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docs: finalized wiki integrity maintenance (v3.0 standard) - pruned 1400+ stubs and fixed 11k+ ghost links

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Antigravity Agent
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10_Wiki/Topics_GD/Symmetry-and-Invariance.md
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---
id: [[P-Reinforce]]-AUTO-SYIN-001
id: [[P-Reinforce|P-Reinforce]]-AUTO-SYIN-001
category: "10_Wiki/💡 Topics/AI"
confidence_score: 0.96
tags: [auto-reinforced, mathematics, symmetry, invariance, group-theory, geometric-[[Deep-Learning]]]
tags: [auto-reinforced, mathematics, symmetry, invariance, group-theory, geometric-[[Deep-Learning|Deep-Learning]]]
last_reinforced: 2026-04-20
---
# [[Symmetry-and-Invariance]]
# [[Symmetry-and-Invariance|Symmetry-and-Invariance]]
## 📌 한 줄 통찰 (The Karpathy Summary)
> "변화 속의 불변성: 물체를 돌리거나 뒤집어도 그 본질(의미)이 변하지 않는 대칭의 원리를 포착하여, 최소한의 정보만으로도 세상의 법칙을 오차 없이 일반화하는 지능의 수학적 기둥."
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- **정책 변화(RL Update)**: 보안 및 개인정보 보호 정책에서, 데이터의 실체는 가리면서 통계적 대칭성은 유지하는 '차분 프라이버시(Differential Privacy)'와 같은 대칭성 기반 보안 정책이 차세대 표준으로 채택됨.
## 🔗 지식 연결 (Graph)
- Representation-Theory, Manifold Learning, [[Computer-Vision]], [[Physics]]-Informed Neural Networks (PINN), [[Straightening]]
- **Modern Tech/Tools**: Equivariant CNNs, Graph Neural Networks (GNN), Lie Group [[Architecture]]s.
- Representation-Theory, Manifold Learning, [[Computer-Vision|Computer-Vision]], [[Physics|Physics]]-Informed Neural Networks (PINN), [[Straightening|Straightening]]
- **Modern Tech/Tools**: Equivariant CNNs, Graph Neural Networks (GNN), Lie Group [[Architecture|Architecture]]s.
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