Mapper for tensor product domains

Constructs a row-wise Kronecker product mapping of linear/affine mappers. Any offset in sub-mappers is added into a combined offset. Only linear/affine sub-mappers are allowed.

Usage

bm_multi(mappers)

bru_mapper_multi(mappers)

# S3 method for class 'bm_multi'
ibm_n(mapper, inla_f = FALSE, multi = FALSE, ...)

# S3 method for class 'bm_multi'
ibm_n_output(mapper, input, ...)

# S3 method for class 'bm_multi'
ibm_values(mapper, inla_f = FALSE, multi = FALSE, ...)

# S3 method for class 'bm_multi'
ibm_is_linear(mapper, multi = FALSE, ...)

# S3 method for class 'bm_multi'
ibm_jacobian(
  mapper,
  input,
  state = NULL,
  inla_f = FALSE,
  multi = FALSE,
  ...,
  sub_A = NULL
)

# S3 method for class 'bm_multi'
ibm_linear(mapper, input, state, inla_f = FALSE, ...)

# S3 method for class 'bm_multi'
ibm_eval(
  mapper,
  input,
  state = NULL,
  inla_f = FALSE,
  ...,
  jacobian = NULL,
  pre_A = deprecated()
)

# S3 method for class 'bm_multi'
ibm_invalid_output(mapper, input, state, inla_f = FALSE, multi = FALSE, ...)

# S3 method for class 'bm_multi'
x[i, drop = TRUE]

# S3 method for class 'bru_mapper_multi'
x[i, drop = TRUE]

# S3 method for class 'bm_multi'
ibm_names(mapper)

# S3 method for class 'bm_multi'
ibm_names(mapper) <- value

# S3 method for class 'bru_mapper_multi'
ibm_names(mapper) <- value

Arguments

mappers

A list of bru_mapper objects

mapper

A mapper S3 object, inheriting from bru_mapper.

inla_f

logical; when TRUE for ibm_n() and ibm_values(), the result must be compatible with the INLA::f(...) and corresponding INLA::inla.stack(...) constructions. For ibm_{eval,jacobian,linear}, the input interpretation may be different. Implementations do not normally need to do anything different, except for mappers of the type needed for hidden multicomponent models such as "bym2", which can be handled by bm_collect.

multi

logical; If TRUE (or positive), recurse one level into sub-mappers

...

Arguments passed on to other methods

input

Data input for the mapper.

state

A vector of latent state values for the mapping, of length ibm_n(mapper, inla_f = FALSE)

sub_A

Internal; precomputed Jacobian matrices.

jacobian

For ibm_eval() methods, an optional pre-computed Jacobian, typically supplied by internal methods that already have the Jacobian.

pre_A

in favour of jacobian.

x

object from which to extract element(s)

i

indices specifying element(s) to extract

drop

logical; For [.bm_multi, whether to extract an individual mapper when i identifies a single element. If FALSE, a list of sub-mappers is returned (suitable e.g. for creating a new bm_multi object). Default: TRUE

value

a character vector of up to the same length as the number of mappers in the multi-mapper x

Value

• [-indexing a bm_multi extracts a subset bm_multi object (for drop FALSE) or an individual sub-mapper (for drop TRUE, and i identifies a single element)

Methods (by generic)

• ibm_jacobian(bm_multi): Accepts a list with named entries, or a list with unnamed but ordered elements. The names must match the sub-mappers, see ibm_names.bm_multi(). Each list element should take a format accepted by the corresponding sub-mapper. In case each element is a vector, the input can be given as a data.frame with named columns, a matrix with named columns, or a matrix with unnamed but ordered columns.

• ibm_invalid_output(bm_multi): Accepts a list with named entries, or a list with unnamed but ordered elements. The names must match the sub-mappers, see ibm_names.bm_multi(). Each list element should take a format accepted by the corresponding sub-mapper. In case each element is a vector, the input can be given as a data.frame with named columns, a matrix with named columns, or a matrix with unnamed but ordered columns.

• ibm_names(bm_multi): Returns the names from the sub-mappers list

See also

bru_mapper, bru_mapper_generics

Other mappers: bm_aggregate(), bm_collect(), bm_const(), bm_factor(), bm_fmesher(), bm_harmonics(), bm_index(), bm_linear(), bm_logsumexp(), bm_marginal(), bm_matrix(), bm_mesh_B(), bm_pipe(), bm_repeat(), bm_scale(), bm_shift(), bm_sum(), bm_taylor(), bru_get_mapper(), bru_mapper(), bru_mapper.fm_mesh_1d(), bru_mapper.fm_mesh_2d(), bru_mapper_generics

Examples

(m <- bm_multi(list(a = bm_index(2), b = bm_index(3))))
#> multi(a = index, b = index)
ibm_eval2(m, list(a = c(1, 2, 1), b = c(1, 3, 2)), 1:6)
#> $offset
#> [1] 1 6 3
#> 
#> $jacobian
#> 3 x 6 sparse Matrix of class "dgCMatrix"
#>                 
#> [1,] 1 . . . . .
#> [2,] . . . . . 1
#> [3,] . . 1 . . .
#>