Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Provably robust blind source separation of linear-quadratic
  near-separable mixtures   In this work, we consider the problem of blind source separation (BSS) by
departing from the usual linear model and focusing on the linear-quadratic (LQ)
model. We propose two provably robust and computationally tractable algorithms
to tackle this problem under separability assumptions which require the sources
to appear as samples in the data set. The first algorithm generalizes the
successive nonnegative projection algorithm (SNPA), designed for linear BSS,
and is referred to as SNPALQ. By explicitly modeling the product terms inherent
to the LQ model along the iterations of the SNPA scheme, the nonlinear
contributions of the mixing are mitigated, thus improving the separation
quality. SNPALQ is shown to be able to recover the ground truth factors that
generated the data, even in the presence of noise. The second algorithm is a
brute-force (BF) algorithm, which is used as a post-processing step for SNPALQ.
It enables to discard the spurious (mixed) samples extracted by SNPALQ, thus
broadening its applicability. The BF is in turn shown to be robust to noise
under easier-to-check and milder conditions than SNPALQ. We show that SNPALQ
with and without the BF postprocessing is relevant in realistic numerical
experiments.

21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
13
The categories of this paper are: quant-ph