Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Extension of Correspondence Analysis to multiway data-sets through High
  Order SVD: a geometric framework   This paper presents an extension of Correspondence Analysis (CA) to tensors
through High Order Singular Value Decomposition (HOSVD) from a geometric
viewpoint. Correspondence analysis is a well-known tool, developed from
principal component analysis, for studying contingency tables. Different
algebraic extensions of CA to multi-way tables have been proposed over the
years, nevertheless neglecting its geometric meaning. Relying on the Tucker
model and the HOSVD, we propose a direct way to associate with each tensor mode
a point cloud. We prove that the point clouds are related to each other.
Specifically using the CA metrics we show that the barycentric relation is
still true in the tensor framework. Finally two data sets are used to underline
the advantages and the drawbacks of our strategy with respect to the classical
matrix approaches.

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The categories of this paper are: solv-int
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
18
The categories of this paper are: econ
19
The categories of this paper are: eess
4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
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The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th