Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Continuity of Chen-Fliess Series for Applications in System
  Identification and Machine Learning   Model continuity plays an important role in applications like system
identification, adaptive control, and machine learning. This paper provides
sufficient conditions under which input-output systems represented by locally
convergent Chen-Fliess series are jointly continuous with respect to their
generating series and as operators mapping a ball in an $L_p$-space to a ball
in an $L_q$-space, where $p$ and $q$ are conjugate exponents. The starting
point is to introduce a class of topological vector spaces known as Silva
spaces to frame the problem and then to employ the concept of a direct limit to
describe convergence. The proof of the main continuity result combines elements
of proofs for other forms of continuity appearing in the literature to produce
the desired conclusion.

10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
14
The categories of this paper are: math-ph
18
The categories of this paper are: econ