Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Determination of Latent Dimensionality in International Trade Flow   Currently, high-dimensional data is ubiquitous in data science, which
necessitates the development of techniques to decompose and interpret such
multidimensional (aka tensor) datasets. Finding a low dimensional
representation of the data, that is, its inherent structure, is one of the
approaches that can serve to understand the dynamics of low dimensional latent
features hidden in the data. Nonnegative RESCAL is one such technique,
particularly well suited to analyze self-relational data, such as dynamic
networks found in international trade flows. Nonnegative RESCAL computes a low
dimensional tensor representation by finding the latent space containing
multiple modalities. Estimating the dimensionality of this latent space is
crucial for extracting meaningful latent features. Here, to determine the
dimensionality of the latent space with nonnegative RESCAL, we propose a latent
dimension determination method which is based on clustering of the solutions of
multiple realizations of nonnegative RESCAL decompositions. We demonstrate the
performance of our model selection method on synthetic data and then we apply
our method to decompose a network of international trade flows data from
International Monetary Fund and validate the resulting features against
empirical facts from economic literature.

13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
14
The categories of this paper are: math-ph
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The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
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The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
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The categories of this paper are: comp-gas
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The categories of this paper are: adap-org
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The categories of this paper are: nucl-th