تقرير
Wrapped Distributions on homogeneous Riemannian manifolds
| العنوان: | Wrapped Distributions on homogeneous Riemannian manifolds |
|---|---|
| المؤلفون: | Galaz-Garcia, Fernando, Papamichalis, Marios, Turnbull, Kathryn, Lunagomez, Simon, Airoldi, Edoardo |
| سنة النشر: | 2022 |
| المجموعة: | Computer Science Mathematics Statistics |
| مصطلحات موضوعية: | Mathematics - Statistics Theory, Computer Science - Machine Learning, Statistics - Machine Learning, Statistics - Other Statistics |
| الوصف: | We provide a general framework for constructing probability distributions on Riemannian manifolds, taking advantage of area-preserving maps and isometries. Control over distributions' properties, such as parameters, symmetry and modality yield a family of flexible distributions that are straightforward to sample from, suitable for use within Monte Carlo algorithms and latent variable models, such as autoencoders. As an illustration, we empirically validate our approach by utilizing our proposed distributions within a variational autoencoder and a latent space network model. Finally, we take advantage of the generalized description of this framework to posit questions for future work. Comment: 34 pages, 9 figures. arXiv admin note: text overlap with arXiv:1804.00891 by other authors |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2204.09790 |
| رقم الأكسشن: | edsarx.2204.09790 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |