Metrics for Deep Generative Models

التفاصيل البيبلوغرافية
العنوان: Metrics for Deep Generative Models
المؤلفون: Chen, Nutan, Klushyn, Alexej, Kurle, Richard, Jiang, Xueyan, Bayer, Justin, van der Smagt, Patrick
المصدر: The 21st International Conference on Artificial Intelligence and Statistics, 2018
سنة النشر: 2017
المجموعة: Computer Science
Statistics
مصطلحات موضوعية: Statistics - Machine Learning, Computer Science - Learning
الوصف: Neural samplers such as variational autoencoders (VAEs) or generative adversarial networks (GANs) approximate distributions by transforming samples from a simple random source---the latent space---to samples from a more complex distribution represented by a dataset. While the manifold hypothesis implies that the density induced by a dataset contains large regions of low density, the training criterions of VAEs and GANs will make the latent space densely covered. Consequently points that are separated by low-density regions in observation space will be pushed together in latent space, making stationary distances poor proxies for similarity. We transfer ideas from Riemannian geometry to this setting, letting the distance between two points be the shortest path on a Riemannian manifold induced by the transformation. The method yields a principled distance measure, provides a tool for visual inspection of deep generative models, and an alternative to linear interpolation in latent space. In addition, it can be applied for robot movement generalization using previously learned skills. The method is evaluated on a synthetic dataset with known ground truth; on a simulated robot arm dataset; on human motion capture data; and on a generative model of handwritten digits.
Comment: Published on the 21st International Conference on Artificial Intelligence and Statistics (AISTATS), 2018
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/1711.01204
رقم الأكسشن: edsarx.1711.01204
قاعدة البيانات: arXiv