arXiv Machine Learning By Felix N\"utzel, Mischa Dombrowski, Luca Hagen, Bernhard Kainz

Semantic Latent Alignment for Flow Matching with Invertible Bi-Lipschitz Adapters

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The paper proposes a method for adapting pretrained latent spaces without retraining the encoder or decoder by inserting an invertible bi‑Lipschitz adapter that aligns the latent coordinates to a semantic teacher. This offline alignment preserves the compression and reconstruction properties of the original autoencoder while improving semantic organization. Experiments on two medical imaging datasets show that constrained adaptation enhances feature metrics, seed stability, and counterfactual edit strength, and remains competitive on downstream classification tasks.

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