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- Iain M. Johnstone

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
53
Citations
38,082
98
World Ranking
636
National Ranking
326

2005 - Member of the National Academy of Sciences

2004 - Wald Memorial Lecturer

2003 - Fellow of the American Academy of Arts and Sciences

1997 - Fellow of John Simon Guggenheim Memorial Foundation

1995 - Fellow of the American Statistical Association (ASA)

1995 - Fellow of the American Association for the Advancement of Science (AAAS)

1995 - COPSS Presidents' Award

1988 - Fellow of Alfred P. Sloan Foundation

- Statistics
- Normal distribution
- Mathematical analysis

His primary scientific interests are in Wavelet, Mathematical optimization, Minimax, Algorithm and Density estimation. His Mathematical optimization research is multidisciplinary, incorporating perspectives in Estimator, Nonparametric regression, Wavelet noise, Applied mathematics and Wavelet transform. His research in Estimator intersects with topics in Polynomial and Gaussian noise.

He works mostly in the field of Wavelet noise, limiting it down to topics relating to Piecewise and, in certain cases, Decision theory. Iain M. Johnstone combines subjects such as Statistics and Feature selection with his study of Algorithm. His work on Marginal likelihood, Least-angle regression, Elastic net regularization and Regression analysis as part of general Statistics study is frequently linked to Posterior probability, bridging the gap between disciplines.

- Least angle regression (6995 citations)
- Ideal spatial adaptation by wavelet shrinkage (6645 citations)
- Adapting to Unknown Smoothness via Wavelet Shrinkage (3774 citations)

The scientist’s investigation covers issues in Applied mathematics, Minimax, Mathematical optimization, Wavelet and Statistics. His research in Applied mathematics tackles topics such as Eigenvalues and eigenvectors which are related to areas like Principal component analysis, Combinatorics and Sample. His research integrates issues of Discrete mathematics, Norm, Density estimation and Compressed sensing in his study of Minimax.

His Mathematical optimization study combines topics from a wide range of disciplines, such as Function, Estimator and Smoothness. His studies deal with areas such as Algorithm and Bounded variation as well as Wavelet. His work deals with themes such as Linear regression, Ordinary least squares, Least-angle regression, Wavelet noise and Fourier transform, which intersect with Algorithm.

- Applied mathematics (33.33%)
- Minimax (23.68%)
- Mathematical optimization (20.18%)

- Applied mathematics (33.33%)
- Eigenvalues and eigenvectors (9.65%)
- Minimax (23.68%)

Iain M. Johnstone mainly investigates Applied mathematics, Eigenvalues and eigenvectors, Minimax, Covariance matrix and Mathematical optimization. The concepts of his Applied mathematics study are interwoven with issues in Mean squared error, Estimator and Covariance. In Mean squared error, Iain M. Johnstone works on issues like Function, which are connected to Range.

His study looks at the relationship between Eigenvalues and eigenvectors and fields such as Sample, as well as how they intersect with chemical problems. His Minimax study incorporates themes from Density estimation and Compressed sensing. His Covariance matrix study also includes fields such as

- Principal component analysis which is related to area like Outlier, Linear model and Aliasing,
- Expected value which intersects with area such as Tracy–Widom distribution, High dimensional and Edge.

- Normalization, testing, and false discovery rate estimation for RNA-sequencing data (248 citations)
- Accurate Prediction of Phase Transitions in Compressed Sensing via a Connection to Minimax Denoising (168 citations)
- Innate immune response to homologous rotavirus infection in the small intestinal villous epithelium at single-cell resolution (57 citations)

- Statistics
- Normal distribution
- Mathematical analysis

Iain M. Johnstone mostly deals with Minimax, Applied mathematics, Compressed sensing, Eigenvalues and eigenvectors and Covariance matrix. His Minimax study is concerned with Mathematical optimization in general. His Estimator research extends to Mathematical optimization, which is thematically connected.

His Compressed sensing study combines topics from a wide range of disciplines, such as Mean squared error, Matrix and Undersampling. His biological study deals with issues like Lasso, which deal with fields such as Combinatorics. In his research on the topic of Eigenvalues and eigenvectors, Sample, Sample size determination and Statistical hypothesis testing is strongly related with Principal component analysis.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Ideal spatial adaptation by wavelet shrinkage

David L. Donoho;Jain M. Johnstone.

Biometrika **(1994)**

13030 Citations

Least angle regression

Bradley Efron;Trevor Hastie;Iain Johnstone;Robert Tibshirani.

Annals of Statistics **(2004)**

11211 Citations

Least angle regression

Bradley Efron;Trevor Hastie;Iain Johnstone;Robert Tibshirani.

Annals of Statistics **(2004)**

11211 Citations

Adapting to Unknown Smoothness via Wavelet Shrinkage

David L. Donoho;Iain M. Johnstone.

Journal of the American Statistical Association **(1995)**

7011 Citations

Adapting to Unknown Smoothness via Wavelet Shrinkage

David L. Donoho;Iain M. Johnstone.

Journal of the American Statistical Association **(1995)**

7011 Citations

Wavelet Shrinkage: Asymptopia?

David L. Donoho;Iain M. Johnstone;Gérard Kerkyacharian;Dominique Picard.

Journal of the royal statistical society series b-methodological **(1995)**

2812 Citations

Wavelet Shrinkage: Asymptopia?

David L. Donoho;Iain M. Johnstone;Gérard Kerkyacharian;Dominique Picard.

Journal of the royal statistical society series b-methodological **(1995)**

2812 Citations

On the distribution of the largest eigenvalue in principal components analysis

Iain M. Johnstone.

Annals of Statistics **(2001)**

2633 Citations

On the distribution of the largest eigenvalue in principal components analysis

Iain M. Johnstone.

Annals of Statistics **(2001)**

2633 Citations

Minimax estimation via wavelet shrinkage

David L. Donoho;Iain M. Johnstone.

Annals of Statistics **(1998)**

1398 Citations

Journal of Statistical Planning and Inference

(Impact Factor: 1.095)

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