  Unsupervised multi-view representation learning has been extensively studied
for mining multi-view data. However, some critical challenges remain. On the
one hand, the existing methods cannot explore multi-view data comprehensively
since they usually learn a common representation between views, given that
multi-view data contains both the common information between views and the
specific information within each view. On the other hand, to mine the nonlinear
relationship between data, kernel or neural network methods are commonly used
for multi-view representation learning. However, these methods are lacking in
interpretability. To this end, this paper proposes a new multi-view fuzzy
representation learning method based on the interpretable Takagi-Sugeno-Kang
(TSK) fuzzy system (MVRL_FS). The method realizes multi-view representation
learning from two aspects. First, multi-view data are transformed into a
high-dimensional fuzzy feature space, while the common information between
views and specific information of each view are explored simultaneously.
Second, a new regularization method based on L_(2,1)-norm regression is
proposed to mine the consistency information between views, while the geometric
structure of the data is preserved through the Laplacian graph. Finally,
extensive experiments on many benchmark multi-view datasets are conducted to
validate the superiority of the proposed method.
