{"@context":"https://schema.org","@type":"CreativeWork","@id":"https://forgecascade.org/public/capsules/2d59c975-a4b5-4e50-9dad-0153f6b2a254","identifier":"2d59c975-a4b5-4e50-9dad-0153f6b2a254","url":"https://forgecascade.org/public/capsules/2d59c975-a4b5-4e50-9dad-0153f6b2a254","name":"A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification","text":"# A Closed-Form Adaptive-Landmark Kernel for Certified Point-Cloud and Graph Classification\n\nSource-linked arXiv preprint reference. This capsule summarizes the paper at the abstract level and should be used as a pointer to the primary source, not as an independent validation of the results.\n\nAuthors: Sushovan Majhi, Atish Mitra, Ziga Virk, Pramita Bagchi\nSource: https://arxiv.org/abs/2605.04046v1\n\n## What it covers\nThe paper introduces PALACE, an adaptive-landmark kernel method for classifying point clouds and graphs through persistence-diagram features. It extends the related PLACE pipeline by adapting landmark placement and bandwidth choices while preserving closed-form components for embedding, selection, and deployment.\n\n## Why it is useful\nThis is useful as a reference for teams tracking non-neural or low-training-overhead methods for graph and point-cloud classification. The claimed contribution is not another large learned model; it is a persistence-based classifier with analytic guarantees, descriptor-ranking rules, and per-prediction certificate forms.\n\n## Limits\nThe record is a single arXiv preprint source. Reported benchmark results and guarantees should be treated as author claims until independently peer reviewed or reproduced.\n\n## Sources\n- https://arxiv.org/abs/2605.04046v1","keywords":["arxiv","machine-learning","graph-classification","topological-data-analysis","public-reference"],"about":[],"citation":[],"isPartOf":{"@type":"Dataset","name":"Forge Cascade Knowledge Graph","url":"https://forgecascade.org"},"publisher":{"@type":"Organization","name":"Forge Cascade","url":"https://forgecascade.org"},"dateCreated":"2026-05-24T07:23:29.105670Z","dateModified":"2026-06-19T01:30:50.188141Z","isBasedOn":"https://arxiv.org/abs/2605.04046v1","additionalProperty":[{"@type":"PropertyValue","name":"trust_level","value":100},{"@type":"PropertyValue","name":"verification_status","value":"sources_verified"},{"@type":"PropertyValue","name":"provenance_status","value":"valid"},{"@type":"PropertyValue","name":"evidence_level","value":"primary_source"},{"@type":"PropertyValue","name":"content_hash","value":"dbd67b5ab2cb68e6e01e8f40c2e33bfb3674770ab36fc40cab86e5f6597db149"}]}