%0 Journal Article %1 rezende2020normalizing %A Rezende, Danilo Jimenez %A Papamakarios, George %A Racanière, Sébastien %A Albergo, Michael S. %A Kanwar, Gurtej %A Shanahan, Phiala E. %A Cranmer, Kyle %D 2020 %K flows generative-models geometry readings %T Normalizing Flows on Tori and Spheres %U http://arxiv.org/abs/2002.02428 %X Normalizing flows are a powerful tool for building expressive distributions in high dimensions. So far, most of the literature has concentrated on learning flows on Euclidean spaces. Some problems however, such as those involving angles, are defined on spaces with more complex geometries, such as tori or spheres. In this paper, we propose and compare expressive and numerically stable flows on such spaces. Our flows are built recursively on the dimension of the space, starting from flows on circles, closed intervals or spheres.

@article{rezende2020normalizing, abstract = {Normalizing flows are a powerful tool for building expressive distributions in high dimensions. So far, most of the literature has concentrated on learning flows on Euclidean spaces. Some problems however, such as those involving angles, are defined on spaces with more complex geometries, such as tori or spheres. In this paper, we propose and compare expressive and numerically stable flows on such spaces. Our flows are built recursively on the dimension of the space, starting from flows on circles, closed intervals or spheres.}, added-at = {2020-02-07T17:33:44.000+0100}, author = {Rezende, Danilo Jimenez and Papamakarios, George and Racanière, Sébastien and Albergo, Michael S. and Kanwar, Gurtej and Shanahan, Phiala E. and Cranmer, Kyle}, biburl = {https://www.bibsonomy.org/bibtex/2ae0b6a14bb57fff2682a41db165481d2/kirk86}, description = {[2002.02428v1] Normalizing Flows on Tori and Spheres}, interhash = {049fa8529473ef225f864a8ceb3184e4}, intrahash = {ae0b6a14bb57fff2682a41db165481d2}, keywords = {flows generative-models geometry readings}, note = {cite arxiv:2002.02428}, timestamp = {2020-02-07T17:33:44.000+0100}, title = {Normalizing Flows on Tori and Spheres}, url = {http://arxiv.org/abs/2002.02428}, year = 2020 }