Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Principled Interpolation in Normalizing Flows   Generative models based on normalizing flows are very successful in modeling
complex data distributions using simpler ones. However, straightforward linear
interpolations show unexpected side effects, as interpolation paths lie outside
the area where samples are observed. This is caused by the standard choice of
Gaussian base distributions and can be seen in the norms of the interpolated
samples. This observation suggests that correcting the norm should generally
result in better interpolations, but it is not clear how to correct the norm in
an unambiguous way. In this paper, we solve this issue by enforcing a fixed
norm and, hence, change the base distribution, to allow for a principled way of
interpolation. Specifically, we use the Dirichlet and von Mises-Fisher base
distributions. Our experimental results show superior performance in terms of
bits per dimension, Fr\'echet Inception Distance (FID), and Kernel Inception
Distance (KID) scores for interpolation, while maintaining the same generative
performance.

17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex