The below expression has three summations (sigmas) and $L$ is a real-matrix and symmetric, $X$ is a real matrix with $n$ rows and $X_{p\mathbb{.}},X_{q\mathbb{.}}$ denote the $p$ and $q$ rows of matrix $X$.
$f(.)$ is a function acting on pairs of rows of $X$ and produces a scalar-real value. $c_p^t$ denotes the entry $t$ in a vector $c_p$ and $c_{q}^{s}$ denotes the entry $s$ in a vector $c_q$. $(L)^\dagger$ is the pseudo-inverse of $L$ and it is also a symmetric matrix in this problem.
I want the below expression to be simplified as much as possible!
ex: There may be redundancy in the summations and may be it can be expressed using two sigma's only? etc..
$\sum_{i,j=1}^{n} L_{ij} \sum_{p,q=1}^{n} \sum_{t,s=1}^{d}f(X_{p\mathbb{.}},X_{q\mathbb{.}})(L)^{\dagger }_{it}c_{p}^{t}(L)^{\dagger }_{js}c_{q}^{s}$