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Nonlinear clustering has attracted an increasing amount of attention recently. In this paper, we propose a new nonlinear clustering method based on Cluster Shrinking and Border Detection (CSBD). Unlike most existing clustering method, the CSBD method focuses on every data point rather then the cluster centers. A novel idea, namely Cluster Shrinking, is designed to transform the original nonlinear...
It is well-known that recommendation system which is widely used in many e-commerce platforms to recommend items to the right users suffers from data sparsity, imbalanced rating and cold start problems. Matrix factorization is a good way to deal with the sparsity and imbalance problems, which is however unable to make prediction for new users due to the lack of auxiliary information. With the advent...
With the amount of data increasing rapidly, how to improve the scalability of nonlinear clustering has become a very crucial and challenging problem. In this paper, we design an efficient parallel nonlinear clustering algorithm by using a four-stage MapReduce framework. In our approach, we need to compute two quantities based on distance matrices, which, however, is difficult to compute in a MapReduce...
In this paper, the construction and properties of interval multi-wavelets with compact supports γ, multiplicity r and arbitrary integer dilation factor a are introduced, First, We obtain the parametric expressions of interval multi-wavelets. Then, we deduce the decomposition and reconstruction formulas of interval multi-wavelets. Finally we give an example to explain our theory.
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