Class information for:
Level 1: DISCREPANCY PRINCIPLE//DYNAMICAL SYSTEMS METHOD DSM//NONLINEAR ILL POSED PROBLEMS

Basic class information

ID Publications Average number
of references
Avg. shr. active
ref. in WoS
8335 1194 21.7 43%



Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)



ID, lev.
above
Publications Label for level above
1793 5776 ILL POSED PROBLEM//DISCREPANCY PRINCIPLE//ILL POSED PROBLEMS

Terms with highest relevance score



Rank Term Type of term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 DISCREPANCY PRINCIPLE Author keyword 67 61% 6% 71
2 DYNAMICAL SYSTEMS METHOD DSM Author keyword 37 100% 1% 14
3 NONLINEAR ILL POSED PROBLEMS Author keyword 35 74% 2% 26
4 ILL POSED PROBLEMS Author keyword 29 25% 9% 102
5 ILL POSED PROBLEM Author keyword 24 20% 9% 104
6 AUTOCONVOLUTION EQUATIONS Author keyword 23 100% 1% 10
7 ORDER OPTIMAL ERROR BOUNDS Author keyword 20 100% 1% 9
8 TIKHONOV REGULARIZATION Author keyword 20 16% 10% 116
9 LINEAR ILL POSED PROBLEMS Author keyword 19 80% 1% 12
10 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS Journal 19 23% 6% 71

Web of Science journal categories

Author Key Words



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
LCSH search Wikipedia search
1 DISCREPANCY PRINCIPLE 67 61% 6% 71 Search DISCREPANCY+PRINCIPLE Search DISCREPANCY+PRINCIPLE
2 DYNAMICAL SYSTEMS METHOD DSM 37 100% 1% 14 Search DYNAMICAL+SYSTEMS+METHOD+DSM Search DYNAMICAL+SYSTEMS+METHOD+DSM
3 NONLINEAR ILL POSED PROBLEMS 35 74% 2% 26 Search NONLINEAR+ILL+POSED+PROBLEMS Search NONLINEAR+ILL+POSED+PROBLEMS
4 ILL POSED PROBLEMS 29 25% 9% 102 Search ILL+POSED+PROBLEMS Search ILL+POSED+PROBLEMS
5 ILL POSED PROBLEM 24 20% 9% 104 Search ILL+POSED+PROBLEM Search ILL+POSED+PROBLEM
6 AUTOCONVOLUTION EQUATIONS 23 100% 1% 10 Search AUTOCONVOLUTION+EQUATIONS Search AUTOCONVOLUTION+EQUATIONS
7 ORDER OPTIMAL ERROR BOUNDS 20 100% 1% 9 Search ORDER+OPTIMAL+ERROR+BOUNDS Search ORDER+OPTIMAL+ERROR+BOUNDS
8 TIKHONOV REGULARIZATION 20 16% 10% 116 Search TIKHONOV+REGULARIZATION Search TIKHONOV+REGULARIZATION
9 LINEAR ILL POSED PROBLEMS 19 80% 1% 12 Search LINEAR+ILL+POSED+PROBLEMS Search LINEAR+ILL+POSED+PROBLEMS
10 MULTI PARAMETER REGULARIZATION 18 89% 1% 8 Search MULTI+PARAMETER+REGULARIZATION Search MULTI+PARAMETER+REGULARIZATION

Key Words Plus



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 ILL POSED PROBLEMS 160 36% 30% 364
2 TIKHONOV REGULARIZATION 92 40% 15% 178
3 REGULARISATION 76 85% 3% 40
4 POSTERIORI PARAMETER CHOICE 61 88% 2% 29
5 HILBERT SCALES 47 64% 4% 46
6 CONVERGENCE RATES 30 21% 11% 131
7 LANDWEBER ITERATION 30 62% 3% 31
8 VARIABLE HILBERT SCALES 27 78% 2% 18
9 GAUSS NEWTON METHOD 24 45% 3% 41
10 OPTIMAL CONVERGENCE RATES 22 67% 2% 20

Journals



Rank Web of Science journal category Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 JOURNAL OF INVERSE AND ILL-POSED PROBLEMS 19 23% 6% 71
2 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 2 11% 1% 16

Reviews



Title Publ. year Cit. Active references % act. ref.
to same field
Sparsity regularization for parameter identification problems 2012 10 89 29%
A fast multiscale Galerkin method for the first kind ill-posed integral equations via iterated regularization 2013 0 10 70%
Inverse problems in systems biology 2009 15 111 20%
Sparse linear algebra and geophysical migration: A review of direct and iterative methods 2002 2 14 29%
OPTIMALITY IN THE REGULARIZATION OF ILL-POSED INVERSE PROBLEMS 1987 0 3 67%
A NOTE ON STOPPING RULES FOR ITERATIVE REGULARIZATION METHODS AND FILTERED SVD 1987 4 2 50%

Address terms



Rank Address term Relevance score
(tfidf)
Class's shr.
of term's tot.
occurrences
Shr. of publ.
in class containing
term
Num. of
publ. in
class
1 IND MATH 10 16% 4.9% 58
2 JOHANN RADON COMPUTAT PL MATH 3 11% 2.4% 29
3 CEFET BA 2 67% 0.2% 2
4 FUZZY LOG ORATORIUM LINZ HAGENBERG 2 67% 0.2% 2
5 MATH CIRAM 2 40% 0.3% 4
6 FUZZY LOG LINZ HAGENBERG 2 36% 0.3% 4
7 BASIC TEACHING MINIST 1 100% 0.2% 2
8 IND MATH HBEREICH 3 1 100% 0.2% 2
9 STAT INVERSE PROBLEMS BIOPHYS GRP 1 50% 0.2% 2
10 HBEREICH 03 1 29% 0.3% 4

Related classes at same level (level 1)



Rank Relatedness score Related classes
1 0.0000152593 FICTITIOUS TIME INTEGRATION METHOD FTIM//BACKWARD HEAT CONDUCTION PROBLEM//BACKWARD HEAT PROBLEM
2 0.0000141422 INVERSE COEFFICIENT PROBLEM//WAVELET MULTISCALE METHOD//EQUATION OF MEMBRANE WITH STRONG VISCOSITY
3 0.0000096526 GENERALIZED CROSS VALIDATION//GENERALIZED MAXIMUM LIKELIHOOD//SMOOTHING SPLINE
4 0.0000090933 WHITE NOISE MODEL//ADAPTIVE CURVE ESTIMATION//DENSITY DECONVOLUTION
5 0.0000079769 DIPARTIMENTO CHIM FIS MATEMAT//TOEPLITZ MATRIX//PCG METHOD
6 0.0000077708 LINEAR AND CONVEX PROGRAMMING//FEJER PROCESSES//BARRIER FUNCTION METHOD
7 0.0000073733 TOTAL VARIATION//IMAGE DENOISING//IMAGE INPAINTING
8 0.0000065112 SLOWLY CONVERGENT SERIES//WEEKS METHOD//INVERSION OF LAPLACE TRANSFORM
9 0.0000059012 TOTAL LEAST SQUARES//STRUCTURED TOTAL LEAST SQUARES//GEODETIC SURVEYS
10 0.0000055107 FORCE IDENTIFICATION//LOAD IDENTIFICATION//ADAPTIVE WEIGHTING INPUT ESTIMATION