Here is the basic concept :

• θ are parameters and X is data, both can be multidimensional
• We want to restrict terms inside exponential to the form θ*X

 

Formal Definition:

• η and T functions also help for the case when there is a mismatch in the dimension of θ and X.
• g(θ) in basic concept above has been taken into exponential as B(θ).
  • It vaguely serves as normalization factor.
• h(x) serves a distribution and exponential transfer this basic distribution

 

 

Further Reading

Click to access chapter8.pdf

Click to access lecture12.pdf