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Found 4 papers, 3 papers with code
3D genome reconstruction from partially phased Hi-C data
The 3-dimensional (3D) structure of the genome is of significant importance for many cellular processes.
Polynomial time guarantees for the Burer-Monteiro method
The basic idea is to solve a nonconvex program in $Y$, where $Y$ is an $n \times p$ matrix such that $X = Y Y^T$.
A convex relaxation to compute the nearest structured rank deficient matrix
Given an affine space of matrices $L$ and a matrix $\theta \in L$, consider the problem of finding the closest rank deficient matrix to $\theta$ on $L$ with respect to the Frobenius norm.
Optimization and Control Numerical Analysis 15A83, 90C22, 15B99
Sums of squares in Macaulay2
The package SOS implements sums-of-squares (SOS) decompositions in Macaulay2.
Optimization and Control Commutative Algebra Primary: 13J30, Secondary: 90C22, 13P25
