| Title |
Error rates in spatial classification of Gaussian data with random labeling |
| Translation of Title |
Atsitiktinių Gauso laukų stebinių klasifikavimo klaidos. |
| Authors |
Stabingienė, Lijana ; Dučinskas, Kęstutis |
| DOI |
10.15388/LMR.2010.77 |
| Full Text |
|
| Is Part of |
Lietuvos matematikos rinkinys : Lietuvos matematikų draugijos darbai.. Vilnius : Matematikos ir informatikos institutas. 2010, t. 51, p. 426-430.. ISSN 0132-2818. eISSN 2335-898X |
| Keywords [eng] |
supervised classification ; Gaussian Random Fields ; spatial correlation |
| Abstract [eng] |
In spatial classification it is usually assumed that features observations given labels are independently distributed. We have retracted this assumption by proposing stationary Gaussian random field model for features observations. The label are assumed to follow Disrete Random Field (DRF) model. Formula for exact error rate based on Bayes discriminant function (BDF) is derived. In the case of partial parametric uncertainty (mean parameters and variance are unknown), the approximation of the expected error rate associated with plug-in BDF is also derived. The dependence of considered error rates on the values of range and clustering parameters is investigated numerically for training locations being second-order neighbors to location of observation to be classified. |
| Published |
Vilnius : Matematikos ir informatikos institutas |
| Type |
Journal article |
| Language |
English |
| Publication date |
2010 |
| CC license |
|
