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Your GAN is Secretly an Energy-based Model and You Should use Discriminator Driven Latent Sampling (2003.06060v3)

Published 12 Mar 2020 in cs.LG, cs.AI, and stat.ML

Abstract: We show that the sum of the implicit generator log-density $\log p_g$ of a GAN with the logit score of the discriminator defines an energy function which yields the true data density when the generator is imperfect but the discriminator is optimal, thus making it possible to improve on the typical generator (with implicit density $p_g$). To make that practical, we show that sampling from this modified density can be achieved by sampling in latent space according to an energy-based model induced by the sum of the latent prior log-density and the discriminator output score. This can be achieved by running a Langevin MCMC in latent space and then applying the generator function, which we call Discriminator Driven Latent Sampling~(DDLS). We show that DDLS is highly efficient compared to previous methods which work in the high-dimensional pixel space and can be applied to improve on previously trained GANs of many types. We evaluate DDLS on both synthetic and real-world datasets qualitatively and quantitatively. On CIFAR-10, DDLS substantially improves the Inception Score of an off-the-shelf pre-trained SN-GAN~\citep{sngan} from $8.22$ to $9.09$ which is even comparable to the class-conditional BigGAN~\citep{biggan} model. This achieves a new state-of-the-art in unconditional image synthesis setting without introducing extra parameters or additional training.

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Authors (7)
  1. Tong Che (26 papers)
  2. Ruixiang Zhang (69 papers)
  3. Jascha Sohl-Dickstein (88 papers)
  4. Hugo Larochelle (87 papers)
  5. Liam Paull (47 papers)
  6. Yuan Cao (201 papers)
  7. Yoshua Bengio (601 papers)
Citations (104)

Summary

Insights into "Your GAN is Secretly an Energy-based Model and You Should Use Discriminator Driven Latent Sampling"

The paper "Your GAN is Secretly an Energy-based Model and You Should Use Discriminator Driven Latent Sampling" provides a novel perspective on Generative Adversarial Networks (GANs) by integrating concepts from Energy-Based Models (EBMs). The authors propose an innovative method termed Discriminator Driven Latent Sampling (DDLS) to enhance sample quality generated by GANs.

Theoretical Reinterpretation of GANs

GANs consist of a generator and a discriminator, which compete in an adversarial framework to model data distributions. Traditionally, the generator attempts to mimic the real data distribution, while the discriminator aims to distinguish between real and fake data. This paper challenges the conventional understanding by interpreting GANs through the lens of EBMs. The authors demonstrate that the discriminator’s logit can define an implicit energy function that captures the discrepancy between the generated and real data distributions. This reformulation aligns GANs with EBMs and reveals potential for improving the generation process by sampling in the GAN’s latent space rather than directly in the pixel space.

Discriminator Driven Latent Sampling (DDLS)

DDLS leverages the discriminator’s score to adjust the latent sampling process. The authors propose an energy function derived from the discriminator scores in the latent space. Instead of generating samples directly from the generator distribution, DDLS uses Markov Chain Monte Carlo (MCMC) sampling within the latent space to produce samples from the adjusted distribution. This approach mitigates the challenges of high-dimensionality and non-trivial energy function forms in the pixel space, enhancing both the quality and diversity of the generated samples.

Experimental Evidences

The authors assess DDLS using both synthetic and real-world datasets, including CIFAR-10 and CelebA. Notably, when applied to a pre-trained Spectral Normalization GAN (SN-GAN) on CIFAR-10, DDLS elevates the Inception Score from 8.22 to 9.09, a substantial improvement that approaches the performance of class-conditional GANs such as BigGAN. The application of DDLS does not require further parameter tuning or retraining, emphasizing its practical efficiency.

Implications and Future Directions

From a theoretical standpoint, interpreting GANs as EBMs enriches the understanding of the discriminator’s role beyond adversarial training, positioning the GAN framework within the broader context of probabilistic modeling. Practically, DDLS harnesses the discriminator to directly influence and refine the distribution from which latent samples are drawn, thus rectifying biases inherent in the generator’s output. The method not only establishes a more efficient sampling mechanism but also suggests pathways for tackling mode collapse, a prevalent issue in GAN training.

Potential future explorations could delve into extending DDLS to more complex GAN architectures or integrating the methodology into different generative frameworks like Variational Autoencoders (VAEs). Moreover, further research could explore whether the latent space sampling technique can be optimized further to reduce computational overhead, aligning well with real-time applications.

In summary, the paper offers a valuable contribution to the field by intersecting GANs and EBMs, thus providing both a fresh theoretical insight and a robust method for superior sample generation. Through DDLS, the work addresses long-standing issues associated with GANs and opens new avenues for research in generative modeling.

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