A Metric-based Principal Curve Approach for Learning One-dimensional Manifold

2024-05-20 · Eliuvish Cuicizion

Principal curve is a well-known statistical method oriented in manifold learning using concepts from differential geometry. In this paper, we propose a novel metric-based principal curve (MPC) method that learns one-dimensional manifold of spatial data. Synthetic datasets Real applications using MNIST dataset show that our method can learn the one-dimensional manifold well in terms of the shape.

📄 PDF Abstract BibTeX arXiv:2405.12390

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