Generate in Reconstruction Space, Match in Semantic Space: Transport Geometry for One-Step Generation

Fuente: arXiv
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Autores principales: Van Assel, Hugues, De Brouwer, Edward, Saremi, Saeed, Scalia, Gabriele, Regev, Aviv
Formato: Preprint
Publicado: 2026
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author Van Assel, Hugues
De Brouwer, Edward
Saremi, Saeed
Scalia, Gabriele
Regev, Aviv
author_facet Van Assel, Hugues
De Brouwer, Edward
Saremi, Saeed
Scalia, Gabriele
Regev, Aviv
contents Generative modeling and self-supervised representation learning (SSL) optimize structurally different objectives: generative training rewards distributional fidelity, while SSL rewards semantic coherence. Yet recent work repeatedly finds that SSL features improve generative training, though the mechanism of this synergy remains unclear. Here, we study the benefits of SSL in generative modeling in the framework of one-step generation where the role of representation is explicit: frozen SSL features are used to match generated samples to real data. We use the Sinkhorn divergence in that feature space, providing a tractable surrogate for the Wasserstein distance, the population-level discrepancy approximated by Fréchet-style evaluation metrics (such as FID). We find that this objective becomes highly effective when computed in a semantically structured SSL feature space (a 39$\times$ reduction in ImageNet FID). We trace this behavior primarily to matching estimation: semantic SSL features that suppress nuisance reconstruction details induce a more compact geometry, making distribution matching more tractable. As a consequence, the best training SSL features need not match the features used by the evaluation metric. In particular, we show that using Inception as the feature extractor can improve FID while degrading matching stability and sample quality, revealing a form of metric hacking. Using extensive experiments on ImageNet, we identify which SSL feature families lead to best generation performance and show that matching stability is a quantitative criterion for selecting them. Code is available at https://github.com/Genentech/semantic-transport-generation.
format Preprint
id arxiv_https___arxiv_org_abs_2606_00514
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Generate in Reconstruction Space, Match in Semantic Space: Transport Geometry for One-Step Generation
Van Assel, Hugues
De Brouwer, Edward
Saremi, Saeed
Scalia, Gabriele
Regev, Aviv
Machine Learning
Computer Vision and Pattern Recognition
Generative modeling and self-supervised representation learning (SSL) optimize structurally different objectives: generative training rewards distributional fidelity, while SSL rewards semantic coherence. Yet recent work repeatedly finds that SSL features improve generative training, though the mechanism of this synergy remains unclear. Here, we study the benefits of SSL in generative modeling in the framework of one-step generation where the role of representation is explicit: frozen SSL features are used to match generated samples to real data. We use the Sinkhorn divergence in that feature space, providing a tractable surrogate for the Wasserstein distance, the population-level discrepancy approximated by Fréchet-style evaluation metrics (such as FID). We find that this objective becomes highly effective when computed in a semantically structured SSL feature space (a 39$\times$ reduction in ImageNet FID). We trace this behavior primarily to matching estimation: semantic SSL features that suppress nuisance reconstruction details induce a more compact geometry, making distribution matching more tractable. As a consequence, the best training SSL features need not match the features used by the evaluation metric. In particular, we show that using Inception as the feature extractor can improve FID while degrading matching stability and sample quality, revealing a form of metric hacking. Using extensive experiments on ImageNet, we identify which SSL feature families lead to best generation performance and show that matching stability is a quantitative criterion for selecting them. Code is available at https://github.com/Genentech/semantic-transport-generation.
title Generate in Reconstruction Space, Match in Semantic Space: Transport Geometry for One-Step Generation
topic Machine Learning
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2606.00514