Ya-Chi Chu

activity

20212025

most citedOn the convexity for the range set of two quadratic functions

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

collaborators

4 papers

math.AP2025

Exponential Absolute Minimizing extension and biased infinity Laplacian

Yang Chu

We study the variational structure of the biased infinity Laplacian by introducing a notion of the $β$ \textit{-Exponential Absolute Minimizing Extension} ( $β$ --AM) on arbitrary len…

math.OC2025★ 4 cited

On the convexity for the range set of two quadratic functions

Huu-Quang Nguyen, Ya-Chi Chu, Ruey-Lin Sheu

Given $n \times n$ symmetric matrices $A$ and $B$ , Dines in 1941 proved that the joint range set ${(x^{T} A x, x^{T} B x) ∣ x \in R^{n}}$ is always convex. Our paper is concerned with…

math.PR2024

Non-Markovianity of $2 K - B$ and a degeneration

Yang Chu, Lingfu Zhang

We study the process of $2 K - B$ , where $B$ is a standard one-dimensional Brownian motion and $K$ is its concave majorant. In light of Pitman's $2 M - B$ theorem, it was recently conjec…

math.OC2021

On Separation of level sets for a pair of quadratic functions

Huu-Quang Nguyen, Ya-Chi Chu, Ruey-Lin Sheu

Given a quadratic function $f (x) = x^{T} A x + 2 a^{T} x + a_{0},$ it is possible that its level set ${x \in R^{n} : f (x) = 0}$ has two connected components and thus can be separated by the le…

Exponential Absolute Minimizing extension and biased infinity Laplacian

On the convexity for the range set of two quadratic functions

Non-Markovianity of 2K−B and a degeneration

On Separation of level sets for a pair of quadratic functions

Non-Markovianity of $2 K - B$ and a degeneration