What does the

Question

$$z_i \sim p_i(z_{i}|\theta, z_{<i})$$ I saw this in a paper and have googled a lot to try make sense of the exact meaning. It seems to be non-standard notation looking at this. Seems to say that the subscript in $$z_{<i}$$ is strictly less that i. Is this the correct interpretation?

The paper reference is here.

score 0 · Accepted Answer · answered Dec 18 '19 at 12:01

0

In this paper notation $z_{<i}$ is used to denote a vector of $(z_0,z_1,\ldots z_{i-1})$. The term $p(z_i|\theta,z_{<i})$ should be understood as “the probability of state $z_i$ given parameter $\theta$ and all previous states $z_0,\ldots z_{i-1}$”

answered Dec 18 '19 at 12:01

Vasily Mitch

10,129

Thanks @vasily, is this vector notation from linear algebra or something? – Vincent Karuri Dec 18 '19 at 13:35

What does the

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