Class information for:
Level 1: POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//POLYNOMIAL OPTIMIZATION

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
318 3       MATHEMATICS//STUDIA MATHEMATICA//MATH 39244
2619 2             HYERS ULAM STABILITY//HYERS ULAM RASSIAS STABILITY//GENERALIZED HYERS ULAM STABILITY 3797
9576 1                   POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//POLYNOMIAL OPTIMIZATION 1173

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 POSITIVE POLYNOMIALS authKW 800678 4% 65% 46
2 POSITIVSTELLENSATZ authKW 796355 3% 87% 34
3 POLYNOMIAL OPTIMIZATION authKW 739020 5% 49% 56
4 COMPLETELY POSITIVE MATRICES authKW 737683 3% 89% 31
5 COPOSITIVE PROGRAMMING authKW 672667 2% 96% 26
6 SEMIDEFINITE PROGRAMMING authKW 628078 14% 14% 164
7 COPOSITIVE MATRICES authKW 605395 2% 87% 26
8 SUM OF SQUARES authKW 543034 6% 31% 65
9 GLOBAL OPTIMALITY CONDITIONS authKW 435223 2% 60% 27
10 SEMIDEFINITE RELAXATIONS authKW 387950 2% 76% 19

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 28427 61% 0% 719
2 Operations Research & Management Science 23507 32% 0% 377
3 Mathematics 10671 42% 0% 488
4 Computer Science, Software Engineering 1986 10% 0% 116
5 Automation & Control Systems 441 4% 0% 52
6 Computer Science, Theory & Methods 183 4% 0% 48
7 COMPUTER APPLICATIONS & CYBERNETICS 86 0% 0% 3
8 Computer Science, Cybernetics 47 1% 0% 8
9 Mathematics, Interdisciplinary Applications 29 2% 0% 19
10 Engineering, General 19 2% 0% 18

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HBEREICH MATH STAT 218466 3% 21% 39
2 UPORABNO MATEMAT 161202 1% 100% 6
3 FAK NARAVOSLOVJE MATEMAT 158033 1% 59% 10
4 MATH EECS 85973 0% 80% 4
5 URA D 751 80601 0% 100% 3
6 FB MATH 12 64473 1% 40% 6
7 FAK MATEMAT FIZ 57304 1% 27% 8
8 LAAS 53929 6% 3% 67
9 CANADA EXCELLENCE CHAIR DATA SCI REAL TIME DE 53734 0% 100% 2
10 ISOR 49116 1% 23% 8

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SIAM JOURNAL ON OPTIMIZATION 123279 8% 5% 92
2 MATHEMATICAL PROGRAMMING 68780 8% 3% 90
3 JOURNAL OF GLOBAL OPTIMIZATION 52977 6% 3% 67
4 LINEAR ALGEBRA AND ITS APPLICATIONS 19282 8% 1% 92
5 OPTIMIZATION LETTERS 19206 2% 3% 27
6 COMPUTATIONAL OPTIMIZATION AND APPLICATIONS 12634 2% 2% 25
7 PACIFIC JOURNAL OF OPTIMIZATION 9577 1% 3% 12
8 JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS 8248 3% 1% 40
9 OPTIMIZATION METHODS & SOFTWARE 7476 1% 2% 17
10 JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION 3293 1% 1% 10

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 POSITIVE POLYNOMIALS 800678 4% 65% 46 Search POSITIVE+POLYNOMIALS Search POSITIVE+POLYNOMIALS
2 POSITIVSTELLENSATZ 796355 3% 87% 34 Search POSITIVSTELLENSATZ Search POSITIVSTELLENSATZ
3 POLYNOMIAL OPTIMIZATION 739020 5% 49% 56 Search POLYNOMIAL+OPTIMIZATION Search POLYNOMIAL+OPTIMIZATION
4 COMPLETELY POSITIVE MATRICES 737683 3% 89% 31 Search COMPLETELY+POSITIVE+MATRICES Search COMPLETELY+POSITIVE+MATRICES
5 COPOSITIVE PROGRAMMING 672667 2% 96% 26 Search COPOSITIVE+PROGRAMMING Search COPOSITIVE+PROGRAMMING
6 SEMIDEFINITE PROGRAMMING 628078 14% 14% 164 Search SEMIDEFINITE+PROGRAMMING Search SEMIDEFINITE+PROGRAMMING
7 COPOSITIVE MATRICES 605395 2% 87% 26 Search COPOSITIVE+MATRICES Search COPOSITIVE+MATRICES
8 SUM OF SQUARES 543034 6% 31% 65 Search SUM+OF+SQUARES Search SUM+OF+SQUARES
9 GLOBAL OPTIMALITY CONDITIONS 435223 2% 60% 27 Search GLOBAL+OPTIMALITY+CONDITIONS Search GLOBAL+OPTIMALITY+CONDITIONS
10 SEMIDEFINITE RELAXATIONS 387950 2% 76% 19 Search SEMIDEFINITE+RELAXATIONS Search SEMIDEFINITE+RELAXATIONS

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 23999 ALMOST EVERYWHERE STABILITY//BORGS CRITERION//CONTRACTION METRIC
2 30917 DE FINETTI STYLE THEOREMS//CONELIKE//PERFECT SEMIGROUP
3 33115 CANONICAL DUALITY THEORY//TRIALITY THEORY//CANONICAL DUAL TRANSFORMATION
4 11928 MAX CUT PROBLEM//QUADRATIC 0 1 PROGRAMMING//BINARY QUADRATIC PROGRAMMING
5 8713 GLOBAL OPTIMIZATION//JOURNAL OF GLOBAL OPTIMIZATION//SUM OF RATIOS
6 12226 REAL ALGEBRAIC VARIETY//SPECIAL GROUPS//REAL PLACES
7 24902 2 VARIABLE WEIGHTED SHIFTS//SUBNORMAL PAIRS//HYPONORMAL
8 4371 INTERIOR POINT METHODS//POLYNOMIAL COMPLEXITY//INTERIOR POINT ALGORITHM
9 14163 CUTTING PLANES//LIFT AND PROJECT//SPLIT CUTS
10 9592 CANDECOMP//NONNEGATIVE TENSOR//TENSOR DECOMPOSITION

Go to start page