BIB-VERSION:: CS-TR-v2.0
          ID:: STAN//CS-TR-80-799
       ENTRY:: June 08, 1995
ORGANIZATION:: Stanford University, Department of Computer Science
       TITLE:: Multidimensional additive spline approximation
        TYPE:: Technical Report
      AUTHOR:: Friedman, Jerome H.
      AUTHOR:: Grosse, Eric
      AUTHOR:: Stuetzle, Werner
        DATE:: May 1980
       PAGES:: 26
    ABSTRACT:: We describe an adaptive procedure that approximates a
               function of many variables by a sum of (univariate) spline
               functions $s_m$ of selected linear combinations $a_m \cdot x$
               of the coordinates $\theta (x) = \sum_{1\le m\le M} s_m (a_m
               \cdot x)$. The procedure is nonlinear in that not only the
               spline coefficients but also the linear combinations are
               optimized for the particular problem. The sample need not lie
               on a regular grid, and the approximation is affine invariant,
               smooth, and lends itself to graphical interpretation.
               Function values, derivatives, and integrals are cheap to
               evaluate.
       NOTES:: [Adminitrivia V1/Prg/19950608]
         END:: STAN//CS-TR-80-799