X

X

Is

affine

with regard to

X

Variable	X
Order
Diagonal	DIA
Symmetric	SYM

Examples

Minimal example

X

Diagonal broadcast

#(',,i->ii', s, s, d)

Least squares regression

sum((#('ij,i->j',
 X, w)-y)^2)

Logtrace

log(trace(X))

Exptrace

exp(trace(X))

tr(X^T * B * X)

trace(#('ia,ij,jb->ab',
 X, B, X))

UV decomposition

sum((A-#('ij,kj->ik',
 U, V))^2)

Tucker decomposition

sum((X - #('ijk,ia,jb,kc
->abc', K, A, B, C))^2)

Rank 1 decomposition

||(X - #('i,j,k->ijk',
 u, v, w))||^2

Log-sum-exp

log(sum(exp(X)))

Logdet

log(det(X))

Restricted domain

#('ab,bc,cd,da->',
 X, B, X, B)