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New PALACE and PLACE methods offer certified classification for point clouds and graphs

By PulseAugur Editorial · [4 sources] ·

Researchers have developed PALACE, a data-adaptive system for classifying point clouds and graphs using persistent homology. PALACE builds upon the PLACE pipeline, offering closed-form guarantees and achieving strong empirical results on benchmarks like Orbit5k and COX2. The system utilizes adaptive landmark placement to maintain performance under domain inflation, outperforming uniform grid methods. AI

IMPACT Introduces a novel classification engine that demonstrates improved robustness and performance on complex data structures.

RANK_REASON This is a research paper detailing a new method for point-cloud and graph classification.

Read on arXiv cs.LG →

AI-generated summary · Google Gemini · from 4 sources. How we write summaries →

New PALACE and PLACE methods offer certified classification for point clouds and graphs

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This is a research paper detailing a new method for point-cloud and graph classification.
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COVERAGE [4]

  1. arXiv cs.LG TIER_1 English(EN) · Sushovan Majhi, Atish Mitra, \v{Z}iga Virk, Pramita Bagchi ·

    A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification

    arXiv:2605.04046v1 Announce Type: new Abstract: We introduce PALACE (Persistence Adaptive-Landmark Analytic Classification Engine), the data-adaptive companion to PLACE, paying a small cross-validation tier on three knobs (budget, radii, bandwidth; $\leq 5$ choices each). A cover…

  2. arXiv cs.LG TIER_1 English(EN) · Pramita Bagchi ·

    A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification

    We introduce PALACE (Persistence Adaptive-Landmark Analytic Classification Engine), the data-adaptive companion to PLACE, paying a small cross-validation tier on three knobs (budget, radii, bandwidth; $\leq 5$ choices each). A cover-theoretic core (Lebesgue-number criterion on th…

  3. arXiv cs.LG TIER_1 English(EN) · Sushovan Majhi, Atish Mitra, \v{Z}iga Virk, Pramita Bagchi ·

    A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification

    arXiv:2605.02836v1 Announce Type: new Abstract: We introduce PLACE (Persistence-Landmark Analytic Classification Engine), a closed-form pipeline for classifying point clouds and graphs through their persistent-homology signatures. Three quantitative guarantees -- a margin-based e…

  4. arXiv cs.LG TIER_1 English(EN) · Pramita Bagchi ·

    A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification

    We introduce PLACE (Persistence-Landmark Analytic Classification Engine), a closed-form pipeline for classifying point clouds and graphs through their persistent-homology signatures. Three quantitative guarantees -- a margin-based excess-risk rate, a closed-form descriptor-select…

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