Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Acceleration of L-BFGS with Second-Order Information and
  Stochastic Batches   This paper proposes a framework of L-BFGS based on the (approximate)
second-order information with stochastic batches, as a novel approach to the
finite-sum minimization problems. Different from the classical L-BFGS where
stochastic batches lead to instability, we use a smooth estimate for the
evaluations of the gradient differences while achieving acceleration by
well-scaling the initial Hessians. We provide theoretical analyses for both
convex and nonconvex cases. In addition, we demonstrate that within the popular
applications of least-square and cross-entropy losses, the algorithm admits a
simple implementation in the distributed environment. Numerical experiments
support the efficiency of our algorithms.

13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
10
The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat