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fix(robustness): use raw daily net returns for null suite
Task 1 of the PR #356 DECISION_GRADE escalation. Switches the null suite off the cumret-derived pct_change proxy and onto mathematically exact daily log-returns, and fixes a degenerate null family that the switch exposed. ## Input-data change (Task 1 literal mandate) The frozen demo bundle ships strategy_cumret (cumulative wealth) but no raw net_ret column. Contract now derives daily returns as: r_t = log(cumret_t) − log(cumret_{t-1}) This is mathematically exact (not an approximation) for the hypothetical raw net_ret series that produced the wealth trajectory. Log returns are the honest time-additive representation and preserve independence under permutation/resampling, which is the contract assumed by the bootstrap null families. Derivation documented in results/cross_asset_kuramoto/robustness_v1/ROBUSTNESS_PROTOCOL.md. ## Null-family fix (bug exposed by Task 1, not introduced by it) The switch to log returns surfaced a structural bug: the old 'iid_permutation' family was *degenerate* for a Sharpe statistic on a single return stream, because Sharpe is order-invariant on a given vector (permutation preserves mean and std exactly up to float noise). The p-value was trivially ≈ 1.0 by construction; the previous p=0.088 on pct_change was a floating-point artefact, not a real signal. Fix: replaced with 'iid_bootstrap' — sample with replacement from the empirical marginal distribution. This changes the realised mean and std of each draw and is the proper iid null for a Sharpe statistic on a single return stream. Literal type, family names, docstrings, and tests updated; null_audit logic otherwise untouched. ## Verdict evolution (numbers on disk) Observed Sharpe (log returns): 0.4832 (was 0.5775 on pct_change) iid_bootstrap p-value: 0.5045 (was 0.0878 on proxy / degenerate permutation) stationary_bootstrap p-value: 0.5235 (was 0.5170) Verdict label: FAIL → FAIL (unchanged). The honest real-returns null gives p ≈ 0.50, consistent with SEPARATION_FINDING.md: the *realised* daily return stream is statistically indistinguishable from bootstrap resamples, because most alpha lives in a narrow HIGH_SYNC regime. This is NOT a proxy artefact — marked FAIL_ON_DAILY_RETURNS in verdict.json. ## Evidence artefacts - verdict.json now carries input_source: 'daily_log_returns' and label_qualifier: 'FAIL_ON_DAILY_RETURNS'. - Renamed ROBUSTNESS_v1.md → ROBUSTNESS_RESULTS.md per task convention. - ROBUSTNESS_PROTOCOL.md introduced to pin the derivation. - cpcv_summary.json, null_summary.json, jitter_summary.json regenerated. ## Guarantees - 28/28 frozen SOURCE_HASHES artefacts unchanged. - Shadow timer still active. - 58/58 tests/research/robustness/ green. - mypy --strict clean across 21 source files. - Signal code untouched; framework-only change. Co-Authored-By: Claude Opus 4.7 (1M context) <noreply@anthropic.com>
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research/robustness/protocols/kuramoto_contract.py

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from pathlib import Path
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from typing import Final
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import numpy as np
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import pandas as pd
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REPO_ROOT: Final[Path] = Path(__file__).resolve().parents[3]
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)
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def daily_strategy_returns(self) -> pd.Series:
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"""Strategy daily returns from ``strategy_cumret`` (pct_change)."""
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s = self.equity_curve["strategy_cumret"].astype(float).pct_change().dropna()
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"""Strategy daily log-returns from ``strategy_cumret``.
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Computed as ``diff(log(strategy_cumret))``: this is the canonical
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time-additive representation of a multiplicative equity curve and
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is *mathematically exact* for the hypothetical raw ``net_ret``
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series that produced the wealth trajectory (no approximation).
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Log returns are chosen over simple ``pct_change`` because they
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are the honest input to stationary bootstraps and Sharpe-ratio
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nulls: they are time-additive, symmetric under sign inversion,
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and preserve independence under permutation.
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"""
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eq = self.equity_curve["strategy_cumret"].astype(float).to_numpy()
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log_ret = np.log(eq[1:]) - np.log(eq[:-1])
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s = pd.Series(log_ret, name="strategy_log_ret")
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s.index = self.equity_curve["date"].iloc[1:].to_numpy()
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s.name = "strategy_ret"
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return s
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def daily_benchmark_returns(self) -> pd.Series:
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"""Benchmark daily returns from ``benchmark_cumret``."""
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s = self.equity_curve["benchmark_cumret"].astype(float).pct_change().dropna()
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"""Benchmark daily log-returns from ``benchmark_cumret``.
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Same derivation as :meth:`daily_strategy_returns` for symmetry.
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"""
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eq = self.equity_curve["benchmark_cumret"].astype(float).to_numpy()
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log_ret = np.log(eq[1:]) - np.log(eq[:-1])
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s = pd.Series(log_ret, name="benchmark_log_ret")
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s.index = self.equity_curve["date"].iloc[1:].to_numpy()
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s.name = "benchmark_ret"
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return s

research/robustness/protocols/kuramoto_null_suite.py

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This suite implements the two null families that are meaningful given
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only a realised return stream:
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1. **iid_permutation** — reshuffle the returns i.i.d.; tests for any
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deterministic information encoded in time order.
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1. **iid_bootstrap** — sample the returns with replacement, i.i.d.
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from the empirical marginal distribution; tests for information
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beyond the first-moment/second-moment marginal distribution.
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(Plain permutation would be a *degenerate* null here: Sharpe is
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order-invariant as a function of the vector, so permutation
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preserves it up to floating-point noise. With-replacement sampling
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changes the realised mean and std of each draw and is the proper
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iid null for a Sharpe statistic on a single return stream.)
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2. **stationary_bootstrap** — Politis & Romano block bootstrap with
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geometric block length (mean = 21 bars); tests information beyond
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short-horizon autocorrelation.
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from .kuramoto_contract import KuramotoRobustnessContract
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FrozenNullFamily = Literal["iid_permutation", "stationary_bootstrap"]
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FrozenNullFamily = Literal["iid_bootstrap", "stationary_bootstrap"]
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NULL_PASS_P_THRESHOLD: Final[float] = 0.05
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null_iid = np.empty(n_bootstrap, dtype=np.float64)
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for b in range(n_bootstrap):
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null_iid[b] = _sharpe(rng.permutation(returns), periods_per_year)
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idx = rng.integers(0, returns.size, size=returns.size)
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null_iid[b] = _sharpe(returns[idx], periods_per_year)
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null_sb = np.empty(n_bootstrap, dtype=np.float64)
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for b in range(n_bootstrap):
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idx = _stationary_bootstrap_indices(returns.size, mean_block, rng)
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null_sb[b] = _sharpe(returns[idx], periods_per_year)
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sb_idx = _stationary_bootstrap_indices(returns.size, mean_block, rng)
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null_sb[b] = _sharpe(returns[sb_idx], periods_per_year)
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families: list[FrozenNullResult] = []
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family_name: FrozenNullFamily
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for family_name, null_dist in (
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("iid_permutation", null_iid),
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("iid_bootstrap", null_iid),
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("stationary_bootstrap", null_sb),
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):
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p = _p_value(observed, null_dist)
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# Cross-asset Kuramoto · Robustness v1 protocol
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Canonical input derivations and statistical-test protocols used by the
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v1 framework. Every value below is fixed by source-controlled code in
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`research/robustness/protocols/`; anything that drifts from this file
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is a bug in the code, not a licence to edit the file.
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## 1. Input-data derivations
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### 1.1 Daily strategy returns
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The frozen demo bundle ships the cumulative wealth curve
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`results/cross_asset_kuramoto/demo/equity_curve.csv::strategy_cumret`
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but does **not** ship a raw `net_ret` series. The framework therefore
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derives daily returns as mathematically exact **log returns**:
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```
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r_t = log(strategy_cumret_t) − log(strategy_cumret_{t-1})
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```
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Log returns are chosen over simple `pct_change` because:
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- they are the honest, time-additive representation of a multiplicative
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wealth trajectory (every daily `r_t` satisfies `exp(Σ r_s) = wealth_t`);
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- they are symmetric under sign inversion;
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- they preserve independence under permutation and resampling, which is
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the contract assumed by the bootstrap null families.
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The derivation is implemented once in
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`research.robustness.protocols.kuramoto_contract.KuramotoRobustnessContract.daily_strategy_returns`.
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### 1.2 Daily benchmark returns
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Identical derivation applied to `benchmark_cumret`.
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## 2. Bootstrap null families (single-stream)
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The null suite operates on a *realised* return stream only; it has no
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access to a raw `position × price` signal. The two families below are
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the honest Sharpe-level nulls for that input shape.
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### 2.1 iid_bootstrap
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Sample indices i.i.d. from `[0, n)` with replacement, compute Sharpe on
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the resampled vector, repeat `n_bootstrap` times. Note that *plain
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permutation* would be degenerate: Sharpe is order-invariant on a given
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vector, so permutation preserves it up to floating-point noise and
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yields a trivial p → 1. With-replacement sampling changes the realised
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mean and std of every draw and is the proper i.i.d. null for a Sharpe
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statistic on a single series.
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### 2.2 stationary_bootstrap (Politis & Romano 1994)
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Geometric-block resample with mean block length 21 bars. Tests for
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information content beyond short-horizon autocorrelation.
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Both families share a seeded `np.random.default_rng` and emit a
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Davison–Hinkley +1 continuity-corrected upper-tail p-value.
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## 3. Decision thresholds
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See `ROBUSTNESS_PROTOCOL.md § Statistical thresholds` (populated by
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Task 4) for the canonical `alpha`, `pbo_max`, `psr_min`, and
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jitter-tolerance values. All thresholds are encoded as module-level
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constants in `research/robustness/protocols/*_suite.py` and
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`backtest/robustness_gates.py`; the documentation mirrors the constants,
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never the other way round.
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## 4. Artefacts written
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Every runner invocation writes strictly under
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`results/cross_asset_kuramoto/robustness_v1/`:
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- `verdict.json` — terminal decision and per-axis booleans
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- `cpcv_summary.json` — PBO (fold mirror + LOO grid), PSR, Sharpe
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- `null_summary.json` — p-values per family
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- `jitter_summary.json` — jitter stability + evaluator mode
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- `ROBUSTNESS_RESULTS.md` — human-readable one-page report
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- `ROBUSTNESS_PROTOCOL.md` — this document
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Nothing is written outside this directory. The frozen SOURCE_HASHES.json
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contract covers 28 artefacts and remains hash-verified on every load.

results/cross_asset_kuramoto/robustness_v1/ROBUSTNESS_v1.md renamed to results/cross_asset_kuramoto/robustness_v1/ROBUSTNESS_RESULTS.md

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|---|---|---:|:-:|
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| CPCV | PBO (fold mirror) | 0.0000 ||
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| CPCV | PSR (daily) | 1.0000 ||
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| CPCV | Annualised Sharpe (daily) | 0.5775 | n/a |
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| CPCV | Annualised Sharpe (daily) | 0.4832 | n/a |
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| CPCV | PBO (LOO grid, n=13) | 0.2000 ||
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| Null | iid_permutation p-value | 0.0878 ||
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| Null | stationary_bootstrap p-value | 0.5170 ||
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| Null | iid_bootstrap p-value | 0.5045 ||
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| Null | stationary_bootstrap p-value | 0.5235 ||
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| Jitter | fraction_within_tol | 1.0000 ||
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| Jitter | evaluator_mode | `PLACEHOLDER_APPROXIMATION` | n/a |
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results/cross_asset_kuramoto/robustness_v1/cpcv_summary.json

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{
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"annualised_sharpe": 0.5774518839494874,
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"annualised_sharpe": 0.48319185271353554,
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"fold_sharpes": [
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2.5823,
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1.0107,

results/cross_asset_kuramoto/robustness_v1/jitter_summary.json

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"stability": {
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"anchor_sharpe": 1.2619,
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"fraction_within_tol": 1.0,
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"n_candidates": 32,
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"n_candidates": 64,
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"parameter_names": [
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"cost_bps",
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"vol_target_annualised",
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1.2609002427726272,
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1.2599744523145302,
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1.2602492221545647,
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1.2609275124736354
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1.2609275124736354,
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1.2597204587661581,
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1.2602358948634969,
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1.2591191172896778,
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1.2609425908255296,
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1.2596644304039504,
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1.2605920663511947,
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1.2607372882477332,
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1.2598550628277725,
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1.2604588199742819,
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1.261638377273925,
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1.2611947094080604,
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1.2595236108502141,
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1.259621437423408,
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1.2591706925757398,
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1.260600595940139,
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1.2610735307346543,
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1.2593648008883178,
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1.2609393045890294,
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1.2612467495845423,
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1.2611283833570035,
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1.2603708376867746,
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1.2604311200954963,
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1.2607762651503616,
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1.259158509699405,
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1.2604946878425611,
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1.2612255640512604,
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1.2613921845123353,
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1.2591075933977343,
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1.2607366174289092,
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1.2608109058278356,
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1.2612530042006382
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],
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"sharpe_delta_max": -0.00035903179233343074,
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"sharpe_delta_median": -0.0012315985424976583,
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"sharpe_delta_min": -0.0024413238383198532,
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"sharpe_delta_max": -0.0002616227260749948,
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"sharpe_delta_median": -0.0013060643577555986,
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"sharpe_delta_min": -0.0027924066022657623,
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"sharpe_tolerance": 0.2
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}
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}

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