Semidefinite programming relaxations of polynomial optimization problems of commuting variables with moment constraints, parametric and bilevel variants.

## Posts tagged: Python

## Relaxations of parametric and bilevel polynomial optimization problems

## Fast self-organizing maps in Python with Somoclu

Somoclu, a massively parallel implementation of self-organizing maps, has updated its visual capabilities for its Python interface.

## Semidefinite programming in Python

A brief overview of SDP solvers and tools in Python

## Optimal randomness generation from entangled quantum states

Optimal randomness generation from entangled quantum states: computational appendix to arXiv:1505.03837.

## Detecting a rank loop in the NPA hierarchy

It is possible to detect a rank loop in the hierarchy of SDP relaxations of polynomial optimization problems, but an arbitrary-precision SDP solver is recommended.

## Migrating an academic website from Wordpress to Pelican

In pursuit of open science, academics should blog. As good nerds, they should opt for static website generators. Pelican is a great option, but caveats apply.

## Using Cython with Pypy and Numpy

Load Cython modules from Pypy while also using Numpy.

## The Jordan-Wigner transformation in Python

Using SymPy, it is easy to calculate the Jordan-Wigner transformation in Python.

## Reproducible research, literate programming, IPython, and GitHub

IPython's notebook interface combined with git and GitHub makes a perfect tool to promote reproducible academic publications.

## Ground state of spinless fermions with DMRG

Calculating the ground state of spinless fermions on an open two-dimensional lattice with density matrix renormalization group using ALPS.

## Computer algebra system on a cell phone

Smartphones are powerful enough to run a Linux with a graphical interface: computer algebra systems are the next frontier in mobile computing.

## Spyder: Getting closer to a viable Mathematica alternative

A combination of Spyder, IPython, SymPy, NumPy, and Matplotlib gets pretty close to replace Mathematica in most of my use cases.

## Second-order semidefinite relaxation of a commutative polynomial optimization problem

Second-order semidefinite relaxation of a constrained commutative polynomial optimization problem using PICOS in Python, exporting to SDPA.

## Generating noncommutative monomials with SymPy

A Python solution to generate monomials of noncommutative variables.