Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Optimal rates for the regularized learning algorithms under general
  source condition   We consider the learning algorithms under general source condition with the
polynomial decay of the eigenvalues of the integral operator in vector-valued
function setting. We discuss the upper convergence rates of Tikhonov
regularizer under general source condition corresponding to increasing monotone
index function. The convergence issues are studied for general regularization
schemes by using the concept of operator monotone index functions in minimax
setting. Further we also address the minimum possible error for any learning
algorithm.

24
The categories of this paper are: dg-ga
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
9
The categories of this paper are: nlin
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
23
The categories of this paper are: solv-int
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph