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"""
Cross-Sectional Transformer with MSRR Loss for Asset Pricing.
Same architecture as train_transformer.py, but instead of predicting returns
with MSE loss, the model outputs portfolio weights and is trained with
Maximum Sharpe Ratio Regression (MSRR) loss:
L = E[(1 - w(X_t)' R_{t+1})²]
This directly optimizes the stochastic discount factor (SDF), which is
equivalent to finding the mean-variance efficient portfolio.
Reference: Kelly, Kuznetsov, Malamud, Xu (2025) "Artificial Intelligence
Asset Pricing Models", NBER Working Paper 33351.
"""
import os
import gc
import csv
import logging
import time
from dataclasses import dataclass, field
from typing import Dict, List, Tuple
import numpy as np
import torch
import torch.nn as nn
from scipy.stats import spearmanr
from train_nn import (
Config,
setup_logging,
load_returns,
load_universe,
load_signals,
load_macro,
load_sector_mapping,
build_long_panel,
build_industry_dummies,
FeatureScaler,
compute_cross_sectional_ic,
compute_oos_metrics,
set_seed,
)
from train_transformer import (
TransformerFeatureScaler,
MonthGroupedData,
CrossSectionalTransformer,
evaluate,
)
# ---------------------------------------------------------------------------
# Configuration
# ---------------------------------------------------------------------------
@dataclass
class MSRRConfig:
# Data
data_dir: str = "gkx_full"
macro_file: str = "welch_goyal_2024.xlsx"
sector_file: str = "gkx_full/sector_mapping.csv"
output_dir: str = "output"
# Architecture (same as MSE transformer)
d_model: int = 32
n_heads: int = 4
n_layers: int = 1
d_ff: int = 64
dropout: float = 0.10
# Features
n_signals: int = 95
n_macro: int = 8
n_industries: int = 74
# Training
lr: float = 7.5e-5
weight_decay: float = 0.0 # no decay on Transformer body
ridge_lambda: float = 1e-3 # ridge penalty on output head only (Kelly et al. approach)
grad_accum_steps: int = 4
max_grad_norm: float = 1.0
max_epochs: int = 300
patience: int = 25
min_epochs: int = 20
n_seeds: int = 10
clip_std: float = 5.0
# Time periods
train_start: int = 1975
val_years: int = 1
test_years: List[int] = field(default_factory=lambda: [2016, 2017, 2018, 2019])
# Signal/macro names
signal_names: List[str] = field(default_factory=lambda: Config().signal_names)
macro_names: List[str] = field(default_factory=lambda: Config().macro_names)
# ---------------------------------------------------------------------------
# MSRR Loss
# ---------------------------------------------------------------------------
def msrr_loss_month(weights: torch.Tensor, returns: torch.Tensor) -> torch.Tensor:
"""MSRR loss for a single month.
Args:
weights: (N,) portfolio weights from model
returns: (N,) excess returns for that month
Returns:
scalar loss: (1 - w'R)²
"""
port_return = torch.dot(weights, returns)
return (1.0 - port_return) ** 2
# ---------------------------------------------------------------------------
# Training
# ---------------------------------------------------------------------------
def train_one_epoch_msrr(model: nn.Module, data: MonthGroupedData,
optimizer: torch.optim.Optimizer,
amp_scaler: torch.amp.GradScaler,
config: MSRRConfig,
device: torch.device) -> float:
"""Train one epoch with MSRR loss."""
model.train()
total_loss = 0.0
n_months = len(data)
month_order = np.random.permutation(data.months)
optimizer.zero_grad(set_to_none=True)
for step, month_id in enumerate(month_order):
stock, macro, ind, target = data.get_month(int(month_id), device)
with torch.amp.autocast("cuda"):
weights = model(stock, macro, ind) # (N,) — portfolio weights
loss = msrr_loss_month(weights, target) / config.grad_accum_steps
amp_scaler.scale(loss).backward()
total_loss += loss.item() * config.grad_accum_steps
if (step + 1) % config.grad_accum_steps == 0:
amp_scaler.unscale_(optimizer)
torch.nn.utils.clip_grad_norm_(model.parameters(), config.max_grad_norm)
amp_scaler.step(optimizer)
amp_scaler.update()
optimizer.zero_grad(set_to_none=True)
if n_months % config.grad_accum_steps != 0:
amp_scaler.unscale_(optimizer)
torch.nn.utils.clip_grad_norm_(model.parameters(), config.max_grad_norm)
amp_scaler.step(optimizer)
amp_scaler.update()
optimizer.zero_grad(set_to_none=True)
return total_loss / n_months
@torch.no_grad()
def evaluate_msrr(model: nn.Module, data: MonthGroupedData,
device: torch.device) -> Tuple[float, np.ndarray, np.ndarray,
np.ndarray, np.ndarray]:
"""Evaluate MSRR loss and collect predictions for OOS metrics.
Returns:
avg_msrr_loss: average MSRR loss across months
all_preds: flat array of model outputs (weights/scores)
all_targets: flat array of actual returns
all_months: flat array of month IDs
all_permnos: flat array of permno IDs
"""
model.eval()
total_loss = 0.0
all_preds, all_targets, all_months, all_permnos = [], [], [], []
for month_id in data.months:
stock, macro, ind, target = data.get_month(month_id, device)
with torch.amp.autocast("cuda"):
weights = model(stock, macro, ind)
loss = msrr_loss_month(weights.float(), target)
total_loss += loss.item()
all_preds.append(weights.float().cpu().numpy())
all_targets.append(target.cpu().numpy())
all_months.append(np.full(len(target), month_id, dtype=np.int32))
all_permnos.append(data.permno_dict[month_id])
avg_loss = total_loss / len(data)
return (avg_loss, np.concatenate(all_preds), np.concatenate(all_targets),
np.concatenate(all_months), np.concatenate(all_permnos))
def compute_sdf_portfolio_metrics(preds: np.ndarray, targets: np.ndarray,
month_ids: np.ndarray,
logger: logging.Logger) -> Dict:
"""Compute SDF portfolio metrics using raw model weights.
The model outputs are used directly as portfolio weights (not sorted
into deciles). The SDF portfolio return each month is w'R.
"""
unique_months = sorted(np.unique(month_ids))
monthly_returns = []
for m in unique_months:
mask = month_ids == m
w = preds[mask]
r = targets[mask]
port_ret = np.dot(w, r)
monthly_returns.append(port_ret)
monthly_returns = np.array(monthly_returns)
mean_ret = np.mean(monthly_returns)
std_ret = np.std(monthly_returns, ddof=1) if len(monthly_returns) > 1 else 1.0
sharpe = mean_ret / std_ret * np.sqrt(12) if std_ret > 0 else 0.0
logger.info(f" SDF Portfolio: mean={mean_ret:.6f}/mo, "
f"std={std_ret:.6f}, Sharpe={sharpe:.2f}")
return {
"sdf_mean_ret": mean_ret,
"sdf_std_ret": std_ret,
"sdf_sharpe": sharpe,
"sdf_monthly_returns": monthly_returns,
}
def train_model_msrr(train_data: MonthGroupedData, val_data: MonthGroupedData,
test_year: int, seed: int,
config: MSRRConfig, device: torch.device,
logger: logging.Logger) -> Dict:
"""Full training with early stopping on validation MSRR loss."""
set_seed(seed)
model = CrossSectionalTransformer(
n_signals=config.n_signals, n_industries=config.n_industries,
n_macro=config.n_macro, d_model=config.d_model,
n_heads=config.n_heads, d_ff=config.d_ff, dropout=config.dropout,
).to(device)
n_params = sum(p.numel() for p in model.parameters() if p.requires_grad)
head_params = sum(p.numel() for p in model.output_head.parameters())
logger.info(f" [MSRR|year{test_year}|seed{seed}] params={n_params:,} "
f"(head={head_params:,}), "
f"train={train_data.n_obs:,}, val={val_data.n_obs:,}")
# Split optimizer: no weight decay on Transformer body, ridge on output head only
body_params = [p for n, p in model.named_parameters()
if not n.startswith("output_head")]
head_params_list = list(model.output_head.parameters())
optimizer = torch.optim.AdamW([
{"params": body_params, "weight_decay": 0.0},
{"params": head_params_list, "weight_decay": config.ridge_lambda},
], lr=config.lr)
amp_scaler = torch.amp.GradScaler("cuda")
best_val_loss = float("inf")
best_state = None
best_epoch = 0
patience_counter = 0
t0 = time.time()
for epoch in range(1, config.max_epochs + 1):
t_ep = time.time()
train_loss = train_one_epoch_msrr(
model, train_data, optimizer, amp_scaler, config, device)
# Validation — MSRR loss
val_loss, val_preds, val_targets, val_months, _ = evaluate_msrr(
model, val_data, device)
val_ic = compute_cross_sectional_ic(val_preds, val_targets, val_months)
elapsed = time.time() - t_ep
if epoch <= 5 or epoch % 10 == 0 or epoch == config.max_epochs:
logger.debug(f" Epoch {epoch:3d}: trn={train_loss:.6f}, "
f"val_msrr={val_loss:.6f}, val_ic={val_ic:.4f}, "
f"pat={patience_counter}/{config.patience}, {elapsed:.1f}s")
# Early stopping on MSRR loss (lower is better)
if epoch >= config.min_epochs:
if val_loss < best_val_loss:
best_val_loss = val_loss
best_epoch = epoch
best_state = {k: v.cpu().clone() for k, v in model.state_dict().items()}
patience_counter = 0
else:
patience_counter += 1
if patience_counter >= config.patience:
logger.info(f" Early stopped epoch {epoch}, best={best_epoch}")
break
if best_state is not None:
model.load_state_dict(best_state)
model.to(device)
total_time = time.time() - t0
logger.info(f" seed{seed}: ep={best_epoch}, val_msrr={best_val_loss:.6f}, "
f"{total_time:.1f}s")
return {
"model": model,
"best_epoch": best_epoch,
"best_val_loss": best_val_loss,
}
# ---------------------------------------------------------------------------
# Main
# ---------------------------------------------------------------------------
def main():
config = MSRRConfig()
logger = setup_logging(config.output_dir)
logger.info("=" * 70)
logger.info("Cross-Sectional Transformer with MSRR Loss")
logger.info(f" d_model={config.d_model}, heads={config.n_heads}, "
f"layers={config.n_layers}, d_ff={config.d_ff}")
logger.info(f" lr={config.lr}, wd={config.weight_decay}, "
f"dropout={config.dropout}, grad_accum={config.grad_accum_steps}")
logger.info(f" Loss: MSRR L = E[(1 - w'R)^2]")
logger.info(f" test_years={config.test_years}")
logger.info("=" * 70)
device = torch.device("cuda" if torch.cuda.is_available() else "cpu")
if torch.cuda.is_available():
logger.info(f"GPU: {torch.cuda.get_device_name(0)}")
for subdir in ["logs", "models", "predictions", "metrics", "features"]:
os.makedirs(os.path.join(config.output_dir, subdir), exist_ok=True)
# --- Load data (reuse from train_nn) ---
end_year = max(config.test_years)
logger.info("Loading data...")
returns = load_returns(config.data_dir, config.train_start, end_year, logger)
universe = load_universe(config.data_dir, config.train_start, end_year, logger)
signals = load_signals(config.data_dir, config.signal_names,
config.train_start, end_year, logger)
macro, rfree = load_macro(config.macro_file, config.train_start, end_year, logger)
permno_to_sic2, sic2_codes = load_sector_mapping(config.sector_file, logger)
logger.info("Building long panel...")
stock_features, macro_features, targets, month_ids, permno_ids = \
build_long_panel(universe, returns, signals, macro, rfree,
config.signal_names, config.macro_names, logger)
del returns, universe, signals, macro, rfree
gc.collect()
logger.info(f"Panel: {len(targets):,} obs, "
f"{len(np.unique(month_ids))} months, "
f"{stock_features.shape[1]} signals")
# --- Results ---
all_results = []
csv_path = os.path.join(config.output_dir, "metrics", "msrr_transformer_summary.csv")
csv_fields = ["test_year", "oos_r2_pct", "mean_ic", "std_ic",
"mean_ls_ret_pct", "std_ls_ret_pct", "sharpe_ls_annual",
"sdf_sharpe", "sdf_mean_ret", "sdf_std_ret",
"n_months", "n_obs", "avg_epochs"]
# --- Yearly expanding-window refit ---
for test_year in config.test_years:
logger.info(f"\n{'='*60}")
logger.info(f"Test year: {test_year}")
logger.info(f"{'='*60}")
val_end_year = test_year - 1
val_start_year = test_year - config.val_years
train_end_year = val_start_year - 1
train_end_month = train_end_year * 100 + 12
val_start_month = val_start_year * 100 + 1
val_end_month = val_end_year * 100 + 12
test_start_month = test_year * 100 + 1
test_end_month = test_year * 100 + 12
train_mask = month_ids <= train_end_month
val_mask = (month_ids >= val_start_month) & (month_ids <= val_end_month)
test_mask = (month_ids >= test_start_month) & (month_ids <= test_end_month)
logger.info(f" Train: <={train_end_year}-12 ({train_mask.sum():,})")
logger.info(f" Val: {val_start_year}-01..{val_end_year}-12 ({val_mask.sum():,})")
logger.info(f" Test: {test_year} ({test_mask.sum():,})")
scaler = TransformerFeatureScaler(clip_std=config.clip_std)
scaler.fit(stock_features[train_mask], macro_features[train_mask])
def build_split(mask):
s, m = scaler.transform(stock_features[mask].copy(),
macro_features[mask].copy())
ind = build_industry_dummies(permno_ids[mask], permno_to_sic2, sic2_codes)
data = MonthGroupedData(s, m, ind, targets[mask],
month_ids[mask], permno_ids[mask])
del s, m, ind
return data
train_data = build_split(train_mask)
val_data = build_split(val_mask)
test_data = build_split(test_mask)
logger.info(f" Train months: {len(train_data)}, "
f"Val months: {len(val_data)}, "
f"Test months: {len(test_data)}")
# Train 10 seeds
seed_preds = []
seed_epochs = []
for seed in range(config.n_seeds):
result = train_model_msrr(train_data, val_data, test_year, seed,
config, device, logger)
# Evaluate on test set
preds, _, _, _ = evaluate(result["model"], test_data, device)
seed_preds.append(preds)
seed_epochs.append(result["best_epoch"])
# Save model weights
model_path = os.path.join(config.output_dir, "models",
f"MSRR_year{test_year}_seed{seed}.pt")
torch.save(result["model"].state_dict(), model_path)
del result
torch.cuda.empty_cache()
# Ensemble
ensemble_preds = np.mean(seed_preds, axis=0)
test_targets = np.concatenate([test_data.target_dict[m]
for m in test_data.months])
test_months = np.concatenate([np.full(len(test_data.target_dict[m]), m,
dtype=np.int32)
for m in test_data.months])
# Save ensemble predictions
test_permnos = np.concatenate([test_data.permno_dict[m]
for m in test_data.months])
import pandas as pd
pred_df = pd.DataFrame({
"permno": test_permnos, "month": test_months,
"prediction": ensemble_preds,
})
pred_path = os.path.join(config.output_dir, "predictions",
f"pred_ensemble_MSRR_year{test_year}.parquet")
pred_df.to_parquet(pred_path, index=False)
logger.info(f" ENSEMBLE ({config.n_seeds} seeds):")
# Standard decile-sort metrics (for comparison with MSE transformer)
metrics = compute_oos_metrics(ensemble_preds, test_targets,
test_months, logger)
# SDF portfolio metrics (direct w'R)
sdf_metrics = compute_sdf_portfolio_metrics(
ensemble_preds, test_targets, test_months, logger)
metrics.update(sdf_metrics)
metrics["test_year"] = test_year
metrics["avg_epochs"] = np.mean(seed_epochs)
all_results.append(metrics)
# Save CSV
with open(csv_path, "w", newline="") as f:
writer = csv.DictWriter(f, fieldnames=csv_fields)
writer.writeheader()
for r in all_results:
writer.writerow({k: r.get(k, "") for k in csv_fields})
del train_data, val_data, test_data, seed_preds
gc.collect()
torch.cuda.empty_cache()
# --- Summary ---
logger.info("\n" + "=" * 70)
logger.info("MSRR TRANSFORMER RESULTS SUMMARY")
logger.info("=" * 70)
for r in all_results:
logger.info(f" {r['test_year']}: R²={r['oos_r2_pct']:+.4f}%, "
f"IC={r['mean_ic']:.4f}, "
f"L/S Sharpe={r['sharpe_ls_annual']:.2f}, "
f"SDF Sharpe={r['sdf_sharpe']:.2f}, "
f"epochs={r['avg_epochs']:.0f}")
r2s = [r["oos_r2_pct"] for r in all_results]
ics = [r["mean_ic"] for r in all_results]
ls_shs = [r["sharpe_ls_annual"] for r in all_results]
sdf_shs = [r["sdf_sharpe"] for r in all_results]
logger.info(f" AVG: R²={np.mean(r2s):+.4f}%, IC={np.mean(ics):.4f}, "
f"L/S Sharpe={np.mean(ls_shs):.2f}, SDF Sharpe={np.mean(sdf_shs):.2f}")
logger.info(f"\nSaved to {csv_path}")
logger.info("Done!")
if __name__ == "__main__":
main()