The result of scaled an non-scaled data will be different because the regularization will have a different effect.

On 06/05/2015 03:10 AM, Yury Zhauniarovich wrote:
Thank you all! However, what Sturla wrote is now out of my understanding.

One more question. It seems also to me that Naive Bayes classifiers also do not need data to be scaled. Am I correct?


Best Regards,
Yury Zhauniarovich

On 4 June 2015 at 20:55, Sturla Molden <sturla.mol...@gmail.com <mailto:sturla.mol...@gmail.com>> wrote:

    On 04/06/15 20:38, Sturla Molden wrote:

    > Component-wise EM (aka CEM2) is a better way of avoiding the
    singularity
    > disease, though.

    The traditional EM for a GMM proceeds like this:

    while True:

        global_estep(clusters)

        for c in clusters:
            mstep(c)

    This is inherently unstable. Several clusters can become
    near-singular in the M-step before there is an E-step
    to redistribute the weights. You can get a "cascade of
    singularities" where the whole GMM basically dies. Even
    if you bias the diagonal of the covariance you still
    have the basic algorithmic problem.

    CEM2 proceeds like this:

    while True:
        for c in clusters:
            estep(c)
            mstep(c)

    This improves stability enormously. When a cluster becomes
    singular, the memberships are immediately redistributed.
    Therefore you will not get a "cascade of singularities"
    where the whole GMM basically dies.


    Sturla


    
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