polynomial-optimization

Solver for Large-Scale Rank-One Semidefinite Relaxations

Master's thesis "Semidefinite Programming for Geometric Problems in Computer Vision".

Code for the paper "The speed of traveling waves in a FKPP-Burgers system"

Code for senior thesis titled "Novel results on Computational Methods for Polynomial Optimization", advised by Amir Ali Ahmadi at Princeton University in the 2017-2018 academic year.

Code for the paper "Minimum wave speeds in monostable reaction-diffusion equations: sharp bounds by polynomial optimization"

Computational study of Putinar and Schmüdgen Sum-of-Squares relaxations for one-dimensional polynomial obstacle avoidance, including exactness, geometry, and solver-scaling experiments.

Research toolbox for polynomial optimization using Sum-of-Squares (SOS) and moment relaxations (SDP, SOCP, chordal methods)

SOS methods vs. metaheuristics for multi-objective polynomial optimization — code, data, and reproducibility artifacts

Certified computational study of the gap shape of degree-4 sum-of-squares relaxations of unique games. A null result on the main question, two proved theorems on Paley graphs, and a structural determination of the degree-4 extension. Fully reproducible: 132 checks, 0 mismatches.