Information Theory, Inference, and Learning Algorithms (free ebook edition)
inference.phy.cam.ac.uk
inference.phy.cam.ac.uk
Note: I'm buying it entirely because it has wide margins. Many of the calculations he outlines deserve to be worked out in full. Wide margins are absolutely the most important publishing concern for a math/science/engineering-based text.
Bayesian Logical Analysis Physical Sciences by Gregory
Gregory's book explains a lot more of the engineering (autocorrelations, step size jumping, etc..). Even better, it discusses how to perform model selection using a clever annealing technique. Though model selection may not be of interest to you.
ps - MacKay's book is my nightly reading, so I'm not dissing MacKay :)
Cover and Thomas is more textbookish, and in some ways, more detailed. Personally, I'd read this first, and then take on the interesting topics in Cover and Thomas.
I read a lot of math books, and I'd put this right on top along with Needham's 'Visual Complex Analysis'.
brings up at least two more: http://www.cs.berkeley.edu/~vazirani/algorithms.html
http://www.cs.princeton.edu/theory/complexity/
Of course, both of them also get posted alot =).
http://www.cacr.math.uwaterloo.ca/hac/index.html
http://ocw.mit.edu/OcwWeb/Electrical-Engineering-and-Compute...
http://omega.albany.edu:8008/JaynesBook.html
http://research.microsoft.com/en-us/um/people/simonpj/papers...
These are from my own bookmarks... looks like there are a lot more at http://www.reddit.com/r/csbooks/top/?t=all
Can anyone comment on the quality of the writing?
This is a bit of an anathema to purist Bayesians like Radford Neal who say that Jaynes Maximum Entropy method is not consistent with Bayesian methods and that it "doesn't make any sense"
http://groups.google.com/group/sci.stat.consult/msg/2cf57ceb...
Ah, Cambridge.