Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Characteristic Function Approach to Deep Implicit Generative Modeling   Implicit Generative Models (IGMs) such as GANs have emerged as effective
data-driven models for generating samples, particularly images. In this paper,
we formulate the problem of learning an IGM as minimizing the expected distance
between characteristic functions. Specifically, we minimize the distance
between characteristic functions of the real and generated data distributions
under a suitably-chosen weighting distribution. This distance metric, which we
term as the characteristic function distance (CFD), can be (approximately)
computed with linear time-complexity in the number of samples, in contrast with
the quadratic-time Maximum Mean Discrepancy (MMD). By replacing the discrepancy
measure in the critic of a GAN with the CFD, we obtain a model that is simple
to implement and stable to train. The proposed metric enjoys desirable
theoretical properties including continuity and differentiability with respect
to generator parameters, and continuity in the weak topology. We further
propose a variation of the CFD in which the weighting distribution parameters
are also optimized during training; this obviates the need for manual tuning,
and leads to an improvement in test power relative to CFD. We demonstrate
experimentally that our proposed method outperforms WGAN and MMD-GAN variants
on a variety of unsupervised image generation benchmarks.

14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
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
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int
15
The categories of this paper are: nucl-ex