Download Mining the FIRST Astronomical Survey Imola K. Fodor and Chandrika Kamath

Survey
yes no Was this document useful for you?
   Thank you for your participation!

* Your assessment is very important for improving the work of artificial intelligence, which forms the content of this project

Document related concepts

Nonlinear dimensionality reduction wikipedia, lookup

K-nearest neighbors algorithm wikipedia, lookup

Principal component analysis wikipedia, lookup

Multinomial logistic regression wikipedia, lookup

Transcript
We also used generalized linear models
(GLMs) to classify the galaxies

Linear models explain response variables in terms of
linear combinations of explanatory variables
Y  Xβ  ε, E (ε )  0, Cov(ε )  Σ
yi   0  1 X i ,1     p1 X i , p1  X iβ, E ( yi )  i , i  1,..., n

Least-squares estimate β̂ solves
βˆ  arg min  {( y  Xβ)' Σ ( y  Xβ)}
ˆ  Xβˆ
No restrictions on the range of fitted values Y
GLMs allow such restrictions by modeling
g (i )  Xiβ, Var( yi )  V (i ),
where g() is a monotone increasing link function
1


CASC
Sapphire/IKF 18