This paper is published in Volume-7, Issue-3, 2021
Area
Deep Learning
Author
Kavin Kumar D., Vinuraj Koliyat, Ramasamy Seenivasagan, Sudarshan Subbaiyan, Sounder Matheshwaran
Org/Univ
Lakeba IT Solutions, Coimbatore, Tamil Nadu, India
Keywords
Convolutional Neural Networks (CNN), Topological Data Analysis (TDA), Persistent Homology, Persistent Representations
Citations
IEEE
Kavin Kumar D., Vinuraj Koliyat, Ramasamy Seenivasagan, Sudarshan Subbaiyan, Sounder Matheshwaran. TDA layer: Impact of persistent homology on the performance of Convolutional Neural Networks, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.
APA
Kavin Kumar D., Vinuraj Koliyat, Ramasamy Seenivasagan, Sudarshan Subbaiyan, Sounder Matheshwaran (2021). TDA layer: Impact of persistent homology on the performance of Convolutional Neural Networks. International Journal of Advance Research, Ideas and Innovations in Technology, 7(3) www.IJARIIT.com.
MLA
Kavin Kumar D., Vinuraj Koliyat, Ramasamy Seenivasagan, Sudarshan Subbaiyan, Sounder Matheshwaran. "TDA layer: Impact of persistent homology on the performance of Convolutional Neural Networks." International Journal of Advance Research, Ideas and Innovations in Technology 7.3 (2021). www.IJARIIT.com.
Kavin Kumar D., Vinuraj Koliyat, Ramasamy Seenivasagan, Sudarshan Subbaiyan, Sounder Matheshwaran. TDA layer: Impact of persistent homology on the performance of Convolutional Neural Networks, International Journal of Advance Research, Ideas and Innovations in Technology, www.IJARIIT.com.
APA
Kavin Kumar D., Vinuraj Koliyat, Ramasamy Seenivasagan, Sudarshan Subbaiyan, Sounder Matheshwaran (2021). TDA layer: Impact of persistent homology on the performance of Convolutional Neural Networks. International Journal of Advance Research, Ideas and Innovations in Technology, 7(3) www.IJARIIT.com.
MLA
Kavin Kumar D., Vinuraj Koliyat, Ramasamy Seenivasagan, Sudarshan Subbaiyan, Sounder Matheshwaran. "TDA layer: Impact of persistent homology on the performance of Convolutional Neural Networks." International Journal of Advance Research, Ideas and Innovations in Technology 7.3 (2021). www.IJARIIT.com.
Abstract
In this work, we introduce the topological data analysis layer that estimates persistent homology on attributes extracted from convolutional layers for image classification. This method shows that topological information can be utilized to upgrade network performance. This work focuses on applying persistent images on the deep convolutional layer to learn topological features and also exploring the behavior of topological data analysis on various convolutional neural network architectures like sequential architecture and extended width architecture. Based on our empirical analysis, we exhibit the significance of topological data analysis on convolutional neural networks by attaining reliable scores on classification tasks on benchmark datasets.