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About this paper

Jeffrey B. Lai, John Quinn, Anthony Bao, William Gilpin

The authors present test-time forecasting, repeatedly fitting a one-step predictor to trajectory context to forecast unfamiliar dynamics. For linear systems, implicit updates connect linear attention with DMD; nonlinear models fit propagators in learned features or update fast weights. On selected synthetic ODE and PDE families, added iterations improve out-of-distribution rollouts, as in Duffing, but do not establish real-world foundation-model performance.

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