Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Novel techniques for improvement the NNetEn entropy calculation for
  short and noisy time series   Entropy is a fundamental concept of information theory. It is widely used in
the analysis of analog and digital signals. Conventional entropy measures have
drawbacks, such as sensitivity to the length and amplitude of time series and
low robustness to external noise. Recently, the NNetEn entropy measure has been
introduced to overcome these problems. The NNetEn entropy uses a modified
version of the LogNNet neural network classification model. The algorithm
contains a reservoir matrix with N = 19625 elements, which the given time
series should fill. Many practical time series have less than 19625 elements.
Against this background, this paper investigates different duplicating and
stretching techniques for filling to overcome this difficulty. The most
successful technique is identified for practical applications. The presence of
external noise and bias are other important issues affecting the efficiency of
entropy measures. In order to perform meaningful analysis, three time series
with different dynamics (chaotic, periodic, and binary), with a variation of
signal-to-noise ratio (SNR) and offsets, are considered. It is shown that the
error in the calculation of the NNetEn entropy does not exceed 10% when the SNR
exceeds 30 dB. This opens the possibility of measuring the NNetEn of
experimental signals in the presence of noise of various nature, white noise,
or 1/f noise, without the need for noise filtering.

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The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin
33
The categories of this paper are: plasm-ph
5
The categories of this paper are: gr-qc
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
8
The categories of this paper are: hep-ex
37
The categories of this paper are: supr-con
2
The categories of this paper are: math
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg