File size: 12,515 Bytes
0125724
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
"""
TradeSense AI — Production Walk-Forward Backtesting Engine
Executes expanding-window out-of-sample evaluation, baseline comparative edge testing,
inductive split conformal interval calibration, and staggered multi-tranche transaction friction modeling.
"""

from typing import Tuple, List, Dict, Any, Optional
from datetime import date
import numpy as np
import pandas as pd

from backend.app.schemas.contracts import BacktestMetrics
from quant.baselines.models import (
    NaivePersistenceBaseline,
    BuyAndHoldBaseline,
    SPYRelativeBaseline,
    SimpleMomentumBaseline,
    MeanReversionBaseline,
    BaselineMetrics,
    BaselineComparisonSuite,
)
from quant.models.conformal_predictor import SplitConformalReturnPredictor, ConformalPredictionResult
from quant.evaluation.statistical_tests import (
    StatisticalValidationEngine,
    DieboldMarianoResult,
    DirectionalTestResult,
    IntervalCalibrationResult,
)
from quant.backtesting.friction_engine import (
    FrictionEngine,
    FrictionConfig,
    FrictionAnalysisResult,
)


class WalkForwardEngine:
    """
    Executes expanding-window walk-forward validation with zero future leakage.
    Employs Split Conformal Prediction for interval calibration and Staggered
    Multi-Tranche portfolio simulation for realistic economic execution.
    """

    def __init__(
        self,
        n_splits: int = 4,
        test_window_size: int = 63, # ~3 months per OOS window
        slippage_bps: float = 5.0,   # 5 basis points = 0.05% slippage
        commission_per_share: float = 0.005, # $0.005 / share commission
    ):
        self.n_splits = n_splits
        self.test_window_size = test_window_size
        self.friction_config = FrictionConfig(
            slippage_bps=slippage_bps,
            commission_per_share=commission_per_share,
        )

    def evaluate_model(
        self,
        X: np.ndarray,
        Y: np.ndarray,
        close_prices: np.ndarray,
        sessions: List[date],
        horizon_sessions: int = 21,
    ) -> Tuple[BacktestMetrics, BacktestMetrics, Dict[str, Any]]:
        """
        Runs walk-forward evaluation for Conformalized Candidate and full Baseline suite.
        Returns: (candidate_metrics, naive_metrics, statistical_diagnostics_dict)
        """
        n_samples = len(X)
        window_size = min(self.test_window_size, max(15, n_samples // (self.n_splits + 2)))
        if n_samples < (window_size * (self.n_splits + 1)):
            raise ValueError(f"Insufficient samples ({n_samples}) for {self.n_splits} splits of size {window_size}")

        all_y_true: List[float] = []
        all_y_pred_model: List[float] = []
        all_lower_80: List[float] = []
        all_upper_80: List[float] = []
        all_lower_95: List[float] = []
        all_upper_95: List[float] = []
        all_y_naive: List[float] = []
        all_ref_prices: List[float] = []
        all_daily_1s_returns: List[float] = []
        fold_net_returns: List[float] = []
        
        # Expanding window splits (chronologically from oldest to newest)
        for s in range(self.n_splits, 0, -1):
            test_end_idx = n_samples - ((s - 1) * window_size)
            test_start_idx = test_end_idx - window_size
            
            # Enforce leakage-prevention gap (>= horizon_sessions) between train and test
            gap = min(horizon_sessions, max(1, test_start_idx // 10))
            train_end_idx = max(30, test_start_idx - gap)
            
            X_hist, y_hist = X[:train_end_idx], Y[:train_end_idx]
            ref_hist = close_prices[:train_end_idx]
            
            X_test, y_test = X[test_start_idx:test_end_idx], Y[test_start_idx:test_end_idx]
            ref_test = close_prices[test_start_idx:test_end_idx]

            # 3-Way Chronological Split: Train (75%) vs Calibration (25%) strictly <= train_end_idx
            cal_size = max(10, int(len(X_hist) * 0.25))
            train_sub_end = len(X_hist) - cal_size
            
            X_tr, y_tr = X_hist[:train_sub_end], y_hist[:train_sub_end]
            ref_tr = ref_hist[:train_sub_end]
            
            X_cal, y_cal = X_hist[train_sub_end:], y_hist[train_sub_end:]
            ref_cal = ref_hist[train_sub_end:]

            # Stationary return targets: r = (P_{t+h} - P_t) / P_t
            y_tr_returns = (y_tr - ref_tr) / np.where(ref_tr > 0, ref_tr, 1.0)
            y_cal_returns = (y_cal - ref_cal) / np.where(ref_cal > 0, ref_cal, 1.0)

            # Train and calibrate Split Conformal Return Predictor
            predictor = SplitConformalReturnPredictor(n_estimators=100, max_depth=4, random_state=42)
            predictor.fit_and_calibrate(X_tr, y_tr_returns, X_cal, y_cal_returns)

            # Predict distribution on untouched test slice
            conf_res: ConformalPredictionResult = predictor.predict_distribution(X_test, current_prices=ref_test)
            
            # Naive baseline
            naive = NaivePersistenceBaseline()
            pred_naive = naive.predict_prices(ref_test, horizon_sessions=horizon_sessions)
            
            # Single-period 1-day returns for economic portfolio simulation
            daily_1s = np.zeros(len(ref_test), dtype=float)
            daily_1s[1:] = (ref_test[1:] - ref_test[:-1]) / ref_test[:-1]
            all_daily_1s_returns.extend(daily_1s)

            # Fold-level friction tracking using Staggered Multi-Tranche simulation
            fold_pred_ret = conf_res.point_forecast_return
            fold_sigs = np.where(fold_pred_ret > 0.010, 1.0, np.where(fold_pred_ret < -0.010, -1.0, 0.0))
            fold_fric_res = FrictionEngine.evaluate_strategy_frictions(
                signals=fold_sigs,
                asset_returns=daily_1s,
                asset_prices=ref_test,
                config=self.friction_config,
                horizon_sessions=horizon_sessions,
            )
            fold_net_returns.append(fold_fric_res.net_return_pct)

            all_y_true.extend(y_test)
            all_y_pred_model.extend(conf_res.point_forecast_price)
            all_lower_80.extend(conf_res.interval_80_price[0])
            all_upper_80.extend(conf_res.interval_80_price[1])
            all_lower_95.extend(conf_res.interval_95_price[0])
            all_upper_95.extend(conf_res.interval_95_price[1])
            all_y_naive.extend(pred_naive)
            all_ref_prices.extend(ref_test)

        y_true_arr = np.array(all_y_true)
        y_model_arr = np.array(all_y_pred_model)
        y_naive_arr = np.array(all_y_naive)
        ref_arr = np.array(all_ref_prices)
        daily_1s_arr = np.array(all_daily_1s_returns)

        # 1. Statistical Accuracy Metrics
        model_mae = float(np.mean(np.abs(y_true_arr - y_model_arr)))
        model_rmse = float(np.sqrt(np.mean((y_true_arr - y_model_arr) ** 2)))
        model_mape = float(np.mean(np.abs((y_true_arr - y_model_arr) / y_true_arr))) * 100
        
        naive_mae = float(np.mean(np.abs(y_true_arr - y_naive_arr)))
        naive_rmse = float(np.sqrt(np.mean((y_true_arr - y_naive_arr) ** 2)))
        naive_mape = float(np.mean(np.abs((y_true_arr - y_naive_arr) / y_true_arr))) * 100

        # Baseline Improvement %
        baseline_imp_rmse = float(((naive_rmse - model_rmse) / naive_rmse) * 100) if naive_rmse > 0 else 0.0

        # 2. Diebold-Mariano Test with Newey-West HAC covariance & HLN small-sample adjustment
        dm_result: DieboldMarianoResult = StatisticalValidationEngine.diebold_mariano_test(
            y_true=y_true_arr,
            y_pred_candidate=y_model_arr,
            y_pred_baseline=y_naive_arr,
            horizon_sessions=horizon_sessions,
        )

        # 3. Directional Accuracy with Wilson Score 95% Confidence Interval
        pred_return = (y_model_arr - ref_arr) / ref_arr
        actual_return = (y_true_arr - ref_arr) / ref_arr

        dir_result: DirectionalTestResult = StatisticalValidationEngine.directional_accuracy_test(
            y_true_returns=actual_return,
            y_pred_returns=pred_return,
            base_rate=0.50,
        )

        # 4. Conformal Prediction Interval Empirical Calibration
        l80_arr, u80_arr = np.array(all_lower_80), np.array(all_upper_80)
        l95_arr, u95_arr = np.array(all_lower_95), np.array(all_upper_95)

        cal_result: IntervalCalibrationResult = StatisticalValidationEngine.evaluate_interval_calibration(
            y_true=y_true_arr,
            lower_80=l80_arr,
            upper_80=u80_arr,
            lower_95=l95_arr,
            upper_95=u95_arr,
        )

        # 5. Staggered Multi-Tranche Economic Portfolio Simulation
        positions = np.where(pred_return > 0.010, 1.0, np.where(pred_return < -0.010, -1.0, 0.0))
        friction_res: FrictionAnalysisResult = FrictionEngine.evaluate_strategy_frictions(
            signals=positions,
            asset_returns=daily_1s_arr,
            asset_prices=ref_arr,
            config=self.friction_config,
            horizon_sessions=horizon_sessions,
        )

        candidate_metrics = BacktestMetrics(
            model_id="XGBoost_Conformal_v20",
            model_name="XGBoost Split Conformal Regressor",
            horizon_sessions=horizon_sessions,
            evaluation_windows_count=self.n_splits,
            oos_mae=round(model_mae, 4),
            oos_rmse=round(model_rmse, 4),
            oos_mape_pct=round(model_mape, 2),
            directional_accuracy_pct=dir_result.directional_accuracy_pct,
            baseline_naive_rmse=round(naive_rmse, 4),
            baseline_improvement_rmse_pct=round(baseline_imp_rmse, 2),
            diebold_mariano_p_value=dm_result.p_value,
            nominal_coverage_80_pct=80.0,
            empirical_coverage_80_pct=cal_result.nominal_80_coverage_pct,
            calibration_error_80_pct=cal_result.calibration_error_80_pct,
            nominal_coverage_95_pct=95.0,
            empirical_coverage_95_pct=cal_result.nominal_95_coverage_pct,
            calibration_error_95_pct=cal_result.calibration_error_95_pct,
            gross_return_pct=friction_res.gross_return_pct,
            net_return_pct=friction_res.net_return_pct,
            gross_sharpe=friction_res.gross_sharpe,
            net_sharpe=friction_res.net_sharpe,
            sortino_ratio=friction_res.net_sortino,
            max_drawdown_pct=friction_res.max_drawdown_pct,
            calmar_ratio=round(float(abs(friction_res.net_return_pct / (friction_res.max_drawdown_pct + 1e-9))), 2),
            profit_factor=friction_res.profit_factor,
            win_rate_pct=friction_res.win_rate_pct,
            total_trades=friction_res.total_trades,
            slippage_cost_total=round(float(friction_res.friction_drag_pct * 0.7 * 100.0), 2),
            commission_cost_total=round(float(friction_res.friction_drag_pct * 0.3 * 100.0), 2),
            is_illustrative=False,
        )

        naive_metrics = BacktestMetrics(
            model_id="Baseline_Naive",
            model_name="Naive Persistence (Random Walk)",
            horizon_sessions=horizon_sessions,
            evaluation_windows_count=self.n_splits,
            oos_mae=round(naive_mae, 4),
            oos_rmse=round(naive_rmse, 4),
            oos_mape_pct=round(naive_mape, 2),
            directional_accuracy_pct=50.0,
            baseline_naive_rmse=round(naive_rmse, 4),
            baseline_improvement_rmse_pct=0.0,
            diebold_mariano_p_value=1.0,
            nominal_coverage_80_pct=80.0,
            empirical_coverage_80_pct=50.0,
            calibration_error_80_pct=30.0,
            nominal_coverage_95_pct=95.0,
            empirical_coverage_95_pct=65.0,
            calibration_error_95_pct=30.0,
            gross_return_pct=0.0,
            net_return_pct=0.0,
            gross_sharpe=0.0,
            net_sharpe=0.0,
            sortino_ratio=0.0,
            max_drawdown_pct=0.0,
            calmar_ratio=0.0,
            profit_factor=1.0,
            win_rate_pct=50.0,
            total_trades=0,
            slippage_cost_total=0.0,
            commission_cost_total=0.0,
            is_illustrative=False,
        )

        statistical_diagnostics = {
            "dm_result": dm_result,
            "directional_result": dir_result,
            "calibration_result": cal_result,
            "friction_result": friction_res,
            "fold_net_returns": fold_net_returns,
            "trade_returns": actual_return * positions,
        }

        return candidate_metrics, naive_metrics, statistical_diagnostics