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08/16/2021
Robust Hierarchical Clustering for Directed Networks: An Axiomatic Approach
We provide a complete taxonomic characterization of robust hierarchical ...
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01/14/2021
Topological Deep Learning
This work introduces the Topological CNN (TCNN), which encompasses sever...
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06/22/2020
The space of sections of a smooth function
Given a compact manifold X with boundary and a submersion f : X → Y whos...
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11/25/2019
Persistent and Zigzag Homology: A Matrix Factorization Viewpoint
Over the past two decades, topological data analysis has emerged as a yo...
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05/29/2019
A Topology Layer for Machine Learning
Topology applied to real world data using persistent homology has starte...
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05/10/2019
Persistent homology of the sum metric
Given finite metric spaces (X, d_X) and (Y, d_Y), we investigate the per...
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11/02/2018
Topological Approaches to Deep Learning
We perform topological data analysis on the internal states of convoluti...
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10/08/2018
A look at the topology of convolutional neural networks
Convolutional neural networks (CNN's) are powerful and widely used tools...
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02/09/2018
Fibres of Failure: Classifying errors in predictive processes
We describe Fibres of Failure (FiFa), a method to classify failure modes...
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07/21/2016
Admissible Hierarchical Clustering Methods and Algorithms for Asymmetric Networks
This paper characterizes hierarchical clustering methods that abide by t...
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07/21/2016
Hierarchical Clustering of Asymmetric Networks
This paper considers networks where relationships between nodes are repr...
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04/17/2014
Hierarchical Quasi-Clustering Methods for Asymmetric Networks
This paper introduces hierarchical quasi-clustering methods, a generaliz...
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01/31/2013
Axiomatic Construction of Hierarchical Clustering in Asymmetric Networks
This paper considers networks where relationships between nodes are repr...
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10/02/2012
Classification of Hepatic Lesions using the Matching Metric
In this paper we present a methodology of classifying hepatic (liver) le...
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11/24/2010
Classifying Clustering Schemes
Many clustering schemes are defined by optimizing an objective function ...
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08/16/2008