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Research map / Learning theory and algorithms / Kernels and regression theory

Contrastive Learning Can Find An Optimal Basis For Approximately View-Invariant Functions

ICLR 2023 · Learning theory and algorithms › Kernels and regression theory · approach: RKHS kernel methods · 1 citations (OpenAlex)

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Measured effects reported in the paper

What was changedWhereMeasuredEffect
Apply Kernel PCA to a learned positive-pair kernelContrastive learning models · Overlapping regions and MNIST synthetic taskseigenfunction alignmentHelped
Use different kernel parameterizations, including linear and hypersphere kernelsContrastive learning models · Overlapping regions and MNIST synthetic taskseigenfunction alignmentNo clear effect
Use different contrastive losses, including XEnt and spectral lossHypersphere-based models · Overlapping regionseigenfunction alignmentNo clear effect
Constrain the kernel approximation, such as reducing output dimension, fixing the linear-head norm, or fixing the hypersphere bias to zero (ablation)Contrastive learning models · Overlapping regions and MNIST synthetic taskseigenfunction alignmentHurt
Constrain the kernel approximation, such as reducing output dimension, fixing the linear-head norm, or fixing the hypersphere bias to zero (ablation)Contrastive learning models · Overlapping regions and MNIST synthetic taskseigenvalue estimation accuracyHurt
Decrease augmentation strength by increasing the number of kept pixels (ablation)MNIST synthetic task · MNIST synthetic tasknumber of recovered eigenfunctionsHurt

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