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Bilinear Probabilistic Principal Component Analysis
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DOI：10.1109/TNNLS.2012.2183006.png)
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Abstract
En 中文
Probabilistic principal component analysis (PPCA) is a popular linear latent variable model for multi-layer performing dimension reduction on 1-D data in a probabilistic manner. However, when used on 2-D data such as images, PPCA suffers from the curse of dimensionality due to the subsequently large number of model parameters. To overcome this problem, we propose in this paper a novel probabilistic model on 2-D data called bilinear PPCA (BPPCA). This allows the establishment of a closer tie between BPPCA and its nonprobabilistic counterpart. Moreover, two efficient parameter estimation algorithms for fitting BPPCA are also developed. Experiments on a number of 2-D synthetic and real-world data sets show that BPPCA is more accurate than existing probabilistic and nonprobabilistic dimension reduction methods.
Keywords:
2-D data
dimension reduction
expectation maximization
principal component analysis
probabilistic model
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