Backtest vs live trading results: why 41 days isn't proof

Backtest vs live trading results hit the same statistical wall: a short live window cannot prove itself. The Sophon-3 paper, Version 1.0, July 2026, says this in plain words. Over about 41 trading days, roughly 0.16 years, even an information ratio of 3 produces a t-statistic near 1.2, far short of significance. So Finforge does not present the live record as significant on its own.

Why a short window has no power

The paper is direct about it. A t-statistic on an information ratio runs at roughly t about IR times the square root of years. Double the years and you cut the noise roughly in half. Over 0.16 years, that square root is small, so an eye-catching ratio still lands near 1.2. The point matters because the live window is short and the architecture is adaptive, which inflates researcher degrees of freedom. A quiet way for backtested results to look stronger than they are is to search many options and show only what worked.

Repeated charts are not repeated evidence

The 126-bar rolling information ratio is tempting. A smooth multi-month curve of numbers looks like confirmation after confirmation. The paper calls that out. A daily-sampled rolling ratio is heavily autocorrelated, so a smooth multi-month curve is approximately one independent block, not many confirmations. Finforge presents it as evidence of stability, not as repeated significance.

Four agents can be fewer than four proofs

Backtest vs live trading results get counted wrong in another quiet way. Four agents beating the benchmark is four pieces of evidence only if their active returns are weakly correlated. With an average pairwise correlation, rho-bar, the effective number of independent bets is Neff about N divided by the quantity 1 plus (N minus 1) times rho-bar. For the three-flow ablation panel the realized values are rho-bar of 0.31 and Neff of about 1.9, so four names behave more like two independent ideas. Finforge reports the correlation matrix and Neff so that "all four" is not over-counted. The four-agent live-panel matrix accompanies the August 2026 revision.

Backtest vs live trading results, counted honestly

The paper also owns the multiple-testing problem. Multiplicity comes from materially distinct graph variants, search spaces, universes, cost assumptions, and cadences, not from each online retrain. In the ablation suite each variant is compared to its own agent as a daily difference series, block-bootstrapped with 21-day blocks, and the panel estimate averages flows before bootstrapping. Twenty-one paired tests at 95% imply one or two chance significances, so conclusions rest on cross-flow consistency and pooled confidence intervals rather than any single cell. The realized panel correlation, rho-bar of 0.31 with Neff of about 1.9, is reported alongside.

Why this honesty is the point

This is what separates trust-building from cherry-picking. Backtest and live trading results that always look perfect are usually cooked. Finforge publishes the math that keeps its claims honest, including the realized panel correlation of 0.31 and Neff of about 1.9. The more correlated the agents, the fewer independent proofs the count deserves. A short live record treated as proof is the red flag. A short record that says out loud it is not proof is the opposite.

Questions people ask

Why can't 41 trading days prove a trading result?

Because significance scales with the square root of time. Even an information ratio of 3 over about 41 trading days gives a t-statistic near 1.2, below conventional thresholds. The paper does not present the live record as significant on its own.

What does a correlated set of agents mean for a track record?

Correlated active returns shrink the real sample size. With an average pairwise correlation of 0.31, the effective number of independent bets is about 1.9, so four related results carry roughly two independent confirmations. Finforge reports Neff so the count is not overstated.

Who is behind these numbers?

Finforge Research wrote the Sophon-3 paper and runs its trading agents in public, wins and losses included. Check the live results, benchmarks and drawdowns for every Sophon agent, and the Sophon-3 research summary. These figures describe past statistical analysis, not a promise of future returns. Past performance is not a guide to future returns.