There are a few minor mistakes in Section 3 in the paper text that was published at TACL (the PDF here fixes them):

* The first equation in Section 3.1 should have z^{\pi(i)}. The TACL paper doesn't have pi.

* The first mention of z in Section 3.2 should be z^{(j)} rather than z_j.

* The first equation in section 3.3 should be treated as a minimization problem rather than maximization.