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@@ -4,7 +4,7 @@ created: 2026-06-23
updated: 2026-06-23
type: concept
tags: ["information-geometry", "differential-geometry", "riemannian-geometry", "fisher-metric"]
sources: ["Amari & Nagaoka (2000)", "Amari (2016)", "https://arxiv.org/abs/2606.18306"]
sources: ["Amari & Nagaoka (2000)", "Amari (2016)", "https://arxiv.org/abs/2606.18306", "[[cubas-curvature-adaptive-sampling-2026|CuBAS]]", "[[smg-framework-2026|SMG]]"]
---
# Statistical Manifold (统计流形)
@@ -52,3 +52,5 @@ v ↦ G(θ)^{1/2} v
- [[fisher-information-metric|Fisher Information Metric]]
- [[fisher-width|Fisher Width]]
- [[gaussian-width|Gaussian Width]]
- [[cubas-curvature-adaptive-sampling-2026|CuBAS]] — Potts MRF 诱导的一维统计流形曲率
- [[smg-framework-2026|SMG]] — 无穷维 Orlicz 统计流形上的纤维丛结构