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arXiv 2202.03008stat.MLcs.LG
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变老的算法:生成式深度神经网络的案例

Algorithms that get old : the case of generative deep neural networks

CEREMADE(CEREMADE(巴黎多芬大学数学与决策研究中心));Université Paris Dauphine - PSL(巴黎多芬大学-PSL);CNRS(法国国家科学研究中心)

Gabriel Turinici

摘要:

机器学习中使用的生成式深度神经网络,如变分自动编码器(VAE)和生成式对抗网络(GANs),每次被要求这样做时都会产生新对象,约束条件是新对象与作为输入的一些示例列表保持相似。然而,这种行为与人类艺术家的行为不同,人类艺术家会随着时间的推移改变他们的风格,很少回到最初的创作风格。我们调查的情况下,VAE是用来从一些经验数据集描述的概率测度的样本。基于最近的工作Radon-Sobolev统计距离,我们提出了一个数值范例,与生成算法结合使用,满足以下两个要求:创建的对象不重复和发展,以填补整个目标概率分布。

英文摘要:

Generative deep neural networks used in machine learning, like the Variational Auto-Encoders (VAE), and Generative Adversarial Networks (GANs) produce new objects each time when asked to do so with the constraint that the new objects remain similar to some list of examples given as input. However, this behavior is unlike that of human artists that change their style as time goes by and seldom return to the style of the initial creations. We investigate a situation where VAEs are used to sample from a probability measure described by some empirical dataset. Based on recent works on Radon-Sobolev statistical distances, we propose a numerical paradigm, to be used in conjunction with a generative algorithm, that satisfies the two following requirements: the objects created do not repeat and evolve to fill the entire target probability distribution.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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