http://info.usherbrooke.ca/hlarochelle/neural_networks/content.html

these characteristics may come from a word. (hand writting data)
sequence of observation => model the joint distribution over the whole sequence

linear chain CRF
usually => iid assumption
but for the adjacent positions in a sequence => linear chain CRF

first term: from x_k
seconde term: from V matrix

context window

three neural network, weighted by a(0) a(-1) a(+1)

alternative: only one NN



computing the partition function

y' ≠ y
y_k is the resultant sequence
y'_k is all the probable sequence
the goal here is to calculate Z(X) in polynomial time (dynamic programming)

if someone gives me y2' then we can calculate alpha_1(y2')




https://www.spaces.ac.cn/archives/5542/comment-page-1



advantage function????
a = max x_n
V(s) = max_a Q(a|s)
A(a|s) = Q(a|s) - V(s)



computing marginals

performing classification





factors, sufficient statistics and linear CRF



Markov network


factor graph

another visualization to get rid of the ambiguity.

belief propagation



