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Adaptive Free-Knot Splines And Inference - Satoshi Miyata
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Satoshi Miyata:

Adaptive Free-Knot Splines And Inference - gebrauchtes Buch

ISBN: 9783639173451

ID: 9783639173451

In this book, we propose a function estimation procedure using adaptive free-knot splines (AFKS) and associated algorithm for implementation in nonparametric regression. Knot selection is extremely important for estimating a function with complicated structure by spline functions. The AFKS allows variable knot numbers and replacements of knots at any locations and multiple knots at the same location. This flexibility leads to an adaptive spline estimator that adapts to any function with In this book, we propose a function estimation procedure using adaptive free-knot splines (AFKS) and associated algorithm for implementation in nonparametric regression. Knot selection is extremely important for estimating a function with complicated structure by spline functions. The AFKS allows variable knot numbers and replacements of knots at any locations and multiple knots at the same location. This flexibility leads to an adaptive spline estimator that adapts to any function with inhomogeneous smoothness, including a sharp kink or discontinuity, which substantially improves the representation power of splines. A new knot selection scheme is proposed, by utilizing an adaptive model selection criterion (AMSC) and an Evolutionary Algorithm (EA). The AMSC guards against the selection error in searching through a large candidate knot space, while the EA enables us to search the global minima of AMSC. The performance of the AFKS is examined via simulations, which demonstrates its superiority over the existing spline methods and wavelet estimators. This book would be useful for researchers who analyze real and complex data structures. Textbooks New, Books~~Mathematics~~Probability & Statistics~~General, Adaptive-Free-Knot-Splines-And-Inference~~Satoshi-Miyata, 999999999, Adaptive Free-Knot Splines And Inference, Satoshi Miyata, 3639173457, VDM Verlag, , , , , VDM Verlag

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ADAPTIVE FREE-KNOT SPLINES AND INFERENCE - Satoshi Miyata
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Satoshi Miyata:

ADAPTIVE FREE-KNOT SPLINES AND INFERENCE - Taschenbuch

2009, ISBN: 3639173457

ID: 9852880215

[EAN: 9783639173451], Neubuch, [PU: VDM Verlag Aug 2009], This item is printed on demand - Print on Demand Titel. Neuware - In this book, we propose a function estimation procedure using adaptive free-knot splines (AFKS) and associated algorithm for implementation in nonparametric regression. Knot selection is extremely important for estimating a function with complicated structure by spline functions. The AFKS allows variable knot numbers and replacements of knots at any locations and multiple knots at the same location. This flexibility leads to an adaptive spline estimator that adapts to any function with inhomogeneous smoothness, including a sharp kink or discontinuity, which substantially improves the representation power of splines. A new knot selection scheme is proposed, by utilizing an adaptive model selection criterion (AMSC) and an Evolutionary Algorithm (EA). The AMSC guards against the selection error in searching through a large candidate knot space, while the EA enables us to search the global minima of AMSC. The performance of the AFKS is examined via simulations, which demonstrates its superiority over the existing spline methods and wavelet estimators. This book would be useful for researchers who analyze real and complex data structures. 108 pp. Englisch

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ADAPTIVE FREE-KNOT SPLINES AND INFERENCE - Miyata, Satoshi
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Miyata, Satoshi:
ADAPTIVE FREE-KNOT SPLINES AND INFERENCE - Taschenbuch

2009

ISBN: 9783639173451

[ED: Softcover], [PU: Vdm Verlag Dr. Müller], In this book, we propose a function estimation procedure using adaptive free-knot splines (AFKS) and associated algorithm for implementation in nonparametric regression. Knot selection is extremely important for estimating a function with complicated structure by spline functions. The AFKS allows variable knot numbers and replacements of knots at any locations and multiple knots at the same location. This flexibility leads to an adaptive spline estimator that adapts to any function with inhomogeneous smoothness, including a sharp kink or discontinuity, which substantially improves the representation power of splines. A new knot selection scheme is proposed, by utilizing an adaptive model selection criterion (AMSC) and an Evolutionary Algorithm (EA). The AMSC guards against the selection error in searching through a large candidate knot space, while the EA enables us to search the global minima of AMSC. The performance of the AFKS is examined via simulations, which demonstrates its superiority over the existing spline methods and wavelet estimators. This book would be useful for researchers who analyze real and complex data structures.2009. 108 S. 220 mmVersandfertig in 3-5 Tagen, [SC: 0.00]

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ADAPTIVE FREE-KNOT SPLINES AND INFERENCE: Free-knot splines and adaptive model selection - Satoshi Miyata
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Satoshi Miyata:
ADAPTIVE FREE-KNOT SPLINES AND INFERENCE: Free-knot splines and adaptive model selection - Taschenbuch

ISBN: 3639173457

Taschenbuch, [EAN: 9783639173451], VDM Verlag, VDM Verlag, Book, [PU: VDM Verlag], VDM Verlag, 56254011, Wahrscheinlichkeit & Statistik, 56248011, Angewandte Mathematik, 56214011, Mathematik, 56047011, Fachbücher, 54071011, Genres, 52044011, Fremdsprachige Bücher

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ADAPTIVE FREE-KNOT SPLINES AND INFERENCE - Miyata, Satoshi
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Miyata, Satoshi:
ADAPTIVE FREE-KNOT SPLINES AND INFERENCE - Taschenbuch

2009, ISBN: 3639173457

ID: 13788107291

[EAN: 9783639173451], Neubuch, This item is printed on demand for shipment within 3 working days., [PU: VDM Verlag Dr. Müller, Saarbrücken]

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ADAPTIVE FREE-KNOT SPLINES AND INFERENCE
Autor:

Miyata, Satoshi

Titel:

ADAPTIVE FREE-KNOT SPLINES AND INFERENCE

ISBN-Nummer:

9783639173451

In this book, we propose a function estimation procedure using adaptive free-knot splines (AFKS) and associated algorithm for implementation in nonparametric regression. Knot selection is extremely important for estimating a function with complicated structure by spline functions. The AFKS allows variable knot numbers and replacements of knots at any locations and multiple knots at the same location. This flexibility leads to an adaptive spline estimator that adapts to any function with inhomogeneous smoothness, including a sharp kink or discontinuity, which substantially improves the representation power of splines. A new knot selection scheme is proposed, by utilizing an adaptive model selection criterion (AMSC) and an Evolutionary Algorithm (EA). The AMSC guards against the selection error in searching through a large candidate knot space, while the EA enables us to search the global minima of AMSC. The performance of the AFKS is examined via simulations, which demonstrates its superiority over the existing spline methods and wavelet estimators. This book would be useful for researchers who analyze real and complex data structures.

Detailangaben zum Buch - ADAPTIVE FREE-KNOT SPLINES AND INFERENCE


EAN (ISBN-13): 9783639173451
ISBN (ISBN-10): 3639173457
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2009
Herausgeber: VDM Verlag
108 Seiten
Gewicht: 0,180 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 19.11.2009 19:32:09
Buch zuletzt gefunden am 15.01.2016 03:22:16
ISBN/EAN: 9783639173451

ISBN - alternative Schreibweisen:
3-639-17345-7, 978-3-639-17345-1

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