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Sidney Zhang
2026-07-20 14:14:55 +08:00
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concepts/fisher-information-metric.md
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@@ -4,7 +4,7 @@ created: 2026-06-10
updated: 2026-06-10
type: concept
tags: ["information-geometry", "differential-geometry", "statistical-inference"]
sources: ["[[dead-directions-geometric-singular-learning]]"]
sources: ["[[dead-directions-geometric-singular-learning]]", "[[cubas-curvature-adaptive-sampling-2026|CuBAS]]"]
---
# Fisher 信息度量 (Fisher Information Metric)
@@ -41,3 +41,5 @@ Fisher 度量在以下公式中自然出现：
- [[information-geometry|Information Geometry]]
- [[dead-direction|Dead Direction]]
- [[singular-learning-theory|Singular Learning Theory]]
- [[cubas-curvature-adaptive-sampling-2026|CuBAS]] — 一阶/二阶 Fisher 信息驱动自适应采样
- [[smg-framework-2026|SMG]] — 非参数 Fisher-Rao 度量在无穷维 Orlicz 空间上的正交分解