Topology of Learning in Artificial Neural Networks

In search of the real inductive bias: On the role of implicit regularization in deep learning

Original

Behnam Neyshabur, Ryota Tomioka, and Nathan Srebro · 1902

Earlier work this paper cites.

Gradient-based learning applied to document recognition

Y. Lecun, L. Bottou, Y. Bengio, and P. Haffner · 1998

Earlier work this paper cites.

Topological methods for the analysis of high dimensional data sets and 3d object recognition

Gurjeet Singh, Facundo Mémoli, and Gunnar E. Carlsson · 2007

Earlier work this paper cites.

Topology and data

Gunnar Carlsson · 2009

Earlier work this paper cites.

Extracting insights from the shape of complex data using topology

P. Y. Lum, G. Singh, A. Lehman, T. Ishkanov, M. Vejdemo-Johansson, M. Alagappan, J. Carlsson, and G. Carlsson · 2013

Earlier work this paper cites.

Auto-Encoding Variational Bayes

Original

Diederik P Kingma and Max Welling · 2013

Cited alongside, same era.

Deep learning

Yann LeCun, Yoshua Bengio, and Geoffrey Hinton · 2015

Cited alongside, same era.

Understanding deep learning requires rethinking generalization

Original

Chiyuan Zhang, Samy Bengio, Moritz Hardt, Benjamin Recht, and Oriol Vinyals · 2016

Cited alongside, same era.

Deep Learning

Ian Goodfellow, Yoshua Bengio, and Aaron Courville · 2016

Cited alongside, same era.

Generalization in deep learning

Original

Kenji Kawaguchi, Leslie Pack Kaelbling, and Yoshua Bengio · 2017

Cited alongside, same era.

A look at the topology of convolutional neural networks

Original

Rickard Brüel Gabrielsson and Gunnar Carlsson · 2018

Later among the works it cites.

Topological approaches to deep learning

Original

Gunnar Carlsson and Rickard Brüel Gabrielsson · 2018

Later among the works it cites.

Topology of learning in neural networks

Maxime Gabella and Nitya Afambo · 2019

Closest in time.

KeplerMapper

Hendrik Jacob van Veen and Nathaniel Saul · 2019

Closest in time.