backfitting การใช้

• In general, estimation in FGAM requires combining IWLS with backfitting.
• It was then shown that the backfitting algorithm will always converge for these functions.
• As well, the solution found by the backfitting procedure is non-unique.
• A disadvantage is that backfitting is difficult to integrate with well founded methods for choosing the degree of smoothness of the.
• An exact solution of this is infeasible to calculate for large np, so the iterative technique of backfitting is used.
• A modification of the backfitting algorithm involving projections onto the eigenspace of " S " can remedy this problem.
• It is not clear that any step-wise ( i . e . backfitting algorithm ) approach could even approximate a solution.
• The black-and-white image is output through the coaxial RF antenna port on a standard TV, the backfitting of color representation are possible.
• Looking at the abbreviated form it is easy to see the backfitting algorithm as equivalent to the Gauss & ndash; Seidel method for linear smoothing operators " S ".
• Gaussian predictor function X ), they will be independent in which case backfitting is not needed, and one can use popular smoothing methods for estimating the unknown parameter functions f _ j.
• The original GAMs were a form of Nonparametric regression, and estimated using the backfitting algorithm, which provides a very general modular estimation method capable of using a wide variety of smoothing methods to estimate the.
• The frequencies are chosen using a method similar to Barning's, but going further in optimizing the choice of each successive new frequency by picking the frequency that minimizes the residual after least-squares fitting ( equivalent to the fitting technique now known as matching pursuit with pre-backfitting ).
• In 1963, J . F . M . Barning of Mathematisch Centrum, Amsterdam, handled unequally spaced data by similar techniques, including both a periodogram analysis equivalent to what is now referred to the Lomb method, and least-squares fitting of selected frequencies of sinusoids determined from such periodograms, connected by a procedure that is now known as matching pursuit with post-backfitting or orthogonal matching pursuit.