Exploiting different representations, or views, of the same object for better clustering has become very popular these days, which is conventionally called multi-view clustering. Generally, it is essential to measure the importance of each individual view, due to some noises, or inherent capacities in description. Many previous works model the view importance as weight, which is simple but effective empirically. In this paper, instead of following the traditional thoughts, we propose a new weight learning paradigm in context of multi-view clustering in virtue of the idea of re-weighted approach, and we theoretically analyze its working mechanism. Meanwhile, as a carefully achieved example, all of the views are connected by exploring a unified Laplacian rank constrained graph, which will be a representative method to compare with other weight learning approaches in experiments. Furthermore, the proposed weight learning strategy is much suitable for multi-view data, and it can be naturally integrated with many existing clustering learners. According to the numerical experiments, the proposed intrinsic weight learning approach is proved effective and practical to use in multi-view clustering.
An alternative to NR is to utilize the maximum entropy @cite_25 to penalize the weights. It can be described as where @math has the identical effect with @math in Eq. . Many previous works learn the weights in this way, such as @cite_28 @cite_2 . Similarly, when @math is fixed, we give the analytical solution to the corresponding subproblem as which is also known as Gibbs distribution as in @cite_28 . According to Eq. , it can be observed that when ( _v ( x ) _i ( x ) _2 . - _2 ) is very large, @math will be very small. Thus, loosely speaking, this strategy also learns the sparse weights. .
@cite_28 @cite_25 @cite_2
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Fusing multiple information sources can yield significant benefits to successfully accomplish learning tasks. Many studies have focussed on fusing information in supervised learning contexts. We present an approach to utilize multiple information sources in the form of similarity data for unsupervised learning. Based on similarity information, the clustering task is phrased as a non-negative matrix factorization problem of a mixture of similarity measurements. The tradeoff between the informativeness of data sources and the sparseness of their mixture is controlled by an entropy-based weighting mechanism. For the purpose of model selection, a stability-based approach is employed to ensure the selection of the most self-consistent hypothesis. The experiments demonstrate the performance of the method on toy as well as real world data sets. Multi-view clustering has become a popular clustering technique in recent years due to its ability to analyze data collected from multiple sources or represented by multiple views. In this paper, we propose a novel multi-view clustering approach termed weighted multi-view online competitive clustering (WMLCC). We simultaneously exploit the variable weighting strategy and the online competitive learning in our approach and cast the multi-view clustering problem into an optimization problem. The multi-view clustering result can be obtained by optimizing a new objective function. We conduct Multi-view clustering has become a popular clustering technique in recent years due to its ability to analyze data collected from multiple sources or represented by multiple views. In this paper, we propose a novel multi-view clustering approach termed weighted multi-view online competitive clustering (WMLCC). We simultaneously exploit the variable weighting strategy and the online competitive learning in our approach and cast the multi-view clustering problem into an optimization problem. The multi-view clustering result can be obtained by optimizing a new objective function. We conduct experiments on two real-world multi-view datasets. Experimental results demonstrate the effectiveness and efficiency of our approach.