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On the variational equations for householder transformations in feature selection
| Content Provider | NASA Technical Reports Server (NTRS) |
|---|---|
| Author | Decell Jr., H. P. Mayekar, M. |
| Copyright Year | 1975 |
| Description | Results that suggest the possibility of using a sequential monotone process for solving the feature selection problem using Householder transformations are applied to the divergence separability criterion and an expression for the gradient of the divergence with respect to the generator of a single Householder transformation will be developed. This expression for the gradient is used in any number of differential correction schemes (iterators) that attempt to extremize the divergence. Data sets provided by the Earth Observations Division-JSC are used to demonstrate selecting the Householder transformations that generate the kxn matrix defining the best (in the sense of extremizing the divergence) k linear combinations of features. The tests allow initial comparisons to be made with results. In particular, this technique does not appear to require initial guesses for the iterator to be generated without replacement, exhaustive search, or other similar schemes. |
| File Size | 1860479 |
| Page Count | 11 |
| File Format | |
| Alternate Webpage(s) | http://archive.org/details/NASA_NTRS_Archive_19750018671 |
| Archival Resource Key | ark:/13960/t0tr0pg3t |
| Language | English |
| Publisher Date | 1975-03-01 |
| Access Restriction | Open |
| Subject Keyword | Numerical Analysis Sequential Analysis Linear Equations Multivariate Statistical Analysis Matrices Mathematics Transformations Mathematics Ntrs Nasa Technical Reports Server (ntrs) Nasa Technical Reports Server Aerodynamics Aircraft Aerospace Engineering Aerospace Aeronautic Space Science |
| Content Type | Text |
| Resource Type | Technical Report |
