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Sidney Zhang
2026-07-20 14:14:55 +08:00
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concepts/information-geometry.md
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@@ -4,7 +4,7 @@ created: 2026-06-10
updated: 2026-06-10
type: concept
tags: ["differential-geometry", "statistical-inference", "fisher-metric"]
sources: ["[[dead-directions-geometric-singular-learning]]"]
sources: ["[[dead-directions-geometric-singular-learning]]", "[[cubas-curvature-adaptive-sampling-2026|CuBAS]]", "[[smg-framework-2026|SMG]]"]
---
# 信息几何 (Information Geometry)
@@ -39,3 +39,6 @@ sources: ["[[dead-directions-geometric-singular-learning]]"]
- [[singular-learning-theory|Singular Learning Theory]]
- [[fisher-information-metric|Fisher Information Metric]]
- [[dead-direction|Dead Direction]]
- [[cubas-curvature-adaptive-sampling-2026|CuBAS]] — 利用 Fisher 信息诱导的曲率进行自适应采样
- [[smg-framework-2026|SMG]] — 无穷维 Orlicz 纤维丛，升级有限维信息几何至过参数化场景
- [[gid-sphere-2026|GID]] — 球面上嵌套最大熵投影的层次 KL 分解