D-Index & Metrics Best Publications

D-Index & Metrics

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 5,027 118 World Ranking 1504 National Ranking 74
Engineering and Technology D-index 31 Citations 4,404 109 World Ranking 5317 National Ranking 601

Overview

What is he best known for?

The fields of study he is best known for:

  • Mathematical analysis
  • Algebra
  • Real number

His primary scientific interests are in Combinatorics, Discrete mathematics, Affine transformation, Algorithm and Artificial intelligence. Yang Wang has included themes like Spectral radius, Joint spectral radius, Operator norm, Bounded function and Lattice in his Combinatorics study. His Bounded function research is multidisciplinary, incorporating perspectives in Lebesgue measure and Spectral set.

The Discrete mathematics study combines topics in areas such as Class, Measure and Spectrum. His Affine transformation research is multidisciplinary, relying on both Convex hull and Numerical digit, Arithmetic. His Algorithm research integrates issues from Hilbert spectrum, Phase retrieval, Fourier transform, Toeplitz matrix and Nonlinear system.

His most cited work include:

  • Bounded semigroups of matrices (345 citations)
  • The finiteness conjecture for the generalized spectral radius of a set of matrices (182 citations)
  • Self-affine tiles in ℝn (172 citations)

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

Yang Wang mainly focuses on Combinatorics, Algorithm, Discrete mathematics, Phase retrieval and Mathematical analysis. The concepts of his Combinatorics study are interwoven with issues in Matrix, Bounded function, Pure mathematics and Contraction ratio. His research in Algorithm intersects with topics in Hilbert space, Robustness, Control theory and Fourier transform.

His Fourier transform research is multidisciplinary, incorporating elements of Sampling and Sublinear function. His studies deal with areas such as Orthonormal basis, Affine transformation, Lebesgue measure, Measure and Refinable function as well as Discrete mathematics. His Phase retrieval study incorporates themes from Flow, Quadratic equation and Order.

He most often published in these fields:

  • Combinatorics (31.46%)
  • Algorithm (27.23%)
  • Discrete mathematics (27.23%)

What were the highlights of his more recent work (between 2017-2021)?

  • Algorithm (27.23%)
  • Combinatorics (31.46%)
  • Phase retrieval (13.15%)

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

His main research concerns Algorithm, Combinatorics, Phase retrieval, Matrix and Rank. Yang Wang interconnects Noise and Fourier transform in the investigation of issues within Algorithm. Yang Wang is studying Conjecture, which is a component of Combinatorics.

His work carried out in the field of Phase retrieval brings together such families of science as Flow, Quadratic equation and Function. His study focuses on the intersection of Matrix and fields such as Almost everywhere with connections in the field of Variety, Orthogonal matrix, Algebraic geometry and Algebraic variety. His Rank research incorporates themes from Matrix decomposition, Class, Diagonally dominant matrix and Positive-definite matrix.

Between 2017 and 2021, his most popular works were:

  • Fast Rank-One Alternating Minimization Algorithm for Phase Retrieval (11 citations)
  • Convex Shape Prior for Multi-Object Segmentation Using a Single Level Set Function (8 citations)
  • Multiscale High-Dimensional Sparse Fourier Algorithms for Noisy Data (7 citations)

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

  • Mathematical analysis
  • Algebra
  • Real number

Yang Wang focuses on Phase retrieval, Combinatorics, Algorithm, Artificial intelligence and Algebraic variety. His Phase retrieval research includes themes of Gradient descent, Open set, Flow and Affine transformation. His Combinatorics study integrates concerns from other disciplines, such as Singular value, Discrete mathematics, Random matrix, Redundancy and Constant.

His Algorithm research includes elements of Sampling, Partial differential equation, Sublinear function, Boundary value problem and Fourier transform. His work in the fields of Noise reduction, Tight frame and Dictionary learning overlaps with other areas such as Molecular conformation. His research integrates issues of Almost everywhere, Algebraic geometry, Unimodular matrix, Pure mathematics and Matrix in his study of Algebraic variety.

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

Bounded semigroups of matrices

Marc A. Berger;Yang Wang.
Linear Algebra and its Applications (1992)

529 Citations

Self-affine tiles in ℝn

Jeffrey C Lagarias;Yang Wang.
Advances in Mathematics (1996)

286 Citations

The finiteness conjecture for the generalized spectral radius of a set of matrices

Jeffrey C. Lagarias;Yang Wang.
Linear Algebra and its Applications (1995)

243 Citations

On Spectral Cantor Measures

Izabella Łaba;Yang Wang.
Journal of Functional Analysis (2002)

240 Citations

Tiling the line with translates of one tile

Jeffrey C. Lagarias;Yang Wang.
Inventiones Mathematicae (1996)

235 Citations

Hausdorff Dimension of Self‐Similar Sets with Overlaps

Sze Man Ngai;Yang Wang.
Journal of The London Mathematical Society-second Series (2001)

201 Citations

Integral self-affine tiles in ℝn I. Standard and nonstandard digit sets

Jeffrey C. Lagarias;Yang Wang.
Journal of The London Mathematical Society-second Series (1996)

177 Citations

Arbitrarily smooth orthogonal nonseparable wavelets in R 2

Eugene Belogay;Yang Wang.
Siam Journal on Mathematical Analysis (1999)

171 Citations

ITERATIVE FILTERING AS AN ALTERNATIVE ALGORITHM FOR EMPIRICAL MODE DECOMPOSITION

Luan Lin;Yang Wang;Haomin Zhou.
Advances in Adaptive Data Analysis (2009)

149 Citations

Spectral Sets and Factorizations of Finite Abelian Groups

Jeffrey C. Lagarias;Yang Wang.
Journal of Functional Analysis (1997)

129 Citations

Best Scientists Citing Yang Wang

Palle E. T. Jorgensen

Palle E. T. Jorgensen

University of Iowa

Publications: 45

Ka-Sing Lau

Ka-Sing Lau

Chinese University of Hong Kong

Publications: 42

Peter G. Casazza

Peter G. Casazza

University of Missouri

Publications: 27

Vincent D. Blondel

Vincent D. Blondel

Université Catholique de Louvain

Publications: 25

Vo Anh

Vo Anh

Swinburne University of Technology

Publications: 16

Boris Solomyak

Boris Solomyak

Bar-Ilan University

Publications: 16

Christopher Heil

Christopher Heil

Georgia Institute of Technology

Publications: 14

Guo-Wei Wei

Guo-Wei Wei

Michigan State University

Publications: 12

Gitta Kutyniok

Gitta Kutyniok

Ludwig-Maximilians-Universität München

Publications: 11

Piotr Indyk

Piotr Indyk

MIT

Publications: 10

Bin Han

Bin Han

University of Alberta

Publications: 9

Alexander Volberg

Alexander Volberg

Michigan State University

Publications: 9

Ingrid Daubechies

Ingrid Daubechies

Duke University

Publications: 8

Justin Romberg

Justin Romberg

Georgia Institute of Technology

Publications: 7

John N. Tsitsiklis

John N. Tsitsiklis

MIT

Publications: 7

Yonina C. Eldar

Yonina C. Eldar

Weizmann Institute of Science

Publications: 7

Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking d-index is inferred from publications deemed to belong to the considered discipline.

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