Author

Oren Bassik

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Preprint Sep 2026

Squaring Up by Selection: NP-Completeness at Three Simple Roots

To solve an overdetermined polynomial system numerically, one first makes it square, usually by replacing the given equations with as many random linear combinations as there are unknowns. This is a provably safe step, but it can substantially enlarge the supports. The alternative is to keep that many of the given equa...

Oren Bassik · 0 citations

Preprint Sep 2026

Practical Algebraic Parameter Estimation for Noisy Data via Gaussian Process Regression

Parameter estimation for ordinary differential equation (ODE) models is a fundamental task that is often complicated by the limitations of conventional optimization-based methods. In theory, differential-algebraic approaches offer an appealing alternative: they reduce the problem to polynomial system solving and do not...

Oren Bassik, Alexander Demin, Alexey Ovchinnikov · 0 citations