LGCVITNEOct 10, 2025

Decomposer Networks: Deep Component Analysis and Synthesis

arXiv:2510.09825v1
Originality Incremental advance
AI Analysis

This provides a novel approach for interpretable representation learning in machine learning, though it appears incremental relative to existing object-centric architectures.

The authors tackled the problem of creating interpretable component representations by proposing Decomposer Networks (DecompNet), a semantic autoencoder that factorizes inputs into multiple components using a residual update rule, achieving parsimonious and semantically meaningful representations.

We propose the Decomposer Networks (DecompNet), a semantic autoencoder that factorizes an input into multiple interpretable components. Unlike classical autoencoders that compress an input into a single latent representation, the Decomposer Network maintains N parallel branches, each assigned a residual input defined as the original signal minus the reconstructions of all other branches. By unrolling a Gauss--Seidel style block-coordinate descent into a differentiable network, DecompNet enforce explicit competition among components, yielding parsimonious, semantically meaningful representations. We situate our model relative to linear decomposition methods (PCA, NMF), deep unrolled optimization, and object-centric architectures (MONet, IODINE, Slot Attention), and highlight its novelty as the first semantic autoencoder to implement an all-but-one residual update rule.

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