.png` (3 panels; panel B from `results/llm_speciation_add/`). **Design.** Child A: private family `strings`; child B: private family `arith`; shared **ambiguous diff --git a/results/llm_speciation/llm_speciation.pdf b/results/llm_speciation/llm_speciation.pdf index b4844a9aaef905b975b10537792d8eccda35d084..ef671e4aad927a862a1f4866ed1930fdae557d49 100644 GIT binary patch delta 9383 zcmZu$cRbbK|L;cjzE&+2nz;$LDIy@t9%bL&aF8|YMs2w+AF-uwE}!hLi24ZxWHPOYukh}hR=+g zDbh`}i5l6vg)p8@(G*`Ae6d&~SWKgLgOA-e{kpE`MT+$ef?eaU&G94^;-<^aH?FpK zKZZyTV+4MIh(6k=J&L^@rKJtTb^xMmBZJ4DaRQ5SEl=qxAS@DJp<|^e`6G@rcoHLU z3^NRADshQ#)GG@ZH7-?~^$De+4XLDqJB<{+U*x#;K3mVgA4r?HLHYRyUPKw`xFGIx z1R3a{*MH1|MNESUpjX3%cmXt1?6*>9X}|7%nAO=1S*#W?z0qhq;7Q0A02!a@RN&p+ z{`7kN{o?v|Ncb?(GvWv1SMI$p5!?O|g#zkr;<;1*3ij zZbwKSpVEZs_@TpHsMjz{@bog|=RWg}zEpJW=ep85Kg zaj%RdAHCRODVyxhd@KLQWC%0$w(&f-UPait_xB*#J&o@Tt$WQopN3|;GJ-u>N{-*J 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