Class information for:
Level 1: QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20588 453 16.5 25%


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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
609 3       FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES 14179
2288 2             MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS 4575
20588 1                   QUASI GREEDY BASIS//THRESHOLDING GREEDY ALGORITHM//BEST M TERM APPROXIMATION 453

Terms with highest relevance score


rank Term termType Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 QUASI GREEDY BASIS authKW 679675 2% 92% 11
2 THRESHOLDING GREEDY ALGORITHM authKW 471842 2% 100% 7
3 BEST M TERM APPROXIMATION authKW 366985 2% 78% 7
4 PURE GREEDY ALGORITHM authKW 280857 1% 83% 5
5 DEMOCRATIC BASES authKW 269624 1% 100% 4
6 M TERM APPROXIMATION authKW 269620 1% 67% 6
7 GREEDY ALGORITHM authKW 260667 10% 8% 46
8 GREEDY BASIS authKW 254062 2% 54% 7
9 HAAR SYSTEM authKW 227813 3% 26% 13
10 GENERALIZED WALSH SYSTEM authKW 215698 1% 80% 4

Web of Science journal categories


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 Mathematics 17782 84% 0% 382
2 Mathematics, Applied 2095 28% 0% 125
3 Multidisciplinary Sciences 222 4% 0% 18
4 Computer Science, Theory & Methods 18 2% 0% 11
5 Physics, Mathematical 9 2% 0% 9
6 Statistics & Probability 1 1% 0% 4
7 Mechanics 1 2% 0% 7
8 Computer Science, Hardware & Architecture -0 0% 0% 1
9 Computer Science, Information Systems -0 0% 0% 2
10 Mathematics, Interdisciplinary Applications -1 0% 0% 1

Address terms


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 BIURO AKTUARIALNE 67406 0% 100% 1
2 COMPTER 67406 0% 100% 1
3 CUSTOMS SERV 67406 0% 100% 1
4 INTERDISIPLINARY MATH COMPUTAT MODELLING 67406 0% 100% 1
5 OPU MECH MATH 67406 0% 100% 1
6 PROBAIL MODELES ALEATOI 67406 0% 100% 1
7 WYDZIAL MATEMAT UBEZPIECZENIOWEJ 67406 0% 100% 1
8 KAZAKHSTAN BRANCH 30328 1% 15% 3
9 CXV 16850 0% 25% 1
10 THEORY FUNCT 16850 0% 25% 1

Journals


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class
1 UKRAINIAN MATHEMATICAL JOURNAL 89529 8% 4% 36
2 MATHEMATICAL NOTES 60775 15% 1% 67
3 JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES 60301 3% 6% 14
4 CONSTRUCTIVE APPROXIMATION 39013 5% 2% 24
5 ANALYSIS MATHEMATICA 30153 2% 6% 8
6 SBORNIK MATHEMATICS 21073 5% 1% 22
7 JOURNAL OF APPROXIMATION THEORY 17741 7% 1% 30
8 IZVESTIYA MATHEMATICS 16916 3% 2% 15
9 MATHEMATICS OF THE USSR-SBORNIK 13902 3% 2% 12
10 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 12627 3% 1% 14

Author Key Words


Rank Term Chi square Shr. of publ. in
class containing
term		 Class's shr. of
term's tot. occurrences		 #P with
term in
class		 LCSH search Wikipedia search
1 QUASI GREEDY BASIS 679675 2% 92% 11 Search QUASI+GREEDY+BASIS Search QUASI+GREEDY+BASIS
2 THRESHOLDING GREEDY ALGORITHM 471842 2% 100% 7 Search THRESHOLDING+GREEDY+ALGORITHM Search THRESHOLDING+GREEDY+ALGORITHM
3 BEST M TERM APPROXIMATION 366985 2% 78% 7 Search BEST+M+TERM+APPROXIMATION Search BEST+M+TERM+APPROXIMATION
4 PURE GREEDY ALGORITHM 280857 1% 83% 5 Search PURE+GREEDY+ALGORITHM Search PURE+GREEDY+ALGORITHM
5 DEMOCRATIC BASES 269624 1% 100% 4 Search DEMOCRATIC+BASES Search DEMOCRATIC+BASES
6 M TERM APPROXIMATION 269620 1% 67% 6 Search M+TERM+APPROXIMATION Search M+TERM+APPROXIMATION
7 GREEDY ALGORITHM 260667 10% 8% 46 Search GREEDY+ALGORITHM Search GREEDY+ALGORITHM
8 GREEDY BASIS 254062 2% 54% 7 Search GREEDY+BASIS Search GREEDY+BASIS
9 HAAR SYSTEM 227813 3% 26% 13 Search HAAR+SYSTEM Search HAAR+SYSTEM
10 GENERALIZED WALSH SYSTEM 215698 1% 80% 4 Search GENERALIZED+WALSH+SYSTEM Search GENERALIZED+WALSH+SYSTEM

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.


Rank Reference # ref.
in cl.		 Shr. of ref. in
cl.		 Citations
1 GRIGORYAN, MG , (2012) MODIFICATIONS OF FUNCTIONS, FOURIER COEFFICIENTS AND NONLINEAR APPROXIMATION.SBORNIK MATHEMATICS. VOL. 203. ISSUE 3. P. 351 -379 15 100% 1
2 BAZARKHANOV, DB , (2016) NONLINEAR TRIGONOMETRIC APPROXIMATIONS OF MULTIVARIATE FUNCTION CLASSES.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 293. ISSUE 1. P. 2 -36 13 100% 0
3 GRIGORYAN, MG , NAVASARDYAN, KA , (2016) UNIVERSAL FUNCTIONS IN 'CORRECTION' PROBLEMS GUARANTEEING THE CONVERGENCE OF FOURIER-WALSH SERIES.IZVESTIYA MATHEMATICS. VOL. 80. ISSUE 6. P. 1057 -1083 12 100% 0
4 GRIGORIAN, MG , SARGSYAN, AA , (2008) NON-LINEAR APPROXIMATION OF CONTINUOUS FUNCTIONS BY THE FABER-SCHAUDER SYSTEM.SBORNIK MATHEMATICS. VOL. 199. ISSUE 5-6. P. 629-653 13 100% 2
5 GALOYAN, LN , GRIGORYAN, MG , KOBELYAN, AK , (2015) CONVERGENCE OF FOURIER SERIES IN CLASSICAL SYSTEMS.SBORNIK MATHEMATICS. VOL. 206. ISSUE 7. P. 941 -979 11 100% 0
6 ALBIAC, F , ANSORENA, JL , (2016) CHARACTERIZATION OF 1-QUASI-GREEDY BASES.JOURNAL OF APPROXIMATION THEORY. VOL. 201. ISSUE . P. 7 -12 9 100% 1
7 EPISKOPOSYAN, SA , (2013) ON THE UNIFORM CONVERGENCE OF THE GREEDY ALGORITHM IN A GENERALIZED WALSH SYSTEM.SIBERIAN MATHEMATICAL JOURNAL. VOL. 54. ISSUE 5. P. 810-816 10 100% 0
8 ALEKSANYAN, H , (2012) NONLINEAR APPROXIMATION BY RENORMALIZED TRIGONOMETRIC SYSTEM.JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES. VOL. 47. ISSUE 2. P. 86 -96 10 100% 0
9 KAMONT, A , TEMLYAKOV, VN , (2004) GREEDY APPROXIMATION AND THE MULTIVARIATE HAAR SYSTEM.STUDIA MATHEMATICA. VOL. 161. ISSUE 3. P. 199-223 13 93% 7
10 TEMLYAKOV, VN , (2003) NONLINEAR METHODS OF APPROXIMATION.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 3. ISSUE 1. P. 33-107 20 54% 106

Classes with closest relation at Level 1


Rank Class id link
1 33318 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
2 37197 DIVERGENCE SETS//LACUNARY SEQUENCE OF PARTIAL SUMS//MATH ANAL GEOMETRY
3 37650 SIMPLE PARTIAL FRACTION//CHAIR FUNCT ANAL ITS PLICAT//RESTRICTION ON THE POLES
4 19898 ENTROPY NUMBERS//APPROXIMATION NUMBERS//COMPACT EMBEDDINGS
5 26692 PROJET ANAL FONCTIONNELLE//FUNCTIONS OF BOUNDED P VARIATION//FACTORISATION INEQUALITY
6 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
7 37501 COMBINATION TECHNIQUE//TWO SCALE DISCRETIZATION//SPARSE GRIDS
8 36311 CONVERGENCE WITH RATES//DIRICHLET PROBLEM CONTINUOUS AND DISCRETE//FIRST AND SECOND MODULI OF CONTINUITY
9 7734 WAVELET GALERKIN METHOD//WAVELETS//TRIGONOMETRIC WAVELETS
10 30804 MONO COMPONENT//BEDROSIAN IDENTITY//RATIONAL ORTHOGONAL SYSTEM

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