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| Content Provider | ACM Digital Library |
|---|---|
| Author | Garcia-Cuesta, Esteban Galvan, Ines M. de Castro, Antonio J. |
| Abstract | In regression problems where the number of predictors exceeds the number of observations and the correlation between the predictors is high, a dimensionality reduction or a variable selection approach is demanded. In this paper we deal with a real application where we want to retrieve the physical characteristics of a combustion process from the measurements obtained with a spectroscopic sensor. This application shows up a multicollinearity problem but furthermore it is considered an ill-posed problem. Guided by this application scenario, we propose a clustering approach to find out homogeneous subsets of data which are embedded in arbitrary oriented linear manifold. This model is developed under certain assumptions guided by a priori problem knowledge. The resulting division preserves both, the priori assumptions and the homogeneity in the models. Thereby we break the whole problem in n subproblems improving its individual prediction accuracy versus a global solution. We show the obtained improvements in a real application scenario related with estimating the temperature from spectroscopic data in a remote sensing framework. |
| Starting Page | 97 |
| Ending Page | 104 |
| Page Count | 8 |
| File Format | |
| ISBN | 9781605586687 |
| DOI | 10.1145/1601966.1601983 |
| Language | English |
| Publisher | Association for Computing Machinery (ACM) |
| Publisher Date | 2009-06-28 |
| Publisher Place | New York |
| Access Restriction | Subscribed |
| Subject Keyword | Dimensionality reduction Supervised learning Regression Principal components analysis Clustering Remote sensing |
| Content Type | Text |
| Resource Type | Article |
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