c(L$p[1:(K-1)], as.double(L$β), L$b)
},
- #TODO: compare with R version?
- #D <- diag(d) #matrix of ej vectors
- #Y * X
- #Y * ( t( apply(X, 1, function(row) row %o% row) ) - Reduce('+', lapply(1:d, function(j) as.double(D[j,] %o% D[j,])), rep(0, d*d)))
- #Y * ( t( apply(X, 1, function(row) row %o% row %*% row) ) - Reduce('+', lapply(1:d, function(j) ), rep(0, d*d*d)))
computeW = function(θ)
{
- #require(MASS)
+ #return (diag(c(rep(6,d), rep(3, d^2), rep(1,d^3))))
+ require(MASS)
dd <- d + d^2 + d^3
M <- Moments(θ)
Omega <- matrix( .C("Compute_Omega",
X=as.double(X), Y=as.double(Y), M=as.double(M),
pn=as.integer(n), pd=as.integer(d),
W=as.double(W), PACKAGE="morpheus")$W, nrow=dd, ncol=dd )
- W <<- MASS::ginv(Omega, tol=1e-4)
- NULL #avoid returning W
+ MASS::ginv(Omega)
},
Moments = function(θ)
"Gradient of f, dimension (K-1) + d*K + K = (d+2)*K - 1"
L <- expArgs(θ)
- -2 * t(grad_M(L)) %*% W %*% as.matrix((Mhat - Moments(L)))
+ -2 * t(grad_M(L)) %*% W %*% as.matrix(Mhat - Moments(L))
},
grad_M = function(θ)
stop("θ0: list")
if (is.null(θ0$β))
stop("At least θ0$β must be provided")
- if (!is.matrix(θ0$β) || any(is.na(θ0$β)) || ncol(θ0$β) != K)
- stop("θ0$β: matrix, no NA, ncol == K")
+ if (!is.matrix(θ0$β) || any(is.na(θ0$β))
+ || nrow(θ0$β) != d || ncol(θ0$β) != K)
+ {
+ stop("θ0$β: matrix, no NA, nrow = d, ncol = K")
+ }
if (is.null(θ0$p))
θ0$p = rep(1/K, K-1)
- else if (length(θ0$p) != K-1 || sum(θ0$p) > 1)
- stop("θ0$p should contain positive integers and sum to < 1")
- # Next test = heuristic to detect missing b (when matrix is called "beta")
- if (is.null(θ0$b) || all(θ0$b == θ0$β))
+ else if (!is.numeric(θ0$p) || length(θ0$p) != K-1
+ || any(is.na(θ0$p)) || sum(θ0$p) > 1)
+ {
+ stop("θ0$p: length K-1, no NA, positive integers, sum to <= 1")
+ }
+ if (is.null(θ0$b))
θ0$b = rep(0, K)
- else if (any(is.na(θ0$b)))
- stop("θ0$b cannot have missing values")
+ else if (!is.numeric(θ0$b) || length(θ0$b) != K || any(is.na(θ0$b)))
+ stop("θ0$b: length K, no NA")
# TODO: stopping condition? N iterations? Delta <= epsilon ?
for (loop in 1:10)
{
rbind( rep(-1,K-1), diag(K-1) ),
matrix(0, nrow=K, ncol=(d+1)*K) ),
ci=c(-1,rep(0,K-1)) )
-
- computeW(expArgs(op_res$par))
- # debug:
- #print(W)
- print(op_res$value)
- print(expArgs(op_res$par))
+ W <<- computeW(expArgs(op_res$par))
+ print(op_res$value) #debug
+ print(expArgs(op_res$par)) #debug
}
expArgs(op_res$par)