Graph Drawing via Gradient Descent, $(GD)^2$ Article Swipe
Reyan Ahmed
,
Felice De Luca
,
Sabin Devkota
,
Stephen Kobourov
,
Mingwei Li
·
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2008.05584
YOU?
·
· 2020
· Open Access
·
· DOI: https://doi.org/10.48550/arxiv.2008.05584
Readability criteria, such as distance or neighborhood preservation, are often used to optimize node-link representations of graphs to enable the comprehension of the underlying data. With few exceptions, graph drawing algorithms typically optimize one such criterion, usually at the expense of others. We propose a layout approach, Graph Drawing via Gradient Descent, $(GD)^2$, that can handle multiple readability criteria. $(GD)^2$ can optimize any criterion that can be described by a smooth function. If the criterion cannot be captured by a smooth function, a non-smooth function for the criterion is combined with another smooth function, or auto-differentiation tools are used for the optimization. Our approach is flexible and can be used to optimize several criteria that have already been considered earlier (e.g., obtaining ideal edge lengths, stress, neighborhood preservation) as well as other criteria which have not yet been explicitly optimized in such fashion (e.g., vertex resolution, angular resolution, aspect ratio). We provide quantitative and qualitative evidence of the effectiveness of $(GD)^2$ with experimental data and a functional prototype: \url{http://hdc.cs.arizona.edu/~mwli/graph-drawing/}.
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Metadata
- Type
- preprint
- Language
- en
- Landing Page
- http://arxiv.org/abs/2008.05584
- https://arxiv.org/pdf/2008.05584
- OA Status
- green
- Cited By
- 3
- References
- 33
- Related Works
- 10
- OpenAlex ID
- https://openalex.org/W3048779471
All OpenAlex metadata
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- OpenAlex ID
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https://openalex.org/W3048779471Canonical identifier for this work in OpenAlex
- DOI
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https://doi.org/10.48550/arxiv.2008.05584Digital Object Identifier
- Title
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Graph Drawing via Gradient Descent, $(GD)^2$Work title
- Type
-
preprintOpenAlex work type
- Language
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enPrimary language
- Publication year
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2020Year of publication
- Publication date
-
2020-08-12Full publication date if available
- Authors
-
Reyan Ahmed, Felice De Luca, Sabin Devkota, Stephen Kobourov, Mingwei LiList of authors in order
- Landing page
-
https://arxiv.org/abs/2008.05584Publisher landing page
- PDF URL
-
https://arxiv.org/pdf/2008.05584Direct link to full text PDF
- Open access
-
YesWhether a free full text is available
- OA status
-
greenOpen access status per OpenAlex
- OA URL
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https://arxiv.org/pdf/2008.05584Direct OA link when available
- Concepts
-
Readability, Computer science, Graph, Vertex (graph theory), Function (biology), Graph drawing, Graph Layout, Extension (predicate logic), Gradient descent, Algorithm, Theoretical computer science, Artificial intelligence, Evolutionary biology, Biology, Artificial neural network, Programming languageTop concepts (fields/topics) attached by OpenAlex
- Cited by
-
3Total citation count in OpenAlex
- Citations by year (recent)
-
2023: 1, 2022: 1, 2021: 1Per-year citation counts (last 5 years)
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33Number of works referenced by this work
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-
10Other works algorithmically related by OpenAlex
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| referenced_works_count | 33 |
| abstract_inverted_index.a | 44, 69, 79, 82, 165 |
| abstract_inverted_index.If | 72 |
| abstract_inverted_index.We | 42, 150 |
| abstract_inverted_index.as | 3, 128, 130 |
| abstract_inverted_index.at | 37 |
| abstract_inverted_index.be | 66, 76, 108 |
| abstract_inverted_index.by | 68, 78 |
| abstract_inverted_index.in | 140 |
| abstract_inverted_index.is | 88, 104 |
| abstract_inverted_index.of | 15, 21, 40, 156, 159 |
| abstract_inverted_index.or | 5, 94 |
| abstract_inverted_index.to | 11, 17, 110 |
| abstract_inverted_index.Our | 102 |
| abstract_inverted_index.and | 106, 153, 164 |
| abstract_inverted_index.any | 62 |
| abstract_inverted_index.are | 8, 97 |
| abstract_inverted_index.can | 54, 60, 65, 107 |
| abstract_inverted_index.few | 26 |
| abstract_inverted_index.for | 85, 99 |
| abstract_inverted_index.not | 135 |
| abstract_inverted_index.one | 33 |
| abstract_inverted_index.the | 19, 22, 38, 73, 86, 100, 157 |
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| abstract_inverted_index.yet | 136 |
| abstract_inverted_index.With | 25 |
| abstract_inverted_index.been | 117, 137 |
| abstract_inverted_index.data | 163 |
| abstract_inverted_index.edge | 123 |
| abstract_inverted_index.have | 115, 134 |
| abstract_inverted_index.such | 2, 34, 141 |
| abstract_inverted_index.that | 53, 64, 114 |
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| abstract_inverted_index.well | 129 |
| abstract_inverted_index.with | 90, 161 |
| abstract_inverted_index.Graph | 47 |
| abstract_inverted_index.data. | 24 |
| abstract_inverted_index.graph | 28 |
| abstract_inverted_index.ideal | 122 |
| abstract_inverted_index.often | 9 |
| abstract_inverted_index.other | 131 |
| abstract_inverted_index.tools | 96 |
| abstract_inverted_index.which | 133 |
| abstract_inverted_index.(e.g., | 120, 143 |
| abstract_inverted_index.aspect | 148 |
| abstract_inverted_index.cannot | 75 |
| abstract_inverted_index.enable | 18 |
| abstract_inverted_index.graphs | 16 |
| abstract_inverted_index.handle | 55 |
| abstract_inverted_index.layout | 45 |
| abstract_inverted_index.smooth | 70, 80, 92 |
| abstract_inverted_index.vertex | 144 |
| abstract_inverted_index.Drawing | 48 |
| abstract_inverted_index.already | 116 |
| abstract_inverted_index.angular | 146 |
| abstract_inverted_index.another | 91 |
| abstract_inverted_index.drawing | 29 |
| abstract_inverted_index.earlier | 119 |
| abstract_inverted_index.expense | 39 |
| abstract_inverted_index.fashion | 142 |
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| abstract_inverted_index.propose | 43 |
| abstract_inverted_index.provide | 151 |
| abstract_inverted_index.ratio). | 149 |
| abstract_inverted_index.several | 112 |
| abstract_inverted_index.stress, | 125 |
| abstract_inverted_index.usually | 36 |
| abstract_inverted_index.$(GD)^2$ | 59, 160 |
| abstract_inverted_index.Descent, | 51 |
| abstract_inverted_index.Gradient | 50 |
| abstract_inverted_index.approach | 103 |
| abstract_inverted_index.captured | 77 |
| abstract_inverted_index.combined | 89 |
| abstract_inverted_index.criteria | 113, 132 |
| abstract_inverted_index.distance | 4 |
| abstract_inverted_index.evidence | 155 |
| abstract_inverted_index.flexible | 105 |
| abstract_inverted_index.function | 84 |
| abstract_inverted_index.lengths, | 124 |
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| abstract_inverted_index.optimize | 12, 32, 61, 111 |
| abstract_inverted_index.$(GD)^2$, | 52 |
| abstract_inverted_index.approach, | 46 |
| abstract_inverted_index.criteria, | 1 |
| abstract_inverted_index.criteria. | 58 |
| abstract_inverted_index.criterion | 63, 74, 87 |
| abstract_inverted_index.described | 67 |
| abstract_inverted_index.function, | 81, 93 |
| abstract_inverted_index.function. | 71 |
| abstract_inverted_index.node-link | 13 |
| abstract_inverted_index.obtaining | 121 |
| abstract_inverted_index.optimized | 139 |
| abstract_inverted_index.typically | 31 |
| abstract_inverted_index.algorithms | 30 |
| abstract_inverted_index.considered | 118 |
| abstract_inverted_index.criterion, | 35 |
| abstract_inverted_index.explicitly | 138 |
| abstract_inverted_index.functional | 166 |
| abstract_inverted_index.non-smooth | 83 |
| abstract_inverted_index.prototype: | 167 |
| abstract_inverted_index.underlying | 23 |
| abstract_inverted_index.Readability | 0 |
| abstract_inverted_index.exceptions, | 27 |
| abstract_inverted_index.qualitative | 154 |
| abstract_inverted_index.readability | 57 |
| abstract_inverted_index.resolution, | 145, 147 |
| abstract_inverted_index.experimental | 162 |
| abstract_inverted_index.neighborhood | 6, 126 |
| abstract_inverted_index.quantitative | 152 |
| abstract_inverted_index.comprehension | 20 |
| abstract_inverted_index.effectiveness | 158 |
| abstract_inverted_index.optimization. | 101 |
| abstract_inverted_index.preservation) | 127 |
| abstract_inverted_index.preservation, | 7 |
| abstract_inverted_index.representations | 14 |
| abstract_inverted_index.auto-differentiation | 95 |
| abstract_inverted_index.\url{http://hdc.cs.arizona.edu/~mwli/graph-drawing/}. | 168 |
| cited_by_percentile_year | |
| countries_distinct_count | 1 |
| institutions_distinct_count | 5 |
| sustainable_development_goals[0].id | https://metadata.un.org/sdg/11 |
| sustainable_development_goals[0].score | 0.7699999809265137 |
| sustainable_development_goals[0].display_name | Sustainable cities and communities |
| citation_normalized_percentile |