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New metric quantifies local and global fidelity of nonlinear embeddings

Researchers have developed a new metric called the DLP curve to quantify the local and global fidelity of nonlinear embeddings, such as t-SNE and UMAP. This curve measures how well a map preserves the nearest neighbors of each point, providing distinct scores for local (L) and global (G) structure preservation. The method was validated on datasets with up to 1.38 million points and showed agreement with established global scores. Additionally, the research introduces an entity fidelity measure to predict when maps lose specific entities based on their size, finding that t-SNE and PCA cross in fidelity at around 150,000 passages in an agent memory dataset. AI

IMPACT Introduces a new quantitative method for evaluating the effectiveness of dimensionality reduction techniques used in AI model analysis.

RANK_REASON Academic paper detailing a new method for evaluating machine learning embeddings. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv cs.AI →

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New metric quantifies local and global fidelity of nonlinear embeddings

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Academic paper detailing a new method for evaluating machine learning embeddings. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv cs.AI TIER_1 English(EN) · Henry Han ·

    Quantifying Local and Global Fidelity of Nonlinear Embeddings

    arXiv:2611.00290v2 Announce Type: replace Abstract: Dimension reduction rests on a claim: t-SNE and UMAP preserve local structure, PCA global structure. Our DLP curve is the share of each point's k nearest neighbors a map keeps. Corrected for chance, it gives L at k=10 and G over…