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Going beyond persistent homology using persistent homology Johanna Immonen University of Helsinki

Neural Information Processing Systems

Augmenting these graph models with topological features via persistent homology (PH) has gained prominence, but identifying the class of attributed graphs that PH can recognize remains open. We introduce a novel concept of color-separating sets to provide a complete resolution to this important problem.




Sampling weights of deep neural networks Erik Lien Bolager

Neural Information Processing Systems

We introduce a probability distribution, combined with an efficient sampling algorithm, for weights and biases of fully-connected neural networks.