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Software Development for Transitions of Graphs from Discrete State into the Continuous State |
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PP: 2929-2935 |
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Author(s) |
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Ahmet Koltuksuz,
Çağatay Yücel,
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Abstract |
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| Manifolds are suitable differentiable mathematical objects for information to be defined on. By their very definition they
are non-Euclidean in the global view but in local scales they resemble Euclidean spaces. This property provides that the contemporary
information models can also be defined within the previsioned new models of information models. One of the most basic representations
of information is through graphs. They are discrete and highly computable mathematical objects. In this research, the main aim is to
investigate methods of embedding this simple piece of information onto manifolds. This research shows that the very fundamental data
structures of computer science can be transformed into the continuous spaces and wide area of applications can be engineered such as
pattern recognition or anomaly detection. The visualizations of the inspected methods are the evidence of that the graph data can carry
new characteristics other than classical properties of graphs such as curvature, locality or multi-dimensionality. |
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