Hi all,

This question is slightly weird. I am trying to populate a matrix with equations. The matrix represents transition probabilities between states. A simple example is:

        state1  state2  state3
state1  s       d       d*d
state2  e       s       d*e
state3  e*e     e*d     s

The parameters s, d, and e need to be optimized with an iterative algorithm. This means I have to modify, say, d, and then recalculate the transition probabilities for each cell.

Currently, I do this by making a matrix with the equations in character format, setting s, e, and d to values, and then running each cell through parse(eval(text=celltxt)). As follows:

#################################
# Test code:
# Make the text matrix
txtmat = matrix(c("s", "d", "d*d", "e", "s", "d*e", "e*e", "e*d", "e*d"), nrow=3, byrow=TRUE)

s=0.7
d=0.2
e=0.1

doit <- function(celltxt)
        {
        cellval = eval(parse(text=celltxt))
        return(cellval)
        }

# Calculate the matrix with numerical values
matrix_vals = sapply(X=txtmat, FUN=doit)
valmat = matrix(matrix_vals, nrow=3, byrow=TRUE)
valmat
# End test code
#################################


...however, this seems to get slow for large matrices. Since I have to optimize all the parameters I need something that updates the matrix quickly when s, d, or e is changed. Perhaps this is a job for pointers in C++ or something, but I figure there must be a better way in R.

Can anyone think of something more sophisticated than my current method?

Thanks in advance for any and all help!!

Cheers,
Nick




--
====================================================
Nicholas J. Matzke
Ph.D. Candidate, Graduate Student Researcher

Huelsenbeck Lab
Center for Theoretical Evolutionary Genomics
4151 VLSB (Valley Life Sciences Building)
Department of Integrative Biology
University of California, Berkeley

Graduate Student Instructor, IB200B
Principles of Phylogenetics: Ecology and Evolution
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-----------------------------------------------------
"[W]hen people thought the earth was flat, they were wrong. When people thought the earth was spherical, they were wrong. But if you think that thinking the earth is spherical is just as wrong as thinking the earth is flat, then your view is wronger than both of them put together."

Isaac Asimov (1989). "The Relativity of Wrong." The Skeptical Inquirer, 14(1), 35-44. Fall 1989.
http://chem.tufts.edu/AnswersInScience/RelativityofWrong.htm

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