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Generalized Pythagoras Trees: A Fractal Approach to Hierarchy Visualization [chapter]

Fabian Beck, Michael Burch, Tanja Munz, Lorenzo Di Silvestro, Daniel Weiskopf
2015 Communications in Computer and Information Science  
An example are binary branching Pythagoras Trees. By stopping the recursion in certain branches, a binary hierarchy can be encoded and visualized.  ...  But this binary encoding is an obstacle for representing general hierarchical data such as file systems or phylogenetic trees, which usually branch into more than two subhierarchies.  ...  Acknowledgments We would like to thank Kay Nieselt, University of Tübingen, for providing the NCBI taxonomy dataset.  ... 
doi:10.1007/978-3-319-25117-2_8 fatcat:55jbif4z4be7vohlv6fwjqc75u

Automated Transformation from Competency List to Tree: Way to Competency-Based Adaptive Knowledge E-Evaluation

Asta Margienė, Simona Ramanauskaitė, Justas Nugaras, Pavel Stefanovič
2022 Applied Sciences  
The case analysis illustrates the model's capability to generate a qualitative tree from the competency list, where the average accuracy of competency assignment to appropriate parent competency is 72%  ...  Therefore, in this paper, we propose a transformation model dedicated to converting the competency list to a competency tree.  ...  The codes, or numbering, for each competency were generated; however, they were used just for visualization because codes were not used in the transformation model.  ... 
doi:10.3390/app12031582 fatcat:5pnfqnt2djapbbdhvrg6hxpasi

AGINFRA PLUS D2.1 - Data & semantics layer: technical specifications report

Pythagoras Karampiperis, Antonis Koukourikos
2018 Zenodo  
the specification is based on the analysis of the latest use case requirements analysis, restructuring the layer if necessary and reporting on relevant and immediately applicable technical solutions for  ...  Skosmos provides a multilingual user interface for browsing and searching the data and for visualizing concept hierarchies.  ...  The VOWL visualizations are automatically generated from JSON files into which the ontologies need to be converted.  ... 
doi:10.5281/zenodo.1304055 fatcat:x6yh53326ncqretu6ruabjsf2q

The Publication of a Knowledge Organization Classification System as a Linked Data Vocabulary

Olga Lavrenova, Vasily Pavlov
2017 International Conference on Theory and Practice of Digital Libraries  
The RSL General Classified Catalog was selected as the main source of data for the Classification system.  ...  The project goal is to support the content and indexing; enable information search based on structured knowledge; provide a semantic roadmap for the user; offer the tools to ensure the system's interoperability  ...  Classification numbers generated for specific publications and manuscripts in the course of cataloguing may contain up to 20 and more hierarchy levels.  ... 
dblp:conf/ercimdl/LavrenovaP17 fatcat:yrzaul4rfrbybpayctvoidnaum

Pythagorean Triplets, Integral Apollonians and The Hofstadter Butterfly [article]

Indubala Satija
2018 arXiv   pre-print
For example, for butterflies with centers at E = 0, σ + = σ − = qc 2 and τ ± = pc∓1 2 . Pythagoras -Apollonian -Butterfly Meet We now consider only the C-cell butterflies.  ...  Figure 4 . 4 Farey tree provides a systematic way of generating all primitive rationals. Figure 5 . 5 Figure 5.  ... 
arXiv:1802.04585v3 fatcat:c7hsvqc36jb27od72hfy5ljbyi

An Immune Network for Contextual Text Data Clustering [chapter]

Krzysztof Ciesielski, Sławomir T. Wierzchoń, Mieczysław A. Kłopotek
2006 Lecture Notes in Computer Science  
We present a novel approach to incremental document maps creation, which relies upon partition of a given collection of documents into a hierarchy of homogeneous groups of documents represented by different  ...  To visualize similarity relation between contexts (represented by a set of contextual models), additional "global" map is required. Such a model becomes the root of contextual maps hierarchy.  ...  the maximal dissimilarity between two cells Such optimization is based on the generalized Pythagoras theorem: if v 1 , v 2 , v 3 are the edges of a triangle (v 1 + v 2 + v 3 = 0) then |v 3 | 2 = |v 1  ... 
doi:10.1007/11823940_33 fatcat:6qzlahrkyffzrioxttt7fg4ycm

Music as Art and Science: An Evaluation

Eunice. U. Ibekwe
2020 UJAH Unizik Journal of Arts and Humanities  
According to him, "musical mind is a hierarchy of talents, branching out along certain trunk line into the rich arborisation, foliage, and fruitage of tree" (p. 2).  ...  Every traditional society has various ways of transmitting her culture to her younger generations, and for the Africans, music is one of the major ways.  ... 
doi:10.4314/ujah.v21i1.7 fatcat:nsex4pegvraxxffnaoerkajsza

Phylogeographic information systems: putting the geography into phylogeography

David M. Kidd, Michael G. Ritchie
2006 Journal of Biogeography  
ACKNOWLEDGEMENTS We are grateful to Ruth Hamill, Constantino Macias-Garcia and Pablo Gesundheit for some valuable comments concerning this article and Andrew Hugall for supplying Fig. 3 .  ...  We also thank two anonymous referees for their extensive and valued comments. This work was supported by NERC standard grant NER/A/S/2001/00450.  ...  More complex interactive visualization of geographical hierarchies can be undertaken with linked graphics windows displaying colour-coded trees and maps; selection of a level of hierarchy in the tree results  ... 
doi:10.1111/j.1365-2699.2006.01574.x fatcat:wmvwix4djnapljsyvecbbfsuzu

Opportunity to learn first year mathematics in teacher training colleges in Ghana

YKA Etsey
2006 African Journal of Educational Studies in Mathematics and Sciences  
An alpha level of 0.05 was used for all statistical tests. The results showed that two topics, measures of central tendency and conditional probability were not taught.  ...  These programmes were General Arts, Science, Home Economics, Visual Arts, Business, Agriculture, and Technical.  ...  For the purposes of this study, since some of the programmes did not have adequate number of students, the programmes were grouped into Arts-based (General Arts, Visual Arts) and Science-based (Agriculture  ... 
doi:10.4314/ajesms.v2i2.38595 fatcat:yeq76d3qpjbpbdlp644remhufi

What more than a hundred project groups reveal about teaching visualization

Michael Burch, Elisabeth Melby
2020 Journal of Visualization  
The growing number of students can be a challenge for teaching visualization lectures, supervision, evaluation, and grading.  ...  Moreover, designing visualization courses by matching the different experiences and skills of the students is a major goal in order to find a common solvable task for all of them.  ...  on treemaps (Shneiderman 1992) , 16 on bubblemaps (Hlawatsch et al. 2014) , 9 on Pythagoras trees (Beck et al. 2014; Bosman 2004) , 6 on icicle plots (Kruskal and Landwehr 1983) , 5 on bubble hierarchies  ... 
doi:10.1007/s12650-020-00659-6 fatcat:gskwekzhd5a3bf3rlqxzikmuiy

Combining expert systems and adaptive hypermedia technologies in a Web based educational system

I. Hatzilygeroudis, C. Giannoulis, C. Koutsojannis
2005 Fifth IEEE International Conference on Advanced Learning Technologies (ICALT'05)  
Acknowledgements We thank the European Social Fund (ESF), Operational Program for Educational and Vocational Training II (EPEAEK II), and particularly the Program PYTHAGORAS I, for funding the above work  ...  The navigational area builds its contents in a hierarchy (tree) based on the priorities stored in DM. So, a simple type of curriculum sequencing is achieved.  ...  In general they enjoyed learning with both versions of the system very much (Q3 and Q6, Table 4 ), with an overhead (of about 15%) for the adaptive version.  ... 
doi:10.1109/icalt.2005.86 fatcat:ewr4knrggrcpzdb2uiggs6bejm

Machine Number Sense: A Dataset of Visual Arithmetic Problems for Abstract and Relational Reasoning

Wenhe Zhang, Chi Zhang, Yixin Zhu, Song-Chun Zhu
2020 PROCEEDINGS OF THE THIRTIETH AAAI CONFERENCE ON ARTIFICIAL INTELLIGENCE AND THE TWENTY-EIGHTH INNOVATIVE APPLICATIONS OF ARTIFICIAL INTELLIGENCE CONFERENCE  
To endow such a crucial cognitive ability to machine intelligence, we propose a dataset, Machine Number Sense (MNS), consisting of visual arithmetic problems automatically generated using a grammar model—And-Or  ...  Altogether, we call for attention in fusing the classic search-based algorithms with modern neural networks to discover the essential number concepts in future research.  ...  Hongjing Lu at UCLA Psychology Department for helpful discussions.  ... 
doi:10.1609/aaai.v34i02.5489 fatcat:3clzdwd7yzd5pflnadzfjeggwy

Machine Number Sense: A Dataset of Visual Arithmetic Problems for Abstract and Relational Reasoning [article]

Wenhe Zhang, Chi Zhang, Yixin Zhu, Song-Chun Zhu
2020 arXiv   pre-print
To endow such a crucial cognitive ability to machine intelligence, we propose a dataset, Machine Number Sense (MNS), consisting of visual arithmetic problems automatically generated using a grammar model  ...  Altogether, we call for attention in fusing the classic search-based algorithms with modern neural networks to discover the essential number concepts in future research.  ...  Hongjing Lu at UCLA Psychology Department for helpful discussions.  ... 
arXiv:2004.12193v1 fatcat:t43fhh465jbrtbwggadphp4fie

Harmony in Shakespeare

LUO Chun-xia
2018 Journal of Literature and Art Studies  
This hierarchy provides for variety on a vertical scale-known as the great chain of being.  ...  By Maria: Dumain is mine, as sure as bark on tree.  ... 
doi:10.17265/2159-5836/2018.02.002 fatcat:3su2q32gsvckzlwj5mur65vr74

A Graphical Rule Authoring Tool for Defeasible Reasoning in the Semantic Web [chapter]

Nick Bassiliades, Efstratios Kontopoulos, Grigoris Antoniou, Ioannis Vlahavas
2005 Lecture Notes in Computer Science  
Rule visualization follows the tree model of RuleML.  ...  In this paper we present a graphical authoring tool for defeasible logic rules that acts as a shell for the DR-DEVICE defeasible reasoning system over RDF metadata.  ...  Acknowledgments This work is partially funded by the Greek Ministry of Education (EPEAEK) and the European Union under the Pythagoras II programme.  ... 
doi:10.1007/11573036_38 fatcat:eoqqak6lbrcxlkecqlbca3rnve
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