Publications

Data Analysis

Manifold learning

  14.   Radius detecting of spherical dataset via multidimensional scaling, with Min-Ruei Lin, Seçkin Günsen, ShengLi Tzeng,
  in preparation.

  12.   Convergence of Hessian estimator from random samples on a manifold with boundary, with Hau-Tieng WU,

          accepted by Pure and Applied Analysis, 2025.

  11.   A new locally linear embedding scheme in light of Hessian eigenmap, with Liren LIN, 2021. 

Trajectory analysis

  10.   Unsupervised Vessel Trajectory Reconstruction, with Hsin-Hsiung HUANG,

          Front. Appl. Math. Stat. 9 (2023), 1124091.  

          *An early version can be found on ArXiv: The unsupervised method of vessel movement trajectory prediction.

Geometric Analysis

Ricci flow and solitons

    13. τ-quasi Ricci-harmonic metrics on sequential warped product manifolds, with Seçkin Günsen, 

          J. Nonlinear and Convex Analysis, 25 (2024), no. 8, 1909–1918.

    8.   Volume bounds of the Ricci flow on closed manifolds, with Zhenlei ZHANG,

          Mathematische Zeitschrift, 291 (2019), 1133–1144. 

    7.   Shi-type estimates of the Ricci flow based on Ricci curvature,

          Annali della Scuola Normale Superiore di Pisa, Classe di Scienze, XX (2020), issue 4, 1553–1580.

    6.   Level set flow in 3D steady gradient Ricci soliton, with Kuo-Wei LEE,

          Manuscripta Mathematica, 158 (2019), issue 1–2, 223–234. 

    4.   A note on geodesic loops in complete non-compact Ricci solitons, 

          Acta Mathematica Scientia (Series A), 37 (2017), no. 1, 1–6.

    2.   Structure at infinity of expanding gradient Ricci soliton, with Alix DERUELLE,

          Asian Journal of Mathematics, 19 (2015), no. 5, 933–950.

    1.   On the asymptotic behavior of expanding gradient Ricci solitons,

          Annals of Global Analysis and Geometry, 42 (2012), no. 2, 267–277.

CR Yamabe flow and torsion flow

    9.   C_0-positivity and a classification of closed three-dimensional CR torsion solitons, with Huai-Dong CAO and Shu-Cheng CHANG,

  Mathematische Zeitschrift, 296 (2020),  1065–1080.

    5.   On the CR analogue of Reilly formula and Yau eigenvalue conjecture, with Shu-Cheng CHANG and Chin-Tung WU, 

          Asian Journal of Mathematics, 22 (2018), no. 5, 919–940.

    3.   On three-dimensional CR Yamabe solitons, with Huai-Dong CAO and Shu-Cheng CHANG,

          Journal of Geometric Analysis,  28 (2018), no. 1, 335–359.