Recent content by rubinj

  1. R

    Contraction map of geometric mean

    the p(i|j) does specify the transition in a Markov chain, and the x(i) stands for some 'value' function over the states. i know that a solution exists, but i'd like to show it's also unique. I think that for this aim, i must introduce some discount parameter 0<\gamma<1...
  2. R

    Contraction map of geometric mean

    I have the following mapping (generalized geometric mean): y(i)=exp\left[{\sum_j p(j|i)\log x(j)}\right]\\ ,\ i,j=1..N where p(j|i) is a normalized conditional probability. my question is - is this a contraction mapping? in other words, does the following equation have a unique...
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