Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: AETv2: AutoEncoding Transformations for Self-Supervised Representation
  Learning by Minimizing Geodesic Distances in Lie Groups   Self-supervised learning by predicting transformations has demonstrated
outstanding performances in both unsupervised and (semi-)supervised tasks.
Among the state-of-the-art methods is the AutoEncoding Transformations (AET) by
decoding transformations from the learned representations of original and
transformed images. Both deterministic and probabilistic AETs rely on the
Euclidean distance to measure the deviation of estimated transformations from
their groundtruth counterparts. However, this assumption is questionable as a
group of transformations often reside on a curved manifold rather staying in a
flat Euclidean space. For this reason, we should use the geodesic to
characterize how an image transform along the manifold of a transformation
group, and adopt its length to measure the deviation between transformations.
Particularly, we present to autoencode a Lie group of homography
transformations PG(2) to learn image representations. For this, we make an
estimate of the intractable Riemannian logarithm by projecting PG(2) to a
subgroup of rotation transformations SO(3) that allows the closed-form
expression of geodesic distances. Experiments demonstrate the proposed AETv2
model outperforms the previous version as well as the other state-of-the-art
self-supervised models in multiple tasks.

22
The categories of this paper are: chao-dyn
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
27
The categories of this paper are: comp-gas
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat