Eric Berger
2021-Jul-05 15:15 UTC
[R] Some difficulties to use the apply command on an array
Hi Laurent, I am not sure how to get apply() to work but the following uses lapply() and returns the matrices in a list. lapply(1:3, FUN = function(i) diag( svd(x[i,,])$d )) HTH, Eric On Mon, Jul 5, 2021 at 5:56 PM Laurent Rhelp <LaurentRHelp at free.fr> wrote:> Dear R-Help, > > I have an array x made up of three matrices of 5 rows and 3 columns of > complex numbers (the complex numbers are not the problem) > > ## my array > x <- structure(c(5.6196790161893828+0i, 5.7565523942393364+0i, > 8.5242834298729342+0i, > 10.304766710160479+0i, 11.412967010108229+0i, > -2.6952197604866495-5.7324226520260237e-18i, > -3.8053698833683476-1.5535793240880411i, > -4.440850591952894-0.21277190153473785i, > -4.9049897326853316+0.22487294128201613i, > -4.6982778900868931-0.35986943359186585i, > -6.7722948827866034-1.8252881225149525e-16i, > -5.6864255243941733-0.82149125972147463i, > -2.5321753317962115-3.4309121438578525i, > 0.85377696343414344-4.3720244641138883i, > 6.3363344379954638-2.23654533694011i, > -2.6952197604866495+5.7324226520260237e-18i, > -3.8053698833683476+1.5535793240880411i, > -4.440850591952894+0.21277190153473785i, > -4.9049897326853316-0.22487294128201613i, > -4.6982778900868931+0.35986943359186585i, > 3.1683154084671417+0i, 5.397392162921844+0i, > 8.3085887222115922+0i, > 11.150391891976289+0i, 13.173434845070231+0i, > 3.7978840709983359+5.0735539531499429e-17i, > 3.0599215005995717-2.3669737981128267i, > 0.5951827523696811-3.2116907301709845i, > -1.7735244105472532-3.8366652813316566i, > -5.0558348297797169-2.6645747173403049i, > -6.7722948827866034+1.8252881225149525e-16i, > -5.6864255243941733+0.82149125972147463i, > -2.5321753317962115+3.4309121438578525i, > 0.85377696343414344+4.3720244641138883i, > 6.3363344379954638+2.23654533694011i, > 3.7978840709983359-5.0735539531499429e-17i, > 3.0599215005995717+2.3669737981128267i, > 0.5951827523696811+3.2116907301709845i, > -1.7735244105472532+3.8366652813316566i, > -5.0558348297797169+2.6645747173403049i, > 8.5581082281979697+0i, 8.6908832216086331+0i, > 12.394094469562258+0i, > 16.106350896659897+0i, 19.569513600539693+0i), .Dim > c(5L, 3L, > 3L)) > > str(x) > # cplx [1:5, 1:3, 1:3] 5.62+0i 5.76+0i 8.52+0i ... > > The dimensions (i,j,k) of my array are 5, 3, 3. For every value of i, I > am interested in the squared matrices made up of the j columns for all > the k indice. For a given value i I have to keep the row i for every k. > For example if i=1, I am interested by the matrix x[1,,] > ## > x[1,,] > > ## [,1] [,2] [,3] > ## [1,] 5.619679+0i -2.695220+0i -6.772295+0i > ## [2,] -2.695220-0i 3.168315+0i 3.797884-0i > ## [3,] -6.772295-0i 3.797884+0i 8.558108+0i > > Now, for every value of i, I want to calculate the SVD decomposition and > get the diagonal matrix created by the singular values. When I set the i > value it works: > diag( svd(x[1,,])$d ) > > # [,1] [,2] [,3] > # [1,] 15.73833 0.000000 0.0000000 > # [2,] 0.00000 1.502771 0.0000000 > # [3,] 0.00000 0.000000 0.1049992 > > > But when I try to do a loop on the i value it doesn't work: > > apply(x, c(2,3), FUN = function(x) diag( svd(x)$d )) > > > # [,1] [,2] [,3] > # [1,] Numeric,361 Numeric,81 Numeric,144 > # [2,] Numeric,81 Numeric,400 Numeric,81 > # [3,] Numeric,144 Numeric,81 Numeric,900 > > I do not understand how to do the apply on an array in order to get my > diagonals matrices. I think that I miss something about the > understanding of the array object. > > Thank you for your help > > Laurent > > > > > -- > L'absence de virus dans ce courrier ?lectronique a ?t? v?rifi?e par le > logiciel antivirus Avast. > https://www.avast.com/antivirus > > ______________________________________________ > R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > and provide commented, minimal, self-contained, reproducible code. >[[alternative HTML version deleted]]
Laurent Rhelp
2021-Jul-05 15:28 UTC
[R] Some difficulties to use the apply command on an array
Thank you very much Eric, I did not think to use lapply. Le 05/07/2021 ? 17:15, Eric Berger a ?crit?:> Hi?Laurent, > I am not sure how to get apply()? to work but the following uses > lapply() and returns the matrices in a list. > > lapply(1:3, FUN = function(i) diag( svd(x[i,,])$d )) > > HTH, > Eric > > On Mon, Jul 5, 2021 at 5:56 PM Laurent Rhelp <LaurentRHelp at free.fr > <mailto:LaurentRHelp at free.fr>> wrote: > > Dear R-Help, > > I have an array x made up of three matrices of 5 rows and 3 > columns of > complex numbers (the complex numbers are not the problem) > > ## my array > x <- structure(c(5.6196790161893828+0i, 5.7565523942393364+0i, > 8.5242834298729342+0i, > ?????????????? 10.304766710160479+0i, 11.412967010108229+0i, > -2.6952197604866495-5.7324226520260237e-18i, > ?????????????? -3.8053698833683476-1.5535793240880411i, > -4.440850591952894-0.21277190153473785i, > ?????????????? -4.9049897326853316+0.22487294128201613i, > -4.6982778900868931-0.35986943359186585i, > ?????????????? -6.7722948827866034-1.8252881225149525e-16i, > -5.6864255243941733-0.82149125972147463i, > ?????????????? -2.5321753317962115-3.4309121438578525i, > 0.85377696343414344-4.3720244641138883i, > ?????????????? 6.3363344379954638-2.23654533694011i, > -2.6952197604866495+5.7324226520260237e-18i, > ?????????????? -3.8053698833683476+1.5535793240880411i, > -4.440850591952894+0.21277190153473785i, > ?????????????? -4.9049897326853316-0.22487294128201613i, > -4.6982778900868931+0.35986943359186585i, > ?????????????? 3.1683154084671417+0i, 5.397392162921844+0i, > 8.3085887222115922+0i, > ?????????????? 11.150391891976289+0i, 13.173434845070231+0i, > 3.7978840709983359+5.0735539531499429e-17i, > ?????????????? 3.0599215005995717-2.3669737981128267i, > 0.5951827523696811-3.2116907301709845i, > ?????????????? -1.7735244105472532-3.8366652813316566i, > -5.0558348297797169-2.6645747173403049i, > ?????????????? -6.7722948827866034+1.8252881225149525e-16i, > -5.6864255243941733+0.82149125972147463i, > ?????????????? -2.5321753317962115+3.4309121438578525i, > 0.85377696343414344+4.3720244641138883i, > ?????????????? 6.3363344379954638+2.23654533694011i, > 3.7978840709983359-5.0735539531499429e-17i, > ?????????????? 3.0599215005995717+2.3669737981128267i, > 0.5951827523696811+3.2116907301709845i, > ?????????????? -1.7735244105472532+3.8366652813316566i, > -5.0558348297797169+2.6645747173403049i, > ?????????????? 8.5581082281979697+0i, 8.6908832216086331+0i, > 12.394094469562258+0i, > ?????????????? 16.106350896659897+0i, 19.569513600539693+0i), .Dim > c(5L, 3L, > 3L)) > > str(x) > #? cplx [1:5, 1:3, 1:3] 5.62+0i 5.76+0i 8.52+0i ... > > The dimensions (i,j,k) of my array are 5, 3, 3. For every value of > i, I > am interested in the squared matrices made up of the j columns for > all > the k indice. For a given value i I have to keep the row i for > every k. > For example if i=1, I am interested by the matrix x[1,,] > ## > x[1,,] > > ##? ??????????? [,1]???????? [,2]???????? [,3] > ## [1,]? 5.619679+0i -2.695220+0i -6.772295+0i > ## [2,] -2.695220-0i? 3.168315+0i? 3.797884-0i > ## [3,] -6.772295-0i? 3.797884+0i? 8.558108+0i > > Now, for every value of i, I want to calculate the SVD > decomposition and > get the diagonal matrix created by the singular values. When I set > the i > value it works: > diag( svd(x[1,,])$d ) > > # [,1]???? [,2]????? [,3] > # [1,] 15.73833 0.000000 0.0000000 > # [2,]? 0.00000 1.502771 0.0000000 > # [3,]? 0.00000 0.000000 0.1049992 > > > But when I try to do a loop on the i value it doesn't work: > > apply(x, c(2,3), FUN = function(x) diag( svd(x)$d )) > > > # [,1]??????? [,2]??????? [,3] > # [1,] Numeric,361 Numeric,81? Numeric,144 > # [2,] Numeric,81? Numeric,400 Numeric,81 > # [3,] Numeric,144 Numeric,81? Numeric,900 > > I do not understand how to do the apply on an array in order to > get my > diagonals matrices. I think that I miss something about the > understanding of the array object. > > Thank you for your help > > Laurent > > > > > -- > L'absence de virus dans ce courrier ?lectronique a ?t? v?rifi?e > par le logiciel antivirus Avast. > https://www.avast.com/antivirus <https://www.avast.com/antivirus> > > ______________________________________________ > R-help at r-project.org <mailto:R-help at r-project.org> mailing list -- > To UNSUBSCRIBE and more, see > https://stat.ethz.ch/mailman/listinfo/r-help > <https://stat.ethz.ch/mailman/listinfo/r-help> > PLEASE do read the posting guide > http://www.R-project.org/posting-guide.html > <http://www.R-project.org/posting-guide.html> > and provide commented, minimal, self-contained, reproducible code. >-- L'absence de virus dans ce courrier ?lectronique a ?t? v?rifi?e par le logiciel antivirus Avast. https://www.avast.com/antivirus [[alternative HTML version deleted]]
Jeff Newmiller
2021-Jul-05 15:31 UTC
[R] Some difficulties to use the apply command on an array
apply _always_ returns a matrix of vector results. That is, the result of each call to FUN may be a matrix, but a matrix is merely a vector with dimensions that are in this case ignored. So restore the dimensions on the result: array(apply(x, 1, FUN = function(x) diag( svd(x)$d )), dim=c(3,3,5)) On July 5, 2021 8:15:16 AM PDT, Eric Berger <ericjberger at gmail.com> wrote:>Hi Laurent, >I am not sure how to get apply() to work but the following uses >lapply() >and returns the matrices in a list. > >lapply(1:3, FUN = function(i) diag( svd(x[i,,])$d )) > >HTH, >Eric > >On Mon, Jul 5, 2021 at 5:56 PM Laurent Rhelp <LaurentRHelp at free.fr> >wrote: > >> Dear R-Help, >> >> I have an array x made up of three matrices of 5 rows and 3 columns >of >> complex numbers (the complex numbers are not the problem) >> >> ## my array >> x <- structure(c(5.6196790161893828+0i, 5.7565523942393364+0i, >> 8.5242834298729342+0i, >> 10.304766710160479+0i, 11.412967010108229+0i, >> -2.6952197604866495-5.7324226520260237e-18i, >> -3.8053698833683476-1.5535793240880411i, >> -4.440850591952894-0.21277190153473785i, >> -4.9049897326853316+0.22487294128201613i, >> -4.6982778900868931-0.35986943359186585i, >> -6.7722948827866034-1.8252881225149525e-16i, >> -5.6864255243941733-0.82149125972147463i, >> -2.5321753317962115-3.4309121438578525i, >> 0.85377696343414344-4.3720244641138883i, >> 6.3363344379954638-2.23654533694011i, >> -2.6952197604866495+5.7324226520260237e-18i, >> -3.8053698833683476+1.5535793240880411i, >> -4.440850591952894+0.21277190153473785i, >> -4.9049897326853316-0.22487294128201613i, >> -4.6982778900868931+0.35986943359186585i, >> 3.1683154084671417+0i, 5.397392162921844+0i, >> 8.3085887222115922+0i, >> 11.150391891976289+0i, 13.173434845070231+0i, >> 3.7978840709983359+5.0735539531499429e-17i, >> 3.0599215005995717-2.3669737981128267i, >> 0.5951827523696811-3.2116907301709845i, >> -1.7735244105472532-3.8366652813316566i, >> -5.0558348297797169-2.6645747173403049i, >> -6.7722948827866034+1.8252881225149525e-16i, >> -5.6864255243941733+0.82149125972147463i, >> -2.5321753317962115+3.4309121438578525i, >> 0.85377696343414344+4.3720244641138883i, >> 6.3363344379954638+2.23654533694011i, >> 3.7978840709983359-5.0735539531499429e-17i, >> 3.0599215005995717+2.3669737981128267i, >> 0.5951827523696811+3.2116907301709845i, >> -1.7735244105472532+3.8366652813316566i, >> -5.0558348297797169+2.6645747173403049i, >> 8.5581082281979697+0i, 8.6908832216086331+0i, >> 12.394094469562258+0i, >> 16.106350896659897+0i, 19.569513600539693+0i), .Dim >> c(5L, 3L, >> 3L)) >> >> str(x) >> # cplx [1:5, 1:3, 1:3] 5.62+0i 5.76+0i 8.52+0i ... >> >> The dimensions (i,j,k) of my array are 5, 3, 3. For every value of i, >I >> am interested in the squared matrices made up of the j columns for >all >> the k indice. For a given value i I have to keep the row i for every >k. >> For example if i=1, I am interested by the matrix x[1,,] >> ## >> x[1,,] >> >> ## [,1] [,2] [,3] >> ## [1,] 5.619679+0i -2.695220+0i -6.772295+0i >> ## [2,] -2.695220-0i 3.168315+0i 3.797884-0i >> ## [3,] -6.772295-0i 3.797884+0i 8.558108+0i >> >> Now, for every value of i, I want to calculate the SVD decomposition >and >> get the diagonal matrix created by the singular values. When I set >the i >> value it works: >> diag( svd(x[1,,])$d ) >> >> # [,1] [,2] [,3] >> # [1,] 15.73833 0.000000 0.0000000 >> # [2,] 0.00000 1.502771 0.0000000 >> # [3,] 0.00000 0.000000 0.1049992 >> >> >> But when I try to do a loop on the i value it doesn't work: >> >> apply(x, c(2,3), FUN = function(x) diag( svd(x)$d )) >> >> >> # [,1] [,2] [,3] >> # [1,] Numeric,361 Numeric,81 Numeric,144 >> # [2,] Numeric,81 Numeric,400 Numeric,81 >> # [3,] Numeric,144 Numeric,81 Numeric,900 >> >> I do not understand how to do the apply on an array in order to get >my >> diagonals matrices. I think that I miss something about the >> understanding of the array object. >> >> Thank you for your help >> >> Laurent >> >> >> >> >> -- >> L'absence de virus dans ce courrier ?lectronique a ?t? v?rifi?e par >le >> logiciel antivirus Avast. >> https://www.avast.com/antivirus >> >> ______________________________________________ >> R-help at r-project.org mailing list -- To UNSUBSCRIBE and more, see >> 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 mailing list -- To UNSUBSCRIBE and more, see >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.-- Sent from my phone. Please excuse my brevity.