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Despite their success and popularity, deep neural networks (DNNs) are vulnerable when facing backdoor attacks.
Topological persistence and simplification
Herbert Edelsbrunner, David Letscher, and Afra Zomorodian · 2000
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Computational topology: an introduction
Herbert Edelsbrunner and John Harer · 2010
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Chao Chen and Michael Kerber · 2011
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Alex Krizhevsky, Ilya Sutskever, and Geoffrey E Hinton · 2012
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Efficient computation of persistent homology for cubical data
Hubert Wagner, Chao Chen, and Erald Vuçini · 2012
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Persistence-based clustering in riemannian manifolds
Frédéric Chazal, Leonidas J Guibas, Steve Y Oudot, and Primoz Skraba · 2013
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Ross Girshick, Jeff Donahue, Trevor Darrell, and Jitendra Malik · 2014
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Adam: A method for stochastic optimization
Diederik P Kingma and Jimmy Ba · 2014
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Statistical topological data analysis using persistence landscapes
Peter Bubenik · 2015
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Statistical topological data analysis-a kernel perspective
Roland Kwitt, Stefan Huber, Marc Niethammer, Weili Lin, and Ulrich Bauer · 2015
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Jonathan Long, Evan Shelhamer, and Trevor Darrell · 2015
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Persistent topology of decision boundaries
Kush R Varshney and Karthikeyan Natesan Ramamurthy · 2015
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Kernel partial least squares regression for relating functional brain network topology to clinical measures of behavior
Eleanor Wong, Sourabh Palande, Bei Wang, Brandon Zielinski, Jeffrey Anderson, and P Thomas Fletcher · 2016
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Persistence images: A stable vector representation of persistent homology
Henry Adams, Tegan Emerson, Michael Kirby, Rachel Neville, Chris Peterson, Patrick Shipman, Sofya Chepushtanova, Eric Hanson, Francis Motta, and Lori Ziegelmeier · 2017
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Yuntao Liu, Yang Xie, and Ankur Srivastava · 2017
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Optimal topological cycles and their application in cardiac trabeculae restoration
Pengxiang Wu, Chao Chen, Yusu Wang, Shaoting Zhang, Changhe Yuan, Zhen Qian, Dimitris Metaxas, and Leon Axel · 2017
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Spectral signatures in backdoor attacks
Brandon Tran, Jerry Li, and Aleksander Madry · 2018
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Strip: A defence against trojan attacks on deep neural networks
Yansong Gao, Change Xu, Derui Wang, Shiping Chen, Damith C Ranasinghe, and Surya Nepal · 2019
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Tabor: A highly accurate approach to inspecting and restoring trojan backdoors in ai systems
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James Clough, Nicholas Byrne, Ilkay Oksuz, Veronika A Zimmer, Julia A Schnabel, and Andrew King · 2020
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Graph filtration learning
Christoph Hofer, Florian Graf, Bastian Rieck, Marc Niethammer, and Roland Kwitt · 2020
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Universal litmus patterns: Revealing backdoor attacks in cnns
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Detecting trojaned dnns using counterfactual attributions
Karan Sikka, Indranil Sur, Susmit Jha, Anirban Roy, and Ajay Divakaran · 2020
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Poisoned classifiers are not only backdoored, they are fundamentally broken
Mingjie Sun, Siddhant Agarwal, and J Zico Kolter · 2020
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Fast is better than free: Revisiting adversarial training
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Persistence enhanced graph neural network
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Localization in the crowd with topological constraints
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