Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Polynomial convergence of iterations of certain random operators in
  Hilbert space   We study the convergence of random iterative sequence of a family of
operators on infinite dimensional Hilbert spaces, which are inspired by the
Stochastic Gradient Descent (SGD) algorithm in the case of the noiseless
regression, as studied in [1]. We demonstrate that its polynomial convergence
rate depends on the initial state, while the randomness plays a role only in
the choice of the best constant factor and we close the gap between the upper
and lower bounds.

14
The categories of this paper are: math-ph
33
The categories of this paper are: plasm-ph
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
24
The categories of this paper are: dg-ga
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
15
The categories of this paper are: nucl-ex
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The categories of this paper are: nucl-th
13
The categories of this paper are: quant-ph
8
The categories of this paper are: hep-ex
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg