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Author

Ziheng Chen

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#artificial intelligence Preprint Sep 2026

Building Transformation Layers for Riemannian Neural Networks

Recently, deep neural networks on manifold-valued representations have garnered significant attention across various machine learning applications. One recent focus is the generalization of Euclidean fully connected (FC) and convolutional layers to non-Euclidean geometries. However, previous approaches typically focus...

Zi-Heng Chen · 1 citation
Jul 2026

Riemannian Deep Learning: Modules, Networks, and Geometries

This thesis develops a unified framework for Riemannian deep learning from three complementary perspectives: reusable neural modules, manifold-specific network architectures, and the design of underlying geometries.

Zi-Heng Chen · 0 citations

Riemannian Deep Learning: Modules, Networks, and Geometries

Deep neural networks on manifold-valued representations have attracted growing interest, but many basic components remain tied to specific manifolds, rely on Euclidean approximations, or require costly and numerically fragile geometric operations. This thesis develops a unified framework for Riemannian deep learning fr...

Ziheng Chen · 0 citations

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