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- W4310363775 abstract "We propose a forward-only multi-layer encoding-decoding framework based on the principle of Maximal Coding Rate Reduction (MCR$^2$), an information-theoretic metric that measures a statistical distance between two sets of feature vectors up to the second moment. The encoder directly transforms data vectors themselves via gradient ascent to maximize the MCR$^2$ distance between different classes in the feature space, resulting in class-wise mutually orthogonal subspace representations. The decoder follows a process symmetric to the encoder, and transforms the subspace feature vectors via gradient descent to minimize the MCR$^2$ distance between the reconstructed data and the original data. We show that the encoder transforms data to linear discriminative representations without breaking the higher-order manifolds, and the decoder reconstructs the data with high fidelity." @default.
- W4310363775 created "2022-12-09" @default.
- W4310363775 creator A5072826353 @default.
- W4310363775 date "2022-11-29" @default.
- W4310363775 modified "2023-09-29" @default.
- W4310363775 title "Symmetric Encoding-decoding Framework without Backpropagation" @default.
- W4310363775 doi "https://doi.org/10.20944/preprints202211.0537.v1" @default.
- W4310363775 hasPublicationYear "2022" @default.
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