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2021 ; 51
(6
): 3844-3864
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Cross-covariance based affinity for graphs
#MMPMID34764570
Yadav RK
; Abhishek
; Verma S
; Venkatesan S
Appl Intell (Dordr)
2021[]; 51
(6
): 3844-3864
PMID34764570
show ga
The accuracy of graph based learning techniques relies on the underlying
topological structure and affinity between data points, which are assumed to lie
on a smooth Riemannian manifold. However, the assumption of local linearity in a
neighborhood does not always hold true. Hence, the Euclidean distance based
affinity that determines the graph edges may fail to represent the true
connectivity strength between data points. Moreover, the affinity between data
points is influenced by the distribution of the data around them and must be
considered in the affinity measure. In this paper, we propose two techniques, C C
G A (L) and C C G A (N) that use cross-covariance based graph affinity (CCGA) to
represent the relation between data points in a local region. C C G A (L) also
explores the additional connectivity between data points which share a common
local neighborhood. C C G A (N) considers the influence of respective
neighborhoods of the two immediately connected data points, which further enhance
the affinity measure. Experimental results of manifold learning on synthetic
datasets show that CCGA is able to represent the affinity measure between data
points more accurately. This results in better low dimensional representation.
Manifold regularization experiments on standard image dataset further indicate
that the proposed CCGA based affinity is able to accurately identify and include
the influence of the data points and its common neighborhood that increase the
classification accuracy. The proposed method outperforms the existing
state-of-the-art manifold regularization methods by a significant margin.