Sabyasachi Chatterjee, Subhajit Goswami, ADAPTIVE ESTIMATION OF MULTIVARIATE PIECEWISE POLYNOMIALS AND BOUNDED VARIATION FUNCTIONS BY OPTIMAL DECISION TREES, The Annals of Statistics, Vol. 49, No. 5 ...

We define two functions f and g on the unit interval [0, 1] to be strongly conjugate $\operatorname {iff}$ there is an order-preserving homeomorphism h of [0, 1] such that g = h -1 fh (a minor ...