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david-cortes avatar david-cortes commented on August 19, 2024

It is a hyperparameter that should be tuned. The formula from the reference is calculated with information that you don't have for an online policy like this, and which includes probabilistic terms. The formula that you are thinking about is not the same thing LinTS is doing (see LogisticTS).

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douglasmason avatar douglasmason commented on August 19, 2024

Can you please elaborate? There are two formulas I mentioned and it’s not clear which you’re referring to. The first comes from residuals (empirical) and is standard statistics requiring the entire training dataset, and the second comes from the Agarwal paper. Are you saying the Agarwal algorithm cannot be implemented in an online fashion?

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david-cortes avatar david-cortes commented on August 19, 2024

LinTS is based on the reference from Agrawal, and has a hyperparameter v_sq. It is meant for an online scenario with incremental updates. LogisticTS's formula comes from standard statistics (for a logistic model), and does not support incremental updates.

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