Class information for: |
Basic class information |
Class id | #P | Avg. number of references |
Database coverage of references |
---|---|---|---|
13008 | 866 | 24.6 | 44% |
Hierarchy of classes |
The table includes all classes above and classes immediately below the current class. |
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 | PERSISTENT HOMOLOGY | authKW | 2394719 | 9% | 83% | 82 |
2 | DISCRETE MORSE THEORY | authKW | 1207461 | 6% | 68% | 50 |
3 | COMPUTATIONAL TOPOLOGY | authKW | 838131 | 6% | 49% | 49 |
4 | TOPOLOGICAL DATA ANALYSIS | authKW | 737956 | 3% | 70% | 30 |
5 | REEB GRAPH | authKW | 408061 | 3% | 46% | 25 |
6 | PERSISTENCE DIAGRAM | authKW | 362658 | 1% | 86% | 12 |
7 | MORSE SMALE COMPLEX | authKW | 351358 | 2% | 59% | 17 |
8 | HOM COMPLEX | authKW | 328174 | 1% | 85% | 11 |
9 | TOPOLOGICAL PERSISTENCE | authKW | 293820 | 1% | 83% | 10 |
10 | NATURAL PSEUDO DISTANCE | authKW | 282070 | 1% | 100% | 8 |
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 | Mathematics | 13998 | 55% | 0% | 474 |
2 | Mathematics, Applied | 5020 | 31% | 0% | 266 |
3 | Computer Science, Software Engineering | 4513 | 17% | 0% | 147 |
4 | Computer Science, Theory & Methods | 2826 | 16% | 0% | 140 |
5 | Computer Science, Artificial Intelligence | 344 | 6% | 0% | 50 |
6 | Physics, Mathematical | 116 | 4% | 0% | 34 |
7 | Statistics & Probability | 58 | 3% | 0% | 22 |
8 | Robotics | 25 | 1% | 0% | 5 |
9 | Computer Science, Interdisciplinary Applications | 10 | 2% | 0% | 14 |
10 | Mathematics, Interdisciplinary Applications | 10 | 1% | 0% | 11 |
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 | ADV ELECT SYST ERCOLE DE CASTRO | 141035 | 0% | 100% | 4 |
2 | ARCES | 77032 | 3% | 10% | 23 |
3 | MATMIDIA | 45329 | 0% | 43% | 3 |
4 | COMP SCI BIOENGN ROBOT SYST ENGN | 37603 | 0% | 27% | 4 |
5 | DPTO GEOMETRIA TOPOL | 37323 | 1% | 18% | 6 |
6 | CASC LLNL CS | 35259 | 0% | 100% | 1 |
7 | CNRSUMR 7324 | 35259 | 0% | 100% | 1 |
8 | COMPUTAT CRD | 35259 | 0% | 100% | 1 |
9 | COMPUTAT SCI ENGN MED | 35259 | 0% | 100% | 1 |
10 | DEVIS CHILD ADOLESCENT PSYCHIAT | 35259 | 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 | DISCRETE & COMPUTATIONAL GEOMETRY | 61561 | 7% | 3% | 60 |
2 | FOUNDATIONS OF COMPUTATIONAL MATHEMATICS | 60600 | 3% | 7% | 26 |
3 | IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS | 32323 | 6% | 2% | 48 |
4 | HOMOLOGY HOMOTOPY AND APPLICATIONS | 24365 | 2% | 4% | 16 |
5 | COMPUTATIONAL GEOMETRY-THEORY AND APPLICATIONS | 18793 | 3% | 2% | 24 |
6 | COMPUTER GRAPHICS FORUM | 9137 | 3% | 1% | 28 |
7 | JOURNAL OF COMBINATORIAL THEORY SERIES A | 8390 | 3% | 1% | 28 |
8 | ELECTRONIC JOURNAL OF COMBINATORICS | 4065 | 2% | 1% | 17 |
9 | COMBINATORICA | 3760 | 1% | 1% | 12 |
10 | APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING | 3702 | 1% | 1% | 8 |
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 | PERSISTENT HOMOLOGY | 2394719 | 9% | 83% | 82 | Search PERSISTENT+HOMOLOGY | Search PERSISTENT+HOMOLOGY |
2 | DISCRETE MORSE THEORY | 1207461 | 6% | 68% | 50 | Search DISCRETE+MORSE+THEORY | Search DISCRETE+MORSE+THEORY |
3 | COMPUTATIONAL TOPOLOGY | 838131 | 6% | 49% | 49 | Search COMPUTATIONAL+TOPOLOGY | Search COMPUTATIONAL+TOPOLOGY |
4 | TOPOLOGICAL DATA ANALYSIS | 737956 | 3% | 70% | 30 | Search TOPOLOGICAL+DATA+ANALYSIS | Search TOPOLOGICAL+DATA+ANALYSIS |
5 | REEB GRAPH | 408061 | 3% | 46% | 25 | Search REEB+GRAPH | Search REEB+GRAPH |
6 | PERSISTENCE DIAGRAM | 362658 | 1% | 86% | 12 | Search PERSISTENCE+DIAGRAM | Search PERSISTENCE+DIAGRAM |
7 | MORSE SMALE COMPLEX | 351358 | 2% | 59% | 17 | Search MORSE+SMALE+COMPLEX | Search MORSE+SMALE+COMPLEX |
8 | HOM COMPLEX | 328174 | 1% | 85% | 11 | Search HOM+COMPLEX | Search HOM+COMPLEX |
9 | TOPOLOGICAL PERSISTENCE | 293820 | 1% | 83% | 10 | Search TOPOLOGICAL+PERSISTENCE | Search TOPOLOGICAL+PERSISTENCE |
10 | NATURAL PSEUDO DISTANCE | 282070 | 1% | 100% | 8 | Search NATURAL+PSEUDO+DISTANCE | Search NATURAL+PSEUDO+DISTANCE |
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 | HEINE, C , LEITTE, H , HLAWITSCHKA, M , IURICICH, F , DE FLORIANI, L , SCHEUERMANN, G , HAGEN, H , GARTH, C , (2016) A SURVEY OF TOPOLOGY-BASED METHODS IN VISUALIZATION.COMPUTER GRAPHICS FORUM. VOL. 35. ISSUE 3. P. 643 -667 | 63 | 51% | 0 |
2 | DE FLORIANI, L , FUGACCI, U , IURICICH, F , MAGILLO, P , (2015) MORSE COMPLEXES FOR SHAPE SEGMENTATION AND HOMOLOGICAL ANALYSIS: DISCRETE MODELS AND ALGORITHMS.COMPUTER GRAPHICS FORUM. VOL. 34. ISSUE 2. P. 761 -785 | 41 | 79% | 1 |
3 | BIASOTTI, S , DE FLORIANI, L , FALCIDIENO, B , FROSINI, P , GIORGI, D , LANDI, C , PAPALEO, L , SPAGNUOLO, M , (2008) DESCRIBING SHAPES BY GEOMETRICAL-TOPOLOGICAL PROPERTIES OF REAL FUNCTIONS.ACM COMPUTING SURVEYS. VOL. 40. ISSUE 4. P. - | 48 | 47% | 53 |
4 | FROSINI, P , CERRI, A , (2015) NECESSARY CONDITIONS FOR DISCONTINUITIES OF MULTIDIMENSIONAL PERSISTENT BETTI NUMBERS.MATHEMATICAL METHODS IN THE APPLIED SCIENCES. VOL. 38. ISSUE 4. P. 617 -629 | 21 | 100% | 1 |
5 | BUBENIK, P , (2015) STATISTICAL TOPOLOGICAL DATA ANALYSIS USING PERSISTENCE LANDSCAPES.JOURNAL OF MACHINE LEARNING RESEARCH. VOL. 16. ISSUE . P. 77 -102 | 18 | 95% | 12 |
6 | LESNICK, M , (2015) THE THEORY OF THE INTERLEAVING DISTANCE ON MULTIDIMENSIONAL PERSISTENCE MODULES.FOUNDATIONS OF COMPUTATIONAL MATHEMATICS. VOL. 15. ISSUE 3. P. 613 -650 | 19 | 100% | 4 |
7 | DORAISWAMY, H , NATARAJAN, V , (2013) COMPUTING REEB GRAPHS AS A UNION OF CONTOUR TREES.IEEE TRANSACTIONS ON VISUALIZATION AND COMPUTER GRAPHICS. VOL. 19. ISSUE 2. P. 249 -262 | 21 | 91% | 6 |
8 | ALLILI, M , KACZYNSKI, T , LANDI, C , (2017) REDUCING COMPLEXES IN MULTIDIMENSIONAL PERSISTENT HOMOLOGY THEORY.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 78. ISSUE . P. 61 -75 | 17 | 100% | 0 |
9 | FROSINI, P , JABLONSKI, G , (2016) COMBINING PERSISTENT HOMOLOGY AND INVARIANCE GROUPS FOR SHAPE COMPARISON.DISCRETE & COMPUTATIONAL GEOMETRY. VOL. 55. ISSUE 2. P. 373 -409 | 17 | 94% | 1 |
10 | BUBENIK, P , DLOTKO, P , (2017) A PERSISTENCE LANDSCAPES TOOLBOX FOR TOPOLOGICAL STATISTICS.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 78. ISSUE . P. 91 -114 | 20 | 80% | 0 |
Classes with closest relation at Level 1 |