A reproducing kernel Hilbert space approach to functional linear regression

Ming Yuan; T. Tony Cai

doi:10.1214/09-aos772

A reproducing kernel Hilbert space approach to functional linear regression

The Annals of Statistics ◽

10.1214/09-aos772 ◽

2010 ◽

Vol 38 (6) ◽

pp. 3412-3444 ◽

Cited By ~ 78

Author(s):

Ming Yuan ◽

T. Tony Cai

Keyword(s):

Hilbert Space ◽

Linear Regression ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Functional Linear Regression ◽

Space Approach

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Functional Sliced Inverse Regression in a Reproducing Kernel Hilbert Space: a Theoretical Connection to Functional Linear Regression

Statistica Sinica ◽

10.5705/ss.202017.0277 ◽

2019 ◽

Author(s):

Guochang Wang ◽

Heng Lian

Keyword(s):

Hilbert Space ◽

Linear Regression ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Sliced Inverse Regression ◽

Inverse Regression ◽

Functional Linear Regression

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A reproducing kernel Hilbert space approach in meshless collocation method

Computational and Applied Mathematics ◽

10.1007/s40314-019-0838-0 ◽

2019 ◽

Vol 38 (2) ◽

Author(s):

Babak Azarnavid ◽

Mahdi Emamjome ◽

Mohammad Nabati ◽

Saeid Abbasbandy

Keyword(s):

Hilbert Space ◽

Collocation Method ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Meshless Collocation ◽

Space Approach

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A Reproducing Kernel Hilbert Space Approach to Functional Calibration of Computer Models

Journal of the American Statistical Association ◽

10.1080/01621459.2021.1956938 ◽

2021 ◽

pp. 1-37

Author(s):

Rui Tuo ◽

Shiyuan He ◽

Arash Pourhabib ◽

Yu Ding ◽

Jianhua Z. Huang

Keyword(s):

Hilbert Space ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Computer Models ◽

Space Approach

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A reproducing kernel Hilbert space approach to high dimensional partially varying coefficient model

Computational Statistics & Data Analysis ◽

10.1016/j.csda.2020.107039 ◽

2020 ◽

Vol 152 ◽

pp. 107039

Author(s):

Shaogao Lv ◽

Zengyan Fan ◽

Heng Lian ◽

Taiji Suzuki ◽

Kenji Fukumizu

Keyword(s):

Hilbert Space ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

High Dimensional ◽

Varying Coefficient Model ◽

Varying Coefficient ◽

Space Approach

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A reproducing kernel Hilbert space approach for speech enhancement

2008 3rd International Symposium on Communications, Control and Signal Processing ◽

10.1109/isccsp.2008.4537338 ◽

2008 ◽

Cited By ~ 2

Author(s):

Oliver Gauci ◽

Carl J. Debono ◽

Paul Micallef

Keyword(s):

Hilbert Space ◽

Speech Enhancement ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Space Approach

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A reproducing Kernel Hilbert Space approach for the online update of Radial Bases in neuro-adaptive control

IEEE Conference on Decision and Control and European Control Conference ◽

10.1109/cdc.2011.6160765 ◽

2011 ◽

Cited By ~ 3

Author(s):

Hassan A. Kingravi ◽

Girish Chowdhary ◽

Patricio A. Vela ◽

Eric N. Johnson

Keyword(s):

Hilbert Space ◽

Adaptive Control ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Space Approach

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The reproducing kernel Hilbert space approach in nonparametric regression problems with correlated observations

Annals of the Institute of Statistical Mathematics ◽

10.1007/s10463-019-00733-3 ◽

2019 ◽

Vol 72 (6) ◽

pp. 1479-1500

Author(s):

D. Benelmadani ◽

K. Benhenni ◽

S. Louhichi

Keyword(s):

Hilbert Space ◽

Nonparametric Regression ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Correlated Observations ◽

Regression Problems ◽

Space Approach

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Reproducing Kernel Hilbert Space Approach for the Online Update of Radial Bases in Neuro-Adaptive Control

IEEE Transactions on Neural Networks and Learning Systems ◽

10.1109/tnnls.2012.2198889 ◽

2012 ◽

Vol 23 (7) ◽

pp. 1130-1141 ◽

Cited By ~ 35

Author(s):

H. A. Kingravi ◽

G. Chowdhary ◽

P. A. Vela ◽

E. N. Johnson

Keyword(s):

Hilbert Space ◽

Adaptive Control ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Space Approach

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Minimax designs for linear regression models with bias in a reproducing kernel Hilbert space in a discrete set

Applied Mathematics-A Journal of Chinese Universities ◽

10.1007/s11766-015-3203-0 ◽

2015 ◽

Vol 30 (3) ◽

pp. 361-378

Author(s):

Xiao-dong Zhou ◽

Rong-xian Yue

Keyword(s):

Hilbert Space ◽

Linear Regression ◽

Regression Models ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Linear Regression Models

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Distribution regression model with a Reproducing Kernel Hilbert Space approach

Communication in Statistics- Theory and Methods ◽

10.1080/03610926.2019.1658782 ◽

2019 ◽

pp. 1-23

Author(s):

Bui Thi Thien Trang ◽

Jean-Michel Loubes ◽

Laurent Risser ◽

Patricia Balaresque

Keyword(s):

Hilbert Space ◽

Regression Model ◽

Reproducing Kernel ◽

Reproducing Kernel Hilbert Space ◽

Space Approach

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