Got it- in short no.

Think of the keys like a dictionary or HashMap.

That's why everything is ending up on row 1.

What are you trying to achieve by creating keys of 1?

Trevor Grant
Data Scientist
https://github.com/rawkintrevo
http://stackexchange.com/users/3002022/rawkintrevo
http://trevorgrant.org

*"Fortunate is he, who is able to know the causes of things."  -Virgil*


On Fri, Apr 21, 2017 at 2:26 PM, KHATWANI PARTH BHARAT <
h2016...@pilani.bits-pilani.ac.in> wrote:

> @Trevor
>
>
>
> In was trying to write the "*Kmeans*" Using Mahout DRM as per the algorithm
> outlined by Dmitriy.
> I was facing the Problem of assigning cluster Ids to the Row Keys
> For Example
> Consider the below matrix Where column 1 to 3 are the data points and
> column 0 Containing the count of the point
> {
>  0 => {0:1.0,    1: 1.0,    2: 1.0,   3: 3.0}
>  1 => {0:1.0,    1: 2.0,    2: 3.0,   3: 4.0}
>  2 => {0:1.0,    1: 3.0,    2: 4.0,   3: 5.0}
>  3 => {0:1.0,    1: 4.0,    2: 5.0,   3: 6.0}
> }
>
> now after calculating the centriod which  closest to the data point data
> zeroth index i am trying to assign the centriod index to *row key *
>
> Now Suppose say that every data point is assigned to centriod at index 1
> so after assigning the key=1 to each and every row
>
> using the  code below
>
>  val drm2 = A.mapBlock() {
>       case (keys, block) =>        for(row <- 0 until keys.size) {
>
>          * //assigning 1 to each row index*          keys(row) = 1
>    }        (keys, block)    }
>
>
>
> I want above matrix to be in this form
>
>
> {
>  1 => {0:1.0,    1: 1.0,    2: 1.0,   3: 3.0}
>  1 => {0:1.0,    1: 2.0,    2: 3.0,   3: 4.0}
>  1 => {0:1.0,    1: 3.0,    2: 4.0,   3: 5.0}
>  1 => {0:1.0,    1: 4.0,    2: 5.0,   3: 6.0}
> }
>
>
>
>
>  Turns out to be this
> {
>  0 => {}
>  1 => {0:1.0,1:4.0,2:5.0,3:6.0}
>  2 => {}
>  3 => {}
> }
>
>
>
> I am confused weather assigning the new Key Values to the row index is done
> through the following code line
>
> * //assigning 1 to each row index*          keys(row) = 1
>
>
> or is there any other way.
>
>
>
> I am not able to find any use links or reference on internet even Andrew
> and Dmitriy's book also does not have any proper reference for the
> above mentioned issue.
>
>
>
> Thanks & Regards
> Parth Khatwani
>
>
>
> On Fri, Apr 21, 2017 at 10:06 PM, Trevor Grant <trevor.d.gr...@gmail.com>
> wrote:
>
> > OK, i dug into this before i read your question carefully, that was my
> bad.
> >
> > Assuming you want the aggregate transpose of :
> > {
> >  0 => {0:1.0,    1: 1.0,    2: 1.0,   3: 3.0}
> >  1 => {0:1.0,    1: 2.0,    2: 3.0,   3: 4.0}
> >  2 => {0:1.0,    1: 3.0,    2: 4.0,   3: 5.0}
> >  3 => {0:1.0,    1: 4.0,    2: 5.0,   3: 6.0}
> > }
> >
> > to be
> > {
> >  0 => {1: 5.0}   // (not 4.0) // and 6.0 in your example...
> >  1 => {1: 9.0}
> >  2 => {1: 12.0}
> >  3 => {1: 15.0}
> > }
> >
> >
> > Then why not replace the mapBlock statement as follows:
> >
> > val drm2 = (A(::, 1 until 4) cbind 0.0).mapBlock() {
> >   case (keys, block) =>
> >     for(row <- 0 until block.nrow) block(row, 3) = block(row, ::).sum
> >     (keys, block)
> > }
> > val aggTranspose = drm2(::, 3 until 4).t
> > println("Result of aggregating tranpose")
> > println(""+aggTranspose.collect)
> >
> > Where we are creating an empty row, then filling it with the row sums.
> >
> > A distributed rowSums fn would be nice for just such an occasion... sigh
> >
> > Let me know if that gets you going again.  That was simpler than I
> thought-
> > sorry for delay on this.
> >
> > PS
> > Candidly, I didn't explore further once i understood teh question, but if
> > you are going to collect this to the driver anyway (not sure if that is
> the
> > case)
> > A(::, 1 until 4).rowSums would also work.
> >
> >
> >
> >
> >
> > Trevor Grant
> > Data Scientist
> > https://github.com/rawkintrevo
> > http://stackexchange.com/users/3002022/rawkintrevo
> > http://trevorgrant.org
> >
> > *"Fortunate is he, who is able to know the causes of things."  -Virgil*
> >
> >
> > On Thu, Apr 20, 2017 at 9:01 PM, KHATWANI PARTH BHARAT <
> > h2016...@pilani.bits-pilani.ac.in> wrote:
> >
> > > @Trevor Sir,
> > > I have attached the sample data file and here is the line to complete
> > the Data
> > > File <https://drive.google.com/open?id=0Bxnnu_Ig2Et9QjZoM3dmY1V5WXM>.
> > >
> > >
> > > Following is the link for the Github Branch For the code
> > > https://github.com/parth2691/Spark_Mahout/tree/Dmitriy-Lyubimov
> > >
> > > KmeansMahout.scala
> > > <https://github.com/parth2691/Spark_Mahout/blob/Dmitriy-
> > Lyubimov/KmeansMahout.scala> is
> > > the complete code
> > >
> > >
> > > I also have made sample program just to test the assigning new values
> to
> > > the key to Row Matrix and aggregating transpose.I think assigning new
> > > values to the key to Row Matrix and aggregating transpose is causing
> the
> > > main problem in Kmean code
> > > Following is the link to Github repo for this code.
> > > TestClusterAssign.scala
> > > <https://github.com/parth2691/Spark_Mahout/blob/Dmitriy-
> > Lyubimov/TestClusterAssign.scala>
> > >
> > > above code contains the hard coded data. Following is the expected and
> > the
> > > actual output of the above code
> > > Out of 1st println After New Cluster assignment should be
> > > This
> > > {
> > >  0 => {0:1.0,    1: 1.0,    2: 1.0,   3: 3.0}
> > >  1 => {0:1.0,    1: 2.0,    2: 3.0,   3: 4.0}
> > >  2 => {0:1.0,    1: 3.0,    2: 4.0,   3: 5.0}
> > >  3 => {0:1.0,    1: 4.0,    2: 5.0,   3: 6.0}
> > > }
> > > (Here zeroth Column is used to store the centriod count and column 1,2
> > and
> > > 3 Contains Data)
> > >
> > > But Turns out to be this
> > > {
> > >  0 => {}
> > >  1 => {0:1.0,1:4.0,2:5.0,3:6.0}
> > >  2 => {}
> > >  3 => {}
> > > }
> > > And the result of aggregating Transpose should be
> > > {
> > >  0 => {1: 4.0}
> > >  1 => {1: 9.0}
> > >  2 => {1: 12.0}
> > >  3 => {1: 15.0}
> > > }
> > >
> > >
> > > Thanks Trevor for such a great Help
> > >
> > >
> > >
> > >
> > > Best Regards
> > > Parth
> > >
> > >
> > >
> > >
> > >
> > >
> > >
> > >
> > > On Fri, Apr 21, 2017 at 4:20 AM, Trevor Grant <
> trevor.d.gr...@gmail.com>
> > > wrote:
> > >
> > >> Hey
> > >>
> > >> Sorry for delay- was getting ready to tear into this.
> > >>
> > >> Would you mind posting a small sample of data that you would expect
> this
> > >> application to consume.
> > >>
> > >> tg
> > >>
> > >>
> > >> Trevor Grant
> > >> Data Scientist
> > >> https://github.com/rawkintrevo
> > >> http://stackexchange.com/users/3002022/rawkintrevo
> > >> http://trevorgrant.org
> > >>
> > >> *"Fortunate is he, who is able to know the causes of things."
> -Virgil*
> > >>
> > >>
> > >> On Tue, Apr 18, 2017 at 11:32 PM, KHATWANI PARTH BHARAT <
> > >> h2016...@pilani.bits-pilani.ac.in> wrote:
> > >>
> > >> > @Dmitriy,@Trevor and @Andrew Sir,
> > >> > I am still stuck at the above problem can you please help me out
> with
> > >> it.
> > >> > I am unable  to find the proper reference to solve the above issue.
> > >> >
> > >> > Thanks & Regards
> > >> > Parth Khatwani
> > >> >
> > >> >
> > >> >
> > >> >
> > >> >
> > >> >
> > >> >
> > >> >
> > >> >   <https://mailtrack.io/> Sent with Mailtrack
> > >> > <https://mailtrack.io/install?source=signature&lang=en&;
> > >> > referral=h2016...@pilani.bits-pilani.ac.in&idSignature=22>
> > >> >
> > >> > On Sat, Apr 15, 2017 at 10:07 AM, KHATWANI PARTH BHARAT <
> > >> > h2016...@pilani.bits-pilani.ac.in> wrote:
> > >> >
> > >> > > @Dmitriy,
> > >> > > @Trevor and @Andrew
> > >> > >
> > >> > > I have tried
> > >> > > Testing this Row Key assignment issue which i have mentioned in
> the
> > >> above
> > >> > > mail,
> > >> > > By Writing the a separate code where i am assigning the a default
> > >> value 1
> > >> > > to each row Key of The DRM and then taking the aggregating
> transpose
> > >> > > I have committed the separate  test code to the  Github Branch
> > >> > > <https://github.com/parth2691/Spark_Mahout/tree/Dmitriy-Lyubimov
> >.
> > >> > >
> > >> > > The Code is as follows
> > >> > >
> > >> > > val inCoreA = dense((1,1, 2, 3), (1,2, 3, 4), (1,3, 4, 5), (1,4,
> 5,
> > >> 6))
> > >> > >     val A = drmParallelize(m = inCoreA)
> > >> > >
> > >> > >     //Mapblock
> > >> > >     val drm2 = A.mapBlock() {
> > >> > >       case (keys, block) =>        for(row <- 0 until keys.size) {
> > >> > >
> > >> > >          * //assigning 1 to each row index*          keys(row) = 1
> > >> >   }        (keys, block)    }    prinln("After New Cluster
> > assignment")
> > >> > println(""+drm2.collect)    val aggTranspose = drm2.t
> > >> println("Result of
> > >> > aggregating tranpose")    println(""+aggTranspose.collect)
> > >> > >
> > >> > > Out of 1st println After New Cluster assignment should be
> > >> > > This
> > >> > > {
> > >> > >  0 => {0:1.0,    1: 1.0,    2: 1.0,   3: 3.0}
> > >> > >  1 => {0:1.0,    1: 2.0,    2: 3.0,   3: 4.0}
> > >> > >  2 => {0:1.0,    1: 3.0,    2: 4.0,   3: 5.0}
> > >> > >  3 => {0:1.0,    1: 4.0,    2: 5.0,   3: 6.0}
> > >> > > }
> > >> > > (Here zeroth Column is used to store the centriod count and column
> > 1,2
> > >> > and
> > >> > > 3 Contains Data)
> > >> > >
> > >> > > But Turns out to be this
> > >> > > {
> > >> > >  0 => {}
> > >> > >  1 => {0:1.0,1:4.0,2:5.0,3:6.0}
> > >> > >  2 => {}
> > >> > >  3 => {}
> > >> > > }
> > >> > > And the result of aggregating Transpose should be
> > >> > > {
> > >> > >  0 => {1: 4.0}
> > >> > >  1 => {1: 9.0}
> > >> > >  2 => {1: 12.0}
> > >> > >  3 => {1: 15.0}
> > >> > > }
> > >> > >
> > >> > >
> > >> > >  I have referred to the book written by Andrew And Dmitriy Apache
> > >> Mahout:
> > >> > > Beyond MapReduce
> > >> > > <https://www.amazon.com/Apache-Mahout-MapReduce-
> > >> > Dmitriy-Lyubimov/dp/1523775785> Aggregating
> > >> > > Transpose  and other concepts are explained very nicely over here
> > but
> > >> i
> > >> > am
> > >> > > unable to find any example where
> > >> > > Row Keys are assigned new Values . Mahout Samsara Manual
> > >> > > http://apache.github.io/mahout/doc/ScalaSparkBindings.html Also
> > Does
> > >> not
> > >> > > contain any such examples.
> > >> > > It will great if i can get some reference to solution of mentioned
> > >> issue.
> > >> > >
> > >> > >
> > >> > > Thanks
> > >> > > Parth Khatwani
> > >> > >
> > >> > >
> > >> > >
> > >> > > On Sat, Apr 15, 2017 at 12:13 AM, Andrew Palumbo <
> > ap....@outlook.com>
> > >> > > wrote:
> > >> > >
> > >> > >> +1
> > >> > >>
> > >> > >>
> > >> > >>
> > >> > >> Sent from my Verizon Wireless 4G LTE smartphone
> > >> > >>
> > >> > >>
> > >> > >> -------- Original message --------
> > >> > >> From: Trevor Grant <trevor.d.gr...@gmail.com>
> > >> > >> Date: 04/14/2017 11:40 (GMT-08:00)
> > >> > >> To: dev@mahout.apache.org
> > >> > >> Subject: Re: Trying to write the KMeans Clustering Using "Apache
> > >> Mahout
> > >> > >> Samsara"
> > >> > >>
> > >> > >> Parth and Dmitriy,
> > >> > >>
> > >> > >> This is awesome- as a follow on can we work on getting this
> rolled
> > >> in to
> > >> > >> the algorithms framework?
> > >> > >>
> > >> > >> Happy to work with you on this Parth!
> > >> > >>
> > >> > >> Trevor Grant
> > >> > >> Data Scientist
> > >> > >> https://github.com/rawkintrevo
> > >> > >> http://stackexchange.com/users/3002022/rawkintrevo
> > >> > >> http://trevorgrant.org
> > >> > >>
> > >> > >> *"Fortunate is he, who is able to know the causes of things."
> > >> -Virgil*
> > >> > >>
> > >> > >>
> > >> > >> On Fri, Apr 14, 2017 at 1:27 PM, Dmitriy Lyubimov <
> > dlie...@gmail.com
> > >> >
> > >> > >> wrote:
> > >> > >>
> > >> > >> > i would think reassinging keys should work in most cases.
> > >> > >> > The only exception is that technically Spark contracts imply
> that
> > >> > effect
> > >> > >> > should be idempotent if task is retried, which might be a
> problem
> > >> in a
> > >> > >> > specific scenario of the object tree coming out from block
> cache
> > >> > object
> > >> > >> > tree, which can stay there and be retried again. but
> specifically
> > >> > w.r.t.
> > >> > >> > this key assignment i don't see any problem since the action
> > >> obviously
> > >> > >> > would be idempotent even if this code is run multiple times on
> > the
> > >> > same
> > >> > >> > (key, block) pair. This part should be good IMO.
> > >> > >> >
> > >> > >> > On Fri, Apr 14, 2017 at 2:26 AM, KHATWANI PARTH BHARAT <
> > >> > >> > h2016...@pilani.bits-pilani.ac.in> wrote:
> > >> > >> >
> > >> > >> > > @Dmitriy Sir,
> > >> > >> > > In the K means code above I think i am doing the following
> > >> > Incorrectly
> > >> > >> > >
> > >> > >> > > Assigning the closest centriod index to the Row Keys of DRM
> > >> > >> > >
> > >> > >> > > //11. Iterating over the Data Matrix(in DrmLike[Int] format)
> to
> > >> > >> calculate
> > >> > >> > > the initial centriods
> > >> > >> > >     dataDrmX.mapBlock() {
> > >> > >> > >       case (keys, block) =>
> > >> > >> > >         for (row <- 0 until block.nrow) {
> > >> > >> > >           var dataPoint = block(row, ::)
> > >> > >> > >
> > >> > >> > >           //12. findTheClosestCentriod find the closest
> > centriod
> > >> to
> > >> > >> the
> > >> > >> > > Data point specified by "dataPoint"
> > >> > >> > >           val closesetIndex = findTheClosestCentriod(
> > dataPoint,
> > >> > >> > centriods)
> > >> > >> > >
> > >> > >> > >           //13. assigning closest index to key
> > >> > >> > >           keys(row) = closesetIndex
> > >> > >> > >         }
> > >> > >> > >         keys -> block
> > >> > >> > >     }
> > >> > >> > >
> > >> > >> > >  in step 12 i am finding the centriod closest to the current
> > >> > dataPoint
> > >> > >> > >  in step13 i am assigning the closesetIndex to the key of the
> > >> > >> > corresponding
> > >> > >> > > row represented by the dataPoint
> > >> > >> > > I think i am doing step13 incorrectly.
> > >> > >> > >
> > >> > >> > > Also i am unable to find the proper reference for the same in
> > the
> > >> > >> > reference
> > >> > >> > > links which you have mentioned above
> > >> > >> > >
> > >> > >> > >
> > >> > >> > > Thanks & Regards
> > >> > >> > > Parth Khatwani
> > >> > >> > >
> > >> > >> > >
> > >> > >> > >
> > >> > >> > >
> > >> > >> > >
> > >> > >> > > On Thu, Apr 13, 2017 at 6:24 PM, KHATWANI PARTH BHARAT <
> > >> > >> > > h2016...@pilani.bits-pilani.ac.in> wrote:
> > >> > >> > >
> > >> > >> > > > Dmitriy Sir,
> > >> > >> > > > I have Created a github branch Github Branch Having Initial
> > >> Kmeans
> > >> > >> Code
> > >> > >> > > > <https://github.com/parth2691/
> Spark_Mahout/tree/Dmitriy-Lyub
> > >> imov>
> > >> > >> > > >
> > >> > >> > > >
> > >> > >> > > > Thanks & Regards
> > >> > >> > > > Parth Khatwani
> > >> > >> > > >
> > >> > >> > > > On Thu, Apr 13, 2017 at 3:19 AM, Andrew Palumbo <
> > >> > ap....@outlook.com
> > >> > >> >
> > >> > >> > > > wrote:
> > >> > >> > > >
> > >> > >> > > >> +1 to creating a branch.
> > >> > >> > > >>
> > >> > >> > > >>
> > >> > >> > > >>
> > >> > >> > > >> Sent from my Verizon Wireless 4G LTE smartphone
> > >> > >> > > >>
> > >> > >> > > >>
> > >> > >> > > >> -------- Original message --------
> > >> > >> > > >> From: Dmitriy Lyubimov <dlie...@gmail.com>
> > >> > >> > > >> Date: 04/12/2017 11:25 (GMT-08:00)
> > >> > >> > > >> To: dev@mahout.apache.org
> > >> > >> > > >> Subject: Re: Trying to write the KMeans Clustering Using
> > >> "Apache
> > >> > >> > Mahout
> > >> > >> > > >> Samsara"
> > >> > >> > > >>
> > >> > >> > > >> can't say i can read this code well formatted that way...
> > >> > >> > > >>
> > >> > >> > > >> it would seem to me that the code is not using the
> broadcast
> > >> > >> variable
> > >> > >> > > and
> > >> > >> > > >> instead is using closure variable. that's the only thing i
> > can
> > >> > >> > > immediately
> > >> > >> > > >> see by looking in the middle of it.
> > >> > >> > > >>
> > >> > >> > > >> it would be better if you created a branch on github for
> > that
> > >> > code
> > >> > >> > that
> > >> > >> > > >> would allow for easy check-outs and comments.
> > >> > >> > > >>
> > >> > >> > > >> -d
> > >> > >> > > >>
> > >> > >> > > >> On Wed, Apr 12, 2017 at 10:29 AM, KHATWANI PARTH BHARAT <
> > >> > >> > > >> h2016...@pilani.bits-pilani.ac.in> wrote:
> > >> > >> > > >>
> > >> > >> > > >> > @Dmitriy Sir
> > >> > >> > > >> >
> > >> > >> > > >> > I have completed the Kmeans code as per the algorithm
> you
> > >> have
> > >> > >> > Outline
> > >> > >> > > >> > above
> > >> > >> > > >> >
> > >> > >> > > >> > My code is as follows
> > >> > >> > > >> >
> > >> > >> > > >> > This code works fine till step number 10
> > >> > >> > > >> >
> > >> > >> > > >> > In step 11 i am assigning the new centriod index  to
> > >> > >> corresponding
> > >> > >> > row
> > >> > >> > > >> key
> > >> > >> > > >> > of data Point in the matrix
> > >> > >> > > >> > I think i am doing something wrong in step 11 may be i
> am
> > >> using
> > >> > >> > > >> incorrect
> > >> > >> > > >> > syntax
> > >> > >> > > >> >
> > >> > >> > > >> > Can you help me find out what am i doing wrong.
> > >> > >> > > >> >
> > >> > >> > > >> >
> > >> > >> > > >> > //start of main method
> > >> > >> > > >> >
> > >> > >> > > >> > def main(args: Array[String]) {
> > >> > >> > > >> >      //1. initialize the spark and mahout context
> > >> > >> > > >> >     val conf = new SparkConf()
> > >> > >> > > >> >       .setAppName("DRMExample")
> > >> > >> > > >> >       .setMaster(args(0))
> > >> > >> > > >> >       .set("spark.serializer",
> > "org.apache.spark.serializer.
> > >> > >> > > >> > KryoSerializer")
> > >> > >> > > >> >       .set("spark.kryo.registrator",
> > >> > >> > > >> > "org.apache.mahout.sparkbindings.io.
> > MahoutKryoRegistrator")
> > >> > >> > > >> >     implicit val sc = new SparkDistributedContext(new
> > >> > >> > > >> SparkContext(conf))
> > >> > >> > > >> >
> > >> > >> > > >> >     //2. read the data file and save it in the rdd
> > >> > >> > > >> >     val lines = sc.textFile(args(1))
> > >> > >> > > >> >
> > >> > >> > > >> >     //3. convert data read in as string in to array of
> > >> double
> > >> > >> > > >> >     val test = lines.map(line =>
> > >> line.split('\t').map(_.toDoubl
> > >> > >> e))
> > >> > >> > > >> >
> > >> > >> > > >> >     //4. add a column having value 1 in array of double
> > this
> > >> > will
> > >> > >> > > >> > create something like (1 | D)',  which will be used
> while
> > >> > >> > calculating
> > >> > >> > > >> > (1 | D)'
> > >> > >> > > >> >     val augumentedArray = test.map(addCentriodColumn _)
> > >> > >> > > >> >
> > >> > >> > > >> >     //5. convert rdd of array of double in rdd of
> > >> DenseVector
> > >> > >> > > >> >     val rdd = augumentedArray.map(dvec(_))
> > >> > >> > > >> >
> > >> > >> > > >> >     //6. convert rdd to DrmRdd
> > >> > >> > > >> >     val rddMatrixLike: DrmRdd[Int] =
> rdd.zipWithIndex.map
> > {
> > >> > case
> > >> > >> (v,
> > >> > >> > > >> > idx) => (idx.toInt, v) }        //7. convert DrmRdd to
> > >> > >> > > >> > CheckpointedDrm[Int]    val matrix =
> > drmWrap(rddMatrixLike)
> > >> > >> //8.
> > >> > >> > > >> > seperating the column having all ones created in step 4
> > and
> > >> > will
> > >> > >> use
> > >> > >> > > >> > it later    val oneVector = matrix(::, 0 until 1)
> > >> //9.
> > >> > >> final
> > >> > >> > > >> > input data in DrmLike[Int] format    val dataDrmX =
> > >> matrix(::,
> > >> > 1
> > >> > >> > until
> > >> > >> > > >> > 4)            //9. Sampling to select initial centriods
> > >> val
> > >> > >> > > >> > centriods = drmSampleKRows(dataDrmX, 2, false)
> > >> > centriods.size
> > >> > >> > > >> > //10. Broad Casting the initial centriods    val
> > >> > broadCastMatrix
> > >> > >> =
> > >> > >> > > >> > drmBroadcast(centriods)            //11. Iterating over
> > the
> > >> > Data
> > >> > >> > > >> > Matrix(in DrmLike[Int] format) to calculate the initial
> > >> > centriods
> > >> > >> > > >> > dataDrmX.mapBlock() {      case (keys, block) =>
> > for
> > >> > (row
> > >> > >> <-
> > >> > >> > 0
> > >> > >> > > >> > until block.nrow) {          var dataPoint = block(row,
> > ::)
> > >> > >> > > >> >         //12. findTheClosestCentriod find the closest
> > >> centriod
> > >> > to
> > >> > >> > the
> > >> > >> > > >> > Data point specified by "dataPoint"          val
> > >> closesetIndex
> > >> > =
> > >> > >> > > >> > findTheClosestCentriod(dataPoint, centriods)
> > >> > >> > //13.
> > >> > >> > > >> > assigning closest index to key          keys(row) =
> > >> > closesetIndex
> > >> > >> > > >> >   }        keys -> block    }
> > >> > >> > > >> >
> > >> > >> > > >> >     //14. Calculating the (1|D)      val b = (oneVector
> > >> cbind
> > >> > >> > > >> > dataDrmX)        //15. Aggregating Transpose (1|D)'
> val
> > >> > >> > bTranspose
> > >> > >> > > >> > = (oneVector cbind dataDrmX).t    // after step 15
> > >> bTranspose
> > >> > >> will
> > >> > >> > > >> > have data in the following format        /*(n+1)*K where
> > >> > >> n=dimension
> > >> > >> > > >> > of the data point, K=number of clusters    * zeroth row
> > will
> > >> > >> contain
> > >> > >> > > >> > the count of points assigned to each cluster    *
> assuming
> > >> 3d
> > >> > >> data
> > >> > >> > > >> > points     *     */
> > >> > >> > > >> >
> > >> > >> > > >> >
> > >> > >> > > >> >     val nrows = b.nrow.toInt    //16. slicing the count
> > >> vectors
> > >> > >> out
> > >> > >> > > >> >  val pointCountVectors = drmBroadcast(b(0 until 1,
> > >> > ::).collect(0,
> > >> > >> > ::))
> > >> > >> > > >> >    val vectorSums = b(1 until nrows, ::)    //17.
> dividing
> > >> the
> > >> > >> data
> > >> > >> > > >> > point by count vector    vectorSums.mapBlock() {
> case
> > >> > (keys,
> > >> > >> > > >> > block) =>        for (row <- 0 until block.nrow) {
> > >> > >> > block(row,
> > >> > >> > > >> > ::) /= pointCountVectors        }        keys -> block
> > }
> > >> > >> //18.
> > >> > >> > > >> > seperating the count vectors    val newCentriods =
> > >> > >> vectorSums.t(::,1
> > >> > >> > > >> > until centriods.size)            //19. iterate over the
> > >> above
> > >> > >> code
> > >> > >> > > >> > till convergence criteria is meet   }//end of main
> method
> > >> > >> > > >> >
> > >> > >> > > >> >
> > >> > >> > > >> >
> > >> > >> > > >> >   // method to find the closest centriod to data point(
> > vec:
> > >> > >> Vector
> > >> > >> > > >> > in the arguments)  def findTheClosestCentriod(vec:
> Vector,
> > >> > >> matrix:
> > >> > >> > > >> > Matrix): Int = {
> > >> > >> > > >> >     var index = 0
> > >> > >> > > >> >     var closest = Double.PositiveInfinity
> > >> > >> > > >> >     for (row <- 0 until matrix.nrow) {
> > >> > >> > > >> >       val squaredSum = ssr(vec, matrix(row, ::))
> > >> > >> > > >> >       val tempDist = Math.sqrt(ssr(vec, matrix(row,
> ::)))
> > >> > >> > > >> >       if (tempDist < closest) {
> > >> > >> > > >> >         closest = tempDist
> > >> > >> > > >> >         index = row
> > >> > >> > > >> >       }
> > >> > >> > > >> >     }
> > >> > >> > > >> >     index
> > >> > >> > > >> >   }
> > >> > >> > > >> >
> > >> > >> > > >> >    //calculating the sum of squared distance between the
> > >> > >> > > points(Vectors)
> > >> > >> > > >> >   def ssr(a: Vector, b: Vector): Double = {
> > >> > >> > > >> >     (a - b) ^= 2 sum
> > >> > >> > > >> >   }
> > >> > >> > > >> >
> > >> > >> > > >> >   //method used to create (1|D)
> > >> > >> > > >> >   def addCentriodColumn(arg: Array[Double]):
> Array[Double]
> > >> = {
> > >> > >> > > >> >     val newArr = new Array[Double](arg.length + 1)
> > >> > >> > > >> >     newArr(0) = 1.0;
> > >> > >> > > >> >     for (i <- 0 until (arg.size)) {
> > >> > >> > > >> >       newArr(i + 1) = arg(i);
> > >> > >> > > >> >     }
> > >> > >> > > >> >     newArr
> > >> > >> > > >> >   }
> > >> > >> > > >> >
> > >> > >> > > >> >
> > >> > >> > > >> > Thanks & Regards
> > >> > >> > > >> > Parth Khatwani
> > >> > >> > > >> >
> > >> > >> > > >> >
> > >> > >> > > >> >
> > >> > >> > > >> > On Mon, Apr 3, 2017 at 7:37 PM, KHATWANI PARTH BHARAT <
> > >> > >> > > >> > h2016...@pilani.bits-pilani.ac.in> wrote:
> > >> > >> > > >> >
> > >> > >> > > >> > >
> > >> > >> > > >> > > ---------- Forwarded message ----------
> > >> > >> > > >> > > From: Dmitriy Lyubimov <dlie...@gmail.com>
> > >> > >> > > >> > > Date: Fri, Mar 31, 2017 at 11:34 PM
> > >> > >> > > >> > > Subject: Re: Trying to write the KMeans Clustering
> Using
> > >> > >> "Apache
> > >> > >> > > >> Mahout
> > >> > >> > > >> > > Samsara"
> > >> > >> > > >> > > To: "dev@mahout.apache.org" <dev@mahout.apache.org>
> > >> > >> > > >> > >
> > >> > >> > > >> > >
> > >> > >> > > >> > > ps1 this assumes row-wise construction of A based on
> > >> training
> > >> > >> set
> > >> > >> > > of m
> > >> > >> > > >> > > n-dimensional points.
> > >> > >> > > >> > > ps2 since we are doing multiple passes over A it may
> > make
> > >> > >> sense to
> > >> > >> > > >> make
> > >> > >> > > >> > > sure it is committed to spark cache (by using
> checkpoint
> > >> > api),
> > >> > >> if
> > >> > >> > > >> spark
> > >> > >> > > >> > is
> > >> > >> > > >> > > used
> > >> > >> > > >> > >
> > >> > >> > > >> > > On Fri, Mar 31, 2017 at 10:53 AM, Dmitriy Lyubimov <
> > >> > >> > > dlie...@gmail.com
> > >> > >> > > >> >
> > >> > >> > > >> > > wrote:
> > >> > >> > > >> > >
> > >> > >> > > >> > > > here is the outline. For details of APIs, please
> refer
> > >> to
> > >> > >> > samsara
> > >> > >> > > >> > manual
> > >> > >> > > >> > > > [2], i will not be be repeating it.
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > Assume your training data input is m x n matrix A.
> For
> > >> > >> > simplicity
> > >> > >> > > >> let's
> > >> > >> > > >> > > > assume it's a DRM with int row keys, i.e.,
> > DrmLike[Int].
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > Initialization:
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > First, classic k-means starts by selecting initial
> > >> > clusters,
> > >> > >> by
> > >> > >> > > >> > sampling
> > >> > >> > > >> > > > them out. You can do that by using sampling api [1],
> > >> thus
> > >> > >> > forming
> > >> > >> > > a
> > >> > >> > > >> k
> > >> > >> > > >> > x n
> > >> > >> > > >> > > > in-memory matrix C (current centroids). C is
> therefore
> > >> of
> > >> > >> > Mahout's
> > >> > >> > > >> > Matrix
> > >> > >> > > >> > > > type.
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > You the proceed by alternating between cluster
> > >> assignments
> > >> > >> and
> > >> > >> > > >> > > > recompupting centroid matrix C till convergence
> based
> > on
> > >> > some
> > >> > >> > test
> > >> > >> > > >> or
> > >> > >> > > >> > > > simply limited by epoch count budget, your choice.
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > Cluster assignments: here, we go over current
> > generation
> > >> > of A
> > >> > >> > and
> > >> > >> > > >> > > > recompute centroid indexes for each row in A. Once
> we
> > >> > >> recompute
> > >> > >> > > >> index,
> > >> > >> > > >> > we
> > >> > >> > > >> > > > put it into the row key . You can do that by
> assigning
> > >> > >> centroid
> > >> > >> > > >> indices
> > >> > >> > > >> > > to
> > >> > >> > > >> > > > keys of A using operator mapblock() (details in [2],
> > >> [3],
> > >> > >> [4]).
> > >> > >> > > You
> > >> > >> > > >> > also
> > >> > >> > > >> > > > need to broadcast C in order to be able to access it
> > in
> > >> > >> > efficient
> > >> > >> > > >> > manner
> > >> > >> > > >> > > > inside mapblock() closure. Examples of that are
> plenty
> > >> > given
> > >> > >> in
> > >> > >> > > [2].
> > >> > >> > > >> > > > Essentially, in mapblock, you'd reform the row keys
> to
> > >> > >> reflect
> > >> > >> > > >> cluster
> > >> > >> > > >> > > > index in C. while going over A, you'd have a
> "nearest
> > >> > >> neighbor"
> > >> > >> > > >> problem
> > >> > >> > > >> > > to
> > >> > >> > > >> > > > solve for the row of A and centroids C. This is the
> > >> bulk of
> > >> > >> > > >> computation
> > >> > >> > > >> > > > really, and there are a few tricks there that can
> > speed
> > >> > this
> > >> > >> > step
> > >> > >> > > >> up in
> > >> > >> > > >> > > > both exact and approximate manner, but you can start
> > >> with a
> > >> > >> > naive
> > >> > >> > > >> > search.
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > Centroid recomputation:
> > >> > >> > > >> > > > once you assigned centroids to the keys of marix A,
> > >> you'd
> > >> > >> want
> > >> > >> > to
> > >> > >> > > >> do an
> > >> > >> > > >> > > > aggregating transpose of A to compute essentially
> > >> average
> > >> > of
> > >> > >> > row A
> > >> > >> > > >> > > grouped
> > >> > >> > > >> > > > by the centroid key. The trick is to do a
> computation
> > of
> > >> > >> (1|A)'
> > >> > >> > > >> which
> > >> > >> > > >> > > will
> > >> > >> > > >> > > > results in a matrix of the shape (Counts/sums of
> > cluster
> > >> > >> rows).
> > >> > >> > > >> This is
> > >> > >> > > >> > > the
> > >> > >> > > >> > > > part i find difficult to explain without a latex
> > >> graphics.
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > In Samsara, construction of (1|A)' corresponds to
> DRM
> > >> > >> expression
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > (1 cbind A).t (again, see [2]).
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > So when you compute, say,
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > B = (1 | A)',
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > then B is (n+1) x k, so each column contains a
> vector
> > >> > >> > > corresponding
> > >> > >> > > >> to
> > >> > >> > > >> > a
> > >> > >> > > >> > > > cluster 1..k. In such column, the first element
> would
> > >> be #
> > >> > of
> > >> > >> > > >> points in
> > >> > >> > > >> > > the
> > >> > >> > > >> > > > cluster, and the rest of it would correspond to sum
> of
> > >> all
> > >> > >> > points.
> > >> > >> > > >> So
> > >> > >> > > >> > in
> > >> > >> > > >> > > > order to arrive to an updated matrix C, we need to
> > >> collect
> > >> > B
> > >> > >> > into
> > >> > >> > > >> > memory,
> > >> > >> > > >> > > > and slice out counters (first row) from the rest of
> > it.
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > So, to compute C:
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > C <- B (2:,:) each row divided by B(1,:)
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > (watch out for empty clusters with 0 elements, this
> > will
> > >> > >> cause
> > >> > >> > > lack
> > >> > >> > > >> of
> > >> > >> > > >> > > > convergence and NaNs in the newly computed C).
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > This operation obviously uses subblocking and
> row-wise
> > >> > >> iteration
> > >> > >> > > >> over
> > >> > >> > > >> > B,
> > >> > >> > > >> > > > for which i am again making reference to [2].
> > >> > >> > > >> > > >
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > [1] https://github.com/apache/
> > >> > mahout/blob/master/math-scala/
> > >> > >> > > >> > > > src/main/scala/org/apache/maho
> > >> ut/math/drm/package.scala#
> > >> > L149
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > [2], Sasmara manual, a bit dated but viable,
> > >> > >> > http://apache.github
> > >> > >> > > .
> > >> > >> > > >> > > > io/mahout/doc/ScalaSparkBindings.html
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > [3] scaladoc, again, dated but largely viable for
> the
> > >> > >> purpose of
> > >> > >> > > >> this
> > >> > >> > > >> > > > exercise:
> > >> > >> > > >> > > > http://apache.github.io/mahout/0.10.1/docs/mahout-
> > math-
> > >> > >> > > >> scala/index.htm
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > [4] mapblock etc. http://apache.github.io/mahout
> > >> > >> > > >> /0.10.1/docs/mahout-
> > >> > >> > > >> > > > math-scala/index.html#org.apache.mahout.math.drm.
> > >> > RLikeDrmOps
> > >> > >> > > >> > > >
> > >> > >> > > >> > > > On Fri, Mar 31, 2017 at 9:54 AM, KHATWANI PARTH
> > BHARAT <
> > >> > >> > > >> > > > h2016...@pilani.bits-pilani.ac.in> wrote:
> > >> > >> > > >> > > >
> > >> > >> > > >> > > >> @Dmitriycan you please again tell me the approach
> to
> > >> move
> > >> > >> > ahead.
> > >> > >> > > >> > > >>
> > >> > >> > > >> > > >>
> > >> > >> > > >> > > >> Thanks
> > >> > >> > > >> > > >> Parth Khatwani
> > >> > >> > > >> > > >>
> > >> > >> > > >> > > >>
> > >> > >> > > >> > > >> On Fri, Mar 31, 2017 at 10:15 PM, KHATWANI PARTH
> > >> BHARAT <
> > >> > >> > > >> > > >> h2016...@pilani.bits-pilani.ac.in> wrote:
> > >> > >> > > >> > > >>
> > >> > >> > > >> > > >> > yes i am unable to figure out the way ahead.
> > >> > >> > > >> > > >> > Like how to create the augmented matrix A :=
> (0|D)
> > >> which
> > >> > >> you
> > >> > >> > > have
> > >> > >> > > >> > > >> > mentioned.
> > >> > >> > > >> > > >> >
> > >> > >> > > >> > > >> >
> > >> > >> > > >> > > >> > On Fri, Mar 31, 2017 at 10:10 PM, Dmitriy
> Lyubimov
> > <
> > >> > >> > > >> > dlie...@gmail.com
> > >> > >> > > >> > > >
> > >> > >> > > >> > > >> > wrote:
> > >> > >> > > >> > > >> >
> > >> > >> > > >> > > >> >> was my reply for your post on @user has been a
> bit
> > >> > >> > confusing?
> > >> > >> > > >> > > >> >>
> > >> > >> > > >> > > >> >> On Fri, Mar 31, 2017 at 8:40 AM, KHATWANI PARTH
> > >> BHARAT
> > >> > <
> > >> > >> > > >> > > >> >> h2016...@pilani.bits-pilani.ac.in> wrote:
> > >> > >> > > >> > > >> >>
> > >> > >> > > >> > > >> >> > Sir,
> > >> > >> > > >> > > >> >> > I am trying to write the kmeans clustering
> > >> algorithm
> > >> > >> using
> > >> > >> > > >> Mahout
> > >> > >> > > >> > > >> >> Samsara
> > >> > >> > > >> > > >> >> > but i am bit confused
> > >> > >> > > >> > > >> >> > about how to leverage Distributed Row Matrix
> for
> > >> the
> > >> > >> same.
> > >> > >> > > Can
> > >> > >> > > >> > > >> anybody
> > >> > >> > > >> > > >> >> help
> > >> > >> > > >> > > >> >> > me with same.
> > >> > >> > > >> > > >> >> >
> > >> > >> > > >> > > >> >> >
> > >> > >> > > >> > > >> >> >
> > >> > >> > > >> > > >> >> >
> > >> > >> > > >> > > >> >> >
> > >> > >> > > >> > > >> >> > Thanks
> > >> > >> > > >> > > >> >> > Parth Khatwani
> > >> > >> > > >> > > >> >> >
> > >> > >> > > >> > > >> >>
> > >> > >> > > >> > > >> >
> > >> > >> > > >> > > >> >
> > >> > >> > > >> > > >>
> > >> > >> > > >> > > >
> > >> > >> > > >> > > >
> > >> > >> > > >> > >
> > >> > >> > > >> > >
> > >> > >> > > >> >
> > >> > >> > > >>
> > >> > >> > > >
> > >> > >> > > >
> > >> > >> > >
> > >> > >> >
> > >> > >>
> > >> > >
> > >> > >
> > >> >
> > >>
> > >
> > >
> >
>

Reply via email to