arXiv:2604.25209v2 Announce Type: replace-cross
Abstract: Dimensionality reduction methods such as UMAP and t-SNE are central tools for visualising high-dimensional data, but their local-neighborhood objectives can preserve sampling noise while distorting global topology. We show that standard local metrics reward this noise memorisation: top-performing embeddings invent cycles and disconnected islands absent from the data. We introduce a topology-faithfulness benchmark based on noisy manifolds with known homology, tune DiRe against it, and find Pareto-optimal configurations that match or beat GPU-accelerated UMAP on classification while recovering exact first Betti numbers on stress tests. On 723K arXiv paper embeddings, DiRe preserves 3-4 times more topological structure than UMAP at comparable wall-clock.
Based on dual perspectives of management and ethics: exploring challenges and governance approaches for new media applications in psychiatric specialty hospitals
The further promotion and application of new media technologies present new opportunities for psychiatric specialty hospitals in areas such as health education, doctor-patient communication, service