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ccar3

Canonical Correlation Analysis via Reduced Rank Regression

v0.1.0 · Sep 16, 2025 · MIT + file LICENSE
CRAN GitHub Mirror

Description

Canonical correlation analysis (CCA) via reduced-rank regression with support for regularization and cross-validation. Several methods for estimating CCA in high-dimensional settings are implemented. The first set of methods, cca_rrr() (and variants: cca_group_rrr() and cca_graph_rrr()), assumes that one dataset is high-dimensional and the other is low-dimensional, while the second, ecca() (for Efficient CCA) assumes that both datasets are high-dimensional. For both methods, standard l1 regularization as well as group-lasso regularization are available. cca_graph_rrr further supports total variation regularization when there is a known graph structure among the variables of the high-dimensional dataset. In this case, the loadings of the canonical directions of the high-dimensional dataset are assumed to be smooth on the graph. For more details see Donnat and Tuzhilina (2024) <doi:10.48550/arXiv.2405.19539> and Wu, Tuzhilina and Donnat (2025) <doi:10.48550/arXiv.2507.11160>.

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r-devel-linux-x86_64-debian-clang OK
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r-devel-macos-arm64 ERROR
r-devel-windows-x86_64 OK
r-oldrel-macos-arm64 OK
r-oldrel-macos-x86_64 OK
r-oldrel-windows-x86_64 OK
r-patched-linux-x86_64 OK
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Check details (18 non-OK)
OK r-devel-linux-x86_64-debian-clang

*


            

            

              

                WARNING
                r-devel-linux-x86_64-debian-gcc
              

              
dependencies in R code

              
Missing or unexported object: ‘CVXR::solve’

            

            

              

                ERROR
                r-devel-linux-x86_64-debian-gcc
              

              
tests

              
  Running ‘testthat.R’ [61s/77s]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
  > # This file is part of the standard setup for testthat.
  > # It is recommended that you do not modify it.
  > #
  > # Where should you do additional test configuration?
  > # Learn more about the roles of various files in:
  > # * https://r-pkgs.org/testing-design.html#sec-tests-files-overview
  > # * https://testthat.r-lib.org/articles/special-files.html
  > 
  > library(testthat)
  > library(ccar3)
  > 
  > test_check("ccar3")
  Loading required package: ggplot2
  Loading required package: lattice
  
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  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  
  Attaching package: 'Matrix'
  
  The following objects are masked from 'package:pracma':
  
      expm, lu, tril, triu
  
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Initial backend setup failed with error:  63 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  63 simultaneous processes spawned 
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Initial backend setup failed with error:  63 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  63 simultaneous processes spawned 
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Saving _problems/test-cca_group_rrr-79.R
  Initial backend setup failed with error:  63 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  63 simultaneous processes spawned 
  Initial backend setup failed with error:  63 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  63 simultaneous processes spawned 
  [1] "Done ADMM"
  Saving _problems/test-cca_rrr-70.R
  Initial backend setup failed with error:  63 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  63 simultaneous processes spawned 
  Initial backend setup failed with error:  63 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  63 simultaneous processes spawned 
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  
  iter: 10 delta: 0.001831906
  iter: 20 delta: 0.0002497733     ADMM converged in  28  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
       ADMM converged in  9  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  Initial backend setup failed with error:  63 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  63 simultaneous processes spawned 
  [ FAIL 2 | WARN 7 | SKIP 0 | PASS 112 ]
  
  ══ Failed tests ════════════════════════════════════════════════════════════════
  ── Error ('test-cca_group_rrr.R:76:3'): cca_group computes the same solutions across solvers ──
  Error in `CVXR::Variable(p, q)`: Variable name "5" must be a string.
  Backtrace:
      ▆
   1. └─ccar3::cca_group_rrr(...) at test-cca_group_rrr.R:76:3
   2.   └─ccar3:::solve_group_rrr_cvxr(X, tilde_Y, groups, lambda, thresh_0 = thresh_0)
   3.     └─CVXR::Variable(p, q)
   4.       └─cli::cli_abort("Variable name {.val {as.character(name)}} must be a string.")
   5.         └─rlang::abort(...)
  ── Error ('test-cca_rrr.R:68:3'): cca_rrr computes the same solutions across solvers ──
  Error in `CVXR::Variable(p, q)`: Variable name "10" must be a string.
  Backtrace:
      ▆
   1. └─ccar3::cca_rrr(...) at test-cca_rrr.R:68:3
   2.   └─ccar3:::solve_rrr_cvxr(X, tilde_Y, lambda, thresh_0 = thresh_0)
   3.     └─CVXR::Variable(p, q)
   4.       └─cli::cli_abort("Variable name {.val {as.character(name)}} must be a string.")
   5.         └─rlang::abort(...)
  
  [ FAIL 2 | WARN 7 | SKIP 0 | PASS 112 ]
  Error:
  ! Test failures.
  Execution halted

            

            

              

                WARNING
                r-devel-linux-x86_64-fedora-clang
              

              
dependencies in R code

              
Missing or unexported object: ‘CVXR::solve’

            

            

              

                ERROR
                r-devel-linux-x86_64-fedora-clang
              

              
tests

              
  Running ‘testthat.R’ [136s/179s]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
  > # This file is part of the standard setup for testthat.
  > # It is recommended that you do not modify it.
  > #
  > # Where should you do additional test configuration?
  > # Learn more about the roles of various files in:
  > # * https://r-pkgs.org/testing-design.html#sec-tests-files-overview
  > # * https://testthat.r-lib.org/articles/special-files.html
  > 
  > library(testthat)
  > library(ccar3)
  > 
  > test_check("ccar3")
  Loading required package: ggplot2
  Loading required package: lattice
  
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  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  
  Attaching package: 'Matrix'
  
  The following objects are masked from 'package:pracma':
  
      expm, lu, tril, triu
  
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Saving _problems/test-cca_group_rrr-79.R
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  [1] "Done ADMM"
  Saving _problems/test-cca_rrr-70.R
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  
  iter: 10 delta: 0.001831906
  iter: 20 delta: 0.0002497733     ADMM converged in  28  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
       ADMM converged in  9  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  [ FAIL 2 | WARN 7 | SKIP 0 | PASS 112 ]
  
  ══ Failed tests ════════════════════════════════════════════════════════════════
  ── Error ('test-cca_group_rrr.R:76:3'): cca_group computes the same solutions across solvers ──
  Error in `CVXR::Variable(p, q)`: Variable name "5" must be a string.
  Backtrace:
      ▆
   1. └─ccar3::cca_group_rrr(...) at test-cca_group_rrr.R:76:3
   2.   └─ccar3:::solve_group_rrr_cvxr(X, tilde_Y, groups, lambda, thresh_0 = thresh_0)
   3.     └─CVXR::Variable(p, q)
   4.       └─cli::cli_abort("Variable name {.val {as.character(name)}} must be a string.")
   5.         └─rlang::abort(...)
  ── Error ('test-cca_rrr.R:68:3'): cca_rrr computes the same solutions across solvers ──
  Error in `CVXR::Variable(p, q)`: Variable name "10" must be a string.
  Backtrace:
      ▆
   1. └─ccar3::cca_rrr(...) at test-cca_rrr.R:68:3
   2.   └─ccar3:::solve_rrr_cvxr(X, tilde_Y, lambda, thresh_0 = thresh_0)
   3.     └─CVXR::Variable(p, q)
   4.       └─cli::cli_abort("Variable name {.val {as.character(name)}} must be a string.")
   5.         └─rlang::abort(...)
  
  [ FAIL 2 | WARN 7 | SKIP 0 | PASS 112 ]
  Error:
  ! Test failures.
  Execution halted

            

            

              

                WARNING
                r-devel-linux-x86_64-fedora-gcc
              

              
dependencies in R code

              
Missing or unexported object: ‘CVXR::solve’

            

            

              

                ERROR
                r-devel-linux-x86_64-fedora-gcc
              

              
tests

              
  Running ‘testthat.R’ [135s/170s]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
  > # This file is part of the standard setup for testthat.
  > # It is recommended that you do not modify it.
  > #
  > # Where should you do additional test configuration?
  > # Learn more about the roles of various files in:
  > # * https://r-pkgs.org/testing-design.html#sec-tests-files-overview
  > # * https://testthat.r-lib.org/articles/special-files.html
  > 
  > library(testthat)
  > library(ccar3)
  > 
  > test_check("ccar3")
  Loading required package: ggplot2
  Loading required package: lattice
  
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  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  
  Attaching package: 'Matrix'
  
  The following objects are masked from 'package:pracma':
  
      expm, lu, tril, triu
  
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Saving _problems/test-cca_group_rrr-79.R
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  [1] "Done ADMM"
  Saving _problems/test-cca_rrr-70.R
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  
  iter: 10 delta: 0.001831906
  iter: 20 delta: 0.0002497733     ADMM converged in  28  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
       ADMM converged in  9  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  Initial backend setup failed with error:  23 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  23 simultaneous processes spawned 
  [ FAIL 2 | WARN 7 | SKIP 0 | PASS 112 ]
  
  ══ Failed tests ════════════════════════════════════════════════════════════════
  ── Error ('test-cca_group_rrr.R:76:3'): cca_group computes the same solutions across solvers ──
  Error in `CVXR::Variable(p, q)`: Variable name "5" must be a string.
  Backtrace:
      ▆
   1. └─ccar3::cca_group_rrr(...) at test-cca_group_rrr.R:76:3
   2.   └─ccar3:::solve_group_rrr_cvxr(X, tilde_Y, groups, lambda, thresh_0 = thresh_0)
   3.     └─CVXR::Variable(p, q)
   4.       └─cli::cli_abort("Variable name {.val {as.character(name)}} must be a string.")
   5.         └─rlang::abort(...)
  ── Error ('test-cca_rrr.R:68:3'): cca_rrr computes the same solutions across solvers ──
  Error in `CVXR::Variable(p, q)`: Variable name "10" must be a string.
  Backtrace:
      ▆
   1. └─ccar3::cca_rrr(...) at test-cca_rrr.R:68:3
   2.   └─ccar3:::solve_rrr_cvxr(X, tilde_Y, lambda, thresh_0 = thresh_0)
   3.     └─CVXR::Variable(p, q)
   4.       └─cli::cli_abort("Variable name {.val {as.character(name)}} must be a string.")
   5.         └─rlang::abort(...)
  
  [ FAIL 2 | WARN 7 | SKIP 0 | PASS 112 ]
  Error:
  ! Test failures.
  Execution halted

            

            

              

                ERROR
                r-devel-macos-arm64
              

              
tests

              
  Running ‘testthat.R’ [53s/43s]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
  > # This file is part of the standard setup for testthat.
  > # It is recommended that you do not modify it.
  > #
  > # Where should you do additional test configuration?
  > # Learn more about the roles of various files in:
  > # * https://r-pkgs.org/testing-design.html#sec-tests-files-overview
  > # * https://testthat.r-lib.org/articles/special-files.html
  > 
  > library(testthat)
  > library(ccar3)
  > 
  > test_check("ccar3")
  Loading required package: ggplot2
  Loading required package: lattice
  
   Permutation  1  out of  50  123456789
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   Permutation  45  out of  50  123456789
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   Permutation  47  out of  50  123456789
   Permutation  48  out of  50  123456789
   Permutation  49  out of  50  123456789
   Permutation  50  out of  50  123456789
  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  
  Attaching package: 'Matrix'
  
  The following objects are masked from 'package:pracma':
  
      expm, lu, tril, triu
  
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Saving _problems/test-cca_graph_rrr_cv-49.R
  Saving _problems/test-cca_graph_rrr_cv-77.R
  Saving _problems/test-cca_group_rrr_cv-47.R
  Saving _problems/test-cca_group_rrr_cv-75.R
  [1] "Done ADMM"
  [1] "Done CVXR"
  Saving _problems/test-cca_rrr_cv-71.R
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  
  iter: 10 delta: 0.001831906
  iter: 20 delta: 0.0002497733     ADMM converged in  28  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
       ADMM converged in  9  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  [ FAIL 5 | WARN 0 | SKIP 0 | PASS 101 ]
  
  ══ Failed tests ════════════════════════════════════════════════════════════════
  ── Error ('test-cca_graph_rrr_cv.R:49:3'): cca_graph_rrr_cv can run in parallel ──
  Error in `unserialize(socklist[[n]])`: error reading from connection
  Backtrace:
      ▆
   1. └─ccar3::cca_graph_rrr_cv(...) at test-cca_graph_rrr_cv.R:49:3
   2.   └─foreach(lambda = lambdas, .combine = rbind) %dopar% ...
   3.     └─e$fun(obj, substitute(ex), parent.frame(), e$data)
   4.       └─parallel::clusterApplyLB(cl, argsList, evalWrapper)
   5.         └─parallel:::dynamicClusterApply(cl, fun, length(x), argfun)
   6.           └─parallel:::recvOneResult(cl)
   7.             ├─parallel::recvOneData(cl)
   8.             └─parallel:::recvOneData.SOCKcluster(cl)
   9.               └─base::unserialize(socklist[[n]])
  ── Error ('test-cca_graph_rrr_cv.R:77:3'): cca_graph_rrr_cv returns the correct answer ──
  Error in `unserialize(socklist[[n]])`: error reading from connection
  Backtrace:
      ▆
   1. └─ccar3::cca_graph_rrr_cv(...) at test-cca_graph_rrr_cv.R:77:3
   2.   └─foreach(lambda = lambdas, .combine = rbind) %dopar% ...
   3.     └─e$fun(obj, substitute(ex), parent.frame(), e$data)
   4.       └─parallel::clusterApplyLB(cl, argsList, evalWrapper)
   5.         └─parallel:::dynamicClusterApply(cl, fun, length(x), argfun)
   6.           └─parallel:::recvOneResult(cl)
   7.             ├─parallel::recvOneData(cl)
   8.             └─parallel:::recvOneData.SOCKcluster(cl)
   9.               └─base::unserialize(socklist[[n]])
  ── Error ('test-cca_group_rrr_cv.R:47:3'): cca_group_rrr_cv can run in parallel ──
  Error in `unserialize(socklist[[n]])`: error reading from connection
  Backtrace:
      ▆
   1. └─ccar3::cca_group_rrr_cv(...) at test-cca_group_rrr_cv.R:47:3
   2.   └─... %dopar% run_cv(lambda)
   3.     └─e$fun(obj, substitute(ex), parent.frame(), e$data)
   4.       └─parallel::clusterApplyLB(cl, argsList, evalWrapper)
   5.         └─parallel:::dynamicClusterApply(cl, fun, length(x), argfun)
   6.           └─parallel:::recvOneResult(cl)
   7.             ├─parallel::recvOneData(cl)
   8.             └─parallel:::recvOneData.SOCKcluster(cl)
   9.               └─base::unserialize(socklist[[n]])
  ── Error ('test-cca_group_rrr_cv.R:72:3'): cca_group_rrr_cv returns the correct answer ──
  Error in `unserialize(socklist[[n]])`: error reading from connection
  Backtrace:
      ▆
   1. └─ccar3::cca_rrr_cv(...) at test-cca_group_rrr_cv.R:72:3
   2.   └─foreach(lambda = lambdas, .combine = rbind) %dopar% ...
   3.     └─e$fun(obj, substitute(ex), parent.frame(), e$data)
   4.       └─parallel::clusterApplyLB(cl, argsList, evalWrapper)
   5.         └─parallel:::dynamicClusterApply(cl, fun, length(x), argfun)
   6.           └─parallel:::recvOneResult(cl)
   7.             ├─parallel::recvOneData(cl)
   8.             └─parallel:::recvOneData.SOCKcluster(cl)
   9.               └─base::unserialize(socklist[[n]])
  ── Error ('test-cca_rrr_cv.R:68:3'): cca_rrr_cv returns the correct answer ─────
  Error in `unserialize(socklist[[n]])`: error reading from connection
  Backtrace:
      ▆
   1. └─ccar3::cca_rrr_cv(...) at test-cca_rrr_cv.R:68:3
   2.   └─foreach(lambda = lambdas, .combine = rbind) %dopar% ...
   3.     └─e$fun(obj, substitute(ex), parent.frame(), e$data)
   4.       └─parallel::clusterApplyLB(cl, argsList, evalWrapper)
   5.         └─parallel:::dynamicClusterApply(cl, fun, length(x), argfun)
   6.           └─parallel:::recvOneResult(cl)
   7.             ├─parallel::recvOneData(cl)
   8.             └─parallel:::recvOneData.SOCKcluster(cl)
   9.               └─base::unserialize(socklist[[n]])
  
  [ FAIL 5 | WARN 0 | SKIP 0 | PASS 101 ]
  Error:
  ! Test failures.
  Execution halted

            

            

              

                OK
                r-devel-windows-x86_64
              

              
*

              

            

            

              

                OK
                r-oldrel-macos-arm64
              

              
*

              

            

            

              

                OK
                r-oldrel-macos-x86_64
              

              
*

              

            

            

              

                OK
                r-oldrel-windows-x86_64
              

              
*

              

            

            

              

                OK
                r-patched-linux-x86_64
              

              
*

              

            

            

              

                WARNING
                r-release-linux-x86_64
              

              
dependencies in R code

              
Missing or unexported object: ‘CVXR::solve’

            

            

              

                ERROR
                r-release-linux-x86_64
              

              
tests

              
  Running ‘testthat.R’ [87s/108s]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
  > # This file is part of the standard setup for testthat.
  > # It is recommended that you do not modify it.
  > #
  > # Where should you do additional test configuration?
  > # Learn more about the roles of various files in:
  > # * https://r-pkgs.org/testing-design.html#sec-tests-files-overview
  > # * https://testthat.r-lib.org/articles/special-files.html
  > 
  > library(testthat)
  > library(ccar3)
  > 
  > test_check("ccar3")
  Loading required package: ggplot2
  Loading required package: lattice
  
   Permutation  1  out of  50  123456789
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   Permutation  50  out of  50  123456789
  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  Estimating optimal shrinkage intensity lambda.var (variance vector): 1 
  
  Estimating optimal shrinkage intensity lambda (correlation matrix): 0.0479 
  
  
  Attaching package: 'Matrix'
  
  The following objects are masked from 'package:pracma':
  
      expm, lu, tril, triu
  
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Initial backend setup failed with error:  31 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  31 simultaneous processes spawned 
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Initial backend setup failed with error:  31 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  31 simultaneous processes spawned 
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Error in fold 1: a dimension is zero
  Error in fold 2: a dimension is zero
  Error in fold 3: a dimension is zero
  Saving _problems/test-cca_group_rrr-79.R
  Initial backend setup failed with error:  31 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  31 simultaneous processes spawned 
  Initial backend setup failed with error:  31 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  31 simultaneous processes spawned 
  [1] "Done ADMM"
  Saving _problems/test-cca_rrr-70.R
  Initial backend setup failed with error:  31 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  31 simultaneous processes spawned 
  Initial backend setup failed with error:  31 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  31 simultaneous processes spawned 
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  
  iter: 10 delta: 0.001831906
  iter: 20 delta: 0.0002497733     ADMM converged in  28  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
       ADMM converged in  9  iterations[1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  [1] "We have:"
  [1] 100   1   5
  [1] "--------------------------------------"
  [1] "Generating data ..."
  [1] "Number of non zeros is: 5"
  [1] "Data generated."
  [1] "--------------------------------------"
  Initial backend setup failed with error:  31 simultaneous processes spawned 
  Attempting fallback PSOCK backend...
  PSOCK setup also failed:  31 simultaneous processes spawned 
  [ FAIL 2 | WARN 7 | SKIP 0 | PASS 112 ]
  
  ══ Failed tests ════════════════════════════════════════════════════════════════
  ── Error ('test-cca_group_rrr.R:76:3'): cca_group computes the same solutions across solvers ──
  Error in `CVXR::Variable(p, q)`: Variable name "5" must be a string.
  Backtrace:
      ▆
   1. └─ccar3::cca_group_rrr(...) at test-cca_group_rrr.R:76:3
   2.   └─ccar3:::solve_group_rrr_cvxr(X, tilde_Y, groups, lambda, thresh_0 = thresh_0)
   3.     └─CVXR::Variable(p, q)
   4.       └─cli::cli_abort("Variable name {.val {as.character(name)}} must be a string.")
   5.         └─rlang::abort(...)
  ── Error ('test-cca_rrr.R:68:3'): cca_rrr computes the same solutions across solvers ──
  Error in `CVXR::Variable(p, q)`: Variable name "10" must be a string.
  Backtrace:
      ▆
   1. └─ccar3::cca_rrr(...) at test-cca_rrr.R:68:3
   2.   └─ccar3:::solve_rrr_cvxr(X, tilde_Y, lambda, thresh_0 = thresh_0)
   3.     └─CVXR::Variable(p, q)
   4.       └─cli::cli_abort("Variable name {.val {as.character(name)}} must be a string.")
   5.         └─rlang::abort(...)
  
  [ FAIL 2 | WARN 7 | SKIP 0 | PASS 112 ]
  Error:
  ! Test failures.
  Execution halted

            

            

              

                OK
                r-release-macos-arm64
              

              
*

              

            

            

              

                OK
                r-release-macos-x86_64
              

              
*

              

            

            

              

                OK
                r-release-windows-x86_64
              

              
*

              

            

          

        

      



      

      
      

        
Check History

        

          

            
              ERROR
              
                9 OK ·                 0 NOTE ·                 0 WARNING ·                 5 ERROR ·                 0 FAILURE              
              Mar 9, 2026
            
            

              

                

                  ERROR
                  r-devel-linux-x86_64-debian-gcc
                

                
dependencies in R code

                
Missing or unexported object: ‘CVXR::solve’

              

              

                

                  ERROR
                  r-devel-linux-x86_64-fedora-clang
                

                
dependencies in R code

                
Missing or unexported object: ‘CVXR::solve’

              

              

                

                  ERROR
                  r-devel-linux-x86_64-fedora-gcc
                

                
dependencies in R code

                
Missing or unexported object: ‘CVXR::solve’

              

              

                

                  ERROR
                  r-devel-macos-arm64
                

                
tests

                
  Running ‘testthat.R’ [53s/43s]
Running the tests in ‘tests/testthat.R’ failed.
Complete output:
  > # This file is part of the standard setup for testthat.
  > # It is recommended that you do not modify it.
  > #
  > # Where should you do additional test configuration?
  > # Learn more about the roles of various files in:
  > # * https://r-pkgs.org/testing-design.html#sec-tests-files-overview
  > # * https://testthat.r-lib.org/articles/special-files.html
  > 
  > library(testthat)
  > library(

              

              

                

                  ERROR
                  r-release-linux-x86_64
                

                
dependencies in R code

                
Missing or unexported object: ‘CVXR::solve’

              

            

          

        

      


      

      
      

        
Dependency Network

        

          
            

            
            
            Dependencies
            
            Reverse dependencies

            
            
            
            
            
            
            
            
            
            
            

            

            
            
              
              purrr
            
            
              
              magrittr
            
            
              
              tidyr
            
            
              
              dplyr
            
            
              
              foreach
            
            
              
              pracma
            
            
              
              corpcor
            
            
              
              matrixStats
            
            
              
              RSpectra
            
            
              
              caret
            

            

            
            
            ccar3
          
        

      


      
      

        
Version History

        

          

            new
            0.1.0
            Mar 9, 2026