DP-NGD enables second-order optimization under differential privacy by decoupling curvature estimation onto public data, performing isotropic DP operations in a whitened space, and dynamically clamping curvature eigenvalues to prevent instability.
On the universality of neural encodings in CNNs
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abstract
We explore the universality of neural encodings in convolutional neural networks trained on image classification tasks. We develop a procedure to directly compare the learned weights rather than their representations. It is based on a factorization of spatial and channel dimensions and measures the similarity of aligned weight covariances. We show that, for a range of layers of VGG-type networks, the learned eigenvectors appear to be universal across different natural image datasets. Our results suggest the existence of a universal neural encoding for natural images. They explain, at a more fundamental level, the success of transfer learning. Our work shows that, instead of aiming at maximizing the performance of neural networks, one can alternatively attempt to maximize the universality of the learned encoding, in order to build a principled foundation model.
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cs.LG 1years
2026 1verdicts
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Differentially Private Natural Gradient Descent
DP-NGD enables second-order optimization under differential privacy by decoupling curvature estimation onto public data, performing isotropic DP operations in a whitened space, and dynamically clamping curvature eigenvalues to prevent instability.