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January 23, 2013 08:38
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markov cluster algorithm in ruby
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#!/usr/bin/ruby | |
class MCL | |
def initialize(path,min=0.00001,minpred=0.1) | |
@minimum=min | |
@minimunPred=minpred | |
@matrix=Hash.new | |
id=0 | |
edgelist=Array.new | |
open(path){|f| | |
f.each{|line| | |
line.chomp! | |
edgelist.push(line) | |
} | |
} | |
edgelist.each{|x| | |
ar=x.split(" ") | |
if ar.size==3 | |
ar.pop | |
end | |
ar.each{|node| | |
if [email protected]?(node) | |
@matrix[node]=Hash.new | |
end | |
} | |
} | |
edgelist.each{|x| | |
ar=x.split(" ") | |
if ar.length==2 | |
@matrix[ar[0]][ar[1]]=1.0 | |
@matrix[ar[1]][ar[0]]=1.0 | |
elsif ar.length==3 | |
@matrix[ar[0]][ar[1]]=ar[2].to_f | |
@matrix[ar[1]][ar[0]]=ar[2].to_f | |
end | |
} | |
add_loop(@matrix) | |
matrix_make_stochastic(@matrix) | |
#matrix_dump(@matrix) | |
end | |
def add_loop(matrix) | |
matrix.each_pair{|key,hash| | |
max=0.0 | |
hash.each_value{|val| | |
if max<val | |
max=val | |
end | |
} | |
if max>0.0 | |
matrix[key][key]=max | |
else | |
matrix[key][key]=1.0 | |
end | |
} | |
end | |
def matrix_dump(matrix) | |
matrix.each_pair{|x,y| | |
print x + "\n" | |
y.each_pair{|z,val| | |
print z + "," + val.to_s + ": " | |
} | |
print "\n" | |
} | |
end | |
def mcl(inflate=1.2) | |
chaos=1.0 | |
iter=1 | |
while(chaos>0.001) | |
matrixsq=matrix_square(@matrix) | |
chaos=matrix_inflate(matrixsq,inflate) | |
@matrix=matrixsq | |
iter+=1 | |
end | |
matrix_interpret(@matrix) | |
end | |
def matrix_interpret(matrix) | |
clusters=Hash.new | |
attrid=Hash.new | |
clid=0.0 | |
matrix.each_key{|key| | |
keys=matrix[key].keys | |
keys.each{|nb| | |
if matrix[key][nb]<@minimunPred | |
matrix[key].delete(nb) | |
end | |
} | |
} | |
attr=Hash.new | |
matrix.each_key{|key| | |
if matrix[key].key?(key) | |
attr[key]=1 | |
end | |
} | |
attr.each_key{|a| | |
if attrid.key?(a) | |
next | |
end | |
aa=[a] | |
while(aa.size()>0) | |
bb=[] | |
aa.each{|aat| | |
attrid[aat]=clid | |
matrix[aat].each_key{|akey| | |
if attr.key?(akey) | |
bb.push(akey) | |
end | |
} | |
} | |
aa=bb.select{|b| | |
!attrid.key?(b) | |
} | |
end | |
clid+=1 | |
} | |
matrix.each_key{|key| | |
if !attr.key?(key) | |
matrix[key].keys.select{|x| | |
attr.key?(x) | |
}.each{|a| | |
if clusters.key?([attrid[a]]) | |
if clusters[attrid[a]].key?(key) | |
clusters[attrid[a]][key]+=1 | |
else | |
clusters[attrid[a]][key]=1 | |
end | |
else | |
clusters[attrid[a]]=Hash.new | |
clusters[attrid[a]][key]=1 | |
end | |
} | |
else | |
if !clusters.key?(attrid[key]) | |
clusters[attrid[key]]=Hash.new | |
clusters[attrid[key]][key]=1 | |
else | |
if clusters[attrid[key]].key?(key) | |
clusters[attrid[key]][key]+=1 | |
else | |
clusters[attrid[key]][key]=1 | |
end | |
end | |
end | |
} | |
clusters | |
end | |
def matrix_square(matrix) | |
sq=Hash.new | |
matrix.each_key{|key| | |
sq[key]=matrix_multiply_vector(matrix,matrix[key]) | |
} | |
sq | |
end | |
def matrix_multiply_vector(matrix,vec) | |
w=Hash.new | |
vec.each_pair{|x,y| | |
matrix[x].each_key{|z| | |
if w.key?(z) | |
w[z]+=y*matrix[x][z] | |
else | |
w[z]=y*matrix[x][z] | |
end | |
} | |
} | |
w | |
end | |
def matrix_make_stochastic(matrix) | |
matrix_inflate(matrix,1.0) | |
end | |
def matrix_inflate(matrix,inflate) | |
chaos=0.0 | |
matrix.each_key{|key| | |
sum=0.0 | |
sumsq=0.0 | |
max=0.0 | |
matrix[key].keys.each{|row| | |
if matrix[key][row] < @minimum | |
matrix[key].delete(row) | |
next | |
end | |
matrix[key][row]**=inflate | |
sum+=matrix[key][row] | |
} | |
if(sum>0.0) | |
matrix[key].each_key{|row| | |
matrix[key][row]/=sum | |
sumsq+=matrix[key][row] | |
if max<matrix[key][row] | |
max=matrix[key][row] | |
end | |
} | |
end | |
if chaos < (max-sumsq) | |
chaos=max-sumsq | |
end | |
} | |
chaos | |
end | |
end | |
mcl=MCL.new(ARGV[0]) | |
mcl.mcl().each_pair{|key,val| | |
print val.keys.join(",")+"\n" | |
} |
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