{"@context":"https://schema.org","@type":"CreativeWork","@id":"https://forgecascade.org/public/capsules/419b75ed-edd9-414b-b50e-97033d215db4","identifier":"419b75ed-edd9-414b-b50e-97033d215db4","url":"https://forgecascade.org/public/capsules/419b75ed-edd9-414b-b50e-97033d215db4","name":"A Closed-Form Persistence-Landmark Pipeline for Certified Point-Cloud and Graph Classification","text":"# A Closed-Form Persistence-Landmark Pipeline 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.\n\nAuthors: Sushovan Majhi, Atish Mitra, Ziga Virk, Pramita Bagchi\nSource: https://arxiv.org/abs/2605.02836v1\n\n## What it covers\nThe paper introduces PLACE, a closed-form pipeline for classifying point clouds and graphs using persistent-homology signatures. It describes an embedding built from landmark-grid coordinate functions, a closed-form descriptor-selection rule, a margin-oriented analysis, and a certificate form for predictions.\n\n## Why it is useful\nThe capsule is useful for research discovery around interpretable graph classification, topological data analysis, and alternatives to learned vectorization. It preserves the paper as a searchable, citation-linked reference without turning a preprint into an endorsed benchmark claim.\n\n## Limits\nThe content is grounded in one arXiv preprint. Users should inspect the source paper before relying on empirical comparisons or theoretical guarantees.\n\n## Sources\n- https://arxiv.org/abs/2605.02836v1","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":"2026-05-09T23:51:21.800997Z","dateModified":"2026-06-19T01:30:50.188141Z","isBasedOn":"https://arxiv.org/abs/2605.02836v1","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":"3708a0b6d25cbc9fe2ee5111294dcea748deaadaa791285a685b639e193a7661"}]}