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Flow Matching in Latent Space (2307.08698v1)

Published 17 Jul 2023 in cs.CV and cs.LG

Abstract: Flow matching is a recent framework to train generative models that exhibits impressive empirical performance while being relatively easier to train compared with diffusion-based models. Despite its advantageous properties, prior methods still face the challenges of expensive computing and a large number of function evaluations of off-the-shelf solvers in the pixel space. Furthermore, although latent-based generative methods have shown great success in recent years, this particular model type remains underexplored in this area. In this work, we propose to apply flow matching in the latent spaces of pretrained autoencoders, which offers improved computational efficiency and scalability for high-resolution image synthesis. This enables flow-matching training on constrained computational resources while maintaining their quality and flexibility. Additionally, our work stands as a pioneering contribution in the integration of various conditions into flow matching for conditional generation tasks, including label-conditioned image generation, image inpainting, and semantic-to-image generation. Through extensive experiments, our approach demonstrates its effectiveness in both quantitative and qualitative results on various datasets, such as CelebA-HQ, FFHQ, LSUN Church & Bedroom, and ImageNet. We also provide a theoretical control of the Wasserstein-2 distance between the reconstructed latent flow distribution and true data distribution, showing it is upper-bounded by the latent flow matching objective. Our code will be available at https://github.com/VinAIResearch/LFM.git.

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Authors (4)
  1. Quan Dao (8 papers)
  2. Hao Phung (6 papers)
  3. Binh Nguyen (21 papers)
  4. Anh Tran (68 papers)
Citations (36)

Summary

  • The paper introduces a novel latent space flow matching technique that leverages pretrained autoencoders for faster, scalable image synthesis.
  • The paper extends its method to conditional generation using classifier-free guidance for tasks like inpainting and semantic translation.
  • The paper provides theoretical guarantees on the Wasserstein-2 distance and empirical validation on benchmarks like CelebA-HQ, FFHQ, and ImageNet.

Summary of "Flow Matching in Latent Space"

This paper presents a novel approach in generative modeling, taking advantage of the flow matching framework within latent spaces. Traditionally, generative models, such as Generative Adversarial Networks (GANs) and diffusion models, have concentrated primarily on either the pixel or feature space to generate high-quality images. Despite their respective strengths, these methods often encounter computational inefficiencies—GANs with stability and mode collapse issues, and diffusion models with slower training times due to their requirement for extensive sampling iterations.

Methodological Contributions

Latent Space Flow Matching

The key contribution of this paper is the adaptation of flow matching to the latent space of pretrained autoencoders. Flow matching as a framework has shown promising results in terms of sampling speed and training simplicity, offering certain advantages over diffusion processes. In the context of latent spaces, this adaptation offers notable improvements in computational efficiency when generating high-resolution images. By leveraging pretrained autoencoders, the authors effectively bypass the intensive computations typically required in pixel-based generative models, enhancing scalability without compromising image quality or flexibility.

Conditional Generation

Additionally, the paper extends the flow matching paradigm to handle conditional generation tasks. It introduces a novel technique named "classifier-free guidance for velocity field," enabling the incorporation of various conditions into the flow matching model. This approach is explored in scenarios such as label-conditioning, inpainting, and semantic-to-image translation, demonstrating substantial versatility and performance gains. This integration of conditional inputs into flow matching also includes an innovative mechanism to apply classifier-free guidance within the sampling process, further enriching the generative capabilities.

Theoretical Insights

An important theoretical contribution is the control over the Wasserstein-2 distance between the latent flow distribution reconstruction and the true data distribution. The paper establishes an upper bound for this metric mediated through the flow matching objective. This reinforces the model's reliability in maintaining distributional fidelity, a crucial aspect of measuring how precisely generative models emulate target datasets.

Experimental Evaluation

Empirically, the framework's efficacy is validated across numerous datasets such as CelebA-HQ, FFHQ, LSUN Church, Bedroom, and ImageNet, all widely recognized benchmarks for evaluating image generation models. The extensive experiments demonstrate that the proposed method not only narrows the performance gap with state-of-the-art diffusion methods but also exhibits superiority in some evaluation metrics, like Fréchet Inception Distance (FID), and computational speed. The authors include both qualitative assessments and quantitative metrics to reinforce their claims, showcasing the model's ability to generate visually coherent, high-resolution images efficiently.

Implications and Future Work

The implications of this work are multifold. Practically, it presents a more computationally feasible solution for high-resolution image synthesis, which can be particularly beneficial in environments with constrained computational resources. Theoretically, it inspires further research into bridging advancements in both flow and diffusion-based models, potentially fostering new hybrid solutions tailored for specific application needs.

Looking forward, the adoption of flow matching in latent spaces could expand into more diverse AI applications beyond synthesis, such as medical imaging, real-time simulation, and large-scale virtual environments. Moreover, the theoretical foundation warrants further exploration into optimizing autoencoder architectures to enhance model precision and generalizability across varied data types.

In summary, this paper makes significant strides in the field of high-resolution image synthesis by marrying flow matching techniques with the efficiency of latent representations, proposing a robust framework that aligns well with the growing demands for scalable and diverse generative models.

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