Online Multi-view Subspace Learning with Mixed Noise

Multi-view learning reveals the latent correlation between different input modalities and has achieved outstanding performances in many fields. Recent approaches aim to find a low-dimensional subspace to reconstruct each view, in which the gross residual or noise follows either Gaussian or Laplacian distribution. However, the noise distribution is often more complex in practical applications, and a deterministic distribution assumption is incapable of modeling it. Additionally, referring to time-changed data, e.g., videos, the noise is temporal smooth, preventing us from processing the data with the whole input, as have generally been done in many existing multi-view learning methods. To tackle these problems, a novel online multi-view subspace learning is proposed in this paper. Particularly, our proposed method not only estimates a transformation for each view to extract the correlation among various views, but also introduces a Mixture of Gausssians (MoG) model into the multi-view data, successfully exploiting numbers of Gaussian Distributions to adaptively fit a wider range of the complex noise. Furthermore, we further design a novel online Expectation Maximization (EM) algorithm, being capable of efficiently processing the dynamic data. Experimental results substantiate the effectiveness and superiority of our approach.