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An Online Riemannian PCA for Stochastic Canonical Correlation Analysis

NeurIPS 2021 · Learning theory and algorithms › Matrix and tensor methods · approach: Nonconvex low-rank and sparse optimization · 4 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use RSG+ instead of MSG for streaming top-k CCACCA · MNIST, Mediamill, and CIFAR-10PCCHelped
Use RSG+ instead of MSG when the leading covariance eigenvalue dominates and k > 1CCA · Mediamill, k=2 and k=4PCCHurt
Train with RSG+ rather than batch DeepCCADeepCCA feature learning · Noisy MNIST, d=100Accuracy(%): 80.57 -> 79.79Hurt
Use RSG+ to train DeepCCA features at d=500 and d=1000DeepCCA feature learning · Noisy MNIST, d=500 and d=1000Accuracy(%)Helped
Add CCA loss at conv0CelebA attractiveness classifier · CelebADEO(%): 22.3 -> 17.4Helped
Add CCA loss at conv0CelebA attractiveness classifier · CelebADDP(%): 4.8 -> 1.4Helped
Add CCA loss at conv1CelebA attractiveness classifier · CelebADEO(%): 22.3 -> 15.3Helped
Add CCA loss at conv1CelebA attractiveness classifier · CelebAAccuracy(%): 76.3 -> 77.7Helped
Add CCA loss at conv2CelebA attractiveness classifier · CelebADEO(%): 22.3 -> 22.0No clear effect
Add CCA loss at conv2CelebA attractiveness classifier · CelebADDP(%): 4.8 -> 2.8Helped
Apply CCA loss to stacked features from different layersCelebA attractiveness classifier · CelebADEO(%): 22.3 -> 22.1No clear effect
Apply CCA loss to stacked features from different layersCelebA attractiveness classifier · CelebADDP(%): 4.8 -> 3.9Helped

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