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Part 1: Document Description
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Citation |
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Title: |
The Freaky Torus |
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Identification Number: |
doi:10.60507/FK2/LORXU7 |
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Distributor: |
bonndata |
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Date of Distribution: |
2023-06-29 |
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Version: |
1 |
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Bibliographic Citation: |
Sassen, Josua; Hildebrandt, Klaus; Rumpf, Martin; Wirth, Benedikt, 2023, "The Freaky Torus", https://doi.org/10.60507/FK2/LORXU7, bonndata, V1 |
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Citation |
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Title: |
The Freaky Torus |
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Subtitle: |
A Synthetic Product Shape Manifold |
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Identification Number: |
doi:10.60507/FK2/LORXU7 |
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Authoring Entity: |
Sassen, Josua (University of Bonn) |
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Hildebrandt, Klaus (TU Delft) |
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Rumpf, Martin (University of Bonn) |
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Wirth, Benedikt (University of Münster) |
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Software used in Production: |
Python |
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Distributor: |
bonndata |
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Access Authority: |
Sassen, Josua |
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Depositor: |
Sassen, Josua |
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Date of Deposit: |
2023-06-28 |
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Holdings Information: |
https://doi.org/10.60507/FK2/LORXU7 |
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Study Scope |
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Keywords: |
Computer and Information Science, Mathematical Sciences |
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Abstract: |
This dataset contains the Python code to compute samples on our shape space Freaky Torus of deformed tori, a synthetic shape space with factors S¹×S¹×T² The first factor, an S¹, controls the deformation of the latitudinal cross-section into a rotated ellipse. The next factor, another S¹, controls the deformation of the longitudinal cross-section into a rotated ellipse. The third factor, a two-dimensional flat torus T², controls the position of a bump on the deformed torus. Above, we visualize our synthetic shape space by demonstrating the effect of moving along the individual factors to the final shape. More details on the construction can be found in the appendix of the ICLR 2023 paper Parametrizing Product Shape Manifolds by Composite Networks. Additional to the code, we also include the exact dataset that we used for the results of our paper in the data folder. |
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Methodology and Processing |
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Sources Statement |
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Data Access |
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Other Study Description Materials |
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Related Publications |
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Citation |
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Title: |
Parametrizing Product Shape Manifolds by Composite Networks. Josua Sassen, Klaus Hildebrandt, Martin Rumpf, and Benedikt Wirth. In: The Eleventh International Conference on Learning Representations. 2023. |
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Identification Number: |
https://openreview.net/forum?id=F_EhNDSamN |
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Bibliographic Citation: |
Parametrizing Product Shape Manifolds by Composite Networks. Josua Sassen, Klaus Hildebrandt, Martin Rumpf, and Benedikt Wirth. In: The Eleventh International Conference on Learning Representations. 2023. |
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LICENSE |
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text/plain; charset=US-ASCII |
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main.py |
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text/x-python |
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poetry.lock |
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application/octet-stream |
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pyproject.toml |
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application/octet-stream |
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README.md |
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text/markdown |
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Coordinates.npy |
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application/octet-stream |
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Coordinates_0.npy |
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application/octet-stream |
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Coordinates_1.npy |
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application/octet-stream |
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Coordinates_2.npy |
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application/octet-stream |
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raw_torus.ply |
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application/octet-stream |
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reference.ply |
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application/octet-stream |
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VertexPositions.npy |
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application/octet-stream |
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VertexPositions_0.npy |
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application/octet-stream |
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VertexPositions_1.npy |
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application/octet-stream |
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VertexPositions_2.npy |
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application/octet-stream |
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Factors.png |
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image/png |