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Add new research papers to JEPA repository
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- Added 2506.09985_vjepa2.pdf (19.8 MB)
- Added 2511.08544_lejepa.pdf (8.5 MB)
- Added 2602.11389_causal_jepa.pdf (2.9 MB)
- Added 2603.19312_leworldmodel.pdf (5.5 MB)
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gaojie
2026-06-02 04:27:06 +08:00
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@@ -96,11 +96,13 @@ D = δ / (2ρ(1-ρ))
| 数学概念 | 代码实现 |
|---------|---------|
| SIGReg 正则化 | [`losses.py:SIGReg`](../lejepa-identifiability/experiments/lejepa_id/losses.py) |
| 非线性混合 `g`（spiral/banana/sinusoid/coupling） | [`mixing.py`](../lejepa-identifiability/experiments/lejepa_id/mixing.py) |
| SIGReg 正则化（切片特征函数） | [`losses.py:SIGReg`](../lejepa-identifiability/experiments/lejepa_id/losses.py) |
| 对齐损失 | [`losses.py:alignment_loss`](../lejepa-identifiability/experiments/lejepa_id/losses.py) |
| OU 增强 | [`data.py:ou_augment`](../lejepa-identifiability/experiments/lejepa_id/data.py) |
| R²、正交误差、近似界 | [`metrics.py:compute_all_metrics`](../lejepa-identifiability/experiments/lejepa_id/metrics.py) |
| 训练循环 | [`engine.py:train_and_evaluate`](../lejepa-identifiability/experiments/lejepa_id/engine.py) |
| R²、正交误差、近似界、Procrustes | [`metrics.py:compute_all_metrics`](../lejepa-identifiability/experiments/lejepa_id/metrics.py) |
| Reacher 像素渲染 / 数据集 | [`reacher.py`](../lejepa-identifiability/experiments/lejepa_id/reacher.py) |
| 训练循环（lejepa/whiten/infonce） | [`engine.py:train_and_evaluate`](../lejepa-identifiability/experiments/lejepa_id/engine.py) |
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@@ -108,12 +110,14 @@ D = δ / (2ρ(1-ρ))
| 定理 | Lean 文件 | 验证状态 |
|------|----------|---------|
| 定理1（Hermite 路径） | [`lean/LeJEPA/Hermite.lean`](../lejepa-identifiability/lean/LeJEPA/Hermite.lean) | ✅ 零 sorry |
| 定理1 / Thm 4.1（Hermite 路径） | [`lean/LeJEPA/Hermite.lean`](../lejepa-identifiability/lean/LeJEPA/Hermite.lean) | ✅ 零 sorry |
| 定理2（高斯唯一性） | [`lean/LeJEPA/Uniqueness.lean`](../lejepa-identifiability/lean/LeJEPA/Uniqueness.lean) | ✅ 零 sorry |
| 定理3（近似界） | [`lean/LeJEPA/Approx.lean`](../lejepa-identifiability/lean/LeJEPA/Approx.lean) | ✅ 零 sorry |
| 定理4（规划等价） | [`lean/LeJEPA/Planning.lean`](../lejepa-identifiability/lean/LeJEPA/Planning.lean) | ✅ 零 sorry |
| 定理3 / Prop 4.3（近似界） | [`lean/LeJEPA/Approx.lean`](../lejepa-identifiability/lean/LeJEPA/Approx.lean) | ✅ 零 sorry |
| 定理4 / Corollary（规划等价） | [`lean/LeJEPA/Planning.lean`](../lejepa-identifiability/lean/LeJEPA/Planning.lean) | ✅ 零 sorry |
| 附录E（Dirichlet 路径） | [`lean/LeJEPA/Dirichlet.lean`](../lejepa-identifiability/lean/LeJEPA/Dirichlet.lean) | ✅ 零 sorry |
> 注：Lean 工程使用 Mathlib v4.28.0，零 `sorry`；公理化组件为 Mathlib 尚未提供的标准结论（Hermite 多项式基础设施、Mazur–Ulam、等权 AM–GM 等）。
---
## 💡 核心洞见（一句话总结）