Abstract | ||
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In a companion paper (see Self-Similarity: Part I-Splines and Operators), we characterized the class of scale-invariant convolution operators: the generalized fractional derivatives of order gamma. We used these operators to specify regularization functionals for a series of Tikhonov-like least-squares data fitting problems and proved that the general solution is a fractional spline of twice the o... |
Year | DOI | Venue |
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2007 | 10.1109/TSP.2006.890845 | IEEE Transactions on Signal Processing |
Keywords | Field | DocType |
Fractals,Spline,Smoothing methods,Convolution,Fast Fourier transforms,Stochastic processes,Brownian motion,Technological innovation,Probability density function,1f noise | Spline (mathematics),Mathematical optimization,Conditional probability distribution,Smoothing spline,Hurst exponent,Conditional expectation,Fractional calculus,Fractional Brownian motion,Mathematics,Estimator | Journal |
Volume | Issue | ISSN |
55 | 4 | 1053-587X |
Citations | PageRank | References |
16 | 1.18 | 13 |
Authors | ||
2 |