研究人员开发了 PALACE，一个用于使用持久同调对点云和图进行分类的数据自适应系统。PALACE 基于 PLACE 流水线，提供闭式保证，并在 Orbit5k 和 COX2 等基准测试中取得了强大的实证结果。该系统利用自适应地标放置来在域膨胀下保持性能，优于均匀网格方法。 AI
影响 引入了一种新颖的分类引擎，在复杂数据结构上展现出改进的鲁棒性和性能。
排序理由 这是一篇详细介绍点云和图分类新方法的学术论文。
AI 生成摘要 · Google Gemini · 来自 4 个来源。 我们如何撰写摘要 →
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…
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…
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…
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…