1 code implementation • 12 Sep 2023 • Enrique Alvarado, Robin Belton, Emily Fischer, Kang-Ju Lee, Sourabh Palande, Sarah Percival, Emilie Purvine
The Mapper algorithm is a visualization technique in topological data analysis (TDA) that outputs a graph reflecting the structure of a given dataset.
no code implementations • 8 Jan 2021 • Mingzhe Li, Sourabh Palande, Lin Yan, Bei Wang
That is, given a large set T of merge trees, we would like to find a much smaller basis set S such that each tree in T can be approximately reconstructed from a linear combination of merge trees in S. A set of high-dimensional vectors can be sketched via matrix sketching techniques such as principal component analysis and column subset selection.
1 code implementation • 13 Dec 2019 • Archit Rathore, Nithin Chalapathi, Sourabh Palande, Bei Wang
To understand how such performance is achieved, we probe a trained deep neural network by studying neuron activations, i. e., combinations of neuron firings, at various layers of the network in response to a particular input.