D-Index & Metrics Best Publications
Henryk Woźniakowski

Henryk Woźniakowski

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
Mathematics D-index 34 Citations 7,169 163 World Ranking 1989 National Ranking 7

Research.com Recognitions

Awards & Achievements

2020 - Polish Academy of Science

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Real number

Henryk Woźniakowski focuses on Discrete mathematics, Multivariate statistics, Applied mathematics, Sobolev space and Space. His Discrete mathematics research is multidisciplinary, incorporating perspectives in Polynomial, Hilbert space, Bounded function, Sequence and Numerical analysis. His Polynomial research incorporates themes from Function and Class.

His Multivariate statistics research is multidisciplinary, relying on both Combinatorics, Periodic function, Volume, Algorithm and Fourier series. The concepts of his Algorithm study are interwoven with issues in Monte Carlo molecular modeling, Markov chain Monte Carlo and Information-based complexity. His study looks at the relationship between Space and topics such as Uniform boundedness, which overlap with Orthonormal basis, Eigenfunction, Kernel and Pure mathematics.

His most cited work include:

  • When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals? (551 citations)
  • A general theory of optimal algorithms (488 citations)
  • Tractability of Multivariate Problems (314 citations)

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

Henryk Woźniakowski mainly investigates Discrete mathematics, Function, Combinatorics, Hilbert space and Multivariate statistics. Henryk Woźniakowski has included themes like Bounded function, Sobolev space, Space, Upper and lower bounds and Polynomial in his Discrete mathematics study. His biological study spans a wide range of topics, including Function space, Zero, Class, Algorithm and Integer.

Henryk Woźniakowski works mostly in the field of Combinatorics, limiting it down to concerns involving Eigenvalues and eigenvectors and, occasionally, Gaussian measure. The Hilbert space study combines topics in areas such as Singular value, Exponential function and Tensor product. His Multivariate statistics study integrates concerns from other disciplines, such as Curse of dimensionality, Applied mathematics and Average-case complexity.

He most often published in these fields:

  • Discrete mathematics (76.36%)
  • Function (33.64%)
  • Combinatorics (31.82%)

What were the highlights of his more recent work (between 2015-2021)?

  • Discrete mathematics (76.36%)
  • Hilbert space (35.91%)
  • Exponential function (19.55%)

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

His main research concerns Discrete mathematics, Hilbert space, Exponential function, Function and Tensor product. His studies deal with areas such as Space, Embedding, Bounded function and Sobolev space as well as Discrete mathematics. The study incorporates disciplines such as Singular value, Polynomial and Multivariate statistics in addition to Exponential function.

His study explores the link between Multivariate statistics and topics such as Applied mathematics that cross with problems in Simple. His Function research incorporates elements of Function space, Positive real numbers, Zero, Phase retrieval and Upper and lower bounds. His research integrates issues of Linear operators, Reproducing kernel Hilbert space and Combinatorics in his study of Tensor product.

Between 2015 and 2021, his most popular works were:

  • Tractability of multivariate approximation defined over Hilbert spaces with exponential weights (31 citations)
  • Approximation in Hermite spaces of smooth functions (17 citations)
  • A new characterization of (s,t)-weak tractability (14 citations)

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

A General Theory of Optimal Algorithms

Joseph Frederick Traub;H. Woźniakowski.
(1980)

757 Citations

A General Theory of Optimal Algorithms

Joseph Frederick Traub;H. Woźniakowski.
(1980)

757 Citations

When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?

Ian H Sloan;Henryk Woźniakowski.
Journal of Complexity (1998)

741 Citations

When Are Quasi-Monte Carlo Algorithms Efficient for High Dimensional Integrals?

Ian H Sloan;Henryk Woźniakowski.
Journal of Complexity (1998)

741 Citations

Tractability of Multivariate Problems

Henryk Woźniakowski.
(2008)

496 Citations

Tractability of Multivariate Problems

Henryk Woźniakowski.
(2008)

496 Citations

Tractability of Multivariate Problems Volume II: Standard Information for Functionals

Erich Novak;Henryk Woźniakowski.
(2010)

460 Citations

Tractability of Multivariate Problems Volume II: Standard Information for Functionals

Erich Novak;Henryk Woźniakowski.
(2010)

460 Citations

Tractability of Multivariate Problems: Volume I: Linear Information

Erich Novak;Henryk Woźniakowski.
(2008)

446 Citations

Tractability of Multivariate Problems: Volume I: Linear Information

Erich Novak;Henryk Woźniakowski.
(2008)

446 Citations

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