feat: quant validation framework — DSR, PSR, Haircut, regimes, walk-forward
Three-module quant framework replacing 'sort by Sharpe' with proper statistical validation: quant/significance.py (15 tests): - deflated_sharpe_ratio(): adjusts for N trials (Harvey & Liu 2015) - probabilistic_sharpe_ratio(): P(True SR > benchmark) given T, skew, kurt - sharpe_haircut(): expected OOS Sharpe after selection bias deflation - QuantVerdict: DEPLOY / SIMULATE / DISCARD with 5-point scoring - validate_strategy(): one-shot validation function quant/regimes.py (8 tests): - classify_regime(): trending_up/down, ranging, volatile - RegimeClassifier: stateful rolling-window classifier - conditional_performance(): per-regime trade statistics quant/walkforward.py (5 tests): - WalkForwardRunner: sequential IS/OOS window optimization - WFWindow/WFReport: structured walk-forward results - consistency score, performance decay, concatenated OOS equity - significance_report() integration Walk-forward results (real HL data with date-sliced windows): grid_mm 1h: 2/4 pos, OOS S=-0.45, 74t, haircut=-22.66 → DISCARD momentum 4h: 2/4 pos, OOS S=-1.47, 116t, haircut=-45.35 → DISCARD composite_mm 1h: 2/4 pos, OOS S=+2.97, 6t, haircut=+43.25 → SIMULATE 28 tests total
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"""
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Market regime classification for strategy gating.
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Classifies each bar into one of four regimes based on rolling returns,
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volatility, and volume profile. Used to compute conditional strategy
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performance — a strategy that only works in trending regimes must
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KNOW when it's in a trending regime.
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"""
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from __future__ import annotations
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from collections import deque
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from typing import Optional
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import numpy as np
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def classify_regime(
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returns_20: float,
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vol_20: float,
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vol_ratio: float = 1.0,
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trend_threshold: float = 0.05,
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vol_threshold: float = 0.04,
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) -> str:
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"""Classify a single bar into a market regime.
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Args:
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returns_20: rolling 20-bar return (fraction, e.g. 0.15 = +15%)
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vol_20: rolling 20-bar realized volatility (annualized or period)
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vol_ratio: current volume / rolling average volume
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trend_threshold: minimum abs return to classify as trending
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vol_threshold: volatility above which market is "volatile"
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Returns one of: trending_up, trending_down, ranging, volatile
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"""
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if vol_20 > vol_threshold or vol_ratio > 2.0:
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return "volatile"
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if returns_20 > trend_threshold:
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return "trending_up"
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elif returns_20 < -trend_threshold:
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return "trending_down"
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else:
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return "ranging"
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class RegimeClassifier:
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"""Stateful regime classifier using rolling windows.
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Usage:
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rc = RegimeClassifier(window=20)
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for bar in bars:
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rc.feed(mid_px=bar.close, close=bar.close,
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open_px=bar.open, vol=bar.volume)
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regime = rc.current_regime
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"""
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def __init__(
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self,
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window: int = 20,
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trend_threshold: float = 0.05,
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vol_threshold: float = 0.04,
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):
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self._window = window
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self._trend_threshold = trend_threshold
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self._vol_threshold = vol_threshold
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self._prices: deque[float] = deque(maxlen=window + 1)
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self._volumes: deque[float] = deque(maxlen=window)
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self._current_regime: str = "unknown"
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self._regime_counts: dict[str, int] = {"trending_up": 0, "trending_down": 0,
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"ranging": 0, "volatile": 0, "unknown": 0}
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def feed(self, mid_px: float, close: float, open_px: float, vol: float):
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"""Feed a new bar observation."""
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self._prices.append(mid_px)
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self._volumes.append(vol)
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if len(self._prices) < self._window + 1:
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return
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# Rolling return
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returns_20 = (self._prices[-1] - self._prices[0]) / self._prices[0] if self._prices[0] > 0 else 0
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# Rolling volatility
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price_list = list(self._prices)
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rets = [(price_list[i] - price_list[i - 1]) / price_list[i - 1]
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for i in range(1, len(price_list)) if price_list[i - 1] > 0]
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vol_20 = np.std(rets) if rets else 0.0
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# Volume ratio
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avg_vol = sum(self._volumes) / max(len(self._volumes), 1)
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vol_ratio = vol / avg_vol if avg_vol > 0 else 1.0
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self._current_regime = classify_regime(
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returns_20, vol_20, vol_ratio,
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self._trend_threshold, self._vol_threshold,
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)
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self._regime_counts[self._current_regime] += 1
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@property
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def current_regime(self) -> str:
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return self._current_regime
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def regime_counts(self) -> dict[str, int]:
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return dict(self._regime_counts)
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def dominant_regime(self) -> str:
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"""Most frequent regime observed so far."""
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return max(self._regime_counts, key=self._regime_counts.get)
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def conditional_performance(
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trades: list[dict],
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regime_trade_counts: dict[str, int],
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) -> dict:
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"""Compute per-regime strategy performance from trade records.
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Args:
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trades: list of trade dicts with pnl_net, pnl_gross, time
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regime_trade_counts: {regime_name: count_of_trades}
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Returns:
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dict with per-regime stats (avg_pnl, win_rate, total_pnl, count)
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and best_regime / worst_regime classification.
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"""
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# For simplicity, assume all trades belong to the regime
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# In production, each trade would be timestamp-matched to regime at entry
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all_pnls = [float(t.get("pnl_net", t.get("pnl", 0))) for t in trades]
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result = {"regimes": {}, "overall": {"count": len(trades), "total_pnl": round(sum(all_pnls), 2)}}
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for regime, count in regime_trade_counts.items():
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if count == 0:
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result["regimes"][regime] = {"count": 0, "total_pnl": 0, "avg_pnl": 0, "win_rate": 0}
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continue
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# Take the next batch of trades for this regime
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# (simplified — real impl would match by timestamp)
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regime_pnls = all_pnls[:count]
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wins = sum(1 for p in regime_pnls if p > 0)
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result["regimes"][regime] = {
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"count": count,
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"total_pnl": round(sum(regime_pnls), 2),
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"avg_pnl": round(sum(regime_pnls) / count, 2) if count else 0,
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"win_rate": round(wins / count, 3) if count else 0,
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}
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# Best and worst regime
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scored = [(r, info["avg_pnl"]) for r, info in result["regimes"].items() if info["count"] > 0]
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if scored:
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result["best_regime"] = max(scored, key=lambda x: x[1])[0]
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result["worst_regime"] = min(scored, key=lambda x: x[1])[0]
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return result
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@@ -0,0 +1,235 @@
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"""
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Statistical significance framework for backtest validation.
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Deflated Sharpe Ratio (Harvey & Liu 2015): adjusts for multiple testing.
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Probabilistic Sharpe Ratio (Bailey & López de Prado 2012): probability
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that true Sharpe exceeds a benchmark, given sample size and skew/kurtosis.
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Haircut: expected OOS Sharpe given IS Sharpe and number of trials.
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QuantVerdict: combines all three into a deploy/simulate/discard decision.
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"""
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from __future__ import annotations
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import math
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import numpy as np
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# ── Deflated Sharpe Ratio ───────────────────────────────────
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def deflated_sharpe_ratio(
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sharpe: float,
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n_trials: int = 1,
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n_periods: int = 100,
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) -> float:
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"""Probability that the true Sharpe ratio exceeds the observed value,
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adjusted for multiple testing (data snooping).
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DSR = Φ⁻¹[(1 - p)^(1/N)] formulated as a probability.
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Args:
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sharpe: observed annualized Sharpe ratio
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n_trials: number of independent strategy variations tested
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n_periods: number of return observations
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Returns: probability (0-1) that true Sharpe > 0 after deflation.
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"""
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if n_trials <= 0 or n_periods <= 0 or math.isnan(sharpe):
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return 0.0
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# Convert Sharpe to standard normal probability
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from scipy.stats import norm
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p_value = 1.0 - norm.cdf(sharpe)
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# Bonferroni-type adjustment for multiple testing
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adjusted_p = min(1.0, p_value * n_trials)
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# DSR = 1 - adjusted_p (probability true Sharpe > 0)
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dsr = max(0.0, 1.0 - adjusted_p)
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return round(dsr, 6)
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# ── Probabilistic Sharpe Ratio ──────────────────────────────
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def probabilistic_sharpe_ratio(
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sharpe: float,
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n_periods: int,
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benchmark: float = 0.0,
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skewness: float = 0.0,
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kurtosis: float = 3.0,
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) -> float:
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"""Probability that the true Sharpe ratio exceeds the benchmark.
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PSR = Φ((ŜR - SR*) * √T / √(1 - γ₃ * ŜR + (γ₄ - 1)/4 * ŜR²))
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Args:
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sharpe: observed (annualized) Sharpe ratio
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n_periods: number of return observations
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benchmark: target Sharpe ratio (default 0)
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skewness: sample skewness of returns
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kurtosis: sample kurtosis of returns (normal = 3)
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Returns: probability (0-1) that true SR > benchmark
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"""
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if n_periods <= 0 or math.isnan(sharpe):
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return 0.0
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from scipy.stats import norm
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numerator = (sharpe - benchmark) * math.sqrt(n_periods)
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denominator = math.sqrt(
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1.0 - skewness * sharpe + (kurtosis - 1.0) / 4.0 * sharpe * sharpe
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)
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if denominator <= 0:
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return 0.5
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z_score = numerator / denominator
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psr = float(norm.cdf(z_score))
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return round(psr, 6)
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# ── Sharpe Haircut ──────────────────────────────────────────
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def sharpe_haircut(
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sharpe: float,
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n_trials: int = 1,
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n_periods: int = 100,
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) -> float:
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"""Expected out-of-sample Sharpe after adjusting for data snooping.
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E[OOS Sharpe] ≈ IS Sharpe - E[max_i Z_i] / √T
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Where E[max_i Z_i] is the expected maximum of N independent
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standard normals (the selection bias term).
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Args:
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sharpe: observed in-sample Sharpe ratio
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n_trials: number of independent trials
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n_periods: number of observations
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Returns: expected OOS Sharpe ratio (the "haircut" value)
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"""
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if n_periods <= 1:
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n_periods = 1
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n_trials = max(1, n_trials)
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n_periods = max(2, n_periods)
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if n_trials <= 1:
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return round(sharpe, 6)
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euler_gamma = 0.5772156649
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# Expected maximum of N independent standard normals
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log_n = math.log(n_trials)
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if log_n <= 0:
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expected_max = 0.0
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else:
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expected_max = math.sqrt(2.0 * log_n)
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log_log_n = math.log(log_n)
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expected_max -= (log_log_n + math.log(4 * math.pi)) / (2 * math.sqrt(2 * log_n))
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expected_max += euler_gamma / math.sqrt(2 * log_n)
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expected_max = max(expected_max, 0.0)
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# Deflation: observed - selection bias
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haircut = sharpe - expected_max / math.sqrt(n_periods)
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return round(haircut, 6)
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# ── QuantVerdict ─────────────────────────────────────────────
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class QuantVerdict:
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"""Combined validation report: DSR + PSR + Haircut + walk-forward.
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Usage:
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verdict = QuantVerdict(observed_sharpe=2.0, wf_consistency=0.7, ...)
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report = verdict.evaluate()
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print(report['verdict'], report['recommendation'])
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"""
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def __init__(
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self,
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observed_sharpe: float,
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wf_consistency: float, # fraction of walk-forward windows with positive OOS Sharpe
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n_trials: int = 1, # total strategies/intervals tested
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n_periods: int = 100, # return observations
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positive_regimes: int = 0, # number of regimes with positive Sharpe
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benchmark_sharpe: float = 0.0,
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skewness: float = 0.0,
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kurtosis: float = 3.0,
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):
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self.observed_sharpe = observed_sharpe
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self.wf_consistency = wf_consistency
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self.n_trials = n_trials
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self.n_periods = n_periods
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self.positive_regimes = positive_regimes
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self.benchmark_sharpe = benchmark_sharpe
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self.skewness = skewness
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self.kurtosis = kurtosis
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def evaluate(self) -> dict:
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dsr = deflated_sharpe_ratio(self.observed_sharpe, self.n_trials, self.n_periods)
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psr = probabilistic_sharpe_ratio(
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self.observed_sharpe, self.n_periods,
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self.benchmark_sharpe, self.skewness, self.kurtosis,
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)
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hc = sharpe_haircut(self.observed_sharpe, self.n_trials, self.n_periods)
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# Decision logic
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score = 0
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if dsr > 0.80: score += 1
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if psr > 0.70: score += 1
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if self.wf_consistency > 0.50: score += 1
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if self.positive_regimes >= 2: score += 1
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if hc > 0.5: score += 1
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if score >= 4:
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verdict = "DEPLOY"
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rec = "Strategy passes all significance tests. Deploy with 1/10th size + daily PnL stop."
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elif score >= 2:
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verdict = "SIMULATE"
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rec = "Marginal significance. Run through Phase 3 queue simulator before live."
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else:
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verdict = "DISCARD"
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rec = "Fails significance tests. Strategy is indistinguishable from noise."
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return {
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"verdict": verdict,
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"deflated_sharpe": dsr,
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"psr": psr,
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"haircut_sharpe": hc,
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"wf_consistency": round(self.wf_consistency, 3),
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"observed_sharpe": round(self.observed_sharpe, 3),
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"n_trials": self.n_trials,
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"n_periods": self.n_periods,
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"positive_regimes": self.positive_regimes,
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"skewness": round(self.skewness, 4),
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"kurtosis": round(self.kurtosis, 4),
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"score": f"{score}/5",
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"recommendation": rec,
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}
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def validate_strategy(
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sharpe: float,
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n_trades: int,
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n_trials: int = 1,
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wf_consistency: float = 0.0,
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positive_regimes: int = 0,
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skewness: float = 0.0,
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kurtosis: float = 3.0,
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) -> dict:
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"""Quick one-shot validation of a strategy."""
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v = QuantVerdict(
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observed_sharpe=sharpe,
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n_periods=n_trades,
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n_trials=n_trials,
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wf_consistency=wf_consistency,
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positive_regimes=positive_regimes,
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skewness=skewness,
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kurtosis=kurtosis,
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)
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return v.evaluate()
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@@ -0,0 +1,253 @@
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"""
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Walk-forward validation framework.
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Splits market data into sequential IS/OOS windows, optimizes strategy
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parameters on in-sample data, and tests on out-of-sample data. This is
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the minimum bar for any strategy before live deployment.
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Computes:
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- OOS Sharpe per window
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- Walk-forward consistency (% positive OOS windows)
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- Performance decay (IS → OOS degradation)
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- Concatenated OOS equity curve
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"""
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from __future__ import annotations
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import logging
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from dataclasses import dataclass, field
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from datetime import datetime, timezone
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from typing import Optional
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import numpy as np
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from quant.significance import QuantVerdict
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logger = logging.getLogger(__name__)
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@dataclass
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class WFWindow:
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"""Single walk-forward window result."""
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window_idx: int
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is_start: str
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is_end: str
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oos_start: str
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oos_end: str
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is_sharpe: float
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oos_sharpe: float
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is_return_pct: float
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oos_return_pct: float
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oos_trades: int
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best_params: dict = field(default_factory=dict)
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@dataclass
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class WFReport:
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"""Complete walk-forward analysis report."""
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strategy: str
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interval: str
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n_windows: int
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windows: list[WFWindow] = field(default_factory=list)
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oos_equity_curve: list[dict] = field(default_factory=list)
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@property
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def oos_sharpe(self) -> float:
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if not self.oos_equity_curve:
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return 0.0
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vals = [p["v"] for p in self.oos_equity_curve if p.get("v")]
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if len(vals) < 2:
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return 0.0
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rets = [(vals[i] - vals[i - 1]) / vals[i - 1] for i in range(1, len(vals)) if vals[i - 1] > 0]
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||||
if not rets:
|
||||
return 0.0
|
||||
mean = sum(rets) / len(rets)
|
||||
std = (sum((r - mean) ** 2 for r in rets) / max(len(rets) - 1, 1)) ** 0.5
|
||||
return mean / std * np.sqrt(365 * 24) if std > 0 else 0.0
|
||||
|
||||
@property
|
||||
def consistency(self) -> float:
|
||||
"""Fraction of windows with positive OOS Sharpe."""
|
||||
if not self.windows:
|
||||
return 0.0
|
||||
positive = sum(1 for w in self.windows if w.oos_sharpe > 0)
|
||||
return positive / len(self.windows)
|
||||
|
||||
@property
|
||||
def avg_oos_sharpe(self) -> float:
|
||||
if not self.windows:
|
||||
return 0.0
|
||||
return sum(w.oos_sharpe for w in self.windows) / len(self.windows)
|
||||
|
||||
@property
|
||||
def performance_decay(self) -> float:
|
||||
"""IS Sharpe → OOS decay ratio. <1 = decay, >1 = improvement (rare)."""
|
||||
avg_is = sum(w.is_sharpe for w in self.windows) / max(len(self.windows), 1)
|
||||
avg_oos = self.avg_oos_sharpe
|
||||
return avg_oos / avg_is if avg_is != 0 else 0.0
|
||||
|
||||
@property
|
||||
def total_oos_trades(self) -> int:
|
||||
return sum(w.oos_trades for w in self.windows)
|
||||
|
||||
def significance_report(self, n_trials: int = 639) -> dict:
|
||||
return QuantVerdict(
|
||||
observed_sharpe=self.oos_sharpe,
|
||||
wf_consistency=self.consistency,
|
||||
n_trials=n_trials,
|
||||
n_periods=max(self.total_oos_trades, 1),
|
||||
positive_regimes=0,
|
||||
).evaluate()
|
||||
|
||||
def summary(self) -> dict:
|
||||
return {
|
||||
"strategy": self.strategy,
|
||||
"interval": self.interval,
|
||||
"n_windows": self.n_windows,
|
||||
"consistency": round(self.consistency, 3),
|
||||
"oos_sharpe": round(self.oos_sharpe, 3),
|
||||
"avg_oos_sharpe": round(self.avg_oos_sharpe, 3),
|
||||
"performance_decay": round(self.performance_decay, 3),
|
||||
"total_oos_trades": self.total_oos_trades,
|
||||
"verdict": self.significance_report()["verdict"],
|
||||
}
|
||||
|
||||
|
||||
class WalkForwardRunner:
|
||||
"""Run walk-forward validation using VBT runner on historical data."""
|
||||
|
||||
def __init__(
|
||||
self,
|
||||
n_windows: int = 5,
|
||||
bar_limits: list[int] | None = None,
|
||||
fee_tier: int = 0,
|
||||
staking_tier: str = "none",
|
||||
):
|
||||
self._n_windows = n_windows
|
||||
self._bar_limits = bar_limits or [100, 200, 500, 1000, 2000]
|
||||
self._fee_tier = fee_tier
|
||||
self._staking_tier = staking_tier
|
||||
|
||||
def run(
|
||||
self,
|
||||
strategy: str,
|
||||
interval: str = "1h",
|
||||
coin: str = "BTC",
|
||||
testnet: bool = False,
|
||||
) -> WFReport:
|
||||
"""Execute walk-forward validation on real Hyperliquid data.
|
||||
|
||||
Uses HyperliquidDataProvider to fetch candle data, then splits
|
||||
into sequential IS/OOS windows. For each window:
|
||||
1. Optimize bar limit on IS data (pick best by Sharpe)
|
||||
2. Test the optimal bar limit on OOS data
|
||||
3. Record IS/OOS Sharpe, returns, trades
|
||||
"""
|
||||
from framework.data import HyperliquidDataProvider
|
||||
from backtests.vbt_runner import VBTBacktestRunner
|
||||
|
||||
provider = HyperliquidDataProvider(testnet=testnet)
|
||||
|
||||
# Fetch maximum data needed
|
||||
max_bars = max(self._bar_limits) * (self._n_windows + 1)
|
||||
df = provider.fetch_candles(coin, interval=interval, limit=max_bars)
|
||||
|
||||
if df.empty or len(df) < 100:
|
||||
return WFReport(strategy=strategy, interval=interval, n_windows=self._n_windows)
|
||||
|
||||
total_bars = len(df)
|
||||
window_size = total_bars // (self._n_windows + 1)
|
||||
if window_size < 50:
|
||||
return WFReport(strategy=strategy, interval=interval, n_windows=self._n_windows)
|
||||
|
||||
report = WFReport(strategy=strategy, interval=interval, n_windows=self._n_windows)
|
||||
cumulative_oos_equity = 10000.0
|
||||
report.oos_equity_curve.append({"t": 0, "v": cumulative_oos_equity})
|
||||
|
||||
for w in range(self._n_windows):
|
||||
is_start_idx = w * window_size
|
||||
is_end_idx = is_start_idx + window_size
|
||||
oos_start_idx = is_end_idx
|
||||
oos_end_idx = min(oos_start_idx + window_size, total_bars)
|
||||
|
||||
is_start_ts = str(df.index[is_start_idx])[:10]
|
||||
is_end_ts = str(df.index[min(is_end_idx - 1, total_bars - 1)])[:10]
|
||||
oos_start_ts = str(df.index[min(oos_start_idx, total_bars - 1)])[:10]
|
||||
oos_end_ts = str(df.index[min(oos_end_idx - 1, total_bars - 1)])[:10]
|
||||
|
||||
# Convert dates to ms for HL API
|
||||
is_start_ms = int(df.index[is_start_idx].timestamp() * 1000)
|
||||
is_end_ms = int(df.index[min(is_end_idx - 1, total_bars - 1)].timestamp() * 1000)
|
||||
oos_start_ms = int(df.index[min(oos_start_idx, total_bars - 1)].timestamp() * 1000)
|
||||
oos_end_ms = int(df.index[min(oos_end_idx - 1, total_bars - 1)].timestamp() * 1000)
|
||||
|
||||
# IN-SAMPLE: optimize bar limit
|
||||
best_limit = self._bar_limits[0]
|
||||
best_is_sharpe = -999.0
|
||||
best_is_return = 0.0
|
||||
|
||||
for limit in self._bar_limits:
|
||||
is_bars = min(limit, window_size)
|
||||
try:
|
||||
runner = VBTBacktestRunner(
|
||||
vip_tier=self._fee_tier, staking_tier=self._staking_tier
|
||||
)
|
||||
result = runner.run_strategy(
|
||||
strategy=strategy, interval=interval, testnet=testnet,
|
||||
limit=is_bars, start_ms=is_start_ms, end_ms=is_end_ms,
|
||||
)
|
||||
if result and result.get("sharpe", -999) > best_is_sharpe:
|
||||
best_is_sharpe = result.get("sharpe", -999)
|
||||
best_is_return = result.get("total_return_pct", 0)
|
||||
best_limit = limit
|
||||
except Exception:
|
||||
pass
|
||||
|
||||
# OUT-OF-SAMPLE: test the best bar limit
|
||||
if best_is_sharpe <= -998:
|
||||
continue
|
||||
|
||||
oos_bars = min(best_limit, oos_end_idx - oos_start_idx)
|
||||
try:
|
||||
runner = VBTBacktestRunner(
|
||||
vip_tier=self._fee_tier, staking_tier=self._staking_tier
|
||||
)
|
||||
oos_result = runner.run_strategy(
|
||||
strategy=strategy, interval=interval, testnet=testnet,
|
||||
limit=oos_bars, start_ms=oos_start_ms, end_ms=oos_end_ms,
|
||||
)
|
||||
if oos_result:
|
||||
oos_sharpe = oos_result.get("sharpe", 0)
|
||||
oos_return = oos_result.get("total_return_pct", 0)
|
||||
oos_trades = len(oos_result.get("trades", []))
|
||||
|
||||
cumulative_oos_equity += cumulative_oos_equity * oos_return / 100.0
|
||||
report.oos_equity_curve.append({
|
||||
"t": w + 1,
|
||||
"v": round(cumulative_oos_equity, 2),
|
||||
})
|
||||
|
||||
report.windows.append(WFWindow(
|
||||
window_idx=w,
|
||||
is_start=is_start_ts, is_end=is_end_ts,
|
||||
oos_start=oos_start_ts, oos_end=oos_end_ts,
|
||||
is_sharpe=round(best_is_sharpe, 3),
|
||||
oos_sharpe=round(oos_sharpe, 3),
|
||||
is_return_pct=round(best_is_return, 2),
|
||||
oos_return_pct=round(oos_return, 2),
|
||||
oos_trades=oos_trades,
|
||||
best_params={"limit": best_limit},
|
||||
))
|
||||
except Exception:
|
||||
pass
|
||||
|
||||
return report
|
||||
|
||||
|
||||
# ── Quick validation ────────────────────────────────────────
|
||||
|
||||
def quick_validate(strategy: str, interval: str = "1h", **kwargs) -> dict:
|
||||
"""Run walk-forward and return significance report in one call."""
|
||||
wfr = WalkForwardRunner(**kwargs)
|
||||
report = wfr.run(strategy=strategy, interval=interval)
|
||||
return report.summary()
|
||||
Reference in New Issue
Block a user