26 lines
710 B
Markdown
26 lines
710 B
Markdown
---
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title: "Self-Map"
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type: concept
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tags: []
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---
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## Definition
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自映射，记作 Φ: G → G，定义为 Φ(G) = M(G, O(G(I), Ω))。这是生成器空间上的单步更新函数。
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## Context
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自映射定义了递归自优化系统的单次迭代：给定当前生成器 G，执行生成→优化→更新三个步骤，返回新的生成器 G'。迭代应用自映射产生生成器序列 {G_n}。
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## Formula
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```
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P = G(I) # 生成
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P* = O(P, Ω) # 优化
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G' = M(G, P*) # 更新
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Φ(G) = G' # 自映射
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```
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## Related Concepts
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- [[Generator Space]]
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- [[Meta-Generative Operator]]
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- [[Optimization Operator]]
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- [[Fixed Point]]
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- [[Recursive Self-Optimizing Generative Systems]] |