Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Insertion algorithm for inverting the signature of a path   In this article we introduce the insertion method for reconstructing the path
from its signature, i.e. inverting the signature of a path. For this purpose,
we prove that a converging upper bound exists for the difference between the
inserted n-th term and the (n+1)-th term of the normalised signature of a
smooth path, and we also show that there exists a constant lower bound for a
subsequence of the terms in the normalised signature of a piecewise linear
path. We demonstrate our results with numerical examples.

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The categories of this paper are: eess
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The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-ex
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci