Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Discond-VAE: Disentangling Continuous Factors from the Discrete   In the real-world data, there are common variations shared by all classes
(e.g. category label) and exclusive variations of each class. We propose a
variant of VAE capable of disentangling both of these variations. To represent
these generative factors of data, we introduce two sets of continuous latent
variables, private variable and public variable. Our proposed framework models
the private variable as a Mixture of Gaussian and the public variable as a
Gaussian, respectively. Each mode of the private variable is responsible for a
class of the discrete variable.
  Most of the previous attempts to integrate the discrete generative factors to
disentanglement assume statistical independence between the continuous and
discrete variables. Our proposed model, which we call Discond-VAE, DISentangles
the class-dependent CONtinuous factors from the Discrete factors by introducing
the private variables. The experiments show that Discond-VAE can discover the
private and public factors from data. Moreover, even under the dataset with
only public factors, Discond-VAE does not fail and adapts the private variables
to represent the public factors.

30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
24
The categories of this paper are: dg-ga
2
The categories of this paper are: math
18
The categories of this paper are: econ
21
The categories of this paper are: adap-org
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph