TY - JOUR
A2 - Chen, Songcan
AU - Pearson, Paul T.
PY - 2013
DA - 2013/06/20
TI - Visualizing Clusters in Artificial Neural Networks Using Morse Theory
SP - 486363
VL - 2013
AB - This paper develops a process whereby a high-dimensional clustering problem is solved using a neural network and a low-dimensional cluster diagram of the results is produced using the Mapper method from topological data analysis. The low-dimensional cluster diagram makes the neural network's solution to the high-dimensional clustering problem easy to visualize, interpret, and understand. As a case study, a clustering problem from a diabetes study is solved using a neural network. The clusters in this neural network are visualized using the Mapper method during several stages of the iterative process used to construct the neural network. The neural network and Mapper clustering diagram results for the diabetes study are validated by comparison to principal component analysis.
SN - 1687-7594
UR - https://doi.org/10.1155/2013/486363
DO - 10.1155/2013/486363
JF - Advances in Artificial Neural Systems
PB - Hindawi Publishing Corporation
KW -
ER -