Research note

Neural Poisson: a nonlinear extension of Dixon-Coles

Status: Shipped (Model 19, 4th ensemble component)Backtest date: 29 June 2026Topline + full note · 1,504 words

Topline

The ensemble's three existing models share a structural constraint: they compute expected goal rates as an additive function in log-space. Elo converts rating differences through a logistic. Dixon-Coles estimates log(λ) = attack_home - defense_away + home_adv. The hierarchical Poisson does the same with partial pooling. All three assume that a team's attacking strength contributes independently of which specific opponent they face.

This misses pairwise interactions. A high-pressing team may c…

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