Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Input anticipating critical reservoirs show power law forgetting of
  unexpected input events   Usually, reservoir computing shows an exponential memory decay. This paper
investigates under which circumstances echo state networks can show a power law
forgetting. That means traces of earlier events can be found in the reservoir
for very long time spans. Such a setting requires critical connectivity exactly
at the limit of what is permissible according the echo state condition.
However, for general matrices the limit cannot be determined exactly from
theory. In addition, the behavior of the network is strongly influenced by the
input flow. Results are presented that use certain types of restricted
recurrent connectivity and anticipation learning with regard to the input,
where indeed power law forgetting can be achieved.

29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th