Leaderboards/Mathematical Analysis and Transform Methods

Mathematical Analysis and Transform Methods

Last updated July 7, 2026

Rising Stars

New and hot

Rising Stars Researchers

1
Hsin-Yuan Huang
Pasadena City College
2
Long-Long Hu
Shanghai University of Engineering Science
3
Emirhan Koç
Bilkent University
4
Vishal Agrawal
Vellore Institute of Technology University
5
Lingxuan Feng
Chinese Academy of Sciences
6
Achraf Daoui
Sidi Mohamed Ben Abdellah University
7
Lai Tien Minh
Hanoi Architectural University
8
Hajer Bahouri
Centre National de la Recherche Scientifique
9
Daniel Alfonso Santiesteban
Universidad Autónoma de Guerrero
10
Alexey E. Rastegin
Irkutsk State University

Rising Stars Papers

1
A multi-image encryption scheme based on block compressive sensing and nonlinear bifurcation diffusion
Chaos Solitons & Fractals|2024
106 cit.
2
Random unitaries in extremely low depth
Science|2025
46 cit.
3
Visually meaningful triple images encryption algorithm based on 2D compressive sensing and multi-region embedding
Knowledge-Based Systems|2025
41 cit.
4
Trainable Fractional Fourier Transform
IEEE Signal Processing Letters|2024
32 cit.
5
Learning Shallow Quantum Circuits
Unknown Journal|2024
23 cit.
6
Classically Estimating Observables of Noiseless Quantum Circuits
Physical Review Letters|2025
20 cit.
7
Modified Ambiguity Function and Wigner Distribution Associated With Quadratic-Phase Fourier Transform
Journal of Fourier Analysis and Applications|2024
17 cit.
8
Equioverlapping measurements as extensions of symmetric informationally complete positive operator valued measures
Physical review. A/Physical review, A|2024
16 cit.
9
Novel two-dimensional Wigner distribution and ambiguity function in the framework of the two-dimensional nonseparable linear canonical transform
Multidimensional Systems and Signal Processing|2024
12 cit.
10
How to Construct Random Unitaries
Unknown Journal|2025
12 cit.

Emerging Leaders

Gaining momentum

Emerging Leaders Researchers

1
Azhar Y. Tantary
Indian Institute of Technology Bombay
2
Aamir H. Dar
Indian Institute of Technology Guwahati
3
Wei-Ping Zou
Nanchang University
4
Gerhard Schindl
University of Vienna
5
Zhiyi Wu
Guangzhou University
6
Guillermo Rey
Michigan State University
7
U. K. Mandal
Indian Institute of Technology Dhanbad
8
Aajaz A. Teali
Lovely Professional University
9
WU Ming-fa
Dingxi City People's Hospital
10
Ruixiang Zhang
University of California, Berkeley

Emerging Leaders Papers

1
Multi-image encryption scheme with quaternion discrete fractional Tchebyshev moment transform and cross-coupling operation
Signal Processing|2023
178 cit.
2
Convolution and correlation theorems for Wigner–Ville distribution associated with the quaternion offset linear canonical transform
Signal Image and Video Processing|2022
44 cit.
3
Reduced Biquaternion Windowed Linear Canonical Transform: Properties and Applications
Mathematics|2024
32 cit.
4
Octonion spectrum of 3D short-time LCT signals
Optik|2022
28 cit.
5
Multi-dimensional linear canonical transform with applications to sampling and multiplicative filtering
Multidimensional Systems and Signal Processing|2022
26 cit.
6
Scaled Wigner distribution in the offset linear canonical domain
Optik|2022
22 cit.
7
Scaled ambiguity function and scaled Wigner distribution for LCT signals
Optik|2022
22 cit.
8
Convolution, Correlation, and Uncertainty Principles for the Quaternion Offset Linear Canonical Transform
Mathematics|2023
22 cit.
9
Linear canonical ripplet transform: theory and localization operators
Journal of Pseudo-Differential Operators and Applications|2022
21 cit.
10
The 2-D Hyper-complex Gabor quadratic-phase Fourier transform and uncertainty principles
The Journal of Analysis|2022
20 cit.

Current Senior Leaders

Established & currently active

Current Senior Leaders Researchers

1
Terence Tao
University of California, Los Angeles
2
Gilbert P. Compo
Cooperative Institute for Research in Environmental Sciences
3
Zhifeng Zhang
Ningxia Normal University
4
Michael B. Wakin
Colorado School of Mines
5
Justin Romberg
California Institute of Technology
6
Martin Vetterli
National Audiovisual Institute
7
Stephen Boyd
Stanford University
8
Zuowei Shen
National University of Singapore
9
Ronald DeVore
University of South Carolina
10
Karlheinz Gröchenig
University of Vienna

Current Senior Leaders Papers

1
Distributed Optimization and Statistical Learning via the Alternating Direction Method of Multipliers
Foundations and Trends® in Machine Learning|2011
16k cit.
2
Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information
IEEE Transactions on Information Theory|2006
15.8k cit.
3
A Practical Guide to Wavelet Analysis
Bulletin of the American Meteorological Society|1998
14.9k cit.
4
An Introduction To Compressive Sampling
IEEE Signal Processing Magazine|2008
10k cit.
5
Matching pursuits with time-frequency dictionaries
IEEE Transactions on Signal Processing|1993
9.1k cit.
6
Decoding by Linear Programming
IEEE Transactions on Information Theory|2005
7.3k cit.
7
Stable signal recovery from incomplete and inaccurate measurements
Communications on Pure and Applied Mathematics|2006
7.2k cit.
8
Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
IEEE Transactions on Information Theory|2006
6.9k cit.
9
A Singular Value Thresholding Algorithm for Matrix Completion
SIAM Journal on Optimization|2010
5.9k cit.
10
Enhancing Sparsity by Reweighted ℓ 1 Minimization
Journal of Fourier Analysis and Applications|2008
4.9k cit.

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