Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast Hypergraph Regularized Nonnegative Tensor Ring Factorization Based
  on Low-Rank Approximation   For the high dimensional data representation, nonnegative tensor ring (NTR)
decomposition equipped with manifold learning has become a promising model to
exploit the multi-dimensional structure and extract the feature from tensor
data. However, the existing methods such as graph regularized tensor ring
decomposition (GNTR) only models the pair-wise similarities of objects. For
tensor data with complex manifold structure, the graph can not exactly
construct similarity relationships. In this paper, in order to effectively
utilize the higher-dimensional and complicated similarities among objects, we
introduce hypergraph to the framework of NTR to further enhance the feature
extraction, upon which a hypergraph regularized nonnegative tensor ring
decomposition (HGNTR) method is developed. To reduce the computational
complexity and suppress the noise, we apply the low-rank approximation trick to
accelerate HGNTR (called LraHGNTR). Our experimental results show that compared
with other state-of-the-art algorithms, the proposed HGNTR and LraHGNTR can
achieve higher performance in clustering tasks, in addition, LraHGNTR can
greatly reduce running time without decreasing accuracy.

28
The categories of this paper are: alg-geom
27
The categories of this paper are: comp-gas
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
26
The categories of this paper are: bayes-an
14
The categories of this paper are: math-ph
19
The categories of this paper are: eess
25
The categories of this paper are: patt-sol
34
The categories of this paper are: chem-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc