[Biojava-l] Higer order HMMs
Mark Schreiber
mark_s@sanger.otago.ac.nz
Wed, 24 Jan 2001 10:49:42 +1300 (NZDT)
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Hi,
I have whipped up a diagram of how a higher order model might be
impersonated by a 1st order model. See attachment. Do you think that this
would work or would it be easier to make a custom alphabet (bearing in
mind there are 4096 dna hexamers!
Also I am trying to construct a system where by a model can suggest what
may be the appropriate order state for any particular region of a gene. I
was thinking the estimate could be based on Mutual information content,
similar to the example in Durbin et al. Can Biojava do mutual info or
sould I make a class of my own. Is there a better way?
Suggestions ??
Mark
On Tue, 23 Jan 2001, Matthew Pocock wrote:
> Hi Mark,
>
> We are now entering the twilight zone...
>
> Mark Schreiber wrote:
>
> > Hi,
> >
> > If I want a HMM to emit hexamers as in a gene finding HMM do I just create
> > a new hexamer alphabet and add that to the state or can it be mimicked by
> > the way that the transitions are set??
>
> The BioJava HMM toolkit only supports 1st order probabilities over
> transitions. That is, the probability of reaching a state is only conditional
> upon the 1st previous state. Other scheims would require a history of states
> visited to be maintained, and this is potentialy quite expensive. This effect
> can be simulated by producing multiple n'th order states (wow - that's scary)
> that project the n'th order state-space into a 1st order one. I haven't yet
> found any compelling reason to write the projection code.
>
> Originaly, the advance array on emission states would have dealt with the
> hexamer issue for you. However, we very quickly discovered (after reading the
> durbin-eddy-..... dp book) that you can handle this by building an HMM that
> emits hexamers. If you want to look at the sequence as a list of hexamers
> (non-overlapping) then you have the emission state Distributions emit over the
> hexamer alphabet, and you build the hexamer lists using
> SymbolListViews.windowedSymbolList(). If you want all overlapping hexamers,
> you use SymbolListViews.orderNSymbolList() and OrderNDistribution to model the
> conditional probability of the 6th nucleotide of each hexamer conditional on
> the previous five.
>
> We have tried to make sure that any model can always be represented in the 1st
> order form so that the DP engine can be relatively simple. I think that it
> also turns out that some sets of probabilities can be cached more eficiently
> in 1st order form.
>
> > Also if I want a different states to emit pentamers and some to emit
> > triplets can they be combined in the same model using different alphabets?
>
> Here you define the model in terms of pentamers, and some order 5 Distribution
> instances are degenerate for the first two nucleotides.
>
> >
> >
> > Mark
> >
>
> There may be some models that can't be represented quickly in this way, but I
> think that all can be transformed algorithmicaly. If the pent/trip model is
> more than an idle curiosity, then we can knock up an HMM implementation that
> 1st orderises any arbitrary model.
>
> Matthew
>
> >
> > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> > Mark Schreiber Ph: 64 3 4797875
> > Rm 218 email mark_s@sanger.otago.ac.nz
> > Department of Biochemistry email m.schreiber@clear.net.nz
> > University of Otago
> > PO Box 56
> > Dunedin
> > New Zealand
> > ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
> >
> > _______________________________________________
> > Biojava-l mailing list - Biojava-l@biojava.org
> > http://biojava.org/mailman/listinfo/biojava-l
>
>
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Mark Schreiber Ph: 64 3 4797875
Rm 218 email mark_s@sanger.otago.ac.nz
Department of Biochemistry email m.schreiber@clear.net.nz
University of Otago
PO Box 56
Dunedin
New Zealand
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
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