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Vaniria Setser
The factor of 0.1 make your proposed move smaller so it will for sure increase your acceptance rate. However it will make your speed of exploring the configuration space slower.
In reality the acceptance rate between 5 - 80 percent is OK.
outside the loop. since you will for sure generate this random number for your proposed move for like 1000 times, you can generate an 1000 element random number array outside of the loop first. In the loop your just need to use the elements of the array sequentially one by one.
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Chapter 3, page 40 you may find how to form your tar function, which is the lambda = 1 case I believe,
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If I remember correctly, you can generate y according to Eq.(3.31). It automatically form the PDF of y which is Eq.(3.29). So you can directly form the distribution nicely without even using Metropolis. This could be the fastest way. Because you just do it.
I think you are confusing yourself a bit: your distribution is uniform on a finite number of elements of a set (which happen to be vectors in space). Ok, these vectors have some relation. But to sample them, just assign a number 1:size(oc) each and sample the number uniformly. If you insist, you can also sample the uniform number using Metropolis-Hastings.
No matter what distribution is, it can be written as a function f(x), then just do regular metropolis as you would do for any distribution function f(x). You can always propose whatever move you want to.
the factor can be anything, 0.1, 0.001, 10, 100, etc, whatever you want, just adjust it make sure your acceptance rate is between like 5-80%. In fact this factor can be dynamically adjusted during your MH and it will always converge to your whatever target distribution. Because detailed balance is always obeyed.
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I really like the Metropolis colour theme and is planning to tweak around it to make it 'mine'-ish. One thing that my supervisor is quick picky about is having some section navigation in a presentation. The good examples I can find are here and another one.
Any suggestions on how I could achieve that while keeping the colour theme? (I don't even know the correct jargon for those lines, so I tried googling terms like 'section header/section navigator footer/ etc' but it was not off good help.
The first example you linked to, uses a modified version of the Berlin theme, which in return uses the headline from the miniframe theme. You can simply keep using the metropolis theme (or better its updated fork moloch) and add this headline.
[In case you prefer the navigation bar from the second template you linked to, you can have a look into beamerouterthemesplit.sty and take the headline from there - but personally I don't think this will look good with metropolis, as the dark frametitle is already a quite dominant element and does not need the large headline from the split theme.]
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