Relations among conditional probabilities

Relations among conditional probabilities

We describe a Gröbner basis of relations among conditional probabilities in a discrete probability space, with any set of conditioned-upon events. They may be specialized to the partially-observed random variable case, the purely conditional case, and other special cases. We also investigate the connection to generalized permutohedra and describe a “conditional probability simplex.” 1 Relations...

Quantum Conditional Probabilities Are Not Probabilities of Quantum Conditional

Probabilities of Conditionals and Conditional Probabilities Ii

A dams's thesis about indicative conditionals is that their assertIlability goes by the conditional subjective probability of the consequent given the antecedent, in very much the same way that assertability normally goes by the subjective probability of truth.' The thesis is well established; the remaining question is how it may best be explained. The nicest explanation would be that the truth...

Propensities and conditional probabilities

The present paper deals with the objection that Paul Humphreys raised against the propensity interpretation of probability "Humphreys' paradox". An update on existing solutions is o ered, and it is concluded that none of them is completely satisfactory in view of Humphreys' 2004 rejoinder. Positively, an original solution is formulated and discussed.

Robust Conditional Probabilities

Conditional probabilities are a core concept in machine learning. For ex-ample, optimal prediction of a label Y given an inputX corresponds to maximizingthe conditional probability of Y given X . A common approach to inference tasksis learning a model of conditional probabilities. However, these models are oftenbased on strong assumptions (e.g., log-linear models), and hence the...