![$\mbox{\boldmath$x$}$](img1.gif) |
input vector |
![$\mbox{\boldmath$m$}_i$](img2.gif) |
ith reference vector |
c |
index of the closest to ![$\mbox{\boldmath$x$}$](img1.gif) |
c' |
index of the second closest to ![$\mbox{\boldmath$x$}$](img1.gif) |
N |
number of reference vectors |
t |
discrete time index |
hci |
neighborhood function in SOM |
![$\alpha$](img3.gif) |
learning rate |
r |
neighborhood radius in SOM |
D |
dimension of the input vectors |
M |
dimension of the SOM display |
![$\mbox{\boldmath$1$}_r$](img4.gif) |
vector of zeros except the rth component is 1 |
![$\mbox{\boldmath$I$}_i$](img5.gif) |
location of the ith SOM unit on the SOM grid |
![$p(\mbox{\boldmath$x$})$](img6.gif) |
probability density function of ![$\mbox{\boldmath$x$}$](img1.gif) |
![$\epsilon$](img7.gif) |
stabilizing constant factor for LVQ3 |
Ci |
ith class in LVQ |
M |
number classes in LVQ |
![$g_i(\mbox{\boldmath$x$})$](img8.gif) |
discriminant function of the ith class |
![$d_k(\mbox{\boldmath$x$})$](img9.gif) |
misclassification measure for ![$\mbox{\boldmath$x$} \in C_k$](img10.gif) |
![$\mbox{\boldmath$O$}$](img11.gif) |
sequence observation vectors of a system |
q |
sequence of states a system undergoes |
N |
number of states in an HMM system |
aij |
transition probability from state i to state j |
![$b_i(\mbox{\boldmath$O$}_t)$](img12.gif) |
output probability density model of state i |
![$\pi_i$](img13.gif) |
starting probability of state i |
![$\lambda$](img14.gif) |
description of an HMM |
![$\mbox{\boldmath$\mu$}_{jm}$](img15.gif) |
mean vector of mth Gaussian in jth codebook |
![$\mbox{\boldmath$c$}_{im}$](img16.gif) |
weight of mth Gaussian for state i |
K |
number of best matching units used in density approximations |
d |
average quantization error |