Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The value function approach to convergence analysis in composite
  optimization   This works aims at understanding further convergence properties of first
order local search methods with complex geometries. We focus on the composite
optimization model which unifies within a simple formalism many problems of
this type. We provide a general convergence analysis of the composite
Gauss-Newton method under tameness assumptions (an extension of
semi-algebraicity). Tameness is a very general condition satisfied by virtually
all problems solved in practice. The analysis is based on recent progresses in
understanding convergence properties of sequential convex programming methods
through the value function.

18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org