Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Continuous-Time Nesterov Accelerated Gradient Method for Centralized
  and Distributed Online Convex Optimization   This paper studies the online convex optimization problem by using an Online
Continuous-Time Nesterov Accelerated Gradient method (OCT-NAG). We show that
the continuous-time dynamics generated by the online version of the Bregman
Lagrangian achieves a constant static regret $\frac{c}{\sigma}$ independent of
$T$, provided that some boundedness assumptions on the objective functions and
optimal solutions hold. To the best of the authors' knowledge, this is the
lowest static regret in the literature (lower than $O(\text{log}(T))$). We
further show that under the same assumptions, the dynamic regret of the
algorithm is $O(T)$, which is comparable with the existing methods. Simulation
results validate the effectiveness and efficiency of the method. Furthermore,
the simulation shows that the algorithm performs well in terms of the dynamic
regret for some specific scaling conditions. In addition, we consider the
application of the proposed online optimization method in distributed online
optimization problems, and show that the proposed algorithm achieves an
$O(\sqrt{T})$ static regret, which is comparable with the existing distributed
online optimization methods. Different from these methods, the proposed method
requires neither the gradient boundedness assumption nor the compact constraint
set assumption, which allows different objective functions and different
optimization problems with those in the literature. A comparable dynamic regret
is obtained. Simulation results show the effectiveness and efficiency of the
distributed algorithm.

26
The categories of this paper are: bayes-an
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
12
The categories of this paper are: nucl-th
24
The categories of this paper are: dg-ga
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci