Ruixiang Zhang

activity

20212024

collaborators

4 papers

math.CO2024

On the $N$ -set occupancy problem

Ciprian Demeter, Ruixiang Zhang

We explore variants of the following open question: Split $[0, 1]^{2}$ into $N^{2}$ squares with side length $1/ N$ . Is there a way to select $N$ such squares such that each line interse…

math.CA2023

A distinction between the paraboloid and the sphere in weighted restriction

Alex Iosevich, Ruixiang Zhang

For several weights based on lattice point constructions in $R^{d} (d \geq 2)$ , we prove that the sharp $L^{2}$ weighted restriction inequality for the sphere is very differen…

math.CA2022

Sobolev Differentiability Properties of Logarithmic Modulus of Real Analytic Functions

Ziming Shi, Ruixiang Zhang

Let $f$ be the germ of a real analytic function at the origin in $R^{n}$ for $n \geq 2$ , and suppose the codimension of the zero set of $f$ at $0$ is at least $2$ .…

math.ST2021

Rank-Constrained Least-Squares: Prediction and Inference

Michael Law, Ya'acov Ritov, Ruixiang Zhang +1

In this work, we focus on the high-dimensional trace regression model with a low-rank coefficient matrix. We establish a nearly optimal in-sample prediction risk bound for the rank…

On the N-set occupancy problem

A distinction between the paraboloid and the sphere in weighted restriction

Sobolev Differentiability Properties of Logarithmic Modulus of Real Analytic Functions

Rank-Constrained Least-Squares: Prediction and Inference

On the $N$ -set occupancy problem