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On grids in topological graphs
Published 2017“…A topological graph G is a graph drawn in the plane with vertices represented by points and edges represented by continuous arcs connecting the vertices. …”
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Topological obstructions to autoencoding
Published 2021“…Using a series of illustrative low-dimensional examples, we show explicitly how the intrinsic and extrinsic topology of the dataset affects the behavior of an autoencoder and how this topology is manifested in the latent space representation during training. …”
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Topological subsystem codes
Published 2010“…We introduce a family of two-dimensional (2D) topological subsystem quantum error-correcting codes. …”
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Boundaries and Topological Algorithms
Published 2004“…This thesis develops a model for the topological structure of situations. In this model, the topological structure of space is altered by the presence or absence of boundaries, such as those at the edges of objects. …”
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