Someone already mentioned the GT knot, it was given that name by a guide in the Seychelles but the universal name is the FG knot. It's a friction knot where you don't tie a knot in the traditional sense. There's other similar knots called the PR, Midknot etc etc. All designed by the Japanese, very clever.
What's great about them is that because you don't actually form a knot with the braid you never have an issue with braid's terrible knot strength. So your PE1.5 breaks at its stated breaking strain. Unless you get a shock take in which case you hope your shock leader absorbs the stress. Another massive bonus is that because there is no "knot" in the mono you get no obstruction when it goes through the guides.
Here's a tutorial on the FG knot by Bruce Horner;
http://www.youtube.com/watch?v=K_qom1E-ihA
And one on the PR Knot
http://www.jigsdirect.com/eMerchantPro/pc/fishing_knots.asp
They are a ball-ache to tie but with practice you can do them fairly quickly, even on a rocking boat. There are also tools you can get to tie them from Studio Ocean Mark, Shout! and another that Plat has that I can't remember the name of. Here's a link to the tools. I have the Shout Bobin Knotter and am getting the L version of the FG Knotter.
http://www.plat.co.jp/shop/catalog/.../32_1350/fishing-gear-accessories/knoter.html
If you tie either of these knots you must remember that you must maintain constant reasonably heavy pressure on the braid. For the knot to work it has to constrict the mono. A good way of telling if it is tight enough is to look at the colour. If it is tight enough it will be a different colour to the standing end of the knot.
I had some issues with both uni knot connections and albrights. Not all the time but I got the impression that if I didn't tie them absolutely perfectly they would fail at way below the where I'd expect. I don't have these issues with the friction knots.
Another bonus is you can use them on baitcasters where a bulkier uni-uni or albright would snag on the level wind.