CV

Check my CV here for more info.

Education

Undergraduate student at Weiyang College, Tsinghua University.

I am officially in my fourth year of undergraduate study, but I plan to delay my graduation by one year due to the pace of my academic progress. Thus I plan to apply for PhD programs in statistics in 2026 Fall.

Skills

• Programming: R, Python, LaTeX, Git

• Language: Chinese (native), English (TOEFL 108 (R30/L26/S23/W29)), French (second foreign language)

Publications & Manuscripts

(* indicates equal contribution.)

(Preprint) Xinyuan Fan*, Feiyan Ma*, Chenlei Leng, Weichi Wu. “Low-Rank Approaches to Graphon Learning in Networks”. (link)

Research Experiences

Low-Rank Approaches to Graphon Learning in Networks

Supervised by Prof. Weichi Wu and Prof. Chenlei Leng.

• We propose a novel approach that directly leverages a low-rank representation of the graphon for parsimonious modeling. This representation naturally yields both a low-rank connection probability matrix and a low-rank graphon — two tasks that are often infeasible in existing literature — while also addressing the well-known identification issues in graphon estimation.

• By exploiting the additive structure of this representation, we develop an efficient sequential fitting algorithm that estimates the low-rank connection matrix using subgraph counts and reconstructs the graphon function through interpolation.

• We provide the convergence rate of our method, and validate its computational efficiency and estimation accuracy through comprehensive simulation studies.

Relevant Courses

My official transcript can be found here.

• Undergraduate Core Courses: Probability Theory (1) (A+), Measures and Integrals (A), Numerical Analysis (A), Basic Functional Analysis (A), Linear Regression Analysis (A-), Statistical Inference (A-), Reliability Data and Survival Analysis (A), …

• Other Relevant Courses: Abstract Algebra (A), Topology (A), Differential Geometry (A), Financial Statistics (A+), Operation Research (A), Intro to Biostatistics (A), Intro to Optimization Theory (A-), Topics in Logics (A), Advanced Topics in Linear Algebra (A-), Partial Differential Equations (ongoing), …

• Graduate-Level Courses: Advanced Mathematical Statistics I (A), Advanced Mathematical Statistics II (A-), Computational Probability (A), Probability (2) (B+), Statistical Analysis of Network Data (ongoing), Advanced Statistical Methodology (ongoing)

Honors & Awards

• Honorable Mention, 2024 Mathematical Contest in Modeling. (Feb 2024)

• Gold Medal, The 19th China Girls Mathematical Olympiad (CGMO). (Aug 2020)

• First Prize, National High School Mathematics League, Shanghai Region. (Sep 2020)