content_image/317049.jpg content_image/317048.jpg content_image/317047.jpg content_image/317045.jpg content_image/317044.jpg content_image/317043.jpg
are seen to equal 

<img src='content_image/317049.jpg'>

Here we used the expected log determinant of a Wishart random matrix 

and the log normalization constant of the Wishart distribution 

<img src='content_image/317048.jpg'>

<img src='content_image/317047.jpg'>

(see, for example, Beal 2003). The new cross entropy terms for GLYPH<16> and GLYPH<127> work out to 

<img src='content_image/317045.jpg'>

and 

respectively. The middle term of (20) eventually becomes 

<img src='content_image/317044.jpg'>

<img src='content_image/317043.jpg'>

With these changes, it is not hard to see that Q L is concave separately in GLYPH<22>$_{GLYPH<16>}$ and 6$_{GLYPH<16>}$ . The 

