TITLE

Enhancing convolution and interpolation methods for nonparametric regression

AUTHOR(S)
HALL, PETER; TURLACH, BERWIN A.
PUB. DATE
January 1997
SOURCE
Biometrika;1997, Vol. 84 Issue 4, p779
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
Following earlier work of Jones, Davies & Park (1994) we develop estimators based on convolution and interpolation methods, with the aim of reducing their variance and making them competitive with local linear smoothers. We argue that the classic convolution and interpolation approaches due to Gasser & Müller (1979) and Clark (1977) exhibit inflated variance on account of the relatively high variability of weights used in their construction. We show that, by convolving or interpolating over only a small additional number of design points, variance is reduced by a constant factor. Theoretical and numerical properties are summarised.
ACCESSION #
80081164

 

Related Articles

  • Smoothing Two-dimensional Malaysian Mortality Data using P-splines Indexed by Age and Year. Kamaruddin, Halim Shukri; Ismail, Noriszura // AIP Conference Proceedings;2014, Vol. 1602, p487 

    Nonparametric regression implements data to derive the best coefficient of a model from a large class of flexible functions. Eilers and Marx (1996) introduced P-splines as a method of smoothing in generalized linear models, GLMs, in which the ordinary B-splines with a difference roughness...

  • Smoothing splines with varying smoothing parameter. Wang, Xiao; Du, Pang; Shen, Jinglai // Biometrika;Dec2013, Vol. 100 Issue 4, p955 

    This paper considers the development of spatially adaptive smoothing splines for the estimation of a regression function with nonhomogeneous smoothness across the domain. Two challenging issues arising in this context are the evaluation of the equivalent kernel and the determination of a local...

  • A New Anisotropic Diffusion Filter for Image Smoothing. Chun-yan Yu; Ying Li; Ai-lian Liu; Bing-xin Liu; Peng Chen // Advances in Information Sciences & Service Sciences;Apr2012, Vol. 4 Issue 7, p129 

    In recent years, anisotropic diffusion filtering based on Partial Differential Equations (PDEs) has been widely used in image process. The key to image smoothing is to reduce the noise with retaining detailed edges. However, traditional anisotropic diffusion filter has a lot of disadvantages...

  • AN AUTOMATIC SCREENING METHOD TO DETECT OPTIC DISC IN THE RETINA. R., Murugan; Korah, Reeba // International Journal of Advanced Information Technology;Aug2012, Vol. 2 Issue 4, p23 

    The location of Optic Disc (OD) is of critical importance in retinal image analysis. This research paper carries out a new automated methodology to detect the optic disc (OD) in retinal images. OD detection helps the ophthalmologists to find whether the patient is affected by diabetic...

  • Flexible Logistic Models with Correlated Variables. KAN KILINÇ, Betül; ÇAVUŞ, Mustafa // Turkiye Klinikleri Journal of Biostatistics;2015, Vol. 7 Issue 2, p90 

    Objective: The objective of this work is to examine the correlations among covariates involved in logistic models. Strong correlations among explanatory variables can cause unstable regression coefficients. Thus, a common problem occurred in multiple linear or logistic regression is investigated...

  • ON ADAPTIVE BEAMFORMING FOR COHERENT INTERFERENCE SUPPRESSION VIA VIRTUAL ANTENNA ARRAY. Li, W.; Li, Y.; Yu, W. // Progress in Electromagnetics Research;2012, Vol. 125, p165 

    In this paper, we propose Modified Interpolated Spatial Smoothing (MISS) algorithm that solves the problem when the inhibition gain generated by Interpolated Spatial Smoothing (ISS) algorithm is not sufficiently high in virtual antenna adaptive beam forming to suppress coherent interference....

  • Upstream Nonoscillatory Advection Schemes. Jian-Guo Li // Monthly Weather Review;Dec2008, Vol. 136 Issue 12, p4709 

    Upstream nonoscillatory (UNO) advection schemes are derived by optimizing existing classical advection schemes and combining them in different monotonic zones to avoid flux limiters for simplicity. The UNO schemes are extended to irregular grids in the form of upstream midflux linear...

  • Stochastic analysis of image acquisition, interpolation and scale-space smoothing. Astrom, Kalle; Heyden, Anders // Advances in Applied Probability;Dec99, Vol. 31 Issue 4, p855 

    Presents the stochastic analysis on image acquisition, interpolation and scale-space smoothing. Difficulty in feature extraction by scale-space methods; Examination on the mathematical properties of scale-space representations; Interplay between discrete and continuous images; Prediction on the...

  • Electron parallel closures for various ion charge numbers. Jeong-Young Ji; Sang-Kyeun Kim; Held, Eric D.; Yong-Su Na // Physics of Plasmas;2016, Vol. 23 Issue 3, p1 

    Electron parallel closures for the ion charge number Z=1 [J.-Y. Ji and E. D. Held, Phys. Plasmas 21, 122116 (2014)] are extended for 1≤Z≤10. Parameters are computed for various Z with the same form of the Z=1 kernels adopted. The parameters are smoothly varying in Z and hence can be...

Share

Read the Article

Courtesy of THE LIBRARY OF VIRGINIA

Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics