Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: ANAPT: Additive Noise Analysis for Persistence Thresholding   We introduce a novel method for Additive Noise Analysis for Persistence
Thresholding (ANAPT) which separates significant features in the sublevel set
persistence diagram of a time series based on a statistics analysis of the
persistence of a noise distribution. Specifically, we consider an additive
noise model and leverage the statistical analysis to provide a noise cutoff or
confidence interval in the persistence diagram for the observed time series.
This analysis is done for several common noise models including Gaussian,
uniform, exponential and Rayleigh distributions. ANAPT is computationally
efficient, does not require any signal pre-filtering, is widely applicable, and
has open-source software available. We demonstrate the functionality ANAPT with
both numerically simulated examples and an experimental data set. Additionally,
we provide an efficient $\Theta(n\log(n))$ algorithm for calculating the
zero-dimensional sublevel set persistence homology.

36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
18
The categories of this paper are: econ
6
The categories of this paper are: astro-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
24
The categories of this paper are: dg-ga
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
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The categories of this paper are: mtrl-th
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat