Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Proximal methods avoid active strict saddles of weakly convex functions   We introduce a geometrically transparent strict saddle property for nonsmooth
functions. This property guarantees that simple proximal algorithms on weakly
convex problems converge only to local minimizers, when randomly initialized.
We argue that the strict saddle property may be a realistic assumption in
applications, since it provably holds for generic semi-algebraic optimization
problems.

17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
8
The categories of this paper are: hep-ex
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph