We show that to every recursive total continuous functional there is a total functional below it that is S1-S9 computable in the hierarchy of partial continuous functionals, or equivalently, that is PCF-definable in the ...

We investigate domains with totality where density in general does not hold. We define three categories of domains with totality satisfying certain structural properties. These will induce domains with totality. We show ...

Suppose that a sequence of data points follows a distribution of a certain parametric form, but that one or more of the underlying parameters may change over time. This paper addresses various natural questions in such a ...

Independent data are efficiently integrated by adding their respective log-likelihoods. Instead of Bayesian updating of information, We propose to use the likelihood directly as a vehicle for coherent learning. If past ...