Optimized regression for efficient function evaluation
In many applications of regression, one is concerned with the efficiency of the estimated function in addition to the accuracy of the regression. For efficiency, it is common to represent the estimated function as a rectangular lattice of values-a lookup table (LUT)-that can be linearly interpolated...
| Veröffentlicht in: | IEEE transactions on image processing : a publication of the IEEE Signal Processing Society. - 1992. - 21(2012), 9 vom: 29. Sept., Seite 4128-40 |
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| Weitere Verfasser: | , |
| Format: | Online-Aufsatz |
| Sprache: | English |
| Veröffentlicht: |
2012
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| Zugriff auf das übergeordnete Werk: | IEEE transactions on image processing : a publication of the IEEE Signal Processing Society |
| Schlagworte: | Journal Article Research Support, U.S. Gov't, Non-P.H.S. |
| Zusammenfassung: | In many applications of regression, one is concerned with the efficiency of the estimated function in addition to the accuracy of the regression. For efficiency, it is common to represent the estimated function as a rectangular lattice of values-a lookup table (LUT)-that can be linearly interpolated for any needed value. Typically, a LUT is constructed from data with a two-step process that first fits a function to the data, then evaluates that fitted function at the nodes of the lattice. We present an approach, termed lattice regression, that directly optimizes the values of the lattice nodes to minimize the post-interpolation training error. Additionally, we propose a second-order difference regularizer to promote smoothness. We demonstrate the effectiveness of this approach on two image processing tasks that require both accurate regression and efficient function evaluations: inverse device characterization for color management and omnidirectional super-resolution for visual homing |
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| Beschreibung: | Date Completed 26.12.2012 Date Revised 21.08.2012 published: Print-Electronic Citation Status PubMed-not-MEDLINE |
| ISSN: | 1941-0042 |
| DOI: | 10.1109/TIP.2012.2200902 |