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stat.ME2026
Manifold Fitting by Successive Tangent-Space Projection
Yuqing Xia, Bingjie Li, Zhigang Yao
Manifold fitting seeks to recover the geometric structure underlying noisy ambient observations. We propose Successive Tangent Space Projection (STSP), an iterative manifold-fittin…
stat.ME2026
Manifold Fitting: A Review of Methods and Applications
Zhigang Yao, Jiaji Su
With data growing in scale and complexity, traditional linear dimension reduction techniques are becoming inadequate in some settings. Manifold fitting offers an important alternat…
stat.ME2025
Principal Decomposition with Nested Submanifolds
Jiaji Su, Zhigang Yao
Over the past decades, the increasing dimensionality of data has increased the need for effective data decomposition methods. Existing approaches, however, often rely on linear mod…