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New paper contrasts projection vs. restricted reconstruction for out-of-sample embedding

This paper explores methods for out-of-sample embedding using proximity data, a problem first studied by J.C. Gower in 1968. The authors survey existing kernel methods and categorize them into two main strategies: projection and restricted reconstruction. Projection is likened to adding a point to a principal component analysis, while restricted reconstruction involves a nonlinear optimization problem to approximate a multivariate analysis with a fixed vector diagram. The paper suggests that the choice between these strategies depends on specific circumstances. AI

IMPACT This research refines techniques for embedding data points, potentially improving the accuracy and interpretability of machine learning models that rely on proximity data.

RANK_REASON The cluster contains a new academic paper on a statistical machine learning topic. [lever_c_demoted from research: ic=1 ai=1.0]

Read on arXiv stat.ML →

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New paper contrasts projection vs. restricted reconstruction for out-of-sample embedding

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The cluster contains a new academic paper on a statistical machine learning topic. [lever_c_demoted from research: ic=1 ai=1.0]
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COVERAGE [1]

  1. arXiv stat.ML TIER_1 English(EN) · Michael W. Trosset, Kaiyi Tan, Minh Tang, Carey E. Priebe ·

    Out-of-Sample Embedding with Proximity Data: Projection versus Restricted Reconstruction

    arXiv:2505.06756v2 Announce Type: replace Abstract: The problem of using proximity (similarity or dissimilarity) data for the purpose of "adding a point to a vector diagram" was first studied by J.C. Gower in 1968. Since then, a number of methods -- mostly kernel methods -- have …