arXiv:2512.02740cs.LGcs.IT2025-12

用干扰信号让自编码器隐空间逼近标准高斯分布。

Adversarial Jamming for Autoencoder Distribution Matching

  • 用对抗性干扰作为辅助目标,正则化隐空间分布。
  • 隐空间后验匹配度接近标准VAE与Wasserstein VAE。
  • 方法可扩展至其他目标分布,适合生成模型研究者。

我们提出利用对抗性无线干扰来正则化自编码器的隐空间,使其匹配对角高斯分布。在最小化均方误差失真的情况下,干扰者试图破坏通过对抗信道传输的高斯源的恢复。现有理论结果表明,该最小最大博弈(包含编码器、解码器和对抗干扰者)的鞍点解为干扰者输出对角高斯噪声。我们以此为灵感,提出一种新方法:利用干扰作为辅助目标,促使聚合隐空间后验匹配对角高斯分布。实验表明,该方法实现的分布匹配效果与标准变分自编码器(VAE)及瓦瑟斯坦自编码器(Wasserstein Autoencoder)相当。该方法还可推广至其他隐空间分布。

原文摘要 · Abstract (English)

We propose the use of adversarial wireless jamming to regularise the latent space of an autoencoder to match a diagonal Gaussian distribution. We consider the minimisation of a mean squared error distortion, where a jammer attempts to disrupt the recovery of a Gaussian source encoded and transmitted over the adversarial channel. A straightforward consequence of existing theoretical results is the fact that the saddle point of a minimax game - involving such an encoder, its corresponding decoder, and an adversarial jammer - consists of diagonal Gaussian noise output by the jammer. We use this result as inspiration for a novel approach to distribution matching in the latent space, utilising jamming as an auxiliary objective to encourage the aggregated latent posterior to match a diagonal Gaussian distribution. Using this new technique, we achieve distribution matching comparable to standard variational autoencoders and to Wasserstein autoencoders. This approach can also be generalised to other latent distributions.

自编码器分布匹配对抗干扰

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