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conic optimization 1dual optimization 1first-order methods 1lifting-free regularization 1quadratic sum-of-squares programming 1

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math.OC2026

Lifting-Free Quadratic Sum-Of-Squares Programming

Gabriel F. Machado, Ross Drummond, Morgan Jones

The paper introduces a lifting‑free regularization for quadratic sum‑of‑squares (QSOS) optimization that preserves the original conic structure and enables fast first‑order dual op…