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Williams, Christopher K. I.

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Author ID: williams.christopher-k-i Recent zbMATH articles by "Williams, Christopher K. I."
Published as: Williams, C. K. I.; Williams, Christopher K. I.
Documents Indexed: 17 Publications since 1998, including 1 Book

Publications by Year

Citations contained in zbMATH

11 Publications have been cited 722 times in 711 Documents Cited by Year
Gaussian processes for machine learning. Zbl 1177.68165
Rasmussen, Carl Edward; Williams, Christopher K. I.
629
2006
On the eigenspectrum of the Gram matrix and the generalization error of kernel-PCA. Zbl 1310.15076
Shawe-Taylor, John; Williams, Christopher K. I.; Cristianini, Nello; Kandola, Jaz S.
22
2005
Developments of the generative topographic mapping. Zbl 0936.68091
Bishop, Christopher M.; Svensén, Markus; Williams, Christopher K. I.
21
1998
Prediction with Gaussian processes: From linear regression to linear prediction and beyond. Zbl 0921.62121
Williams, C. K. I.
12
1998
On a connection between kernel PCA and metric multidimensional scaling. Zbl 1052.68118
Williams, Christopher K. I.
11
2002
On the number of modes of a Gaussian mixture. Zbl 1067.68724
Carreira-Perpiñán, Miguel Á.; Williams, Christopher K. I.
10
2003
Gaussian regression and optimal finite dimensional linear models. Zbl 0921.62086
Zhu, Huaiyu; Williams, Christopher K. I.; Rohwer, Richard; Morciniec, Michal
6
1999
Understanding Gaussian process regression using the equivalent kernel. Zbl 1133.68410
Sollich, Peter; Williams, Christopher K. I.
4
2005
A framework for evaluating approximation methods for Gaussian process regression. Zbl 1307.68064
Chalupka, Krzysztof; Williams, Christopher K. I.; Murray, Iain
3
2013
Greedy learning of multiple objects in images using robust statistics and factorial learning. Zbl 1089.68614
Williams, Christopher K. I.; Titsias, Michalis K.
2
2004
Modelling frontal discontinuities in wind fields. Zbl 1016.62130
Cornford, Dan; Nabney, Ian T.; Williams, Christopher K. I.
2
2002
A framework for evaluating approximation methods for Gaussian process regression. Zbl 1307.68064
Chalupka, Krzysztof; Williams, Christopher K. I.; Murray, Iain
3
2013
Gaussian processes for machine learning. Zbl 1177.68165
Rasmussen, Carl Edward; Williams, Christopher K. I.
629
2006
On the eigenspectrum of the Gram matrix and the generalization error of kernel-PCA. Zbl 1310.15076
Shawe-Taylor, John; Williams, Christopher K. I.; Cristianini, Nello; Kandola, Jaz S.
22
2005
Understanding Gaussian process regression using the equivalent kernel. Zbl 1133.68410
Sollich, Peter; Williams, Christopher K. I.
4
2005
Greedy learning of multiple objects in images using robust statistics and factorial learning. Zbl 1089.68614
Williams, Christopher K. I.; Titsias, Michalis K.
2
2004
On the number of modes of a Gaussian mixture. Zbl 1067.68724
Carreira-Perpiñán, Miguel Á.; Williams, Christopher K. I.
10
2003
On a connection between kernel PCA and metric multidimensional scaling. Zbl 1052.68118
Williams, Christopher K. I.
11
2002
Modelling frontal discontinuities in wind fields. Zbl 1016.62130
Cornford, Dan; Nabney, Ian T.; Williams, Christopher K. I.
2
2002
Gaussian regression and optimal finite dimensional linear models. Zbl 0921.62086
Zhu, Huaiyu; Williams, Christopher K. I.; Rohwer, Richard; Morciniec, Michal
6
1999
Developments of the generative topographic mapping. Zbl 0936.68091
Bishop, Christopher M.; Svensén, Markus; Williams, Christopher K. I.
21
1998
Prediction with Gaussian processes: From linear regression to linear prediction and beyond. Zbl 0921.62121
Williams, C. K. I.
12
1998
all top 5

Cited by 1,553 Authors

18 Pillonetto, Gianluigi
13 Bachoc, François
11 Karniadakis, George Em
9 Ginsbourger, David
9 Perdikaris, Paris G.
9 Roustant, Olivier
8 Chiuso, Alessandro
7 Picheny, Victor
6 Chen, Tianshi
6 Choi, Taeryon
6 Hjalmarsson, Håkan
6 Raissi, Maziar
6 Särkkä, Simo
6 Shi, Jianqing
6 Stuart, Andrew M.
5 Bottegal, Giulio
5 De Nicolao, Giuseppe
5 Dunson, David Brian
5 Garnier, Josselin
5 Girolami, Mark A.
5 Huttunen, Janne M. J.
5 Jakeman, John Davis
5 Li, Jinglai
5 Ljung, Lennart
5 Marzouk, Youssef M.
4 Banerjee, Sudipto
4 Bewley, Thomas R.
4 Bilionis, Ilias
4 Durrande, Nicolas
4 Finley, Andrew O.
4 Hesthaven, Jan S.
4 Karvonen, Toni
4 Lagnoux, Agnès
4 Marrel, Amandine
4 Perrin, Guillaume
4 Saad, Yousef
4 Saibaba, Arvind Krishna
4 Steinwart, Ingo
4 Vehtari, Aki
4 Zabaras, Nicholas J.
3 Alodat, M. T.
3 Avron, Haim
3 Beyhaghi, Pooriya
3 Binois, Mickaël
3 Bortolussi, Luca
3 Carlberg, Kevin T.
3 Chevalier, Clément
3 Choi, Jongeun
3 Cornford, Dan
3 Couckuyt, Ivo
3 Darwish, Mohamed Abdelmonim Hassan
3 Dhaene, Tom
3 Dunlop, Matthew M.
3 Feng, Yuanjing
3 Filippone, Maurizio
3 Gelfand, Alan Enoch
3 Gretton, Arthur
3 Guo, Mengwu
3 Heckman, Nancy E.
3 Helbert, Céline
3 Hennig, Philipp
3 Hosseini, Bamdad
3 Hoteit, Ibrahim
3 Hou, Zhongsheng
3 Husmeier, Dirk
3 Kirk, Paul D. W.
3 Le Maître, Olivier P.
3 Li, Yongqiang
3 Lü, Zhenzhou
3 Ludkovski, Michael
3 Marque-Pucheu, Sophie
3 Murray-Smith, Roderick
3 Nguyen, Ngoc Cuong
3 Nott, David John
3 Oates, Chris J.
3 Opper, Manfred
3 Risk, Jimmy
3 Schölkopf, Bernhard
3 Spokoiny, Vladimir G.
3 Stumpf, Michael P. H.
3 Suykens, Johan A. K.
3 Teckentrup, Aretha L.
3 Titterington, D. Michael
3 Tóth, Roland
3 Tuo, Rui
3 Van der Vaart, Adrianus Willem
3 Vellido, Alfredo
3 Wang, Bo
3 Woźniakowski, Henryk
3 Wu, Chien-Fu Jeff
2 Aderhold, Andrej
2 Anitescu, Mihai
2 Apley, Daniel W.
2 Aravkin, Aleksandr Y.
2 Azzimonti, Dario
2 Babaee, Hessam
2 Balesdent, Mathieu
2 Barbillon, Pierre
2 Barth, Andrea
2 Bay, Xavier
...and 1,453 more Authors
all top 5

Cited in 163 Serials

46 Automatica
39 Journal of Computational Physics
34 SIAM/ASA Journal on Uncertainty Quantification
26 Computer Methods in Applied Mechanics and Engineering
26 Journal of Machine Learning Research (JMLR)
24 Statistics and Computing
23 Computational Statistics and Data Analysis
21 The Annals of Statistics
21 Neural Computation
19 Machine Learning
18 SIAM Journal on Scientific Computing
15 Pattern Recognition
15 Electronic Journal of Statistics
14 Neural Networks
14 Journal of Global Optimization
14 The Annals of Applied Statistics
12 European Journal of Operational Research
12 Bayesian Analysis
11 Journal of Multivariate Analysis
9 Biometrics
9 Statistical Science
8 Journal of Statistical Planning and Inference
6 Journal of the American Statistical Association
6 Statistics & Probability Letters
6 Computational Mechanics
6 International Journal of Computer Vision
6 Computational Geosciences
5 Information Sciences
5 Journal of Complexity
5 Journal of Mathematical Imaging and Vision
5 Statistical Analysis and Data Mining
4 Artificial Intelligence
4 Computers and Fluids
4 Journal of Mathematical Psychology
4 Computational Statistics
4 Applied Mathematical Modelling
4 Journal of Statistical Computation and Simulation
4 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
4 Journal of Agricultural, Biological, and Environmental Statistics
3 Computers & Mathematics with Applications
3 Journal of Fluid Mechanics
3 Journal of the Franklin Institute
3 Mathematical Biosciences
3 Scandinavian Journal of Statistics
3 Mathematics of Computation
3 International Journal for Numerical Methods in Engineering
3 Journal of Classification
3 SIAM Journal on Matrix Analysis and Applications
3 Annales de la Faculté des Sciences de Toulouse. Mathématiques. Série VI
3 Journal of the Royal Statistical Society. Series B. Statistical Methodology
3 Journal of Applied Mathematics
3 Statistics Surveys
2 Computer Physics Communications
2 International Journal of Heat and Mass Transfer
2 Inverse Problems
2 Applied Mathematics and Computation
2 Journal of Computational and Applied Mathematics
2 Journal of Econometrics
2 Metron
2 SIAM Journal on Control and Optimization
2 Theoretical Computer Science
2 Insurance Mathematics & Economics
2 Physica D
2 Constructive Approximation
2 Information and Computation
2 International Journal of Adaptive Control and Signal Processing
2 The Annals of Applied Probability
2 Communications in Statistics. Simulation and Computation
2 International Journal of Computer Mathematics
2 Linear Algebra and its Applications
2 Proceedings of the National Academy of Sciences of the United States of America
2 SIAM Review
2 Computational Optimization and Applications
2 Numerical Linear Algebra with Applications
2 Journal of Computational Neuroscience
2 Annals of Mathematics and Artificial Intelligence
2 Bernoulli
2 Journal of Nonparametric Statistics
2 Mathematical Problems in Engineering
2 Nonlinear Dynamics
2 Chaos
2 International Journal of Applied Mathematics and Computer Science
2 Statistical Applications in Genetics and Molecular Biology
2 Journal of the Korean Statistical Society
2 Inverse Problems and Imaging
2 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings and Surveys
1 International Journal of Modern Physics A
1 International Journal of Modern Physics B
1 Archive for Rational Mechanics and Analysis
1 The Canadian Journal of Statistics
1 Information Processing Letters
1 Journal of Statistical Physics
1 Physica A
1 Annals of the Institute of Statistical Mathematics
1 BIT
1 Computing
1 Fuzzy Sets and Systems
1 Journal of Approximation Theory
1 Mathematics and Computers in Simulation
1 Operations Research
...and 63 more Serials
all top 5

Cited in 41 Fields

412 Statistics (62-XX)
175 Computer science (68-XX)
172 Probability theory and stochastic processes (60-XX)
166 Numerical analysis (65-XX)
63 Systems theory; control (93-XX)
50 Operations research, mathematical programming (90-XX)
46 Biology and other natural sciences (92-XX)
28 Fluid mechanics (76-XX)
27 Partial differential equations (35-XX)
22 Mechanics of deformable solids (74-XX)
21 Information and communication theory, circuits (94-XX)
19 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
18 Functional analysis (46-XX)
18 Geophysics (86-XX)
16 Linear and multilinear algebra; matrix theory (15-XX)
12 Approximations and expansions (41-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Operator theory (47-XX)
7 Combinatorics (05-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Dynamical systems and ergodic theory (37-XX)
4 Ordinary differential equations (34-XX)
3 Special functions (33-XX)
3 Integral equations (45-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Mechanics of particles and systems (70-XX)
3 Statistical mechanics, structure of matter (82-XX)
3 Astronomy and astrophysics (85-XX)
2 Difference and functional equations (39-XX)
2 Classical thermodynamics, heat transfer (80-XX)
2 Relativity and gravitational theory (83-XX)
1 General and overarching topics; collections (00-XX)
1 Mathematical logic and foundations (03-XX)
1 Topological groups, Lie groups (22-XX)
1 Measure and integration (28-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Abstract harmonic analysis (43-XX)
1 Geometry (51-XX)
1 Optics, electromagnetic theory (78-XX)
1 Quantum theory (81-XX)

Citations by Year