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Comprobación de convergencia en modelos factoriales de descenso del gradiente

Código Machine Learning for Trading

Resumen

El documento describe cómo un flujo de investigación de trading evalúa si los ajustes de modelos de factores latentes finalizaron en un estado utilizable. En los modelos entrenados mediante descenso del gradiente, comprueba que el último objetivo de entrenamiento registrado sea finito; para el modelo de factor de descuento estocástico también exige un Sharpe terminal finito. El cambio del objetivo entre las dos últimas observaciones se registra como diagnóstico, pero no determina el éxito, ya que un gran paso final puede deberse al calendario de entrenamiento y no a un ajuste fallido.

Un detalle clave es cómo se selecciona el valor terminal: se recorre el historial para encontrar las entradas que contienen una pérdida de entrenamiento y se usa la última, aunque no sea finita. Las pérdidas finitas anteriores no deben ocultar una divergencia al final. Esto importa en historiales de puntos de control que añaden entradas de resumen sin una pérdida. Estas comprobaciones establecen un criterio práctico de finalización, no la convergencia a un óptimo; los modelos se detienen al alcanzar un presupuesto de épocas y no tienen una regla de parada basada en tolerancia.

Ideas clave

  • Un objetivo de entrenamiento final finito sirve como criterio de finalización para los modelos entrenados con gradiente.
  • El ajuste del factor de descuento estocástico también debe tener un Sharpe terminal finito.
  • Importa el último objetivo registrado; un valor finito anterior no puede ocultar una divergencia posterior.
  • El cambio del objetivo se presenta como diagnóstico, pero no es por sí solo un criterio de aprobado o suspenso.
  • Al identificar el objetivo terminal, se deben omitir las entradas del historial que no incluyan una pérdida de entrenamiento.

Etiquetas

Texto completo
# library_bridge.py


```py
"""Adapters from case-study fold inputs to ml4t-models."""

from __future__ import annotations

import os
from collections.abc import Sequence
from pathlib import Path
from typing import Any

import numpy as np
import torch
from ml4t.models.asset_prediction import SAEModel
from ml4t.models.configs import (
    CAEConfig,
    IPCAConfig,
    PCAConfig,
    SAEConfig,
    StochasticDiscountFactorConfig,
)
from ml4t.models.forecasters import ExpandingMeanFactorForecaster
from ml4t.models.latent_factors import CAEModel, IPCAModel, PCAModel
from ml4t.models.mappers import BetaLambdaMapper
from ml4t.models.stochastic_discount_factor import (
    LinearStochasticDiscountFactorReturnMapper,
    StochasticDiscountFactorBetaNetworkHead,
    StochasticDiscountFactorModel,
)
from ml4t.models.types import CrossSectionBatch, PersistentPanelBatch

from case_studies.utils.latent_factors.common import TaskType, summarize_predictions


def preferred_latent_device() -> str:
    """Return the fastest available Torch device for latent-factor fitting."""
    return "cuda" if torch.cuda.is_available() else "cpu"


_PREFERRED_DEVICE = preferred_latent_device()


def configure_latent_torch_runtime(
    device: str,
    *,
    seed: int,
    num_threads: int,
    deterministic_algorithms: bool,
) -> dict[str, Any]:
    """Resolve and configure one explicit latent-factor Torch runtime."""
    normalized = device.lower()
    if normalized == "gpu":
        normalized = "cuda"
    if normalized not in {"cpu", "cuda"}:
        raise ValueError(f"Unsupported latent-factor device: {device!r}")
    if normalized == "cuda" and not torch.cuda.is_available():
        raise RuntimeError("CUDA was requested for latent-factor training but is unavailable")
    if num_threads < 1:
        raise ValueError("num_threads must be at least 1")

    os.environ.setdefault("CUBLAS_WORKSPACE_CONFIG", ":4096:8")
    torch.set_num_threads(num_threads)
    torch.use_deterministic_algorithms(deterministic_algorithms, warn_only=False)
    torch.backends.cudnn.deterministic = deterministic_algorithms
    torch.backends.cudnn.benchmark = False
    torch.manual_seed(seed)
    if normalized == "cuda":
        torch.cuda.manual_seed_all(seed)
    return {
        "device": normalized,
        "deterministic_algorithms": deterministic_algorithms,
        "cublas_workspace_config": os.environ["CUBLAS_WORKSPACE_CONFIG"],
        "num_threads": num_threads,
        "seed": seed,
    }


def run_pca_fold_with_library(
    returns_train: np.ndarray,
    returns_val: np.ndarray,
    *,
    n_factors: int,
    artifact_dir: Path | None = None,
) -> tuple[np.ndarray, dict[str, Any]]:
    _validate_persistent_returns(returns_train, returns_val)
    train_batch = PersistentPanelBatch(
        returns=returns_train,
        timestamps=tuple(range(returns_train.shape[0])),
        asset_ids=_asset_ids(returns_train.shape[1]),
    )
    val_batch = PersistentPanelBatch(
        timestamps=tuple(range(returns_val.shape[0])),
        asset_ids=_asset_ids(returns_val.shape[1]),
    )

    model = PCAModel(PCAConfig(n_factors=n_factors))
    fit = model.fit(train_batch)
    train_state = model.extract(train_batch)
    val_state = model.extract(val_batch)
    forecaster = ExpandingMeanFactorForecaster()
    forecaster.fit(train_state)
    if artifact_dir is not None:
        artifact_dir.mkdir(parents=True, exist_ok=True)
        model.save(artifact_dir / "model.ml4t")
        forecaster.save(artifact_dir / "forecaster_0.ml4t")
    forecast = forecaster.predict(val_state)
    predictions = (
        BetaLambdaMapper().predict(val_state, forecast).expected_returns.astype(np.float32)
    )
    predictions[~np.isfinite(returns_val)] = np.nan

    centered = returns_train.astype(np.float64) - np.nanmean(returns_train, axis=0, keepdims=True)
    centered = np.where(np.isfinite(centered), centered, 0.0)
    total_variance = float(np.var(centered, axis=0, ddof=0).sum())
    factor_variance = np.var(train_state.factor_returns, axis=0, ddof=0)
    variance_ratio = (
        factor_variance / total_variance
        if total_variance > 0
        else np.zeros(n_factors, dtype=np.float64)
    )
    extras = {
        "n_factors": n_factors,
        "asset_mean": np.nanmean(returns_train, axis=0).tolist(),
        "factor_premium": np.nanmean(train_state.factor_returns, axis=0).tolist(),
        "loadings": train_state.asset_betas[0].tolist(),
        "explained_variance_ratio": variance_ratio.tolist(),
        "train_metrics": dict(fit.train_metrics),
    }
    return predictions, extras


def run_ipca_fold_with_library(
    chars_train: np.ndarray,
    returns_train: np.ndarray,
    chars_val: np.ndarray,
    returns_val: np.ndarray,
    *,
    n_factors: int,
    max_iter: int = IPCAConfig().max_iter,
    tol: float = 1e-6,
    factor_ridge: float = 1e-6,
    gamma_ridge: float = 1e-6,
    artifact_dir: Path | None = None,
) -> tuple[np.ndarray, dict[str, Any]]:
    train_batch = _cross_section_batch(chars_train, returns=returns_train)
    val_batch = _cross_section_batch(chars_val)

    model = IPCAModel(
        IPCAConfig(
            n_factors=n_factors,
            max_iter=max_iter,
            tol=tol,
            factor_ridge=factor_ridge,
            gamma_ridge=gamma_ridge,
        )
    )
    fit = model.fit(train_batch)
    train_state = model.extract(train_batch)
    val_state = model.extract(val_batch)
    forecaster = ExpandingMeanFactorForecaster()
    forecaster.fit(train_state)
    if artifact_dir is not None:
        artifact_dir.mkdir(parents=True, exist_ok=True)
        model.save(artifact_dir / "model.ml4t")
        forecaster.save(artifact_dir / "forecaster_0.ml4t")
    forecast = forecaster.predict(val_state)
    predictions = (
        BetaLambdaMapper().predict(val_state, forecast).expected_returns.astype(np.float32)
    )
    predictions[~np.isfinite(returns_val)] = np.nan

    extras = {
        "n_factors": n_factors,
        "n_instruments": int(chars_train.shape[2] + 1),
        "max_iter": int(model.config.max_iter),
        "tol": float(model.config.tol),
        "factor_ridge": float(model.config.factor_ridge),
        "gamma_ridge": float(model.config.gamma_ridge),
        "iterations": int(val_state.metadata.get("fit_iterations", 0)),
        "converged": bool(val_state.metadata.get("fit_converged", fit.converged)),
        "parameter_delta": float(val_state.metadata.get("fit_parameter_delta", float("inf"))),
        "objective_delta": float(val_state.metadata.get("fit_objective_delta", float("inf"))),
        "forecast_delta": float(val_state.metadata.get("fit_forecast_delta", float("inf"))),
        "factor_premium": np.nanmean(train_state.factor_returns, axis=0).tolist(),
        "gamma": model.gamma.tolist(),
        "train_metrics": dict(fit.train_metrics),
    }
    return predictions, extras


def run_cae_fold_with_library(
    chars_train: np.ndarray,
    returns_train: np.ndarray,
    chars_val: np.ndarray,
    returns_val: np.ndarray,
    *,
    n_factors: int,
    factor_returns_train: np.ndarray | None = None,
    n_epochs: int = 50,
    checkpoint_interval: int | None = 5,
    checkpoint_epochs: list[int] | None = None,
    n_ensemble: int = 1,
    hidden_units: tuple[int, ...] = (32,),
    lambda_l1: float = 1e-4,
    batch_size: int = 10_000,
    lr: float = 1e-3,
    task_type: TaskType = "regression",
    seed: int = 42,
    device: str = "cpu",
    artifact_dir: Path | None = None,
) -> tuple[dict[int, np.ndarray], dict[str, Any]]:
    train_batch = _cross_section_batch(
        chars_train,
        returns=returns_train,
        factor_returns=factor_returns_train,
    )
    val_batch = _cross_section_batch(chars_val, returns=returns_val)

    model = CAEModel(
        CAEConfig(
            n_factors=n_factors,
            task_type=task_type,
            hidden_units=hidden_units,
            n_ensemble=n_ensemble,
            n_epochs=n_epochs,
            checkpoint_interval=checkpoint_interval,
            checkpoint_epochs=tuple(checkpoint_epochs or ()),
            lr=lr,
            lambda_l1=lambda_l1,
            batch_size=batch_size,
            device=device,
            seed=seed,
        )
    )
    extras = _run_checkpointed_latent_pipeline(
        model=model,
        train_batch=train_batch,
        val_batch=val_batch,
        returns_val=returns_val,
        task_type=task_type,
        artifact_dir=artifact_dir,
    )
    extras["factor_source"] = (
        "continuous_returns" if factor_returns_train is not None else "label_column"
    )
    return extras.pop("checkpoint_predictions"), extras


def run_sae_fold_with_library(
    chars_train: np.ndarray,
    returns_train: np.ndarray,
    chars_val: np.ndarray,
    returns_val: np.ndarray,
    *,
    factor_returns_train: np.ndarray | None = None,
    n_epochs: int = 50,
    checkpoint_interval: int | None = 5,
    checkpoint_epochs: list[int] | None = None,
    lr: float = 1e-4,
    bottleneck_dim: int = 96,
    aux_hidden_dim: int = 96,
    main_hidden_units: list[int] | None = None,
    hidden_units: list[int] | None = None,
    dropout_rates: list[float] | None = None,
    noise_std: float = 0.035,
    alpha: float = 1.0,
    aux_weight: float = 1.0,
    batch_size: int | None = None,
    task_type: TaskType = "regression",
    seed: int = 42,
    device: str = "cpu",
    artifact_dir: Path | None = None,
) -> tuple[dict[int, np.ndarray], dict[str, Any]]:
    train_batch = _cross_section_batch(
        chars_train,
        returns=returns_train,
        factor_returns=factor_returns_train,
    )
    val_batch = _cross_section_batch(chars_val)

    model = SAEModel(
        SAEConfig(
            task_type=task_type,
            bottleneck_dim=bottleneck_dim,
            aux_hidden_dim=aux_hidden_dim,
            main_hidden_units=tuple(main_hidden_units or hidden_units or (896, 448, 448, 256)),
            dropout_rates=None if dropout_rates is None else tuple(dropout_rates),
            noise_std=noise_std,
            alpha=alpha,
            aux_weight=aux_weight,
            n_epochs=n_epochs,
            batch_size=batch_size,
            checkpoint_interval=checkpoint_interval,
            checkpoint_epochs=tuple(checkpoint_epochs or ()),
            lr=lr,
            device=device,
            seed=seed,
        )
    )
    extras = _run_checkpointed_signal_pipeline(
        model=model,
        train_batch=train_batch,
        val_batch=val_batch,
        returns_val=returns_val,
        task_type=task_type,
        artifact_dir=artifact_dir,
    )
    return extras.pop("checkpoint_predictions"), extras


def run_sdf_fold_with_library(
    chars_train: np.ndarray,
    returns_train: np.ndarray,
    chars_val: np.ndarray,
    returns_val: np.ndarray,
    *,
    macro_train: np.ndarray | None = None,
    macro_val: np.ndarray | None = None,
    state_dim_sdf: int = 4,
    state_dim_moment: int = 32,
    hidden_dim: int = 64,
    n_instruments: int = 8,
    dropout: float = 0.05,
    n_epochs_unc: int = 256,
    n_epochs_moment: int = 64,
    n_epochs_cond: int = 1024,
    checkpoint_interval: int | None = None,
    checkpoint_epochs: list[int] | None = None,
    beta_n_epochs: int = 256,
    beta_checkpoint_interval: int | None = None,
    beta_checkpoint_epochs: list[int] | None = None,
    beta_default_checkpoint: int | None = None,
    output_mode: str = "beta_network",
    expected_return_mapper: str = "linear",
    burn_in_epochs: int = 0,
    lr: float = 1e-3,
    weight_decay: float = 0.0,
    seed: int = 42,
    device: str = "cpu",
    artifact_dir: Path | None = None,
) -> tuple[dict[int, np.ndarray], dict[str, Any]]:
    if expected_return_mapper != "linear":
        raise ValueError("SDF expected_return_mapper currently supports only 'linear'")
    train_batch = _cross_section_batch(
        chars_train,
        returns=returns_train,
        context_features=macro_train,
    )
    val_batch = _cross_section_batch(chars_val, returns=returns_val, context_features=macro_val)

    model = StochasticDiscountFactorModel(
        StochasticDiscountFactorConfig(
            state_dim_sdf=state_dim_sdf,
            state_dim_moment=state_dim_moment,
            hidden_dim=hidden_dim,
            n_instruments=n_instruments,
            dropout=dropout,
            n_epochs_unc=n_epochs_unc,
            n_epochs_moment=n_epochs_moment,
            n_epochs_cond=n_epochs_cond,
            checkpoint_interval=checkpoint_interval,
            checkpoint_epochs=tuple(checkpoint_epochs or ()),
            beta_n_epochs=beta_n_epochs,
            beta_checkpoint_interval=beta_checkpoint_interval,
            beta_checkpoint_epochs=tuple(beta_checkpoint_epochs or ()),
            beta_default_checkpoint=beta_default_checkpoint,
            burn_in_epochs=burn_in_epochs,
            lr=lr,
            weight_decay=weight_decay,
            device=device,
            seed=seed,
        )
    )
    fit = model.fit(train_batch, validation_batch=val_batch)
    if artifact_dir is not None:
        artifact_dir.mkdir(parents=True, exist_ok=True)
        model.save(artifact_dir / "model.ml4t")

    checkpoint_predictions: dict[int, np.ndarray] = {}
    checkpoint_metrics: dict[str, dict[str, float | int | None]] = {}
    beta_head_epochs: dict[str, int | None] = {}

    for epoch in model.available_checkpoints:
        checkpoint_label = _sdf_checkpoint_label(epoch, n_epochs_unc=n_epochs_unc)
        train_state = model.extract(train_batch, checkpoint=epoch)
        val_state = model.extract(val_batch, checkpoint=epoch)
        if output_mode == "weights":
            predictions = val_state.asset_weights.astype(np.float32)
            beta_head_epochs[str(checkpoint_label)] = None
        elif output_mode == "beta_network":
            beta_head = StochasticDiscountFactorBetaNetworkHead(model.config)
            beta_fit = beta_head.fit(train_state, train_batch)
            predictions = beta_head.predict(val_batch).signal_values.astype(np.float32)
            beta_head_epochs[str(checkpoint_label)] = beta_fit.best_epoch
            if artifact_dir is not None:
                beta_head.save(artifact_dir / f"beta_head_{checkpoint_label}.ml4t")
        elif output_mode == "expected_returns":
            mapper = LinearStochasticDiscountFactorReturnMapper()
            mapper.fit(train_state, train_batch)
            predictions = mapper.predict(val_state).expected_returns.astype(np.float32)
            beta_head_epochs[str(checkpoint_label)] = None
            if artifact_dir is not None:
                mapper.save(artifact_dir / f"return_mapper_{checkpoint_label}.ml4t")
        else:
            raise ValueError(f"Unsupported output_mode: {output_mode!r}")
        predictions[~np.isfinite(returns_val)] = np.nan
        checkpoint_predictions[checkpoint_label] = predictions
        checkpoint_metrics[str(checkpoint_label)] = summarize_predictions(
            returns_val,
            predictions,
            task_type="regression",
        )

    extras = {
        "n_epochs_unc": n_epochs_unc,
        "n_epochs_moment": n_epochs_moment,
        "n_epochs_cond": n_epochs_cond,
        "checkpoint_epochs": [
            _sdf_checkpoint_label(epoch, n_epochs_unc=n_epochs_unc)
            for epoch in model.available_checkpoints
        ],
        "library_checkpoints": list(model.available_checkpoints),
        "beta_n_epochs": model.config.beta_n_epochs,
        "beta_checkpoint_epochs": list(model.config.beta_checkpoint_epochs),
        "beta_default_checkpoint": model.config.beta_default_checkpoint,
        "output_mode": output_mode,
        "expected_return_mapper": expected_return_mapper,
        "beta_head_best_epochs": beta_head_epochs,
        "checkpoint_metrics": checkpoint_metrics,
        "training_history": list(fit.history),
        "train_metrics": dict(fit.train_metrics),
        "sdf_sharpe": _latest_sdf_sharpe(fit.history),
        **fit_convergence(fit.history, require_finite_sharpe=True),
    }
    return checkpoint_predictions, extras


def predict_latent_fold_from_artifact(
    model_name: str,
    *,
    artifact_dir: Path,
    chars_train: np.ndarray,
    returns_train: np.ndarray,
    chars_val: np.ndarray,
    returns_val: np.ndarray,
    factor_returns_train: np.ndarray | None = None,
    macro_train: np.ndarray | None = None,
    macro_val: np.ndarray | None = None,
    output_mode: str = "beta_network",
    device: str = "cpu",
) -> dict[int, np.ndarray]:
    """Reconstruct one fold's predictions from persisted fitted state."""
    model_path = artifact_dir / "model.ml4t"
    if not model_path.is_file():
        raise FileNotFoundError(model_path)
    if model_name == "pca":
        model = PCAModel.load(model_path, device=device)
        train_batch = PersistentPanelBatch(
            returns=returns_train,
            timestamps=tuple(range(returns_train.shape[0])),
            asset_ids=_asset_ids(returns_train.shape[1]),
        )
        val_batch = PersistentPanelBatch(
            timestamps=tuple(range(returns_val.shape[0])),
            asset_ids=_asset_ids(returns_val.shape[1]),
        )
        train_state = model.extract(train_batch)
        val_state = model.extract(val_batch)
        forecaster = ExpandingMeanFactorForecaster.load(
            artifact_dir / "forecaster_0.ml4t",
            device=device,
        )
        predictions = (
            BetaLambdaMapper()
            .predict(
                val_state,
                forecaster.predict(val_state),
            )
            .expected_returns.astype(np.float32)
        )
        predictions[~np.isfinite(returns_val)] = np.nan
        return {0: predictions}

    train_batch = _cross_section_batch(
        chars_train,
        returns=returns_train,
        factor_returns=factor_returns_train,
        context_features=macro_train,
    )
    val_batch = _cross_section_batch(
        chars_val,
        returns=returns_val,
        context_features=macro_val,
    )
    if model_name == "ipca":
        model = IPCAModel.load(model_path, device=device)
        train_state = model.extract(train_batch)
        val_state = model.extract(val_batch)
        forecaster = ExpandingMeanFactorForecaster.load(
            artifact_dir / "forecaster_0.ml4t",
            device=device,
        )
        predictions = (
            BetaLambdaMapper()
            .predict(
                val_state,
                forecaster.predict(val_state),
            )
            .expected_returns.astype(np.float32)
        )
        predictions[~np.isfinite(returns_val)] = np.nan
        return {0: predictions}
    if model_name == "cae":
        model = CAEModel.load(model_path, device=device)
        checkpoint_predictions: dict[int, np.ndarray] = {}
        for epoch in model.available_checkpoints:
            val_state = model.extract(val_batch, checkpoint=epoch)
            forecaster = ExpandingMeanFactorForecaster.load(
                artifact_dir / f"forecaster_{int(epoch)}.ml4t",
                device=device,
            )
            predictions = (
                BetaLambdaMapper()
                .predict(
                    val_state,
                    forecaster.predict(val_state),
                )
                .expected_returns.astype(np.float32)
            )
            if model.config.task_type == "classification":
                predictions = _sigmoid(predictions).astype(np.float32)
            predictions[~np.isfinite(returns_val)] = np.nan
            checkpoint_predictions[int(epoch)] = predictions
        return checkpoint_predictions
    if model_name == "sae":
        model = SAEModel.load(model_path, device=device)
        checkpoint_predictions = {}
        for epoch in model.available_checkpoints:
            predictions = model.predict(val_batch, checkpoint=epoch).signal_values.astype(
                np.float32
            )
            predictions[~np.isfinite(returns_val)] = np.nan
            checkpoint_predictions[int(epoch)] = predictions
        return checkpoint_predictions
    if model_name == "sdf":
        model = StochasticDiscountFactorModel.load(model_path, device=device)
        checkpoint_predictions = {}
        for epoch in model.available_checkpoints:
            checkpoint_label = _sdf_checkpoint_label(
                epoch,
                n_epochs_unc=model.config.n_epochs_unc,
            )
            val_state = model.extract(val_batch, checkpoint=epoch)
            if output_mode == "weights":
                predictions = val_state.asset_weights.astype(np.float32)
            elif output_mode == "beta_network":
                head = StochasticDiscountFactorBetaNetworkHead.load(
                    artifact_dir / f"beta_head_{checkpoint_label}.ml4t",
                    device=device,
                )
                predictions = head.predict(val_batch).signal_values.astype(np.float32)
            elif output_mode == "expected_returns":
                mapper = LinearStochasticDiscountFactorReturnMapper.load(
                    artifact_dir / f"return_mapper_{checkpoint_label}.ml4t"
                )
                predictions = mapper.predict(val_state).expected_returns.astype(np.float32)
            else:
                raise ValueError(f"Unsupported output_mode: {output_mode!r}")
            predictions[~np.isfinite(returns_val)] = np.nan
            checkpoint_predictions[checkpoint_label] = predictions
        return checkpoint_predictions
    raise ValueError(f"Unsupported latent-factor model: {model_name!r}")


def _run_checkpointed_latent_pipeline(
    *,
    model: CAEModel,
    train_batch: CrossSectionBatch,
    val_batch: CrossSectionBatch,
    returns_val: np.ndarray,
    task_type: TaskType,
    artifact_dir: Path | None,
) -> dict[str, Any]:
    fit = model.fit(train_batch, validation_batch=val_batch)
    if artifact_dir is not None:
        artifact_dir.mkdir(parents=True, exist_ok=True)
        model.save(artifact_dir / "model.ml4t")

    checkpoint_predictions: dict[int, np.ndarray] = {}
    checkpoint_metrics: dict[str, dict[str, float | int | None]] = {}

    for epoch in model.available_checkpoints:
        train_state = model.extract(train_batch, checkpoint=epoch)
        val_state = model.extract(val_batch, checkpoint=epoch)
        forecaster = ExpandingMeanFactorForecaster()
        forecaster.fit(train_state)
        if artifact_dir is not None:
            forecaster.save(artifact_dir / f"forecaster_{int(epoch)}.ml4t")
        forecast = forecaster.predict(val_state)
        predictions = (
            BetaLambdaMapper().predict(val_state, forecast).expected_returns.astype(np.float32)
        )
        if task_type == "classification":
            predictions = _sigmoid(predictions).astype(np.float32)
        predictions[~np.isfinite(returns_val)] = np.nan
        checkpoint_predictions[int(epoch)] = predictions
        checkpoint_metrics[str(epoch)] = summarize_predictions(
            returns_val,
            predictions,
            task_type=task_type,
        )

    return {
        "n_epochs": int(model.config.n_epochs),
        "checkpoint_epochs": list(model.available_checkpoints),
        "task_type": task_type,
        "checkpoint_metrics": checkpoint_metrics,
        "train_history": list(fit.history),
        "train_metrics": dict(fit.train_metrics),
        "checkpoint_predictions": checkpoint_predictions,
        **fit_convergence(fit.history),
    }


def _run_checkpointed_signal_pipeline(
    *,
    model: SAEModel,
    train_batch: CrossSectionBatch,
    val_batch: CrossSectionBatch,
    returns_val: np.ndarray,
    task_type: TaskType,
    artifact_dir: Path | None,
) -> dict[str, Any]:
    fit = model.fit(train_batch)
    if artifact_dir is not None:
        artifact_dir.mkdir(parents=True, exist_ok=True)
        model.save(artifact_dir / "model.ml4t")

    checkpoint_predictions: dict[int, np.ndarray] = {}
    checkpoint_metrics: dict[str, dict[str, float | int | None]] = {}

    for epoch in model.available_checkpoints:
        predictions = model.predict(val_batch, checkpoint=epoch).signal_values.astype(np.float32)
        predictions[~np.isfinite(returns_val)] = np.nan
        checkpoint_predictions[int(epoch)] = predictions
        checkpoint_metrics[str(epoch)] = summarize_predictions(
            returns_val,
            predictions,
            task_type=task_type,
        )

    return {
        "n_epochs": int(model.config.n_epochs),
        "checkpoint_epochs": list(model.available_checkpoints),
        "task_type": task_type,
        "checkpoint_metrics": checkpoint_metrics,
        "train_history": list(fit.history),
        "train_metrics": dict(fit.train_metrics),
        "checkpoint_predictions": checkpoint_predictions,
        **fit_convergence(fit.history),
    }


def _cross_section_batch(
    characteristics: np.ndarray,
    *,
    returns: np.ndarray | None = None,
    factor_returns: np.ndarray | None = None,
    context_features: np.ndarray | None = None,
) -> CrossSectionBatch:
    mask = np.isfinite(characteristics).all(axis=2)
    return CrossSectionBatch(
        characteristics=characteristics,
        returns=returns,
        factor_returns=factor_returns,
        context_features=context_features,
        mask=mask,
        timestamps=tuple(range(characteristics.shape[0])),
        asset_ids=_asset_ids(characteristics.shape[1]),
    )


def _validate_persistent_returns(returns_train: np.ndarray, returns_val: np.ndarray) -> None:
    if returns_train.ndim != 2 or returns_val.ndim != 2:
        raise ValueError("returns_train and returns_val must be 2D")
    if returns_train.shape[1] != returns_val.shape[1]:
        raise ValueError("returns_train and returns_val must share the entity axis")


def _asset_ids(n_assets: int) -> tuple[str, ...]:
    return tuple(f"asset_{idx}" for idx in range(n_assets))


def _sigmoid(values: np.ndarray) -> np.ndarray:
    clipped = np.clip(values.astype(np.float64), -50.0, 50.0)
    return 1.0 / (1.0 + np.exp(-clipped))


def _sdf_checkpoint_label(checkpoint: tuple[str, int], *, n_epochs_unc: int) -> int:
    phase, epoch = checkpoint
    if checkpoint == ("conditional", -1):
        return 0
    if checkpoint == ("conditional", 0):
        return -1
    if checkpoint == ("unconditional", -1):
        return -2
    if checkpoint == ("unconditional", 0):
        return -3
    return int(epoch if phase == "unconditional" else n_epochs_unc + epoch)


def fit_convergence(
    history: Sequence[dict[str, float | str]],
    *,
    require_finite_sharpe: bool = False,
) -> dict[str, Any]:
    """A convergence determination for a latent-factor fit trained by gradient descent.

    IPCA reports ``converged`` from its own alternating-least-squares tolerance, and
    ``_require_fit_convergence`` in ``cv.py`` refuses a cohort any fold failed it in. CAE,
    SAE and the SDF wrote no such flag, so a fit that never identified registered: its
    predictions entered the population, ``require_complete`` passed and the notebook's IC
    table printed normally.

    These three have no tolerance to settle within - they stop on an epoch budget, and a
    short SAE fit routinely ends on a higher loss than the step before it - so what is
    checkable is that the fit produced a finite terminal objective, and for the SDF a finite
    terminal Sharpe as well. ``objective_delta`` is recorded as a diagnostic and nothing is
    gated on it, because a large last step is a fact about the schedule rather than a
    failure.

    The terminal objective is the LAST recorded ``train_loss``, not the last finite one.
    Reading it the way :func:`_latest_sdf_sharpe` reads the Sharpe - backwards until
    something is finite - returns the value from before the fit diverged and calls that
    convergence, which is the opposite of what happened. Entries carrying no ``train_loss``
    are skipped rather than ending the trace: CAE appends a ``validation_best`` summary
    entry after its per-checkpoint ones, so its objective is never on the last entry.
    """
    trace = [
        float(entry["train_loss"])
        for entry in history
        if isinstance(entry.get("train_loss"), (int, float))
    ]
    terminal = trace[-1] if trace else None
    delta = trace[-1] - trace[-2] if len(trace) >= 2 else None
    converged = terminal is not None and bool(np.isfinite(terminal))

    determination: dict[str, Any] = {
        "converged": converged,
        "convergence_criterion": "finite_terminal_objective",
        "iterations": len(trace),
        "terminal_objective": terminal,
        "objective_delta": delta,
    }
    if require_finite_sharpe:
        sharpe = _terminal_metric(history, "train_sharpe")
        determination["converged"] = converged and sharpe is not None and bool(np.isfinite(sharpe))
        determination["convergence_criterion"] = "finite_terminal_objective_and_sharpe"
        determination["terminal_sharpe"] = sharpe
    return determination


def _terminal_metric(
    history: Sequence[dict[str, float | str]],
    key: str,
) -> float | None:
    """The value of ``key`` on the last entry that carries one, finite or not."""
    for entry in reversed(history):
        value = entry.get(key)
        if isinstance(value, (int, float)):
            return float(value)
    return None


def _latest_sdf_sharpe(history: tuple[dict[str, float | str], ...]) -> float | None:
    for entry in reversed(history):
        sharpe = entry.get("train_sharpe")
        if isinstance(sharpe, (int, float)) and np.isfinite(sharpe):
            return float(sharpe)
    return None

```

Se muestra íntegramente con atribución según la licencia de la fuente. Licencia: MIT

Este resumen lo redactó el agente de investigación de Stratmill a partir del original; no es una copia de la fuente.