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Boundary-Seeking Generative Adversarial Networks (1702.08431v4)

Published 27 Feb 2017 in stat.ML and cs.LG

Abstract: Generative adversarial networks (GANs) are a learning framework that rely on training a discriminator to estimate a measure of difference between a target and generated distributions. GANs, as normally formulated, rely on the generated samples being completely differentiable w.r.t. the generative parameters, and thus do not work for discrete data. We introduce a method for training GANs with discrete data that uses the estimated difference measure from the discriminator to compute importance weights for generated samples, thus providing a policy gradient for training the generator. The importance weights have a strong connection to the decision boundary of the discriminator, and we call our method boundary-seeking GANs (BGANs). We demonstrate the effectiveness of the proposed algorithm with discrete image and character-based natural language generation. In addition, the boundary-seeking objective extends to continuous data, which can be used to improve stability of training, and we demonstrate this on Celeba, Large-scale Scene Understanding (LSUN) bedrooms, and Imagenet without conditioning.

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Authors (6)
  1. R Devon Hjelm (32 papers)
  2. Athul Paul Jacob (11 papers)
  3. Tong Che (26 papers)
  4. Adam Trischler (50 papers)
  5. Kyunghyun Cho (292 papers)
  6. Yoshua Bengio (601 papers)
Citations (165)

Summary

Boundary-Seeking Generative Adversarial Networks: A Technical Overview

The paper "Boundary-Seeking Generative Adversarial Networks" introduces a novel methodology aimed at enhancing the flexibility and robustness of Generative Adversarial Networks (GANs) in dealing with discrete data. Traditional GANs, as devised by Goodfellow et al., perform well for continuous data but face challenges with discrete data due to the non-differentiable nature of discrete operations, which impedes effective back-propagation of the training signal. The authors propose Boundary-Seeking GANs (BGANs), a framework designed to bridge this gap by utilizing discriminators to derive policy gradients through importance weights, facilitating smooth training of generators with discrete data.

Key Contributions and Methodology

  1. BGAN Framework: The paper presents a theoretical foundation for BGANs, wherein discriminators estimate an ff-divergence, which is a measure of the difference between target and generated distributions. The resulting importance weights function as policy gradients that guide the training of discrete data generators without requiring differentiability. This method extends to continuous data, noting improvements in training stability.
  2. Quantitative Validation: The effectiveness of BGANs was demonstrated on various benchmarks. BGANs showcase their proficiency on discrete image tasks using binary MNIST and quantized CelebA datasets, as well as in character-based natural language generation with the 1-billion word dataset. The authors' experiments highlight the capacity of BGANs to overcome limitations of traditional GAN approaches when handling discrete data.
  3. Comparison with WGAN-GP: BGANs were compared against Wasserstein GANs with Gradient Penalty (WGAN-GP) in the discrete setting. BGAN appeared to provide superior results in classification tasks on CIFAR-10 by effectively minimizing divergence measures, retaining high stability without requiring exhaustive optimization cycles typically needed in WGAN approaches.
  4. Stability in Continuous Setting: Addressing known stability issues in GAN training, the authors show that the boundary-seeking objective improves convergence properties even in continuous domains by adjusting the generator's learning objective to a convex problem. This adjustment has potential implications for reducing mode collapse and enhancing the robustness of GANs across various datasets.

Implications and Future Directions

The introduction of BGANs addresses a significant limitation in the general applicability of GANs by enabling effective training with discrete data. This advancement opens up new possibilities for applications that rely on discrete inputs, such as text generation and certain types of image processing tasks. Moreover, the stability improvements could have significant implications for the practical deployment of GANs in high-stakes environments and contribute to the convergence of GAN theory with other robust statistical methods.

In terms of future developments, the boundary-seeking framework could be extended to integrate seamlessly with reinforcement learning paradigms, further improving policy exploration in discrete action spaces. Additionally, while the authors provide experimental validation, further exploration into the theoretical guarantees across broader classes of discriminators could solidify the foundational underpinnings of BGANs. The multidimensional scalability of these models remains a promising area for subsequent research exploration, particularly in domains demanding the synthesis of high-dimensional discrete datasets.

In conclusion, the proposed boundary-seeking approach offers a promising avenue towards versatile GAN architectures capable of handling a wider variety of data types, underscoring the potential for enhanced synthetic data generation techniques in artificial intelligence.