Remove isolated elements of a vector












11















I have a vector of integers and I want to filter it by eliminating the components that are "isolated".
What do I mean by "isolated"? those components that does not lie in an 4-neighbourhood of other component.
The components in the vector are ordered increasingly, and there are no repetitions.



For example if I have c(1,2,3,8,15,16,17) then I need to eliminate 8 because is not in a 4-neighbourhood of other element.



I've tried applying



   for (p in 1:(length(index)-2))
if((index[p+1]>3+index[p])&(index[p+2]>3+index[p+1])){index[p+1]<-0}


index<-index[index!=0]


where index is my vector of interest, but there's some problem with the logical condition.
Could you please give me some hints?



Thanks in advance.










share|improve this question





























    11















    I have a vector of integers and I want to filter it by eliminating the components that are "isolated".
    What do I mean by "isolated"? those components that does not lie in an 4-neighbourhood of other component.
    The components in the vector are ordered increasingly, and there are no repetitions.



    For example if I have c(1,2,3,8,15,16,17) then I need to eliminate 8 because is not in a 4-neighbourhood of other element.



    I've tried applying



       for (p in 1:(length(index)-2))
    if((index[p+1]>3+index[p])&(index[p+2]>3+index[p+1])){index[p+1]<-0}


    index<-index[index!=0]


    where index is my vector of interest, but there's some problem with the logical condition.
    Could you please give me some hints?



    Thanks in advance.










    share|improve this question



























      11












      11








      11








      I have a vector of integers and I want to filter it by eliminating the components that are "isolated".
      What do I mean by "isolated"? those components that does not lie in an 4-neighbourhood of other component.
      The components in the vector are ordered increasingly, and there are no repetitions.



      For example if I have c(1,2,3,8,15,16,17) then I need to eliminate 8 because is not in a 4-neighbourhood of other element.



      I've tried applying



         for (p in 1:(length(index)-2))
      if((index[p+1]>3+index[p])&(index[p+2]>3+index[p+1])){index[p+1]<-0}


      index<-index[index!=0]


      where index is my vector of interest, but there's some problem with the logical condition.
      Could you please give me some hints?



      Thanks in advance.










      share|improve this question
















      I have a vector of integers and I want to filter it by eliminating the components that are "isolated".
      What do I mean by "isolated"? those components that does not lie in an 4-neighbourhood of other component.
      The components in the vector are ordered increasingly, and there are no repetitions.



      For example if I have c(1,2,3,8,15,16,17) then I need to eliminate 8 because is not in a 4-neighbourhood of other element.



      I've tried applying



         for (p in 1:(length(index)-2))
      if((index[p+1]>3+index[p])&(index[p+2]>3+index[p+1])){index[p+1]<-0}


      index<-index[index!=0]


      where index is my vector of interest, but there's some problem with the logical condition.
      Could you please give me some hints?



      Thanks in advance.







      r if-statement vector






      share|improve this question















      share|improve this question













      share|improve this question




      share|improve this question








      edited Feb 25 at 8:57







      RScrlli

















      asked Feb 25 at 8:42









      RScrlliRScrlli

      13511




      13511
























          2 Answers
          2






          active

          oldest

          votes


















          6














          You can achieve it with a combination of outer and colSums, i.e.



          x[colSums(abs(outer(x, x, `-`)) >= 4) == length(x)-1]
          #[1] 8


          To eliminate the values, we can do,



          i1 <- colSums(outer(x, x, FUN = function(i, j) abs(i - j) >= 4)) == length(x) - 1
          x[!i1]
          #[1] 1 2 3 15 16 17


          where,



          x <- c(1,2,3,8,15,16,17)





          share|improve this answer

































            5














            We keep values where preceding or next difference is lower or equal to 4 :



            v <- c(1,2,3,8,15,16,17)
            v[c(FALSE, diff(v) <= 4) | c(diff(v) <= 4, FALSE)]





            share|improve this answer





















            • 2





              Neat, but since the vector is assumed to be ordered, you can even remove the abs :)

              – niko
              Feb 25 at 13:23











            • @nate Done thanks !

              – Clemsang
              Feb 25 at 14:04












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            2 Answers
            2






            active

            oldest

            votes








            2 Answers
            2






            active

            oldest

            votes









            active

            oldest

            votes






            active

            oldest

            votes









            6














            You can achieve it with a combination of outer and colSums, i.e.



            x[colSums(abs(outer(x, x, `-`)) >= 4) == length(x)-1]
            #[1] 8


            To eliminate the values, we can do,



            i1 <- colSums(outer(x, x, FUN = function(i, j) abs(i - j) >= 4)) == length(x) - 1
            x[!i1]
            #[1] 1 2 3 15 16 17


            where,



            x <- c(1,2,3,8,15,16,17)





            share|improve this answer






























              6














              You can achieve it with a combination of outer and colSums, i.e.



              x[colSums(abs(outer(x, x, `-`)) >= 4) == length(x)-1]
              #[1] 8


              To eliminate the values, we can do,



              i1 <- colSums(outer(x, x, FUN = function(i, j) abs(i - j) >= 4)) == length(x) - 1
              x[!i1]
              #[1] 1 2 3 15 16 17


              where,



              x <- c(1,2,3,8,15,16,17)





              share|improve this answer




























                6












                6








                6







                You can achieve it with a combination of outer and colSums, i.e.



                x[colSums(abs(outer(x, x, `-`)) >= 4) == length(x)-1]
                #[1] 8


                To eliminate the values, we can do,



                i1 <- colSums(outer(x, x, FUN = function(i, j) abs(i - j) >= 4)) == length(x) - 1
                x[!i1]
                #[1] 1 2 3 15 16 17


                where,



                x <- c(1,2,3,8,15,16,17)





                share|improve this answer















                You can achieve it with a combination of outer and colSums, i.e.



                x[colSums(abs(outer(x, x, `-`)) >= 4) == length(x)-1]
                #[1] 8


                To eliminate the values, we can do,



                i1 <- colSums(outer(x, x, FUN = function(i, j) abs(i - j) >= 4)) == length(x) - 1
                x[!i1]
                #[1] 1 2 3 15 16 17


                where,



                x <- c(1,2,3,8,15,16,17)






                share|improve this answer














                share|improve this answer



                share|improve this answer








                edited Feb 25 at 8:58

























                answered Feb 25 at 8:52









                SotosSotos

                31.1k51741




                31.1k51741

























                    5














                    We keep values where preceding or next difference is lower or equal to 4 :



                    v <- c(1,2,3,8,15,16,17)
                    v[c(FALSE, diff(v) <= 4) | c(diff(v) <= 4, FALSE)]





                    share|improve this answer





















                    • 2





                      Neat, but since the vector is assumed to be ordered, you can even remove the abs :)

                      – niko
                      Feb 25 at 13:23











                    • @nate Done thanks !

                      – Clemsang
                      Feb 25 at 14:04
















                    5














                    We keep values where preceding or next difference is lower or equal to 4 :



                    v <- c(1,2,3,8,15,16,17)
                    v[c(FALSE, diff(v) <= 4) | c(diff(v) <= 4, FALSE)]





                    share|improve this answer





















                    • 2





                      Neat, but since the vector is assumed to be ordered, you can even remove the abs :)

                      – niko
                      Feb 25 at 13:23











                    • @nate Done thanks !

                      – Clemsang
                      Feb 25 at 14:04














                    5












                    5








                    5







                    We keep values where preceding or next difference is lower or equal to 4 :



                    v <- c(1,2,3,8,15,16,17)
                    v[c(FALSE, diff(v) <= 4) | c(diff(v) <= 4, FALSE)]





                    share|improve this answer















                    We keep values where preceding or next difference is lower or equal to 4 :



                    v <- c(1,2,3,8,15,16,17)
                    v[c(FALSE, diff(v) <= 4) | c(diff(v) <= 4, FALSE)]






                    share|improve this answer














                    share|improve this answer



                    share|improve this answer








                    edited Feb 25 at 14:04

























                    answered Feb 25 at 9:01









                    ClemsangClemsang

                    802414




                    802414








                    • 2





                      Neat, but since the vector is assumed to be ordered, you can even remove the abs :)

                      – niko
                      Feb 25 at 13:23











                    • @nate Done thanks !

                      – Clemsang
                      Feb 25 at 14:04














                    • 2





                      Neat, but since the vector is assumed to be ordered, you can even remove the abs :)

                      – niko
                      Feb 25 at 13:23











                    • @nate Done thanks !

                      – Clemsang
                      Feb 25 at 14:04








                    2




                    2





                    Neat, but since the vector is assumed to be ordered, you can even remove the abs :)

                    – niko
                    Feb 25 at 13:23





                    Neat, but since the vector is assumed to be ordered, you can even remove the abs :)

                    – niko
                    Feb 25 at 13:23













                    @nate Done thanks !

                    – Clemsang
                    Feb 25 at 14:04





                    @nate Done thanks !

                    – Clemsang
                    Feb 25 at 14:04


















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