"""Forecasting models. Learned models share one interface (fit on a training panel, predict on a test panel) and fold-local preprocessing: feature scaling and target winsorisation use training rows only. Hyperparameters are fixed in advance rather than tuned on the evaluation sample. Three non-learned rules serve as benchmarks: hist_mean expanding mean of the factor's own history (Campbell-Thompson benchmark) shrink_mean own expanding mean shrunk toward the regional mean of the same factor fmom trailing 12-month mean, i.e. factor momentum """ from __future__ import annotations from dataclasses import dataclass, field import numpy as np import pandas as pd from sklearn.ensemble import HistGradientBoostingRegressor from sklearn.linear_model import ElasticNet, LinearRegression from sklearn.neural_network import MLPRegressor from sklearn.pipeline import make_pipeline from sklearn.preprocessing import StandardScaler from .features import FEATURES LEARNED = ("ols", "enet", "gbrt", "nn") RULES = ("hist_mean", "shrink_mean", "eb_shrink_mean", "fmom") # Real-time forecast shrinkage: "_rs" scales the model's forecast deviation from # the shrinkage mean by a slope estimated inside the training window (see Forecaster.fit). SCALED = tuple(f"{m}_rs" for m in LEARNED) RS_VALIDATION_MONTHS = 36 def _winsorise(y: np.ndarray, lo: float = 0.005, hi: float = 0.995) -> np.ndarray: a, b = np.quantile(y, [lo, hi]) return np.clip(y, a, b) @dataclass class Forecaster: name: str seed: int = 0 max_train_rows: int = 400_000 # subsample very large panels for the tree/NN fits scale: float = 1.0 # multiplies the forecast deviation; estimated in fit for "_rs" models features: tuple[str, ...] = tuple(FEATURES) _models: list = field(default_factory=list, repr=False) def fit(self, train: pd.DataFrame) -> "Forecaster": if self.name in RULES: return self if self.name in SCALED: return self._fit_scaled(train) rng = np.random.default_rng(self.seed) cap = self.max_train_rows if self.name == "gbrt" else self.max_train_rows // 3 if len(train) > cap and self.name in ("gbrt", "nn"): train = train.iloc[rng.choice(len(train), cap, replace=False)] X = train[list(self.features)].to_numpy() y = _winsorise(train["target"].to_numpy()) # Learn only the deviation from the shrunk historical mean, so a learned # model is credited for forecasting time variation, not for re-estimating # the unconditional premium. The anchor is added back at prediction time. y = y - train["shrink_mean"].to_numpy() self._models = [self._make(s).fit(X, y) for s in self._seeds()] return self def _fit_scaled(self, train: pd.DataFrame) -> "Forecaster": """Fit the base model, then shrink its forecasts by a slope estimated without future data. The base model is fitted on training rows whose target month precedes the last RS_VALIDATION_MONTHS months of the window and predicts those months; the slope of the realised deviation from the shrinkage mean on the forecast deviation, clipped to [0, 1], is the scale. The base model is then refitted on the whole window. With no usable validation split the scale stays 1 (no shrinkage). """ base = self.name[: -len("_rs")] cut = train["target_month"].max() - (RS_VALIDATION_MONTHS - 1) inner, val = train[train["target_month"] < cut], train[train["target_month"] >= cut] self.scale = 1.0 if len(inner) and len(val): x = self._base(base).fit(inner).deviation(val) y = (val["target"] - val["shrink_mean"]).to_numpy() if x @ x > 0: self.scale = float(np.clip(x @ y / (x @ x), 0.0, 1.0)) self._models = self._base(base).fit(train)._models return self def _base(self, name: str) -> "Forecaster": return Forecaster(name, self.seed, self.max_train_rows, features=self.features) def deviation(self, test: pd.DataFrame) -> np.ndarray: """Forecast of the return in excess of the shrinkage mean (learned models only).""" X = test[list(self.features)].to_numpy() return np.mean([m.predict(X) for m in self._models], axis=0) def predict(self, test: pd.DataFrame) -> np.ndarray: if self.name == "hist_mean": return test["hist_mean"].to_numpy() if self.name == "shrink_mean": return test["shrink_mean"].to_numpy() if self.name == "eb_shrink_mean": return test["eb_shrink_mean"].to_numpy() if self.name == "fmom": return test["own_m12"].to_numpy() return test["shrink_mean"].to_numpy() + self.scale * self.deviation(test) def _seeds(self) -> list[int]: # The neural net is an ensemble over initialisations (as in Gu, Kelly and Xiu 2020). return [self.seed + k for k in range(3)] if self.name == "nn" else [self.seed] def _make(self, seed: int): if self.name == "ols": return make_pipeline(StandardScaler(), LinearRegression()) if self.name == "enet": return make_pipeline(StandardScaler(), ElasticNet(alpha=1e-4, l1_ratio=0.5, max_iter=5000)) if self.name == "gbrt": return HistGradientBoostingRegressor( max_depth=3, learning_rate=0.05, max_iter=200, l2_regularization=1.0, min_samples_leaf=200, early_stopping=False, random_state=seed, ) if self.name == "nn": return make_pipeline( StandardScaler(), MLPRegressor( hidden_layer_sizes=(32, 16), alpha=1e-3, learning_rate_init=1e-3, max_iter=200, early_stopping=True, n_iter_no_change=10, random_state=seed, ), ) raise ValueError(f"Unknown model {self.name!r}")