Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Geoopt: Riemannian Optimization in PyTorch   Geoopt is a research-oriented modular open-source package for Riemannian
Optimization in PyTorch. The core of Geoopt is a standard Manifold interface
that allows for the generic implementation of optimization algorithms. Geoopt
supports basic Riemannian SGD as well as adaptive optimization algorithms.
Geoopt also provides several algorithms and arithmetic methods for supported
manifolds, which allow composing geometry-aware neural network layers that can
be integrated with existing models.

0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
28
The categories of this paper are: alg-geom
9
The categories of this paper are: nlin
25
The categories of this paper are: patt-sol
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
29
The categories of this paper are: funct-an
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn