Fushuai Jiang

activity

20192026

most citedOn the Shape Fields Finiteness Principle

1 citations · 1 across the 4 of their papers we have counts for

collaborators

8 papers

math.FA2026

On a family of one-dimensional oscillation inequalities

Fushuai Jiang

Let $φ$ be a nonzero continuous mean-zero function on the one-dimensional torus and let $N_{φ}$ be the number of times that $φ$ changes signs. We prove the sharp family of oscillatio…

math.MG2024

Metric properties of partial and robust Gromov-Wasserstein distances

Jannatul Chhoa, Michael Ivanitskiy, Fushuai Jiang +4

The Gromov-Wasserstein (GW) distances define a family of metrics, based on ideas from optimal transport, which enable comparisons between probability measures defined on distinct m…

math.CA2021

$C^{2}$ Interpolation with Range Restriction

Charles Fefferman, Fushuai Jiang, Garving K. Luli

Given $- \infty < λ < Λ < \infty$ , $E \subset R^{n}$ finite, and $f : E \to [λ, Λ]$ , how can we extend $f$ to a $C^{m} (R^{n})$ function $F$ such that $ λ\leq F \…

math.CA2021

Algorithms for Nonnegative $C^{2} (R^{2})$ Interpolation

Fushuai Jiang, Garving K. Luli

Let $E \subset R^{2}$ be a finite set, and let $f : E \to [0, \infty)$ . In this paper, we address the algorithmic aspects of nonnegative $C^{2}$ interpolation in the plane.…

math.FA2020★ 1 cited

On the Shape Fields Finiteness Principle

Fushuai Jiang, Garving K. Luli, Kevin O'Neill

In this paper, we improve the finiteness constant for the finiteness principles for $C^{m} (R^{n}, R^{d})$ and $C^{m - 1, 1} (R^{n}, R^{D})$ selection proven by…

math.CA2020

$C^{2} (R^{2})$ Nonnegative Extension by Bounded-depth Operators

Fushuai Jiang, Garving K. Luli

In this paper, we prove the existence of a nonnegative parameter-dependent (nonlinear) $C^{2} (R^{2})$ extension operator with bounded depth.