Class information for:
Level 1: MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS

Basic class information
Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes
The table includes all classes above and classes immediately below the current class.


Cluster id Level Cluster label #P
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
482 3       MATHEMATICS//APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES 24304
1761 2             APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS//FRAMES//GABOR FRAMES 6749
5290 1                   MULTIWAVELETS//REFINEMENT EQUATION//REFINABLE FUNCTIONS 1675

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MULTIWAVELETS authKW 1286806 7% 60% 114
2 REFINEMENT EQUATION authKW 1148379 4% 88% 69
3 REFINABLE FUNCTIONS authKW 1122180 5% 76% 78
4 CASCADE ALGORITHM authKW 668978 3% 83% 43
5 SHIFT INVARIANT SPACES authKW 617221 4% 46% 72
6 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS journal 583258 10% 18% 168
7 MULTIRESOLUTION ANALYSIS authKW 548890 8% 21% 139
8 SCALING FUNCTION authKW 535941 5% 35% 82
9 REFINABLE FUNCTION VECTORS authKW 414696 1% 96% 23
10 VANISHING MOMENTS authKW 374960 2% 59% 34

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 32989 55% 0% 928
2 Mathematics 15108 41% 0% 694
3 Physics, Mathematical 2949 12% 0% 205
4 Mathematics, Interdisciplinary Applications 1226 7% 0% 110
5 Computer Science, Software Engineering 1112 6% 0% 107
6 Engineering, Electrical & Electronic 173 9% 0% 145
7 Computer Science, Artificial Intelligence 39 2% 0% 32
8 Computer Science, Theory & Methods 36 2% 0% 33
9 Computer Science, Information Systems 29 2% 0% 29
10 Imaging Science & Photographic Technology 22 1% 0% 12

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 LEHRSTUHL NUMER MATH 103230 1% 37% 15
2 HIGHER MATH MATH MODELLING 37629 0% 100% 2
3 NADEC 37629 0% 100% 2
4 MATH STAT SCI 25228 4% 2% 61
5 DMS SPMS 25084 0% 67% 2
6 DIP ME MO MAT 21162 0% 38% 3
7 MATH 19852 41% 0% 687
8 PL MATH CONTROL PROC 19273 1% 9% 11
9 ACOUNTING FINANCE ECON STAT 18814 0% 100% 1
10 AG NUMER WAVELET ANAL 18814 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 APPLIED AND COMPUTATIONAL HARMONIC ANALYSIS 583258 10% 18% 168
2 INTERNATIONAL JOURNAL OF WAVELETS MULTIRESOLUTION AND INFORMATION PROCESSING 183439 5% 12% 83
3 JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS 117341 4% 8% 74
4 ADVANCES IN COMPUTATIONAL MATHEMATICS 37761 2% 6% 34
5 CONSTRUCTIVE APPROXIMATION 33990 3% 4% 43
6 JOURNAL OF APPROXIMATION THEORY 30591 4% 2% 75
7 LECTURE NOTES IN PURE AND APPLIED MATHEMATICS 21342 1% 6% 20
8 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 20929 4% 2% 65
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5793 4% 0% 73
10 ACTA MATHEMATICA SINICA-ENGLISH SERIES 5040 2% 1% 27

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MULTIWAVELETS 1286806 7% 60% 114 Search MULTIWAVELETS Search MULTIWAVELETS
2 REFINEMENT EQUATION 1148379 4% 88% 69 Search REFINEMENT+EQUATION Search REFINEMENT+EQUATION
3 REFINABLE FUNCTIONS 1122180 5% 76% 78 Search REFINABLE+FUNCTIONS Search REFINABLE+FUNCTIONS
4 CASCADE ALGORITHM 668978 3% 83% 43 Search CASCADE+ALGORITHM Search CASCADE+ALGORITHM
5 SHIFT INVARIANT SPACES 617221 4% 46% 72 Search SHIFT+INVARIANT+SPACES Search SHIFT+INVARIANT+SPACES
6 MULTIRESOLUTION ANALYSIS 548890 8% 21% 139 Search MULTIRESOLUTION+ANALYSIS Search MULTIRESOLUTION+ANALYSIS
7 SCALING FUNCTION 535941 5% 35% 82 Search SCALING+FUNCTION Search SCALING+FUNCTION
8 REFINABLE FUNCTION VECTORS 414696 1% 96% 23 Search REFINABLE+FUNCTION+VECTORS Search REFINABLE+FUNCTION+VECTORS
9 VANISHING MOMENTS 374960 2% 59% 34 Search VANISHING+MOMENTS Search VANISHING+MOMENTS
10 WAVELETS 367527 19% 6% 324 Search WAVELETS Search WAVELETS

Core articles
The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.

Classes with closest relation at Level 1


rank cluster_id2 link
1 9812 B SPLINE WAVELET ON THE INTERVAL//WAVELET GALERKIN METHOD//WAVELETS
2 12970 SUBDIVISION SURFACES//SUBDIVISION//COMPUTER AIDED GEOMETRIC DESIGN
3 4533 GABOR FRAMES//MODULATION SPACES//FRAMES
4 13700 BIVARIATE SPLINES//BOX SPLINES//TRIVARIATE SPLINES
5 7951 PERFECT RECONSTRUCTION//FILTER BANKS//LINEAR PHASE
6 22453 JOINT SPECTRAL RADIUS//GENERALIZED SPECTRAL RADIUS//EXTREMAL NORM
7 22071 SELF AFFINE MEASURE//SPECTRAL PAIRS//ORTHOGONAL EXPONENTIALS
8 20725 SHEARLETS//NUMER HARMON ANAL GRP NUHAG//CURVELETS
9 11255 AVERAGE SAMPLING//SAMPLING THEOREM//GENERALIZED SAMPLING
10 5116 IMAGE DENOISING//VIDEO DENOISING//WAVELETS

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