Can this be done with a random projection?

On Mon, Jul 25, 2011 at 4:59 AM, Sebastian Schelter (JIRA)
<[email protected]>wrote:

>
>     [
> https://issues.apache.org/jira/browse/MAHOUT-773?page=com.atlassian.jira.plugin.system.issuetabpanels:all-tabpanel]
>
> Sebastian Schelter updated MAHOUT-773:
> --------------------------------------
>
>    Description:
> I'll create an implementation of Random Walk with Restarts as described in
> Kang, Tsourakakis, Faloutsos, "PEGASUS: A Peta-Scale Graph Mining System -
> Implementation and Observations"
> http://www.cs.cmu.edu/~christos/PUBLICATIONS/icdm09-pegasus.pdf
>
> The algorithm is a random walk similar to PageRank with the difference that
> you start at and teleport to a certain node. The probabilities it computes
> can be seen as a measure of proximity between the start node and a reached
> node. To my knowledge RWR can be e.g used for link predicition in social
> networks.
>
> I will try to create an implementation that is able to do several walks in
> parallel and I will assume that a steadystate probability vector fits in
> memory.
>
> I don't plan to use the implementation details from the paper but I'll
> model the algorithm as an iterative multiplication between the adjacency
> matrix of the graph and the matrix created from the steadystate probability
> vectors for the vertices we compute the random walks for.
>
>  was:
> I'll create an implementation of Random Walk with Restarts as described in
> Kang, Tsourakakis, Faloutsos, "PEGASUS: A Peta-Scale Graph Mining System -
> Implementation and Observations"
> http://www.cs.cmu.edu/~christos/PUBLICATIONS/icdm09-pegasus.pdf
>
> The algorithm is a random walk similar to PageRank with the difference that
> you start at and teleport to a certain node. The probabilities it computes
> can be seen as a measure of proximity between the start node and a reached
> node. To my knowledge RWR can be e.g used for link predicition in social
> networks.
>
> I will try to create an implementation that is able to do several walks in
> parallel and I will assume that a steadystate probability vector fits in
> memory.
>
>
> > Implement Random Walk with Restarts
> > -----------------------------------
> >
> >                 Key: MAHOUT-773
> >                 URL: https://issues.apache.org/jira/browse/MAHOUT-773
> >             Project: Mahout
> >          Issue Type: New Feature
> >          Components: Graph
> >    Affects Versions: 0.6
> >            Reporter: Sebastian Schelter
> >            Assignee: Sebastian Schelter
> >
> > I'll create an implementation of Random Walk with Restarts as described
> in Kang, Tsourakakis, Faloutsos, "PEGASUS: A Peta-Scale Graph Mining System
> - Implementation and Observations"
> http://www.cs.cmu.edu/~christos/PUBLICATIONS/icdm09-pegasus.pdf
> > The algorithm is a random walk similar to PageRank with the difference
> that you start at and teleport to a certain node. The probabilities it
> computes can be seen as a measure of proximity between the start node and a
> reached node. To my knowledge RWR can be e.g used for link predicition in
> social networks.
> > I will try to create an implementation that is able to do several walks
> in parallel and I will assume that a steadystate probability vector fits in
> memory.
> > I don't plan to use the implementation details from the paper but I'll
> model the algorithm as an iterative multiplication between the adjacency
> matrix of the graph and the matrix created from the steadystate probability
> vectors for the vertices we compute the random walks for.
>
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>
>

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