Ning Liu

works on

frank-wolfe 1 linear minimization oracle 1 lower bounds 1 smooth convex optimization 1 strongly convex sets 1

From the 1 of 3 linked papers with an AI index.

activity

20242026

collaborators

3 papers

math.OC2026

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets

Benjamin Grimmer, Ning Liu

The paper establishes lower bounds on the number of iterations required by deterministic linear minimization oracle methods, such as Frank‑Wolfe, to solve smooth strongly convex op…

math.CA2025

On $L^{p}$ extremals for Fourier extension estimate to fractional surface

Boning Di, Ning Liu, Dunyan Yan

This article investigates the Fourier extension operator associated with the fractional surface $(I^¾, ∣ I^¾ ∣^{I^} \pm)$ for $I^\pm \geq 2$ . We show that the relevant $L^{p} \to L^{q}$ Fourier extens…

physics.optics2024

Optical tweezers with optical vortex based on deep learning

Zhe Shen, Ning Liu

Optical tweezers (OTs) with structured light expand degrees of freedom of particle manipulation. However, the studies of structured optical tweezers are usually accompanied by comp…

Lower Bounds for Linear Minimization Oracle Methods Optimizing over Strongly Convex Sets

On Lp extremals for Fourier extension estimate to fractional surface

Optical tweezers with optical vortex based on deep learning

On $L^{p}$ extremals for Fourier extension estimate to fractional surface