Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cramer-Wold AutoEncoder   We propose a new generative model, Cramer-Wold Autoencoder (CWAE). Following
WAE, we directly encourage normality of the latent space. Our paper uses also
the recent idea from Sliced WAE (SWAE) model, which uses one-dimensional
projections as a method of verifying closeness of two distributions. The
crucial new ingredient is the introduction of a new (Cramer-Wold) metric in the
space of densities, which replaces the Wasserstein metric used in SWAE. We show
that the Cramer-Wold metric between Gaussian mixtures is given by a simple
analytic formula, which results in the removal of sampling necessary to
estimate the cost function in WAE and SWAE models. As a consequence, while
drastically simplifying the optimization procedure, CWAE produces samples of a
matching perceptual quality to other SOTA models.

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The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
23
The categories of this paper are: solv-int
37
The categories of this paper are: supr-con
36
The categories of this paper are: cmp-lg
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The categories of this paper are: q-alg
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The categories of this paper are: plasm-ph
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: astro-ph
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The categories of this paper are: chao-dyn