What is data adaptive?
"Data-adaptive representation - Page 15 This category of time series representations assembles techniques which take into account the underlying data and adjust their parameters accordingly. Almost any non-data adaptive approach can become data adaptive by adding a parameter selection step [Esling and Agon, 2012].
What is adaptive method?
The adaptive methods deal with the problem of estimating and testing hypotheses about a parameter of interest θ in the presence of nuisance parameter ν. The fact that ν remains unspecified induces, in general, a loss of efficiency with the situation where ν is exactly specified.