Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Entropic Herding   Herding is a deterministic algorithm used to generate data points that can be
regarded as random samples satisfying input moment conditions. The algorithm is
based on the complex behavior of a high-dimensional dynamical system and is
inspired by the maximum entropy principle of statistical inference. In this
paper, we propose an extension of the herding algorithm, called entropic
herding, which generates a sequence of distributions instead of points.
Entropic herding is derived as the optimization of the target function obtained
from the maximum entropy principle. Using the proposed entropic herding
algorithm as a framework, we discuss a closer connection between herding and
the maximum entropy principle. Specifically, we interpret the original herding
algorithm as a tractable version of entropic herding, the ideal output
distribution of which is mathematically represented. We further discuss how the
complex behavior of the herding algorithm contributes to optimization. We argue
that the proposed entropic herding algorithm extends the application of herding
to probabilistic modeling. In contrast to original herding, entropic herding
can generate a smooth distribution such that both efficient probability density
calculation and sample generation become possible. To demonstrate the viability
of these arguments in this study, numerical experiments were conducted,
including a comparison with other conventional methods, on both synthetic and
real data.

23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
33
The categories of this paper are: plasm-ph
2
The categories of this paper are: math
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
18
The categories of this paper are: econ