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A new tensor dimensionality reduction algorithm, Orthogonal Tensor Marginal Fisher Analysis (OTMFA), is proposed in this paper, which finds a set of orthonormal transformation matrices based on Tensor Marginal Fisher Analysis (TMFA). The obtained orthonormal transformation matrices do not distort the metric of the original tensor space such that the manifold structure of the input tensors can be better preserved. The experimental results show the effectiveness of the proposed algorithm for facial expression recognition.