CKGAN: Training Generative Adversarial Networks Using Characteristic Kernel Integral Probability Metrics

Fuente: arXiv
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Autores principales: Zhang, Kuntian, Yu, Simin, Wang, Yaoshu, Onizuka, Makoto, Xiao, Chuan
Formato: Preprint
Publicado: 2025
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author Zhang, Kuntian
Yu, Simin
Wang, Yaoshu
Onizuka, Makoto
Xiao, Chuan
author_facet Zhang, Kuntian
Yu, Simin
Wang, Yaoshu
Onizuka, Makoto
Xiao, Chuan
contents In this paper, we propose CKGAN, a novel generative adversarial network (GAN) variant based on an integral probability metrics framework with characteristic kernel (CKIPM). CKIPM, as a distance between two probability distributions, is designed to optimize the lowerbound of the maximum mean discrepancy (MMD) in a reproducing kernel Hilbert space, and thus can be used to train GANs. CKGAN mitigates the notorious problem of mode collapse by mapping the generated images back to random noise. To save the effort of selecting the kernel function manually, we propose a soft selection method to automatically learn a characteristic kernel function. The experimental evaluation conducted on a set of synthetic and real image benchmarks (MNIST, CelebA, etc.) demonstrates that CKGAN generally outperforms other MMD-based GANs. The results also show that at the cost of moderately more training time, the automatically selected kernel function delivers very close performance to the best of manually fine-tuned one on real image benchmarks and is able to improve the performances of other MMD-based GANs.
format Preprint
id arxiv_https___arxiv_org_abs_2504_05945
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle CKGAN: Training Generative Adversarial Networks Using Characteristic Kernel Integral Probability Metrics
Zhang, Kuntian
Yu, Simin
Wang, Yaoshu
Onizuka, Makoto
Xiao, Chuan
Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
In this paper, we propose CKGAN, a novel generative adversarial network (GAN) variant based on an integral probability metrics framework with characteristic kernel (CKIPM). CKIPM, as a distance between two probability distributions, is designed to optimize the lowerbound of the maximum mean discrepancy (MMD) in a reproducing kernel Hilbert space, and thus can be used to train GANs. CKGAN mitigates the notorious problem of mode collapse by mapping the generated images back to random noise. To save the effort of selecting the kernel function manually, we propose a soft selection method to automatically learn a characteristic kernel function. The experimental evaluation conducted on a set of synthetic and real image benchmarks (MNIST, CelebA, etc.) demonstrates that CKGAN generally outperforms other MMD-based GANs. The results also show that at the cost of moderately more training time, the automatically selected kernel function delivers very close performance to the best of manually fine-tuned one on real image benchmarks and is able to improve the performances of other MMD-based GANs.
title CKGAN: Training Generative Adversarial Networks Using Characteristic Kernel Integral Probability Metrics
topic Machine Learning
Artificial Intelligence
Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2504.05945