D-Index & Metrics Best Publications

D-Index & Metrics 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.

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
Computer Science D-index 32 Citations 7,661 152 World Ranking 8953 National Ranking 143

Overview

What is he best known for?

The fields of study he is best known for:

  • Statistics
  • Machine learning
  • Artificial intelligence

His primary areas of study are Kernel, Reproducing kernel Hilbert space, Kernel embedding of distributions, Kernel method and Embedding. His study looks at the relationship between Kernel and fields such as Conditional probability distribution, as well as how they intersect with chemical problems. His Reproducing kernel Hilbert space study integrates concerns from other disciplines, such as Probability distribution, Applied mathematics and Probability measure.

The Kernel embedding of distributions study combines topics in areas such as Polynomial kernel, Algorithm and Variable kernel density estimation. His Kernel method study combines topics from a wide range of disciplines, such as Statistical theory, Statistical learning theory, Deep learning and Theoretical computer science. In Embedding, he works on issues like Discrete mathematics, which are connected to Pure mathematics.

His most cited work include:

  • Dimensionality Reduction for Supervised Learning with Reproducing Kernel Hilbert Spaces (652 citations)
  • A Kernel Statistical Test of Independence (458 citations)
  • Hilbert Space Embeddings and Metrics on Probability Measures (436 citations)

What are the main themes of his work throughout his whole career to date?

Kernel, Reproducing kernel Hilbert space, Artificial intelligence, Applied mathematics and Kernel embedding of distributions are his primary areas of study. His Kernel research includes elements of Algorithm, Hilbert space and Kernel. His Reproducing kernel Hilbert space research includes themes of Discrete mathematics, Probability measure, Probability distribution, Statistical distance and Embedding.

The concepts of his Artificial intelligence study are interwoven with issues in Machine learning and Pattern recognition. His Applied mathematics research incorporates themes from Function and Graph. The various areas that he examines in his Kernel embedding of distributions study include Kernel regression, Polynomial kernel, Kernel principal component analysis and Variable kernel density estimation.

He most often published in these fields:

  • Kernel (37.56%)
  • Reproducing kernel Hilbert space (25.38%)
  • Artificial intelligence (23.35%)

What were the highlights of his more recent work (between 2018-2021)?

  • Artificial intelligence (23.35%)
  • Applied mathematics (18.78%)
  • Kernel (37.56%)

In recent papers he was focusing on the following fields of study:

His main research concerns Artificial intelligence, Applied mathematics, Kernel, Inference and Set. His work carried out in the field of Artificial intelligence brings together such families of science as Machine learning and Pattern recognition. His Applied mathematics research is multidisciplinary, incorporating perspectives in Reproducing kernel Hilbert space, Minimax, Estimator, Goodness of fit and Rate of convergence.

His Reproducing kernel Hilbert space research focuses on Constant and how it relates to Representation and Function. Kenji Fukumizu undertakes interdisciplinary study in the fields of Kernel and Persistence through his works. His study on Inference also encompasses disciplines like

  • Data mining that intertwine with fields like Causal model,
  • Tangent, Equivalence, Graphical model, Probability distribution and Gradient descent most often made with reference to Bayesian inference.

Between 2018 and 2021, his most popular works were:

  • Deep Neural Networks Learn Non-Smooth Functions Effectively (24 citations)
  • Convergence Analysis of Deterministic Kernel-Based Quadrature Rules in Misspecified Settings (21 citations)
  • Smoothness and Stability in GANs (16 citations)

In his most recent research, the most cited papers focused on:

  • Statistics
  • Machine learning
  • Artificial intelligence

The scientist’s investigation covers issues in Applied mathematics, Gradient descent, Tree, Inference and Set. Kenji Fukumizu integrates Applied mathematics with Gaussian quadrature in his research. His Gradient descent research is multidisciplinary, incorporating elements of Stability, Generator, Smoothness, Divergence and Mathematical optimization.

His research in Tree intersects with topics in Polytope, Combinatorics, Hierarchical clustering, Cluster analysis and Pattern recognition. His Inference study also includes fields such as

  • Equivalence together with Probability distribution,
  • Data mining which connect with Benchmark. You can notice a mix of various disciplines of study, such as Dimensionality reduction, Artificial intelligence, Random tree, Discrete mathematics and Tree, in his Set studies.

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.

Best Publications

Dimensionality Reduction for Supervised Learning with Reproducing Kernel Hilbert Spaces

Kenji Fukumizu;Francis R. Bach;Michael I. Jordan.
international conference on artificial intelligence and statistics (2004)

697 Citations

A Kernel Statistical Test of Independence

Arthur Gretton;Kenji Fukumizu;Choon H. Teo;Le Song.
neural information processing systems (2007)

667 Citations

Hilbert Space Embeddings and Metrics on Probability Measures

Bharath K. Sriperumbudur;Arthur Gretton;Kenji Fukumizu;Bernhard Schölkopf.
Journal of Machine Learning Research (2010)

619 Citations

Kernel Measures of Conditional Dependence

Kenji Fukumizu;Arthur Gretton;Xiaohai Sun;Bernhard Schölkopf.
neural information processing systems (2007)

505 Citations

Optimal kernel choice for large-scale two-sample tests

Arthur Gretton;Dino Sejdinovic;Heiko Strathmann;Sivaraman Balakrishnan.
neural information processing systems (2012)

430 Citations

Kernel Mean Embedding of Distributions: A Review and Beyond

Krikamol Muandet;Kenji Fukumizu;Bharath K. Sriperumbudur;Bernhard Schölkopf.
(2017)

354 Citations

Universality, Characteristic Kernels and RKHS Embedding of Measures

Bharath K. Sriperumbudur;Kenji Fukumizu;Gert R. G. Lanckriet.
Journal of Machine Learning Research (2011)

325 Citations

Hilbert space embeddings of conditional distributions with applications to dynamical systems

Le Song;Jonathan Huang;Alex Smola;Kenji Fukumizu.
international conference on machine learning (2009)

280 Citations

Adaptive Method of Realizing Natural Gradient Learning for Multilayer Perceptrons

Shun-Ichi Amari;Hyeyoung Park;Kenji Fukumizu.
Neural Computation (2000)

247 Citations

On the empirical estimation of integral probability metrics

Bharath K. Sriperumbudur;Kenji Fukumizu;Arthur Gretton;Bernhard Schoelkopf.
Electronic Journal of Statistics (2012)

230 Citations

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Best Scientists Citing Kenji Fukumizu

Arthur Gretton

Arthur Gretton

University College London

Publications: 105

Bernhard Schölkopf

Bernhard Schölkopf

Max Planck Institute for Intelligent Systems

Publications: 97

Masashi Sugiyama

Masashi Sugiyama

RIKEN

Publications: 60

Barnabás Póczos

Barnabás Póczos

Carnegie Mellon University

Publications: 37

Kun Zhang

Kun Zhang

Carnegie Mellon University

Publications: 34

Jose C. Principe

Jose C. Principe

University of Florida

Publications: 34

Le Song

Le Song

Georgia Institute of Technology

Publications: 30

Michael I. Jordan

Michael I. Jordan

University of California, Berkeley

Publications: 30

Shun-ichi Amari

Shun-ichi Amari

RIKEN Center for Brain Science

Publications: 28

Francis Bach

Francis Bach

École Normale Supérieure

Publications: 28

Alexander J. Smola

Alexander J. Smola

Amazon (United States)

Publications: 26

Dominik Janzing

Dominik Janzing

Amazon (United States)

Publications: 23

Joshua T. Vogelstein

Joshua T. Vogelstein

Johns Hopkins University

Publications: 21

Karsten M. Borgwardt

Karsten M. Borgwardt

ETH Zurich

Publications: 20

Mingsheng Long

Mingsheng Long

Tsinghua University

Publications: 20

Fabio Ramos

Fabio Ramos

University of Sydney

Publications: 19

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