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---
title: "Symbolic Back-Propagation (符号反向传播)"
created: 2026-05-29
updated: 2026-05-29
type: concept
tags: ["agent", "backpropagation", "symbolic"]
sources: ["https://arxiv.org/abs/2406.18532"]
---
# Symbolic Back-Propagation (符号反向传播)
**Symbolic Back-Propagation** 是 [[agent-symbolic-learning|Agent Symbolic Learning]] 的梯度传播机制:将 [[language-loss|Language Loss]] 从 [[symbolic-network|Agent Pipeline]] 末节点**向前逐节点传播**,为每个节点生成 [[language-gradient|Language Gradient]]。
## 过程
```
Forward 轨迹: Node1 → Node2 → ... → NodeN → Output
Backward: Language Loss(NodeN) → LG(NodeN) → LG(Node_{N-1}) → ... → LG(Node1)
```
每个节点的 Language Gradient 基于下游梯度 + 本节点的操作 + 全局因果分析。
## 核心优势Holistic
与 DSPy 等分别优化单个 prompt 的方法不同Symbolic BP **同时传播到所有节点**,考虑 pipeline 级联效应,避免局部最优。
## 相关
- [[agent-symbolic-learning]] — 整体框架
- [[language-gradient]] — BP 的产物