Thats a unique idea.You should consider the following idea to enhance your idea so that it would impact uniquely: Motivation: Visualizing and analysing the potential non-linear structure of a dataset is becoming an important task in molecular biology. This is even more challenging when the data have missing values.#R##N##R##N#Results: Here,  propose an inverse model that performs non-linear principal component analysis (NLPCA) from incomplete datasets. Missing values are ignored while optimizing the model, but can be estimated afterwards. Results are shown for both artificial and experimental datasets. In contrast to linear methods, non-linear methods re able to give better missing value estimations for non-linear structured data.#R##N##R##N#Application:  applied this technique to a time course of metabolite data from a cold stress experiment on the model plant Arabidopsis thaliana, and could approximate the mapping function from any time point to the metabolite responses. Thus, the inverse NLPCA provides greatly improved information for better understanding the complex response to cold stress.#R##N##R##N#Contact: scholz@mpimp-golm.mpg.de
['Matthias Scholz', 'Fatma Kaplan', 'Charles L. Guy', 'Joachim Kopka', 'Joachim Selbig']
I am writing a research paper on a idea Non-linear PCA: a missing data approach
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