Class information for:
Level 1: ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//TIKHONOV REGULARIZATION

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
22 4 AUTOMATION & CONTROL SYSTEMS//ENGINEERING, CIVIL//ACOUSTICS 457813
441 3       INVERSE PROBLEMS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE SCATTERING 27955
2090 2             ILL POSED PROBLEM//INVERSE PROBLEM//DISCREPANCY PRINCIPLE 5566
7586 1                   ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//TIKHONOV REGULARIZATION 1375

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ILL POSED PROBLEM authKW 1184825 16% 24% 220
2 DISCREPANCY PRINCIPLE authKW 984081 5% 57% 75
3 TIKHONOV REGULARIZATION authKW 699589 11% 20% 156
4 NONLINEAR ILL POSED PROBLEMS authKW 520945 2% 78% 29
5 DISCRETE ILL POSED PROBLEMS authKW 469495 2% 79% 26
6 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS journal 414883 6% 21% 87
7 INVERSE PROBLEMS journal 403587 18% 7% 249
8 REGULARIZATION authKW 376534 18% 7% 243
9 LINEAR ILL POSED PROBLEMS authKW 286491 1% 83% 15
10 SOURCE CONDITION authKW 258547 1% 59% 19

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 58166 81% 0% 1107
2 Physics, Mathematical 8311 22% 0% 303
3 Mathematics 3058 21% 0% 295
4 Computer Science, Software Engineering 407 4% 0% 61
5 Mathematics, Interdisciplinary Applications 188 3% 0% 43
6 Engineering, General 102 3% 0% 36
7 Operations Research & Management Science 48 2% 0% 25
8 Computer Science, Theory & Methods 40 2% 0% 30
9 COMPUTER APPLICATIONS & CYBERNETICS 31 0% 0% 2
10 Computer Science, Cybernetics 28 1% 0% 7

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 IND MATH 257749 5% 17% 67
2 JOHANN RADON COMPUTAT PL MATH 66287 2% 9% 31
3 BASIC TEACHING MINIST 45839 0% 100% 2
4 IND MATH HBEREICH 3 45839 0% 100% 2
5 HBEREICH 03 38193 0% 33% 5
6 MATH CIRAM 36667 0% 40% 4
7 CEFET BA 30558 0% 67% 2
8 FUZZY LOG ORATORIUM LINZ HAGENBERG 30558 0% 67% 2
9 GEOMATH SICHUAN 29465 0% 43% 3
10 ZENTRUM TECHNOMATH 28678 1% 10% 12

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 414883 6% 21% 87
2 INVERSE PROBLEMS 403587 18% 7% 249
3 NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION 27381 3% 2% 48
4 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 25172 2% 4% 25
5 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 23494 1% 7% 14
6 BIT NUMERICAL MATHEMATICS 20666 3% 2% 37
7 INVERSE PROBLEMS AND IMAGING 16918 1% 4% 19
8 NUMERISCHE MATHEMATIK 16623 3% 2% 47
9 NUMERICAL ALGORITHMS 11686 2% 2% 31
10 SIAM JOURNAL ON NUMERICAL ANALYSIS 11604 3% 1% 46

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ILL POSED PROBLEM 1184825 16% 24% 220 Search ILL+POSED+PROBLEM Search ILL+POSED+PROBLEM
2 DISCREPANCY PRINCIPLE 984081 5% 57% 75 Search DISCREPANCY+PRINCIPLE Search DISCREPANCY+PRINCIPLE
3 TIKHONOV REGULARIZATION 699589 11% 20% 156 Search TIKHONOV+REGULARIZATION Search TIKHONOV+REGULARIZATION
4 NONLINEAR ILL POSED PROBLEMS 520945 2% 78% 29 Search NONLINEAR+ILL+POSED+PROBLEMS Search NONLINEAR+ILL+POSED+PROBLEMS
5 DISCRETE ILL POSED PROBLEMS 469495 2% 79% 26 Search DISCRETE+ILL+POSED+PROBLEMS Search DISCRETE+ILL+POSED+PROBLEMS
6 REGULARIZATION 376534 18% 7% 243 Search REGULARIZATION Search REGULARIZATION
7 LINEAR ILL POSED PROBLEMS 286491 1% 83% 15 Search LINEAR+ILL+POSED+PROBLEMS Search LINEAR+ILL+POSED+PROBLEMS
8 SOURCE CONDITION 258547 1% 59% 19 Search SOURCE+CONDITION Search SOURCE+CONDITION
9 HILBERT SCALES 257839 1% 75% 15 Search HILBERT+SCALES Search HILBERT+SCALES
10 GENERAL SOURCE CONDITIONS 235742 1% 86% 12 Search GENERAL+SOURCE+CONDITIONS Search GENERAL+SOURCE+CONDITIONS

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 28696 NUMERICAL DIFFERENTIATION//AUTOMATIC FILTERING//MOLLIFICATION
2 18280 WAVELET MULTISCALE METHOD//INVERSE COEFFICIENT PROBLEM//METHOD OF VARIATIONAL IMBEDDING
3 13515 ILL POSED PROBLEM//DATA COMPLETION//BACKWARD HEAT PROBLEM
4 33251 WEEKS METHOD//INVERSION OF LAPLACE TRANSFORM//LAPLACE TRANSFORM INVERSION
5 34836 DYNAMICAL SYSTEMS METHOD DSM//MULTIPLICATIVE CALCULUS//NON NEWTONIAN CALCULUS
6 1959 TOTAL VARIATION//IMAGE DENOISING//IMAGE RESTORATION
7 23767 SMOOTHING SPLINES//GENERALIZED CROSS VALIDATION//BAYESIAN CONFIDENCE INTERVAL
8 12143 WHITE NOISE MODEL//DECONVOLUTION//ADAPTIVE ESTIMATION
9 38805 EPI QUASI INVERSE//GALERKIN ERROR ESTIMATES//IMPROPER BLOCK LINEAR PROGRAMS
10 37963 PROJECT UTT INRIA GAMMA3//GRP AUTOMAT MESH GENERAT ADV METHODS//PROJECT GRP AUTOMAT MESH GENERAT ADV METHODS

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