Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Positive reinforced generalized time-dependent P\'olya urns via
  stochastic approximation   Consider a generalized time-dependent P\'olya urn process defined as follows.
Let $d\in \mathbb{N}$ be the number of urns/colors. At each time $n$, we
distribute $\sigma_n$ balls randomly to the $d$ urns, proportionally to $f$,
where $f$ is a valid reinforcement function. We consider a general class of
positive reinforcement functions $\mathcal{R}$ assuming some monotonicity and
growth condition. The class $\mathcal{R}$ includes convex functions and the
classical case $f(x)=x^{\alpha}$, $\alpha>1$. The novelty of the paper lies in
extending stochastic approximation techniques to the $d$-dimensional case and
proving that eventually the process will fixate at some random urn and the
other urns will not receive any balls any more.

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The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
15
The categories of this paper are: nucl-ex
3
The categories of this paper are: physics
6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph