High-order contrasts for independent component analysis
Neural Computation
Blind source separation via generalized eigenvalue decomposition
The Journal of Machine Learning Research
Overlearning in marginal distribution-based ICA: analysis and solutions
The Journal of Machine Learning Research
A Generalized Framework for Network Component Analysis
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Fine-Scale Genetic Mapping Using Independent Component Analysis
IEEE/ACM Transactions on Computational Biology and Bioinformatics (TCBB)
Fast and robust fixed-point algorithms for independent component analysis
IEEE Transactions on Neural Networks
IEEE Transactions on Neural Networks
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With the advent of high-throughput biotechnology capable of monitoring genomic signals, it becomes increasingly promising to understand molecular cellular mechanisms through systems biology approaches. One of the active research topics in systems biology is to infer gene transcriptional regulatory networks using various genomic data; this inference problem can be formulated as a linear model with latent signals associated with some regulatory proteins called transcription factors (TFs). As common statistical assumptions may not hold for genomic signals, typical latent variable algorithms such as independent component analysis (ICA) are incapable to reveal underlying true regulatory signals. Liao et al. [1] proposed to perform inference using an approach named network component analysis (NCA), the optimization of which is achieved by a least-squares fitting approach with biological knowledge constraints. However, the incompleteness of biological knowledge and its inconsistency with gene expression data are not considered in the original NCA solution, which could greatly affect the inference accuracy. To overcome these limitations, we propose a linear extraction scheme, namely regulatory component analysis (RCA), to infer underlying regulatory signals even with partial biological knowledge. Numerical simulations show a significant improvement of our proposed RCA over NCA, not only when signal-to-noise ratio (SNR) is low but also when the given biological knowledge is incomplete and inconsistent to gene expression data. Furthermore, real biological experiments on Escherichia coli are performed for regulatory network inference in comparison with several typical linear latent variable methods, which again demonstrates the effectiveness and improved performance of the proposed algorithm.