Original title: An Entropic Factor Model for Robust Portfolio Replication
Argimiro Arratia, Henryk Gzyl · September 2026
Investors often try to copy a target benchmark by buying a smaller basket of assets. Doing this with standard math tools usually creates unstable portfolios. These setups borrow too much and crash easily when markets drop. To fix this, researchers built a two-stage method based on information theory. First, they connect asset returns to target factors using an entropy minimizationA method from information theory that finds the most probable solution given constraints. principle to keep parameters inside data-driven bounds. Next, they use that same entropy rule to pick the replication weights. Both steps rely on a Fermi-Dirac entropy function applied directly to the problem's constraints. Across five experiments, this model beat standard Ordinary Least Squares by lowering annualized turnover and boosting net-of-fees returns. It also works like a circuit breaker during market crashes and data errors by cutting capital to risky assets.
When packing for a trip with a limited suitcase, you try to cover all weather possibilities. But if you overpack for rain, your bag becomes too heavy to carry if it turns out sunny, or you might underpack for cold. In this paper, the entropic factor model chooses what to include in a portfolio like packing for uncertain weather—it automatically adjusts based on probabilities, leaving out risky items if conditions improve, keeping the portfolio light and adaptable during market shocks.
Investors and fund managers using standard methods can end up with fragile portfolios that fail during market shocks, leading to big losses. This model provides a way to build more stable portfolios that protect capital in crises like the COVID-19 crash.
The abstract does not discuss live trading results or long-term stability in real markets, only numerical experiments, and may not generalize to all conditions.
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An Entropic Factor Model for Robust Portfolio Replication — Argimiro Arratia, Henryk Gzyl
Abstract licence: CC0
Explanation generated by Synthesis from the abstract — it is not the original paper. This is a preprint, so it hasn't necessarily been peer reviewed.