Dimensionality Reduction News
The latest Dimensionality Reduction coverage curated for game developers.
Region-Aware Wasserstein Distances of Persistence Diagrams and Merge Trees
A new distance metric for persistence diagrams and merge trees tries to make topological comparisons more useful by factoring in where features live in the input domain, not just their …
Research
arXiv cs.GR
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3 months ago
Homology-Preserving Dimensionality Reduction via Adaptive Mapper and Landmark Isomap
A new paper proposes two topology-aware dimensionality reduction methods that try to keep loops and connected components intact, not just distances. AdaMapper uses persistence diagrams to adaptively refine the cover …
Research
arXiv cs.GR
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3 months, 2 weeks ago
Topo-GS: Continuous Volumetric Embedding of High-Dimensional Data via Topological Gaussian Splatting
Topo-GS repurposes 3D Gaussian Splatting to turn high-dimensional data into continuous volumetric embeddings instead of sparse point clouds. For graphics and technical artists, the interesting part is the topology-aware loss: …
Research
arXiv cs.GR
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4 months ago