[R] Determine the dimension-names of an element in an array in R

Poersching Poersching79 at web.de
Wed Jul 29 20:11:05 CEST 2009


Hey,
i have forgotten to generalize the code so

Correl<-Correl[1:4,,,]

must be

Correl<-Correl[1:length(c),,,]

it's because the comparison levels. I think you don't want the
correlation betweeen A1, B1, D1 and A2, C1, D1 ,
but between A1, B1, D1 and A1, C1, D1 or between A1, B1, D1 and A1, C2, D1.
So the "1:length(c)" writes only the correlation between the B and C out
of the whole correlation array.
That's also why the sequence in the second apply function is changed.

Regards Christian.

Poersching schrieb:
> Hey,
> I think I have a solution for your problem:
>
> Correl<-apply(DataArray_1,1:3, function(d1)
>   apply(DataArray_2,c(2,1,3), function(d) cor(d1,d))
> )
> Correl<-Correl[1:4,,,]
> dimnames(Correl)[[1]]<-c
> Correl<-aperm(Correl,c(2,3,1,4))
>
> This one should work. :-)
>
> Best Regards,
> Christian
>
> Sauvik De schrieb:
>   
>> Hi there,
>>
>> Thanks again for your reply. I know for-loop is always a solution to
>> my problem and I had already coded using for-loop. But the number of
>> levels for each dimension is large enough in actual problem and hence
>> it was time-consuming.
>> So, I was just wondering if there are any other alternative way-outs
>> to solving my problem. That's why I tried with apply functions
>> (sapply)assuming that this might work out faster even fractionally as
>> compared to for-loop.
>>
>> Cheers,
>> Sauvik
>>
>> On Mon, Jul 27, 2009 at 12:28 AM, Poersching <Poersching79 at web.de
>> <mailto:Poersching79 at web.de>> wrote:
>>
>>     Sauvik De schrieb:
>>     
>>>     Hi:
>>>     Lots of thanks for your valuable time!
>>>
>>>     But I am not sure how you would like to use the function in this
>>>     situation.
>>>
>>>     As I had mentioned that the first element of my output array
>>>     should be like:
>>>
>>>     cor(DataArray_1[dimnames(Correl)[[1]][1],dimnames(Correl)[[2]][1],dimnames(Correl)[[4]][1],],DataArray_2[dimnames(Correl)[[1]][1],dimnames(Correl)[[3]][1],dimnames(Correl)[[4]][1],],use="pairwise.complete.obs")
>>>
>>>     in my below code.
>>>
>>>     and
>>>
>>>     the output array of correlation I wish to get using "sapply" as
>>>     follows:
>>>
>>>     Correl = sapply(Correl,function(d)
>>>     cor(DataArray_1[...],DataArray_2[...],
>>>     use="pairwise.complete.obs"))
>>>
>>>     So it would be of great help if you could kindly specify how to
>>>     utilise your function "findIndex" in ...
>>>
>>>     Apologies for all this!
>>>
>>>     Thanks & Regards,
>>>     Sauvik
>>>
>>>       
>>     Hey,
>>     sorry, I haven't understood your problem last time, but now this
>>     solution should solve your problem, so I hope. :-)
>>     It's only a for to loop, but an apply function may work too. I
>>     will think about this, but for now...  ;-)
>>
>>     la<-length(a)
>>     lb<-length(b)
>>     lc<-length(c)
>>     ld<-length(d)
>>     for (ia in 1:la) {
>>       for (ib in 1:lb) {
>>         for (ic in 1:lc) {
>>           for (id in 1:ld) {
>>             Correl[ia,ib,ic,id]<-cor(
>>              DataArray_1[dimnames(Correl)[[1]][ia],
>>              dimnames(Correl)[[2]][ib],
>>              dimnames(Correl)[[4]][id],]
>>              ,
>>              DataArray_2[dimnames(Correl)[[1]][ia],
>>               dimnames(Correl)[[3]][ic],
>>               dimnames(Correl)[[4]][id],]
>>              ,
>>              use="pairwise.complete.obs")
>>           }
>>         }
>>       }
>>     }
>>     ## with function findIndex you can find the dimensions with
>>     ## i.e. cor values greater 0.5 or smaller -0.5, like:
>>     findIndex(Correl,Correl[Correl>0.5])
>>     findIndex(Correl,Correl[Correl<(-0.5)])
>>
>>     I have changed the code of the function findIndex in line which
>>     contents: el[j]<-which(is.element(data,element[j]))
>>
>>     Rigards,
>>     Christian
>>
>>     
>>>     On Sun, Jul 26, 2009 at 3:54 PM, Poersching<Poersching79 at web.de
>>>     <mailto:Poersching79 at web.de>> wrote:
>>>     > Sauvik De schrieb:
>>>     >
>>>     > Hi Gabor:
>>>     > Many thanks for your prompt reply!
>>>     > The code is fine. But I need it in more general form as I had
>>>     mentioned that
>>>     > I need to input any 0 to find its dimension-names.
>>>     >
>>>     > Actually, I was using "sapply" to calculate correlation and
>>>     this idea was
>>>     > required in the middle of correlation calculation.
>>>     > I am providing the way I tried my calculation.
>>>     >
>>>     > a= c("A1","A2","A3","A4","A5")
>>>     > b= c("B1","B2","B3")
>>>     > c= c("C1","C2","C3","C4")
>>>     > d= c("D1","D2")
>>>     > e= c("E1","E2","E3","E4","E5","E6","E7","E8")
>>>     >
>>>     > DataArray_1 = array(c(rnorm(240)),dim=c(length(a),length(b),
>>>     > length(d),length(e)),dimnames=list(a,b,d,e))
>>>     > DataArray_2 = array(c(rnorm(320)), dim=c(length(a),length(c),
>>>     > length(d),length(e)),dimnames=list(a,c,d,e))
>>>     >
>>>     > #Defining an empty array which will contain the correlation
>>>     values (output
>>>     > array)
>>>     > Correl = array(NA, dim=c(length(a),length(b),
>>>     > length(c),length(d)),dimnames=list(a,b,c,d))
>>>     >
>>>     > #Calculating Correlation between attributes b & c over values of e
>>>     > Correl = sapply(Correl,function(d)
>>>     cor(DataArray_1[...],DataArray_2[...],
>>>     > use="pairwise.complete.obs"))
>>>     >
>>>     > This is where I get stuck.
>>>     > In the above, d is acting as an element in the "Correl" array.
>>>     Hence I need
>>>     > to get the dimension-names for d.
>>>     >
>>>     > #The first element of Correl will be:
>>>     >
>>>     cor(DataArray_1[dimnames(Correl)[[1]][1],dimnames(Correl)[[2]][1],dimnames(Correl)[[4]][1],],DataArray_2[dimnames(Correl)[[1]][1],dimnames(Correl)[[3]][1],dimnames(Correl)[[4]][1],],use="pairwise.complete.obs")
>>>     >
>>>     > So my problem boils down to extracting the dim-names in terms
>>>     of element(d)
>>>     > and not in terms of Correl (that I have mentioned as "..." in
>>>     the above
>>>     > code)
>>>     >
>>>     > My sincere thanks for your valuable time & suggestions.
>>>     >
>>>     > Many Thanks & Kind Regards,
>>>     > Sauvik
>>>     >
>>>     >
>>>     > On Sun, Jul 26, 2009 at 5:26 AM, Gabor Grothendieck
>>>     <ggrothendieck at gmail.com <mailto:ggrothendieck at gmail.com>
>>>     >  
>>>     >
>>>     > wrote:
>>>     >    
>>>     >
>>>     >  
>>>     >
>>>     > Try this:
>>>     >
>>>     >    
>>>     >
>>>     > ix <- c(1, 3, 4, 2)
>>>     > mapply("[", dimnames(mydatastructure), ix)
>>>     >      
>>>     >
>>>     > [1] "S1" "T3" "U4" "V2"
>>>     >
>>>     >
>>>     > On Sat, Jul 25, 2009 at 5:12 PM, Sauvik
>>>     De<sauvik.stat at gmail.com <mailto:sauvik.stat at gmail.com>> wrote:
>>>     >    
>>>     >
>>>     > Hi:
>>>     > How can I extract the dimension-names of a pre-defined element in a
>>>     > multidimensional array in R ?
>>>     >
>>>     > A toy example is provided below:
>>>     > I have a 4-dimensional array with each dimension having certain
>>>     length.
>>>     >      
>>>     >
>>>     > In
>>>     >    
>>>     >
>>>     > the below example, "mydatastructure" explains the structure of
>>>     my data.
>>>     >
>>>     > mydatastructure = array(0,
>>>     >      
>>>     >
>>>     > dim=c(length(b),length(z),length(x),length(d)),
>>>     >    
>>>     >
>>>     > dimnames=list(b,z,x,d))
>>>     >
>>>     > where,
>>>     > b=c("S1","S2","S3","S4","S5")
>>>     > z=c("T1","T2", "T3")
>>>     > x=c("U1","U2","U3","U4")
>>>     > d=c("V1","V2")
>>>     >
>>>     > Clearly, "mydatastructure" contains many 0's.
>>>     > Now how can I get the dimension-names of any particular 0 ?
>>>     > That is, my input should be a particular 0 in the array
>>>     "mydatastructure"
>>>     > (Suppose this 0 corresponds to S1,T3,U4 & V2 in the array). Then my
>>>     >      
>>>     >
>>>     > output
>>>     >    
>>>     >
>>>     > should be S1,T3,U4 & V2.
>>>     >
>>>     > The function "dimnames" didn't help me with the solution.
>>>     > Any idea will greatly be appreciated.
>>>     >
>>>     > Thanks for your time!
>>>     >
>>>     > Kind Regards,
>>>     > Sauvik
>>>     >
>>>     >        [[alternative HTML version deleted]]
>>>     >
>>>     > ______________________________________________
>>>     > R-help at r-project.org <mailto:R-help at r-project.org> mailing list
>>>     > https://stat.ethz.ch/mailman/listinfo/r-help
>>>     > PLEASE do read the posting guide
>>>     >      
>>>     >
>>>     > http://www.R-project.org/posting-guide.html
>>>     >    
>>>     >
>>>     > and provide commented, minimal, self-contained, reproducible code.
>>>     >
>>>     >      
>>>     >
>>>     > [[alternative HTML version deleted]]
>>>     >
>>>     > ______________________________________________
>>>     > R-help at r-project.org <mailto:R-help at r-project.org> mailing list
>>>     > https://stat.ethz.ch/mailman/listinfo/r-help
>>>     > PLEASE do read the posting guide
>>>     http://www.R-project.org/posting-guide.html
>>>     > and provide commented, minimal, self-contained, reproducible code.
>>>     >
>>>     >  
>>>     >
>>>     > Hey,
>>>     >
>>>     > I have spend some time to write a function, which should
>>>     fulfill your needs.
>>>     > so i hope ;-)
>>>     >
>>>     > findIndex<-function(data,element) {
>>>     >   ld<-length(data)
>>>     >   el<-which(is.element(data,element))
>>>     >   lel<-length(el)
>>>     >   ndim<-length(dim(data))
>>>     >   ind<-array(,dim=c(lel,ndim),dimnames=list(el,1:ndim))
>>>     >   precomma<-""
>>>     >   tempdata<-data
>>>     >   tempel<-el
>>>     >   for (j in 1:lel) {
>>>     >     data<-tempdata
>>>     >     el<-tempel
>>>     >     ld<-length(data)
>>>     >     for (i in ndim:1) {
>>>     >       ratio<-el[j]/(ld/dim(data)[i])
>>>     >       if (ratio-trunc(ratio)>0) {
>>>     >         ind[j,i]<-trunc(ratio)+1
>>>     >       } else {
>>>     >         ind[j,i]<-trunc(ratio)
>>>     >       }
>>>     >       if (length(dim(data))>1) {
>>>     >         k<-1
>>>     >         while (k>=1 & k<=(i-1)) {
>>>     >           precomma<-paste(precomma,",",sep="")
>>>     >           k<-k+1
>>>     >         }
>>>     >        
>>>     >
>>>     data<-as.array(eval(parse(text=paste("data[",precomma,ind[j,i],"]",sep=""))))
>>>     >         precomma<-""
>>>     >         ld<-length(data)
>>>     >         el[j]<-which(is.element(data,element[j]))
>>>
>>>     >       }
>>>     >     }
>>>     >   }
>>>     >   return(ind)
>>>     > }
>>>     >
>>>     > Regards,
>>>     > Christian Porsche
>>>     >
>>>
>>>       
>>     
>
> ______________________________________________
> R-help at r-project.org mailing list
> https://stat.ethz.ch/mailman/listinfo/r-help
> PLEASE do read the posting guide http://www.R-project.org/posting-guide.html
> and provide commented, minimal, self-contained, reproducible code.
>
>   




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