Class information for:
Level 1: BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
17758 584 24.7 40%



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
446 3       MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 26149
114 2             MATHEMATICS, APPLIED//JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS//GLOBAL CONVERGENCE 25008
17758 1                   BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION 584

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 BUNDLE METHODS authKW 2202357 13% 57% 74
2 NONSMOOTH OPTIMIZATION authKW 1367576 19% 24% 111
3 NONDIFFERENTIABLE OPTIMIZATION authKW 911983 7% 41% 43
4 PROXIMAL BUNDLE METHODS authKW 629593 3% 71% 17
5 VU DECOMPOSITION authKW 575139 2% 100% 11
6 U LAGRANGIAN authKW 418283 1% 100% 8
7 GRADIENT SAMPLING authKW 385007 2% 82% 9
8 APPROXIMATE SUBGRADIENTS authKW 334623 1% 80% 8
9 LEVEL METHOD authKW 284662 1% 78% 7
10 PROXIMAL POINT authKW 256180 2% 35% 14

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 Operations Research & Management Science 28643 50% 0% 292
2 Mathematics, Applied 17153 67% 0% 393
3 Computer Science, Software Engineering 3770 19% 0% 110
4 Automation & Control Systems 888 8% 0% 49
5 Computer Science, Cybernetics 535 3% 0% 17
6 COMPUTER APPLICATIONS & CYBERNETICS 491 1% 0% 5
7 Mathematics 88 7% 0% 40
8 Mathematics, Interdisciplinary Applications 78 3% 0% 18
9 Computer Science, Theory & Methods 74 4% 0% 22
10 Computer Science, Artificial Intelligence 60 3% 0% 19

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 PL OPTIMUM DESIGN 117641 1% 75% 3
2 IST CALCOLO RETI AD ALTE P TAZIONI CNR 69712 0% 67% 2
3 INFORMAT PL OPTIMIZAT 53334 2% 10% 10
4 AD OPT 52285 0% 100% 1
5 ADVENCED MOL SCI 52285 0% 100% 1
6 COMP SCI MULTIMEDIA TELECOMUNICAT 52285 0% 100% 1
7 COPPE SISTEMAS COMPUT 52285 0% 100% 1
8 DIP INGN INFORMAT MODELLIST ELETTRON SISTEMIST 52285 0% 100% 1
9 DIPARTIMENTO INFORMAT RECH OPERAT 52285 0% 100% 1
10 ETUDES RECH TOULOUSE 52285 0% 100% 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 MATHEMATICAL PROGRAMMING 84693 12% 2% 71
2 OPTIMIZATION METHODS & SOFTWARE 64499 6% 4% 35
3 SIAM JOURNAL ON OPTIMIZATION 39871 6% 2% 37
4 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 34722 10% 1% 58
5 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 23317 4% 2% 24
6 MATHEMATICAL PROGRAMMING STUDY 22042 2% 4% 10
7 LECTURE NOTES IN ECONOMICS AND MATHEMATICAL SYSTEMS 10176 3% 1% 19
8 NOUVEL AUTOMATISME 6534 0% 13% 1
9 KYBERNETIKA 5118 2% 1% 13
10 JOURNAL OF CONVEX ANALYSIS 4953 2% 1% 9

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 BUNDLE METHODS 2202357 13% 57% 74 Search BUNDLE+METHODS Search BUNDLE+METHODS
2 NONSMOOTH OPTIMIZATION 1367576 19% 24% 111 Search NONSMOOTH+OPTIMIZATION Search NONSMOOTH+OPTIMIZATION
3 NONDIFFERENTIABLE OPTIMIZATION 911983 7% 41% 43 Search NONDIFFERENTIABLE+OPTIMIZATION Search NONDIFFERENTIABLE+OPTIMIZATION
4 PROXIMAL BUNDLE METHODS 629593 3% 71% 17 Search PROXIMAL+BUNDLE+METHODS Search PROXIMAL+BUNDLE+METHODS
5 VU DECOMPOSITION 575139 2% 100% 11 Search VU+DECOMPOSITION Search VU+DECOMPOSITION
6 U LAGRANGIAN 418283 1% 100% 8 Search U+LAGRANGIAN Search U+LAGRANGIAN
7 GRADIENT SAMPLING 385007 2% 82% 9 Search GRADIENT+SAMPLING Search GRADIENT+SAMPLING
8 APPROXIMATE SUBGRADIENTS 334623 1% 80% 8 Search APPROXIMATE+SUBGRADIENTS Search APPROXIMATE+SUBGRADIENTS
9 LEVEL METHOD 284662 1% 78% 7 Search LEVEL+METHOD Search LEVEL+METHOD
10 PROXIMAL POINT 256180 2% 35% 14 Search PROXIMAL+POINT Search PROXIMAL+POINT

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 FUDULI, A , GAUDIOSO, M , NURMINSKI, EA , (2015) A SPLITTING BUNDLE APPROACH FOR NON-SMOOTH NON-CONVEX MINIMIZATION.OPTIMIZATION. VOL. 64. ISSUE 5. P. 1131 -1151 43 96% 0
2 ASTORINO, A , FUDULI, A , GORGONE, E , (2008) NON-SMOOTHNESS IN CLASSIFICATION PROBLEMS.OPTIMIZATION METHODS & SOFTWARE. VOL. 23. ISSUE 5. P. 675 -688 37 77% 9
3 HARE, W , SAGASTIZABAL, C , SOLODOV, M , (2016) A PROXIMAL BUNDLE METHOD FOR NONSMOOTH NONCONVEX FUNCTIONS WITH INEXACT INFORMATION.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 63. ISSUE 1. P. 1 -28 23 77% 2
4 KARMITSA, N , (2015) DIAGONAL BUNDLE METHOD FOR NONSMOOTH SPARSE OPTIMIZATION.JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS. VOL. 166. ISSUE 3. P. 889 -905 25 74% 1
5 DEMYANOV, AV , FUDULI, A , MIGLIONICO, G , (2007) A BUNDLE MODIFICATION STRATEGY FOR CONVEX MINIMIZATION.EUROPEAN JOURNAL OF OPERATIONAL RESEARCH. VOL. 180. ISSUE 1. P. 38-47 23 96% 1
6 ASTORINO, A , FRANGIONI, A , GAUDIOSO, M , GORGONE, E , (2011) PIECEWISE-QUADRATIC APPROXIMATIONS IN CONVEX NUMERICAL OPTIMIZATION.SIAM JOURNAL ON OPTIMIZATION. VOL. 21. ISSUE 4. P. 1418-1438 23 85% 4
7 MAKELA, MM , (2002) SURVEY OF BUNDLE METHODS FOR NONSMOOTH OPTIMIZATION.OPTIMIZATION METHODS & SOFTWARE. VOL. 17. ISSUE 1. P. 1 -29 30 73% 48
8 DE OLIVEIRA, W , SOLODOV, M , (2016) A DOUBLY STABILIZED BUNDLE METHOD FOR NONSMOOTH CONVEX OPTIMIZATION.MATHEMATICAL PROGRAMMING. VOL. 156. ISSUE 1-2. P. 125 -159 18 82% 1
9 YOUSEFPOUR, R , (2016) COMBINATION OF STEEPEST DESCENT AND BFGS METHODS FOR NONCONVEX NONSMOOTH OPTIMIZATION.NUMERICAL ALGORITHMS. VOL. 72. ISSUE 1. P. 57 -90 19 83% 0
10 TOR, AH , BAGIROV, A , KARASOZEN, B , (2014) AGGREGATE CODIFFERENTIAL METHOD FOR NONSMOOTH DC OPTIMIZATION.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 259. ISSUE . P. 851-867 18 90% 0

Classes with closest relation at Level 1



Rank Class id link
1 23956 FIRST ORDER METHODS//ITERATION COMPLEXITY//OPTIMAL METHODS
2 27905 QUASIDIFFERENTIAL CALCULUS//EXHAUSTERS//QUASIDIFFERENTIAL
3 8178 SUPERLINEAR CONVERGENCE//NONLINEAR PROGRAMMING//GLOBAL CONVERGENCE
4 21563 DERIVATIVE FREE OPTIMIZATION//DIRECT SEARCH METHODS//DIRECT SEARCH
5 3823 UNCONSTRAINED OPTIMIZATION//GLOBAL CONVERGENCE//TRUST REGION METHOD
6 3266 METRIC REGULARITY//CODERIVATIVE//SUBDIFFERENTIAL
7 2750 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM
8 6918 VARIATIONAL INCLUSION//AUXILIARY PRINCIPLE//VARIATIONAL INEQUALITY
9 8000 NONLINEAR COMPLEMENTARITY PROBLEM//MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS//GLOBAL CONVERGENCE
10 18682 CONVEX FEASIBILITY PROBLEM//ALTERNATING PROJECTIONS//CONVEX FEASIBILITY

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