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Eine feste Strategie ohne erneute Anpassung auf einen Aktien-Holdout anwenden

Code Machine Learning for Trading

Zusammenfassung

Dieses Notebook führt eine zuvor ausgewählte Konfiguration für US-Aktien mit Holdout-Prognosen aus. Das ausgewählte Modell, die Prognosen, der Allokator, die Konzentration, das Risiko-Overlay, der Rebalancing-Takt und die Annahmen zu Transaktionskosten werden aus früheren Phasen übernommen. Die zentrale Methode besteht darin, den passenden Holdout-Prognosedatensatz aus Trainingsidentität und Prüfpunkt abzuleiten und dann den Backtest auszuführen, ohne weitere Entscheidungen anhand der Holdout-Performance zu treffen.

Bei Allokatoren, die Positionen anhand konformer Breiten dimensionieren, stammt die Kalibrierung aus Validierungsresiduen; Beobachtungen, deren zukünftiger Renditehorizont den Holdout überlappen würde, werden ausgeschlossen. Das Notebook verhindert die Registrierung eines anderen Backtests für denselben Holdout-Prognosedatensatz, indem es vor der Ausführung die Backtest-Identität prüft. Es gibt Validierungs- und Holdout-Kennzahlen nebeneinander aus, warnt jedoch ausdrücklich, dass ihre Differenz keine Schätzung des Strategieverfalls ist: Das Validierungsergebnis wurde aus einer breiten Suche ausgewählt, während der Holdout eine einzelne Messung über einen wesentlich kürzeren Zeitraum darstellt. Das Notebook stellt daher ein Ergebnis für die übernommene Konfiguration fest, aber keinen Beweis dafür, dass diese optimal oder dauerhaft ist.

Kernaussagen

  • Holdout-Ergebnisse sind nur aussagekräftig, wenn Strategieentscheidungen vor der Prüfung des Holdouts feststehen.
  • Die passenden Holdout-Prognosen werden aus Trainingsidentität und Prüfpunkt der Konfiguration abgeleitet.
  • Bei der konformen Kalibrierung müssen Validierungsresiduen ausgeschlossen werden, deren Label-Horizonte den Holdout überlappen.
  • Schutzprüfungen der Backtest-Identität berücksichtigen alle Eingaben, die ein Ergebnis verändern können.
  • Eine Kennzahlendifferenz zwischen Validierung und Holdout allein kann keinen Strategieverfall belegen.

Schlagwörter

Volltext
# 21_holdout_backtest.py


```py
# ---
# jupyter:
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#     text_representation:
#       extension: .py
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#       format_version: '1.3'
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#   kernelspec:
#     display_name: Python 3 (ipykernel)
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# ---

# %% [markdown]
# # US equities panel: trading the holdout predictions
#
# [`20_holdout_predictions`](20_holdout_predictions.ipynb) refitted the selected configuration on
# the history before the holdout window and wrote its predictions over it. This notebook trades
# them, with the concentration, the allocator, the risk overlay and the cost assumption the rest
# of the case study used, and registers the result.
#
# **Nothing is chosen here.** The predictions, the allocator, the concentration, the rebalance
# cadence, the overlay and the charge all arrive fixed from earlier notebooks, and the only thing
# this notebook decides is that they are applied unchanged. That is the whole design: a holdout
# result is worth something exactly to the extent that no decision was made after seeing it, and
# every knob left open here would be a decision.
#
# The comparison to validation is printed but not interpreted. The validation figure is the
# maximum of a ranking over the whole sweep and the holdout figure is one measurement over a
# window of about two and a quarter years; what can be said about the gap between them is
# [`22_strategy_analysis`](22_strategy_analysis.ipynb)'s subject, with the intervals to say it.
#
# **Learning objectives**
#
# - Derive which holdout prediction set belongs to a configuration rather than searching for one,
#   and say what a search would have to guess.
# - Explain why an allocator that sizes by a conformal width needs a calibration embargo on this
#   panel, and which declaration sets its length.
# - Say why the guard that admits a run to the holdout is written on the backtest hash rather
#   than on a list of fields.
# - Read a validation figure and a holdout figure side by side without treating their difference
#   as an estimate of decay.
#
# **Book reference**: Chapter 20, Section 20.2
#
# **Prerequisites**: [`20_holdout_predictions`](20_holdout_predictions.ipynb) has registered the
# refit and its prediction set.
#
# **What it writes**: one backtest, registered at `stage='holdout'`. No selection, and no
# comparison beyond a printed pair.

# %%
"""US equities panel: trade the holdout predictions under the selected configuration."""

import json
import sqlite3

import polars as pl

from case_studies.research import open_study
from case_studies.research.holdout import build_holdout_training_spec
from case_studies.utils.backtest_loaders import get_backtest_config, load_backtest_prices_for
from case_studies.utils.backtest_presets import ensure_backtest_spec, strategy_view
from case_studies.utils.backtest_runner import resolved_allow_short_selling, run_backtest
from case_studies.utils.conformal import (
    compute_holdout_conformal_widths,
    ensure_conformal_calibration_identity,
    holdout_conformal_embargo_steps,
)
from case_studies.utils.registry import (
    backtest_run_status,
    read_predictions,
    training_hash_from_spec,
)
from case_studies.utils.strategy_analysis import resolve_solvent_carrier
from utils.paths import get_case_study_dir

# %% tags=["parameters"]
CASE_STUDY_ID = "us_equities_panel"
EXECUTION_TIER = "canonical"
WORKSPACE: str = ""
MAX_SYMBOLS = 0

# %%
study = open_study(CASE_STUDY_ID, execution_tier=EXECUTION_TIER, workspace=WORKSPACE or None)
CASE_DIR = get_case_study_dir(CASE_STUDY_ID)
bt_config = get_backtest_config(CASE_STUDY_ID)


def _registered_holdout_backtests(case_dir, prediction_hash):
    """The backtest hashes already registered against one holdout prediction set."""
    with sqlite3.connect(str(case_dir / "run_log" / "registry.db")) as conn:
        rows = conn.execute(
            "SELECT backtest_hash FROM backtest_runs WHERE prediction_hash = ? "
            "ORDER BY backtest_hash",
            (prediction_hash,),
        ).fetchall()
    return [backtest_hash for (backtest_hash,) in rows]


# %% [markdown]
# ## 1. The configuration, and the predictions it produced on the holdout
#
# The selected configuration is resolved the same way [`19_costs`](19_costs.ipynb) and
# [`20_holdout_predictions`](20_holdout_predictions.ipynb) resolve it, so all three run the same
# configuration by construction rather than by a hash copied between them.
#
# Which holdout prediction set belongs to it is derived rather than searched for. Re-deriving the
# holdout training specification reproduces the training identity 20 registered - the derivation
# is deterministic and the identity covers it - so the prediction set is looked up by that
# identity and the selected configuration's checkpoint. A search over holdout prediction sets
# would have to guess which one belonged to this configuration.

# %%
carrier = resolve_solvent_carrier(CASE_STUDY_ID)
LABEL = carrier["label"]
validation_prediction_record = study.results.open(carrier["val_prediction_hash"]).registry_record()

holdout_spec = build_holdout_training_spec(
    study,
    study.results.open(carrier["training_hash"]).spec(),
    timeline=(
        pl.read_parquet(study.root / "labels" / f"{LABEL}.parquet")
        .get_column("timestamp")
        .unique()
        .sort()
        .to_list()
    ),
    case_study=CASE_STUDY_ID,
)
holdout_training_hash = training_hash_from_spec(holdout_spec)

with sqlite3.connect(str(CASE_DIR / "run_log" / "registry.db")) as conn:
    match = conn.execute(
        """
        SELECT prediction_hash FROM prediction_sets
        WHERE split = 'holdout' AND training_hash = ?
          AND checkpoint_kind IS ? AND checkpoint_value IS ?
        """,
        (
            holdout_training_hash,
            validation_prediction_record["checkpoint_kind"],
            validation_prediction_record["checkpoint_value"],
        ),
    ).fetchone()
if match is None:
    raise RuntimeError(
        f"No holdout prediction set for training {holdout_training_hash}. Run "
        "20_holdout_predictions first; this notebook does not fit."
    )
HOLDOUT_PREDICTION_HASH = match[0]

print(f"Selected configuration: {carrier['val_backtest_hash']}  {carrier['config_name']} ({LABEL})")
print(f"Holdout training:   {holdout_training_hash}")
print(f"Holdout prediction: {HOLDOUT_PREDICTION_HASH}")

# %% [markdown]
# ## 2. Calibration, where the allocator needs it
#
# An allocator that sizes by a conformal width is calibrated from errors the model has already
# made, and on the holdout there are none to use: an error is usable only once the return it
# measures has been realised, and every holdout return realises inside the window being
# evaluated. Such a configuration takes its widths from the validation residuals of the
# validation prediction set, which is what the allocator would have had standing at the start of
# the window.
#
# The embargo matters on this panel and its length is not the same for every label. A residual
# observed at `t` measures a return realising over the label's horizon, so for `fwd_ret_5d` or
# `fwd_ret_21d` the last residuals of the validation span reach into the holdout window, and
# calibrating on them would size holdout positions with holdout price information. The step count
# comes from the reviewed table in `conformal.py`, which records one horizon per label rather
# than one per case study.
#
# The branch is here rather than assumed away because the selected configuration can change:
# `conformal_weighted` is one of the seven allocators this case study sweeps, so it can carry the
# selection. When it does not, the line below says so rather than staying silent, which is what
# tells a reader the branch was evaluated.
#
# The widths themselves are NOT written here. Writing them replaces the artifact an already
# registered run was sized by, and the replacement guard in section 3 can still refuse this run
# afterwards - which would leave the registered holdout pointing at a calibration that no longer
# existed. The write is below the guard.

# %% tags=["results"]
allocation = strategy_view(json.loads(carrier["spec_json"])).get("allocation") or {}
NEEDS_CALIBRATION = allocation.get("method") == "conformal_weighted"
embargo_steps = holdout_conformal_embargo_steps(CASE_STUDY_ID, LABEL) if NEEDS_CALIBRATION else 0
if NEEDS_CALIBRATION:
    print(f"Conformal configuration: embargo {embargo_steps} observation(s), widths written below.")
else:
    print(f"Allocator {allocation.get('method', 'equal_weight')!r} needs no calibration.")

# %% [markdown]
# ## 3. The backtest
#
# The strategy specification is the selected configuration's own, re-pointed at the holdout
# prediction set and the holdout price window. Nothing else about it changes - the
# concentration, the allocator, the risk overlay and the commission and slippage levels are the
# ones `setup.yaml` declares and every validation number in this case study was net of.
#
# The run registers under `stage='holdout'`, which the registry derives from the prediction set's
# split rather than from anything asserted here - and that derivation takes precedence over the
# risk block a risk-stage configuration carries, which would otherwise file this as another risk
# overlay.
#
# **The window carries one backtest**, for the same reason 20 lets it carry one prediction
# generation. 20's guard is on the model - the training identity and the checkpoint - and it
# cannot see this one: a changed allocator, overlay, cost level or calibration produces the same
# holdout predictions and a different result from them. Like 20's, this guard refuses rather than
# offering a replacement, because deleting a result that has been seen does not unsee it.
#
# The test is the backtest hash, not a field-by-field comparison. Every input that changes the
# result is in that hash by construction, and a guard naming fields instead has to be right about
# all of them. The hash is resolved before anything runs, so nothing is evaluated on the holdout
# before the question is answered, and it comes from `backtest_run_status` - the call the runner
# itself makes - because asking it is the only way to be sure the guard and the runner agree
# about identity. The run asserts they still agree afterwards, because a guard that had quietly
# stopped predicting the hash would let everything through while looking correct.

# %% tags=["results"]
prices = load_backtest_prices_for(CASE_STUDY_ID, LABEL, split="holdout", max_symbols=MAX_SYMBOLS)
predictions = read_predictions(CASE_STUDY_ID, HOLDOUT_PREDICTION_HASH)
print(f"Prices: {len(prices):,} rows, {prices['symbol'].n_unique():,} names")
print(f"Predictions: {predictions.height:,} rows, {predictions['timestamp'].n_unique():,} sessions")

spec = ensure_backtest_spec(
    CASE_STUDY_ID,
    bt_config,
    json.loads(carrier["spec_json"]),
    prices=prices,
    prediction_hash=HOLDOUT_PREDICTION_HASH,
    initial_cash=bt_config.initial_cash,
)
spec["chapter"] = "ch20"
# The embargo goes into the specification before anything hashes it. The widths are an input to
# this backtest and the embargo decides them, so two embargoes are two results and must not share
# an identity.
if NEEDS_CALIBRATION:
    spec = ensure_conformal_calibration_identity(spec, holdout_embargo_steps=embargo_steps)

spec["backtest_config"]["account"]["allow_short_selling"] = resolved_allow_short_selling(spec, None)
prospective_hash = backtest_run_status(CASE_STUDY_ID, HOLDOUT_PREDICTION_HASH, spec).backtest_hash
superseded_backtests = sorted(
    set(_registered_holdout_backtests(CASE_DIR, HOLDOUT_PREDICTION_HASH)) - {prospective_hash}
)
if superseded_backtests:
    raise RuntimeError(
        "the holdout window already carries a backtest of a different configuration: "
        + ", ".join(superseded_backtests)
        + f". This run would register {prospective_hash} and has not run. Same rule as "
        "20_holdout_predictions: discarding the earlier result would not undo having observed "
        "it, so there is no switch here. Leave the selection where it was, or retire the earlier "
        "evaluation through the registry's lifecycle."
    )

# The guard has passed, so this run will register and the widths it is sized by are the ones that
# belong beside this prediction set.
if NEEDS_CALIBRATION:
    widths = compute_holdout_conformal_widths(
        CASE_STUDY_ID,
        carrier["val_prediction_hash"],
        HOLDOUT_PREDICTION_HASH,
        alpha=float(allocation.get("alpha", 0.2)),
        min_calibration_n=int(allocation["min_calibration_n"]),
        embargo_steps=embargo_steps,
        write=True,
    )
    print(
        f"Conformal widths: {widths.height:,} rows over "
        f"{widths['symbol'].n_unique():,} names, embargo {embargo_steps} observation(s)"
    )

result = run_backtest(
    CASE_STUDY_ID,
    HOLDOUT_PREDICTION_HASH,
    spec,
    prices=prices,
    predictions=predictions,
    label=LABEL,
    register=True,
    initial_cash=bt_config.initial_cash,
    calendar=bt_config.calendar,
)
if result.backtest_hash != prospective_hash:
    raise RuntimeError(
        f"the guard predicted {prospective_hash} and the runner registered "
        f"{result.backtest_hash}. The guard decides what may run on the holdout, so a guard that "
        "no longer reproduces the runner's identity is not a smaller problem than the one it was "
        "written for."
    )
print(f"Holdout backtest: {result.backtest_hash}")

# The stage is checked rather than trusted. A configuration drawn from the risk stage carries a
# risk block in its spec, and stage inference reads the prediction's split before that block - so
# a holdout run files as `holdout`. If that order ever changes, the whole out-of-sample result
# lands in `risk_overlay` and `22_strategy_analysis` finds no holdout at all, which is a failure
# two notebooks away from its cause.
with sqlite3.connect(str(CASE_DIR / "run_log" / "registry.db")) as conn:
    registered_stage = conn.execute(
        "SELECT stage FROM backtest_runs WHERE backtest_hash = ?", (result.backtest_hash,)
    ).fetchone()[0]
if registered_stage != "holdout":
    raise RuntimeError(
        f"the holdout backtest registered under stage={registered_stage!r} rather than "
        "'holdout'; the split-based inference in registry.store._infer_stage did not take "
        "precedence over this configuration's risk block"
    )

# %% [markdown]
# ## 4. What it came out at
#
# The two numbers below are one strategy measured on two disjoint periods, and the gap between
# them is not an estimate of decay. The validation figure is the maximum of a ranking over the
# whole sweep, so it carries the selection; the holdout figure is one measurement over a much
# shorter window, so it carries that window's sampling error. Both push the pair apart on their
# own, before any real change in the strategy's edge.
# [`22_strategy_analysis`](22_strategy_analysis.ipynb) is where they are given intervals and a
# paired comparison.

# %% tags=["results"]
metrics = result.metrics
# The selected configuration's own registered Sharpe, not the resolver's. `resolve_solvent_carrier`
# reports the common-support figure, which re-ranks candidates on the timestamps every one of them
# covers; that is the right number for choosing between candidates and the wrong one to set beside
# a holdout measured over its own full window. Both are printed, so neither has to be inferred
# from the other.
with sqlite3.connect(str(CASE_DIR / "run_log" / "registry.db")) as conn:
    carrier_sharpe, carrier_periods, carrier_trades = conn.execute(
        "SELECT sharpe, n_periods, num_trades FROM backtest_metrics WHERE backtest_hash = ?",
        (carrier["val_backtest_hash"],),
    ).fetchone()

print(f"Validation Sharpe over {int(carrier_periods):,} sessions: {carrier_sharpe:.3f}")
print(f"  the same run re-ranked on common support: {carrier['val_sharpe']:.3f}")
print(
    f"Holdout Sharpe over {int(metrics['n_periods']):,} sessions:    "
    f"{metrics.get('sharpe', float('nan')):.3f}"
)
print(
    f"Holdout: CAGR {metrics.get('cagr', float('nan')):.1%}, "
    f"max drawdown {metrics.get('max_drawdown', float('nan')):.2%}, "
    f"win rate {metrics.get('win_rate', float('nan')):.0%}"
)
# A trade count is recorded only by the bar-by-bar engine; a vectorized weight-times-return path
# stores NULL, and [`18_risk_management`](18_risk_management.ipynb) reads the same three states
# off the same column. So the pair is printed when both sides have one and the absence is named
# when they do not, rather than a null being formatted as zero. Where both exist, a holdout that
# rebalanced far less than the validation run at the same cadence would say the basket stopped
# changing, which is a different thing from a lower Sharpe.
holdout_trades = metrics.get("num_trades")
if holdout_trades is None or carrier_trades is None:
    print(
        "Trades: not recorded on "
        + " and ".join(
            name
            for name, value in (("the holdout", holdout_trades), ("validation", carrier_trades))
            if value is None
        )
        + " - this run went through the vectorized path, which stores no trade count"
    )
else:
    print(f"Trades: {int(holdout_trades):,} on the holdout, {int(carrier_trades):,} on validation")

# %% [markdown]
# ## What this notebook establishes, and what it does not
#
# It establishes a return series for the selected configuration over a period no choice in this
# case study was made on. That is the only thing a holdout can give, and it is worth less than it
# looks: the window is short beside the validation span it is being compared with, which is too
# few observations to separate a strategy that decayed from one that had an ordinary couple of
# years.
#
# It does not establish that this configuration was the right one to carry here. The selection
# that brought it was made on validation, over a pool large enough that its maximum is optimistic
# by construction, and this notebook inherits that pool without correcting for it. The deflation
# is [`22_strategy_analysis`](22_strategy_analysis.ipynb)'s.
#
# Re-running this notebook against the same configuration is free and idempotent: the backtest
# hash is unchanged and the registered run is served back. A different configuration is refused,
# for the reason 20 gives.
#
# **Next:** [`22_strategy_analysis`](22_strategy_analysis.ipynb).

```

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