Think of it this way. We want to use a BRO to answer questions. We know it’s very powerful, but at first, we don’t have a clue as to how to answer questions with it. So we implement a Bayesian mixture-of-experts, which we call the “market”. Each “trader” is a question-answering strategy: a way to use the BRO to answer questions. We give each possible strategy for using the BRO some weight. However, our “market” is itself a BRO computation. So, each trader has access to the market itself (in addition to many other computations which the BRO can access for them).
But a BRO only has oracle access to machines using smaller BROs, right? So a trader can’t access the market?
(I don’t think very much directly about the tree-size-limited version of HCH, normally I think of bounded versions like HCH(P) = “Humans consulting P’s predictions of HCH(P)”.)
But a BRO only has oracle access to machines using smaller BROs, right? So a trader can’t access the market?
(I don’t think very much directly about the tree-size-limited version of HCH, normally I think of bounded versions like HCH(P) = “Humans consulting P’s predictions of HCH(P)”.)
Should this be “consulting P’s predictions”? If not, what are M and P?
If so, should I be thinking of P as the one obtained in the limit of HCH(P) = “Humans consulting P’s predictions of HCH(P_previous)”?