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Research · 研究 · 23 · Statistics

The curve looks magnificent. That was the selection criterion.

19 Aug 20265 min readMethodologyKoryu Research

This article explains a research failure mode and the defenses we use against it in our own work. It is educational material, not investment advice. Decisions are yours.

Overfitting is mistaking memory for understanding: a strategy tuned until it fits the past perfectly has often learned the past's noise, not the market's structure, and noise does not repeat. Every market punishes this. Crypto punishes it harder, because nearly everything about this asset class makes overfitting easier to produce, harder to detect, and more expensive to discover live.

The concept, without the jargon

Fit a rule to history and two things get captured at once: the signal, whatever durable behavior actually recurs, and the noise, the accidents particular to those specific years. A simple rule with few knobs mostly captures signal because it lacks the flexibility to memorize accidents. Every added knob, threshold, filter, exception, buys a better-looking historical curve by memorizing more accidents, and the curve's improvement is indistinguishable, in sample, from genuine discovery. That is the trap's essential cruelty: overfit strategies do not look fragile, they look magnificent, precisely because they were selected for looking magnificent. The only tests that separate memory from understanding involve data the tuning never touched, which is the whole argument of walk-forward validation.

Five reasons crypto makes it worse

First, short history: majors offer roughly a decade of usable daily data and most assets far less, so there are few independent market episodes to learn from, and a rule can memorize them all. Second, regime concentration: a handful of manias and winters dominate every sample, so a strategy can succeed historically by accidentally keying on two events, a concentration we quantified in our own equity results where two years carried most of a five-year multiple. Separating that from skill is the whole job of the regime-vs-skill question. Third, volatility: enormous returns produce enormous spurious Sharpe ratios; a lucky year in crypto looks like a decade of equity genius. Fourth, breadth for cherry-picking: thousands of assets mean any rule finds some basket it would have aced, and the basket gets presented as the discovery. Fifth, a 24/7 mining surface: no closing bell means endless timeframes, sessions, and microstructure quirks to search, and every additional search silently raises the bar the result must clear, the trial-count problem next.

The trial-count arithmetic

Here is the piece of statistics every backtest consumer should own. Test enough worthless variants and the best one looks excellent by construction: the expected maximum of many random curves grows with the number tried. So the meaning of any backtest depends on a number usually kept offstage: how many variants were searched to find it? A Sharpe of 2 from the first and only configuration tried is remarkable. The same Sharpe as the best of five thousand configurations may be exactly what luck predicts. This is why our validation gates require disclosing the trial count and why the statistical seatbelts exist: the probability-of-overfitting test, which checks whether in-sample winners keep winning out-of-sample across thousands of sample splits, and the deflated Sharpe ratio, which recomputes significance against the number of trials. In our own equity audit those tests returned clean verdicts, PBO of 2.6% and a Sharpe surviving an assumed three thousand trials, and the same tests are pre-registered as pass-fail gates for anything this site ever ships.

The plateau principle

One working habit catches an outsized share of overfitting before any statistics run: prefer plateaus to peaks. When a parameter sweep shows performance rising smoothly to a broad flat region, the region is probably structure, because noise does not organize itself into plateaus. When one lone setting spikes above neighbors that all perform worse, the spike is probably an accident wearing a crown, and choosing it is volunteering to be fooled. Our house has twice declined exactly that crown, in equity exit-timing work and again in crypto confirmation research, where the archive's single best-performing variant was rejected in favor of the flat region beside it, a decision the later audit validated statistically. The habit costs a little in-sample glory and buys robustness, the trade this entire discipline exists to make.

Your defenses as a reader

Four questions strip most overfit presentations naked. How many variants were tried, and will you say? Which years tuned, which graded? Why these parameter values, is there a stated reason beyond "they tested best," and do neighboring values also work? And does the data include the crypto graveyard, because survivorship is overfitting's quiet accomplice, fitting to a past scrubbed of failures. A publisher with real process answers all four fluently, the way we have tried to here and in measurement vs advice. A publisher without one changes the subject to returns. The difference is audible in one conversation, which is cheaper than learning it from a drawdown. Decisions are yours.

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Frequently asked

What is overfitting in trading, in plain English?

Mistaking memory for understanding: a rule tuned until it fits historical accidents perfectly has learned noise, and noise does not repeat. Overfit strategies look magnificent in-sample precisely because looking magnificent was the selection criterion.

Why is crypto easier to overfit than other markets?

Five amplifiers: short usable history, a handful of dominant regimes a rule can memorize, volatility that turns luck into spectacular Sharpe ratios, thousands of assets enabling basket cherry-picking, and a 24/7 data surface offering endless variations to search.

What is the trial-count problem?

The best of many tested variants looks excellent by construction, so a backtest's meaning depends on how many variants were searched to find it. A Sharpe of 2 from one attempt is remarkable; the same figure as the best of five thousand attempts may be exactly what chance predicts.

What is the plateau principle?

Prefer broad flat regions of parameter space over lone spikes: noise does not organize itself into plateaus. A single setting that outperforms all its neighbors is usually an accident wearing a crown, and our house has twice declined exactly that crown, decisions later validated statistically.

How do PBO and deflated Sharpe help?

They are the seatbelts: PBO measures whether in-sample winners keep winning across thousands of sample splits, and the deflated Sharpe re-tests significance against the disclosed number of trials. Both are pre-registered pass-fail gates for anything this site ever ships.