Class information for:
Level 1: FIRST ORDER METHODS//ITERATION COMPLEXITY//OPTIMAL METHODS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23956 328 30.3 42%


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
23956 1                   FIRST ORDER METHODS//ITERATION COMPLEXITY//OPTIMAL METHODS 328

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 FIRST ORDER METHODS authKW 507503 4% 42% 13
2 ITERATION COMPLEXITY authKW 433237 3% 42% 11
3 OPTIMAL METHODS authKW 423148 3% 45% 10
4 COMPOSITE MINIMIZATION authKW 372380 1% 100% 4
5 SMOOTH CONVEX MINIMIZATION authKW 372380 1% 100% 4
6 MINIMUM VOLUME ELLIPSOIDS authKW 332479 2% 71% 5
7 COMPLEXITY BOUNDS authKW 304669 2% 55% 6
8 MIRROR DESCENT ALGORITHM authKW 297902 1% 80% 4
9 BLACK BOX METHODS authKW 279285 1% 100% 3
10 COORDINATE RELAXATION authKW 279285 1% 100% 3

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 10212 40% 0% 131
2 Mathematics, Applied 7475 59% 0% 195
3 Computer Science, Software Engineering 2899 22% 0% 72
4 Computer Science, Artificial Intelligence 1495 18% 0% 59
5 Automation & Control Systems 1453 14% 0% 46
6 Engineering, Electrical & Electronic 69 11% 0% 36
7 Computer Science, Information Systems 37 3% 0% 11
8 Computer Science, Theory & Methods 31 3% 0% 11
9 Instruments & Instrumentation 11 3% 0% 9
10 Computer Science, Hardware & Architecture 9 1% 0% 4

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 ICTEAM CORE 124125 1% 67% 2
2 COMP CONTROL MANAGEMENT ENGNEERING 93095 0% 100% 1
3 DFG EACH MATHEON 93095 0% 100% 1
4 HARDWARE ACCELERAT 93095 0% 100% 1
5 INRIA SIERRA TEAM 93095 0% 100% 1
6 PREMO 93095 0% 100% 1
7 UNIT 308 313 93095 0% 100% 1
8 INFORMAT INFERENCE SYST LIONS 93091 1% 33% 3
9 HAROLD S MOHLER 53194 1% 29% 2
10 SIERRA PROJECT TEAM 53194 1% 29% 2

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 SIAM JOURNAL ON OPTIMIZATION 186905 18% 3% 60
2 MATHEMATICAL PROGRAMMING 80918 16% 2% 52
3 JOURNAL OF MACHINE LEARNING RESEARCH 53444 9% 2% 30
4 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 18457 5% 1% 16
5 OPTIMIZATION METHODS & SOFTWARE 18366 4% 1% 14
6 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 4688 5% 0% 16
7 MACHINE LEARNING 2700 2% 0% 6
8 AUTOMATION AND REMOTE CONTROL 1576 2% 0% 8
9 MATHEMATICS OF OPERATIONS RESEARCH 1227 2% 0% 5
10 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 944 1% 1% 2

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 FIRST ORDER METHODS 507503 4% 42% 13 Search FIRST+ORDER+METHODS Search FIRST+ORDER+METHODS
2 ITERATION COMPLEXITY 433237 3% 42% 11 Search ITERATION+COMPLEXITY Search ITERATION+COMPLEXITY
3 OPTIMAL METHODS 423148 3% 45% 10 Search OPTIMAL+METHODS Search OPTIMAL+METHODS
4 COMPOSITE MINIMIZATION 372380 1% 100% 4 Search COMPOSITE+MINIMIZATION Search COMPOSITE+MINIMIZATION
5 SMOOTH CONVEX MINIMIZATION 372380 1% 100% 4 Search SMOOTH+CONVEX+MINIMIZATION Search SMOOTH+CONVEX+MINIMIZATION
6 MINIMUM VOLUME ELLIPSOIDS 332479 2% 71% 5 Search MINIMUM+VOLUME+ELLIPSOIDS Search MINIMUM+VOLUME+ELLIPSOIDS
7 COMPLEXITY BOUNDS 304669 2% 55% 6 Search COMPLEXITY+BOUNDS Search COMPLEXITY+BOUNDS
8 MIRROR DESCENT ALGORITHM 297902 1% 80% 4 Search MIRROR+DESCENT+ALGORITHM Search MIRROR+DESCENT+ALGORITHM
9 BLACK BOX METHODS 279285 1% 100% 3 Search BLACK+BOX+METHODS Search BLACK+BOX+METHODS
10 COORDINATE RELAXATION 279285 1% 100% 3 Search COORDINATE+RELAXATION Search COORDINATE+RELAXATION

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 ITO, M , (2016) NEW RESULTS ON SUBGRADIENT METHODS FOR STRONGLY CONVEX OPTIMIZATION PROBLEMS WITH A UNIFIED ANALYSIS.COMPUTATIONAL OPTIMIZATION AND APPLICATIONS. VOL. 65. ISSUE 1. P. 127 -172 20 95% 0
2 ITO, M , FUKUDA, M , (2016) A FAMILY OF SUBGRADIENT-BASED METHODS FOR CONVEX OPTIMIZATION PROBLEMS IN A UNIFYING FRAMEWORK.OPTIMIZATION METHODS & SOFTWARE. VOL. 31. ISSUE 5. P. 952 -982 18 95% 0
3 QU, Z , RICHTARIK, P , (2016) COORDINATE DESCENT WITH ARBITRARY SAMPLING I: ALGORITHMS AND COMPLEXITY.OPTIMIZATION METHODS & SOFTWARE. VOL. 31. ISSUE 5. P. 829 -857 19 86% 0
4 DANG, CD , LAN, GH , (2015) STOCHASTIC BLOCK MIRROR DESCENT METHODS FOR NONSMOOTH AND STOCHASTIC OPTIMIZATION.SIAM JOURNAL ON OPTIMIZATION. VOL. 25. ISSUE 2. P. 856 -881 16 84% 1
5 FERCOQ, O , RICHTARIK, P , (2016) OPTIMIZATION IN HIGH DIMENSIONS VIA ACCELERATED, PARALLEL, AND PROXIMAL COORDINATE DESCENT.SIAM REVIEW. VOL. 58. ISSUE 4. P. 739 -771 18 72% 0
6 LIN, QH , LU, ZS , XIAO, L , (2015) AN ACCELERATED RANDOMIZED PROXIMAL COORDINATE GRADIENT METHOD AND ITS APPLICATION TO REGULARIZED EMPIRICAL RISK MINIMIZATION.SIAM JOURNAL ON OPTIMIZATION. VOL. 25. ISSUE 4. P. 2244 -2273 16 73% 6
7 QU, Z , RICHTARIK, P , (2016) COORDINATE DESCENT WITH ARBITRARY SAMPLING II: EXPECTED SEPARABLE OVERAPPROXIMATION.OPTIMIZATION METHODS & SOFTWARE. VOL. 31. ISSUE 5. P. 858 -884 14 82% 0
8 NEUMAIER, A , (2016) OSGA: A FAST SUBGRADIENT ALGORITHM WITH OPTIMAL COMPLEXITY.MATHEMATICAL PROGRAMMING. VOL. 158. ISSUE 1-2. P. 1 -21 15 75% 0
9 XU, YY , YIN, WT , (2015) BLOCK STOCHASTIC GRADIENT ITERATION FOR CONVEX AND NONCONVEX OPTIMIZATION.SIAM JOURNAL ON OPTIMIZATION. VOL. 25. ISSUE 3. P. 1686 -1716 18 60% 1
10 BECK, A , PAUWELS, E , SABACH, S , (2015) THE CYCLIC BLOCK CONDITIONAL GRADIENT METHOD FOR CONVEX OPTIMIZATION PROBLEMS.SIAM JOURNAL ON OPTIMIZATION. VOL. 25. ISSUE 4. P. 2024 -2049 14 78% 0

Classes with closest relation at Level 1


Rank Class id link
1 17758 BUNDLE METHODS//NONSMOOTH OPTIMIZATION//NONDIFFERENTIABLE OPTIMIZATION
2 15231 PREDICTION WITH EXPERT ADVICE//GAME THEORETIC PROBABILITY//REGRET MINIMIZATION
3 6918 VARIATIONAL INCLUSION//AUXILIARY PRINCIPLE//VARIATIONAL INEQUALITY
4 18682 CONVEX FEASIBILITY PROBLEM//ALTERNATING PROJECTIONS//CONVEX FEASIBILITY
5 307 COMPRESSED SENSING//COMPRESSIVE SENSING//RESTRICTED ISOMETRY PROPERTY
6 3308 LASSO//VARIABLE SELECTION//ORACLE PROPERTY
7 2578 SUPPORT VECTOR MACHINE//TWIN SUPPORT VECTOR MACHINE//MULTI CLASS CLASSIFICATION
8 22378 HEAVY BALL WITH FRICTION//KURDYKA LOJASIEWICZ INEQUALITY//DISSIPATIVE DYNAMICAL SYSTEM
9 2836 TOTAL VARIATION//IMAGE RESTORATION//IMAGE DENOISING
10 3823 UNCONSTRAINED OPTIMIZATION//GLOBAL CONVERGENCE//TRUST REGION METHOD

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