Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Unsupervised Nonlinear Spectral Unmixing based on a Multilinear Mixing
  Model   In the community of remote sensing, nonlinear mixing models have recently
received particular attention in hyperspectral image processing. In this paper,
we present a novel nonlinear spectral unmixing method following the recent
multilinear mixing model of [1], which includes an infinite number of terms
related to interactions between different endmembers. The proposed unmixing
method is unsupervised in the sense that the endmembers are estimated jointly
with the abundances and other parameters of interest, i.e., the transition
probability of undergoing further interactions. Non-negativity and sum-to one
constraints are imposed on abundances while only nonnegativity is considered
for endmembers. The resulting unmixing problem is formulated as a constrained
nonlinear optimization problem, which is solved by a block coordinate descent
strategy, consisting of updating the endmembers, abundances and transition
probability iteratively. The proposed method is evaluated and compared with
linear unmixing methods for synthetic and real hyperspectral datasets acquired
by the AVIRIS sensor. The advantage of using non-linear unmixing as opposed to
linear unmixing is clearly shown in these examples.

11
The categories of this paper are: hep-lat
5
The categories of this paper are: gr-qc
15
The categories of this paper are: nucl-ex
19
The categories of this paper are: eess
31
The categories of this paper are: ao-sci
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
23
The categories of this paper are: solv-int
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
30
The categories of this paper are: q-alg
36
The categories of this paper are: cmp-lg
25
The categories of this paper are: patt-sol