Let Γ (X) denote the proper, lower semicontinuous, convex functions on a Banach space X, equipped with the completely metrizable topology of uniform convergence of distance functions on bounded sets.

Researchers from SJTU have developed a convex-optimization-based quantum process tomography method for reconstructing quantum channels, and have shown the validity to seawater channels and general ...

What are some recent advances in non-convex optimization research? This question was originally answered on Quora by Anima Anandkumar.

Next we propose a tractable convex program based on regularized maximum-likelihood for model selection in this latent-variable setting; the regularizer uses both the ℓ₁ norm and the nuclear norm.

Discover how ChatGPT 5 Pro AI shattered expectations by solving a decades-old math problem, marking a new era of AI-human collaboration.

Even without convexity, this algorithm can be generically used as an oracle-efficient optimization algorithm, with accuracy evaluated empirically. We complement our theoretical results with an ...