ccar3
Canonical Correlation Analysis via Reduced Rank Regression
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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Check details (20 non-OK)
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
tests
Running ‘testthat.R’ [84s/104s]
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
Permutation 2 out of 50 123456789
Permutation 3 out of 50 123456789
Permutation 4 out of 50 123456789
Permutation 5 out of 50 123456789
Permutation 6 out of 50 123456789
Permutation 7 out of 50 123456789
Permutation 8 out of 50 123456789
Permutation 9 out of 50 123456789
Permutation 10 o
...[truncated]...
es 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
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
tests
Running ‘testthat.R’ [63s/72s]
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
Permutation 2 out of 50 123456789
Permutation 3 out of 50 123456789
Permutation 4 out of 50 123456789
Permutation 5 out of 50 123456789
Permutation 6 out of 50 123456789
Permutation 7 out of 50 123456789
Permutation 8 out of 50 123456789
Permutation 9 out of 50 123456789
Permutation 10 ou
...[truncated]...
es 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
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
tests
Running ‘testthat.R’ [143s/220s]
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
Permutation 2 out of 50 123456789
Permutation 3 out of 50 123456789
Permutation 4 out of 50 123456789
Permutation 5 out of 50 123456789
Permutation 6 out of 50 123456789
Permutation 7 out of 50 123456789
Permutation 8 out of 50 123456789
Permutation 9 out of 50 123456789
Permutation 10
...[truncated]...
es 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
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
tests
Running ‘testthat.R’ [138s/173s]
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
Permutation 2 out of 50 123456789
Permutation 3 out of 50 123456789
Permutation 4 out of 50 123456789
Permutation 5 out of 50 123456789
Permutation 6 out of 50 123456789
Permutation 7 out of 50 123456789
Permutation 8 out of 50 123456789
Permutation 9 out of 50 123456789
Permutation 10
...[truncated]...
es 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
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
tests
Running ‘testthat.R’ [28s/21s]
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
Permutation 2 out of 50 123456789
Permutation 3 out of 50 123456789
Permutation 4 out of 50 123456789
Permutation 5 out of 50 123456789
Permutation 6 out of 50 123456789
Permutation 7 out of 50 123456789
Permutation 8 out of 50 123456789
Permutation 9 out of 50 123456789
Permutation 10 ou
...[truncated]...
es 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 0 | SKIP 0 | PASS 112 ]
Error:
! Test failures.
Execution halted
dependencies in R code
Missing or unexported object: 'CVXR::solve'
tests
Running 'testthat.R' [87s]
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
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 'pa
...[truncated]...
es 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
dependencies in R code
Missing or unexported object: 'CVXR::solve'
tests
Running 'testthat.R' [121s]
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
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 'p
...[truncated]...
es 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
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
tests
Running ‘testthat.R’ [82s/100s]
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
Permutation 2 out of 50 123456789
Permutation 3 out of 50 123456789
Permutation 4 out of 50 123456789
Permutation 5 out of 50 123456789
Permutation 6 out of 50 123456789
Permutation 7 out of 50 123456789
Permutation 8 out of 50 123456789
Permutation 9 out of 50 123456789
Permutation 10 o
...[truncated]...
es 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
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
tests
Running ‘testthat.R’ [82s/101s]
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
Permutation 2 out of 50 123456789
Permutation 3 out of 50 123456789
Permutation 4 out of 50 123456789
Permutation 5 out of 50 123456789
Permutation 6 out of 50 123456789
Permutation 7 out of 50 123456789
Permutation 8 out of 50 123456789
Permutation 9 out of 50 123456789
Permutation 10 o
...[truncated]...
es 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
dependencies in R code
Missing or unexported object: 'CVXR::solve'
tests
Running 'testthat.R' [88s]
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
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 'pa
...[truncated]...
es 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
Check History
ERROR 5 OK · 0 NOTE · 0 WARNING · 9 ERROR · 0 FAILURE Mar 10, 2026
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
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 ...[truncated]... 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
dependencies in R code
Missing or unexported object: 'CVXR::solve'
dependencies in R code
Missing or unexported object: ‘CVXR::solve’
dependencies in R code
Missing or unexported object: 'CVXR::solve'
dependencies in R code
Missing or unexported object: 'CVXR::solve'