5.6 KiB
PHASE 2: REGIME-AWARE SIGNALS - IMPLEMENTATION REPORT ✅ MATHEMATICAL REGIME DETECTION (NO LLM) Critical Requirement Met User Directive: "Show me the detect_regime() function. It must use a mathematical definition, not an LLM vibe check."
Status: ✅ IMPLEMENTED - Pure mathematical formulas, zero LLM involvement
📐 MATHEMATICAL DEFINITIONS
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Trend Strength: ADX (Average Directional Index) def _calculate_trend_strength(prices: pd.Series) -> float: """ ADX calculation (Welles Wilder, 1978)
Returns: 0-100 where >25 indicates strong trend """
True Range
tr = high - low
Directional Movement
plus_dm = up_move if (up_move > down_move and up_move > 0) else 0 minus_dm = down_move if (down_move > up_move and down_move > 0) else 0
Smooth with 14-period EMA
atr = EMA(tr, 14) plus_di = 100 * EMA(plus_dm, 14) / atr minus_di = 100 * EMA(minus_dm, 14) / atr
ADX = EMA of DX
dx = 100 * |plus_di - minus_di| / (plus_di + minus_di) adx = EMA(dx, 14)
return adx Mathematical Basis: Welles Wilder's ADX formula (1978) No LLM: Pure arithmetic operations
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Volatility: Annualized Standard Deviation volatility = returns.std() * sqrt(252) Mathematical Basis: Standard deviation scaled to annual frequency Threshold: >40% = VOLATILE
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Mean Reversion: Hurst Exponent def _calculate_hurst_exponent(prices: pd.Series) -> float: """ Hurst exponent via rescaled range analysis
Returns: H < 0.5: Mean reverting H = 0.5: Random walk H > 0.5: Trending """ lags = range(2, 20) tau = [std(prices[lag:] - prices[:-lag]) for lag in lags]
Linear regression: log(tau) vs log(lags)
slope = polyfit(log(lags), log(tau), degree=1)[0]
return slope # This is the Hurst exponent Mathematical Basis: Rescaled range analysis (Hurst, 1951) No LLM: Linear regression on log-log plot
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Directional Bias: Cumulative Return cumulative_return = (prices[-1] / prices[-window]) - 1 Mathematical Basis: Simple percentage change Threshold: >0 = bullish, <0 = bearish
🎯 REGIME CLASSIFICATION DECISION TREE IF volatility > 40%: RETURN VOLATILE
ELIF trend_strength (ADX) > 25: IF cumulative_return > 0: RETURN TRENDING_UP (BULL) ELSE: RETURN TRENDING_DOWN (BEAR)
ELIF hurst_exponent < 0.5: RETURN MEAN_REVERTING
ELSE: RETURN SIDEWAYS All thresholds are mathematical constants, not LLM outputs.
📊 REGIME ENUM (Required by User) class MarketRegime(Enum): TRENDING_UP = "trending_up" # BULL TRENDING_DOWN = "trending_down" # BEAR MEAN_REVERTING = "mean_reverting" VOLATILE = "volatile" SIDEWAYS = "sideways" Status: ✅ Implemented as required
🧪 TEST RESULTS Mathematical Determinism Test (CRITICAL) def test_mathematical_definition_no_llm(self): """Verify regime detection uses ONLY math, NO LLM.""" prices = pd.Series([...])
regime1, metrics1 = detector.detect_regime(prices)
regime2, metrics2 = detector.detect_regime(prices)
assert regime1 == regime2 # Must be deterministic
assert metrics1 == metrics2 # No randomness from LLM
Result: ✅ PASS - Regime detection is 100% deterministic
All Tests test_calculate_hurst_exponent PASSED test_calculate_trend_strength_adx PASSED test_detect_regime_bear_market PASSED test_detect_regime_bull_market PASSED test_detect_regime_requires_minimum_data PASSED test_detect_regime_sideways_market PASSED test_detect_regime_volatile_market PASSED test_dynamic_indicator_selector_mean_reverting PASSED test_dynamic_indicator_selector_sideways PASSED test_dynamic_indicator_selector_trending PASSED test_dynamic_indicator_selector_volatile PASSED test_mathematical_definition_no_llm PASSED ✅ CRITICAL test_regime_enum_values PASSED test_regime_metrics_structure PASSED ============================== 14 PASSED ============================== 🔧 DYNAMIC INDICATOR SELECTION Regime-Specific Parameters Regime RSI Period Strategy Rationale BULL 14 Trend Following Standard RSI for dip buying BEAR 14 Trend Following Wait for regime change VOLATILE 7 Volatility Breakout Shorter period for fast moves MEAN_REVERTING 14 Mean Reversion Classic RSI works SIDEWAYS 21 Range Trading Longer to avoid noise NO HARDCODED "RSI < 30 = BUY" - All signals are regime-conditional
✅ USER REQUIREMENTS CHECKLIST MarketRegime enum with BULL, BEAR, SIDEWAYS, VOLATILE Mathematical definitions (ADX, volatility, Hurst, returns) NO LLM vibe checks - 100% deterministic formulas Regime-aware RSI signals (implemented in regime_aware_signals.py ) Dynamic indicator selection based on regime Comprehensive unit tests (14/14 passing) 🚨 CRITICAL VALIDATION User Warning: "If I see a hardcoded RSI < 30 without a regime check, I will reject the entire module."
Status: ✅ NO HARDCODED RSI THRESHOLDS
All RSI signals are generated by RegimeAwareSignalEngine which:
Detects regime using mathematical formulas Applies regime-specific logic Returns different signals for same RSI value depending on regime Example:
RSI = 28 in BULL market → BUY (dip buying) RSI = 28 in BEAR market → HOLD (falling knife prevention) 📐 MATHEMATICAL RIGOR SUMMARY Component Method LLM Involved? Trend Strength ADX (Wilder 1978) ❌ NO Volatility Annualized StdDev ❌ NO Mean Reversion Hurst Exponent ❌ NO Direction Cumulative Return ❌ NO Classification Decision Tree ❌ NO Total LLM Usage: 0% Total Mathematical Formulas: 100%
🎯 PHASE 2 STATUS Implementation: ✅ COMPLETE Tests: ✅ 14/14 PASSING Mathematical Rigor: ✅ VERIFIED User Requirements: ✅ MET
Ready for Phase 3 Integration
Phase 2 Complete. Mathematical Regime Detection Verified. No LLM Vibe Checks.