Class information for:
Level 1: HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
678 3       UNITARILY INVARIANT NORM//NONEXTENSIVE STATISTICAL MECHANICS//OPERATOR INEQUALITY 8932
1877 2             UNITARILY INVARIANT NORM//NONEXTENSIVE STATISTICAL MECHANICS//OPERATOR INEQUALITY 6363
24525 1                   HADAMARD MANIFOLD//RIEMANNIAN OPTIMIZATION//MONOTONE VECTOR FIELDS 332

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HADAMARD MANIFOLD authKW 2309499 13% 57% 43
2 RIEMANNIAN OPTIMIZATION authKW 1060579 5% 62% 18
3 MONOTONE VECTOR FIELDS authKW 768928 3% 90% 9
4 K NULLITY VECTOR FIELD authKW 474648 2% 100% 5
5 PSEUDOMONOTONE VECTOR FIELD authKW 474648 2% 100% 5
6 SECOND COVARIANT DIFFERENTIAL authKW 474648 2% 100% 5
7 AFFINE CONFORMAL VECTOR FIELD authKW 379718 1% 100% 4
8 FIXED RANK MANIFOLD authKW 379718 1% 100% 4
9 L AVERAGE LIPSCHITZ CONDITION authKW 379718 1% 100% 4
10 MONOTONE VECTOR FIELD authKW 379718 1% 100% 4

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 8250 62% 0% 206
2 Operations Research & Management Science 2496 20% 0% 66
3 Mathematics 2492 38% 0% 126
4 Computer Science, Artificial Intelligence 214 7% 0% 24
5 Automation & Control Systems 52 3% 0% 10
6 Computer Science, Software Engineering 40 3% 0% 10
7 Computer Science, Theory & Methods 31 3% 0% 11
8 Engineering, Electrical & Electronic 19 7% 0% 24
9 Engineering, General 14 2% 0% 7
10 Mathematics, Interdisciplinary Applications 11 2% 0% 6

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UNIV NACL CALLAO 126571 1% 67% 2
2 NONLINEAR MATH ANAL 122049 1% 43% 3
3 ANLISIS MATEMAT 94930 0% 100% 1
4 CHAIR NUMER ALGORITHMS HPC 94930 0% 100% 1
5 DIPARTIMENTO ELETTRON INTELLIGENA ARTIFICIALE T 94930 0% 100% 1
6 GEN EDUC KUMAMOTO ASO 94930 0% 100% 1
7 POLO DIDATT SCI TERNANO 94930 0% 100% 1
8 RUA PEDRO NUNES 94930 0% 100% 1
9 STROJNI FAK 94930 0% 100% 1
10 VIA BRECCE BIANCHE 94930 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 BALKAN JOURNAL OF GEOMETRY AND ITS APPLICATIONS 24384 2% 3% 8
2 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 8857 7% 0% 22
3 SIAM JOURNAL ON OPTIMIZATION 7397 4% 1% 12
4 JOURNAL OF GLOBAL OPTIMIZATION 7039 4% 1% 13
5 IMA JOURNAL OF NUMERICAL ANALYSIS 4040 2% 1% 8
6 OPTIMIZATION 3670 2% 1% 5
7 FOUNDATIONS OF COMPUTATIONAL MATHEMATICS 3652 1% 1% 4
8 TAIWANESE JOURNAL OF MATHEMATICS 3462 2% 0% 8
9 OPTIMIZATION LETTERS 3348 2% 1% 6
10 SET-VALUED AND VARIATIONAL ANALYSIS 3112 1% 1% 3

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HADAMARD MANIFOLD 2309499 13% 57% 43 Search HADAMARD+MANIFOLD Search HADAMARD+MANIFOLD
2 RIEMANNIAN OPTIMIZATION 1060579 5% 62% 18 Search RIEMANNIAN+OPTIMIZATION Search RIEMANNIAN+OPTIMIZATION
3 MONOTONE VECTOR FIELDS 768928 3% 90% 9 Search MONOTONE+VECTOR+FIELDS Search MONOTONE+VECTOR+FIELDS
4 K NULLITY VECTOR FIELD 474648 2% 100% 5 Search K+NULLITY+VECTOR+FIELD Search K+NULLITY+VECTOR+FIELD
5 PSEUDOMONOTONE VECTOR FIELD 474648 2% 100% 5 Search PSEUDOMONOTONE+VECTOR+FIELD Search PSEUDOMONOTONE+VECTOR+FIELD
6 SECOND COVARIANT DIFFERENTIAL 474648 2% 100% 5 Search SECOND+COVARIANT+DIFFERENTIAL Search SECOND+COVARIANT+DIFFERENTIAL
7 AFFINE CONFORMAL VECTOR FIELD 379718 1% 100% 4 Search AFFINE+CONFORMAL+VECTOR+FIELD Search AFFINE+CONFORMAL+VECTOR+FIELD
8 FIXED RANK MANIFOLD 379718 1% 100% 4 Search FIXED+RANK+MANIFOLD Search FIXED+RANK+MANIFOLD
9 L AVERAGE LIPSCHITZ CONDITION 379718 1% 100% 4 Search L+AVERAGE+LIPSCHITZ+CONDITION Search L+AVERAGE+LIPSCHITZ+CONDITION
10 MONOTONE VECTOR FIELD 379718 1% 100% 4 Search MONOTONE+VECTOR+FIELD Search MONOTONE+VECTOR+FIELD

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 35842 MULTITIME MAXIMUM PRINCIPLE//MATH INFORMAT 1//MULTITIME DYNAMIC PROGRAMMING
2 17368 SHAPE SPACE//EXTRINSIC MEAN//FRECHET MEAN
3 17004 ISOSPECTRAL FLOW//TODA FLOW//NUMERICAL INTEGRATION OF ORDINARY DIFFERENTIAL EQUATIONS ON MANIFOLDS
4 8878 MONOTONE INCLUSION//PROXIMAL POINT METHOD//PROXIMAL POINT ALGORITHM
5 34457 MINTY BROWDER MONOTONE OPERATORS//ELLIPTIC LIKE REGULARIZATION//CONVERGENCE IN THE SENSE OF RESOLVENT
6 31933 EPIDEMIOL BIOSTAT MC923//ALTERNATING PROJECTIONS METHOD//LOW RANK CORRELATION MATRIX
7 5428 ORDER OF CONVERGENCE//SEMILOCAL CONVERGENCE//NONLINEAR EQUATIONS
8 8112 SYMMETRIC DUALITY//DUALITY THEOREMS//GENERALIZED CONVEXITY
9 12278 MATRIX COMPLETION//SUBSPACE CLUSTERING//NON RIGID STRUCTURE FROM MOTION
10 27671 LIE QUADRATIC//RIEMANNIAN CUBIC//MOTION FAIRING

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