Ziwei Liu, Ping Luo, Xiaogang Wang, and Xiaou Tang. Deep Learning Face Attributes in the Wild. In 2015 IEEE International Conference on Computer Vision (ICCV), pages 3730-3738, 2015b.
Albert W. Marshall, Ingram Olkin, and Barry C. Arnold. Inequalities: Theory of Majorization and Its Applications. Springer Series in Statistics. Springer New York, 2 edition, 2011.
Ninareh Mehrabi, Fred Morstatter, Nripsuta Saxena, Kristina Lerman, and Aram Galstyan. A Survey on Bias and Fairness in Machine Learning. ACM Computing Surveys, 54(6), jul 2021.
L. Mirsky. A trace inequality of John von Neumann. Monatshefte für Mathematik, 79(4):303-306, Dec 1975.
Ioannis Mitliagkas, Constantine Caramanis, and Prateek Jain. Memory Limited, Streaming PCA. In Advances in Neural Information Processing Systems, volume 26, pages 2886-2894. Curran Associates, Inc., 2013.
Erkki Oja. Simplified neuron model as a principal component analyzer. Journal of Mathematical Biology, 15(3):267-273, Nov 1982.
Erkki Oja and Juha Karhunen. On Stochastic Approximation of the Eigenvectors and Eigenvalues of the Expectation of a Random Matrix. Journal of Mathematical Analysis and Applications, 106: 69-84, 1985.
Matt Olfat and Anil Aswani. Convex Formulations for Fair Principal Component Analysis. In Proceedings of the AAAI Conference on Artificial Intelligence, volume 33, pages 663-670, Jul. 2019.
Adam Paszke, Sam Gross, Soumith Chintala, Gregory Chanan, Edward Yang, Zachary DeVito, Zeming Lin, Alban Desmaison, Luca Antiga, and Adam Lerer. Automatic differentiation in PyTorch. In NIPS 2017 Workshop Autodiff, 2017.
Karl Pearson. Liii. on lines and planes of closest fit to systems of points in space. The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science, 2(11):559-572, 1901.
Jeffrey Pennington, Richard Socher, and Christopher Manning. GloVe: Global Vectors for Word Representation. In Proceedings of the 2014 Conference on Empirical Methods in Natural Language Processing (EMNLP), pages 1532-1543, Doha, Qatar, October 2014. Association for Computational Linguistics.
Andrey Priorov, Kirill Tumanov, Vladimir Volokhov, Evgeny Sergeev, and Ivan Mochalov. Applications of image filtration based on principal component analysis and nonlocal image processing. IAENG International Journal of Computer Science, 40(2):62-80, 2013.
Shauli Ravfogel, Yanai Elazar, Hila Gonen, Michael Twiton, and Yoav Goldberg. Null It Out: Guarding Protected Attributes by Iterative Nullspace Projection. In Proceedings of the 58th Annual Meeting of the Association for Computational Linguistics, pages 7237-7256, Online, July 2020. Association for Computational Linguistics.
Shauli Ravfogel, Michael Twiton, Yoav Goldberg, and Ryan D Cotterell. Linear Adversarial Concept Erasure. In Proceedings of the 39th International Conference on Machine Learning, volume 162 of Proceedings of Machine Learning Research, pages 18400-18421. PMLR, 17-23 Jul 2022a.
Shauli Ravfogel, Francisco Vargas, Yoav Goldberg, and Ryan Cotterell. Adversarial Concept Erasure in Kernel Space. In Proceedings of the 2022 Conference on Empirical Methods in Natural Language Processing, pages 6034-6055, Abu Dhabi, United Arab Emirates, December 2022b. Association for Computational Linguistics.
Yuji Roh, Kangwook Lee, Steven Euijong Whang, and Changho Suh. FairBatch: Batch Selection for Model Fairness. In International Conference on Learning Representations, 2021.
Mark Rudelson and Roman Vershynin. Smallest singular value of a random rectangular matrix. Communications on Pure and Applied Mathematics, 62(12):1707-1739, 2009.