diff --git a/docs/docs_skeleton/static/img/cpal_diagram.png b/docs/docs_skeleton/static/img/cpal_diagram.png new file mode 100644 index 0000000000..1d5291303d Binary files /dev/null and b/docs/docs_skeleton/static/img/cpal_diagram.png differ diff --git a/docs/extras/modules/chains/additional/cpal.ipynb b/docs/extras/modules/chains/additional/cpal.ipynb index f7daca6ed4..6b34fdc4d6 100644 --- a/docs/extras/modules/chains/additional/cpal.ipynb +++ b/docs/extras/modules/chains/additional/cpal.ipynb @@ -1,18 +1,16 @@ { "cells": [ { - "attachments": { - "4caf0580-4f46-4293-8b7a-5d6e7c9df990.png": { - "image/png": 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" - } - }, + "attachments": {}, "cell_type": "markdown", "id": "82f3f65d-fbcb-4e8e-b04b-959856283643", "metadata": {}, "source": [ "# Causal program-aided language (CPAL) chain\n", "\n", - "The [PR's description](https://github.com/hwchase17/langchain/pull/6255) contains the overview.\n", + "The CPAL chain builds on the recent PAL to stop LLM hallucination. The problem with the PAL approach is that it hallucinates on a math problem with a nested chain of dependence. The innovation here is that this new CPAL approach includes causal structure to fix hallucination.\n", + "\n", + "The original [PR's description](https://github.com/hwchase17/langchain/pull/6255) contains a full overview.\n", "\n", "Using the CPAL chain, the LLM translated this\n", "\n", @@ -28,7 +26,7 @@ "\n", "into this\n", "\n", - "![complex-graph.png](attachment:4caf0580-4f46-4293-8b7a-5d6e7c9df990.png).\n", + "![complex-graph.png](/img/cpal_diagram.png).\n", "\n", "Outline of code examples demoed in this notebook.\n", "\n", @@ -64,7 +62,14 @@ "id": "858a87d9-a9bd-4850-9687-9af4b0856b62", "metadata": {}, "source": [ - "## 1. CPAL's value against hallucination: CPAL vs PAL" + "## CPAL's value against hallucination: CPAL vs PAL\n", + "\n", + "Like PAL, CPAL intends to reduce large language model (LLM) hallucination.\n", + "\n", + "The CPAL chain is different from the PAL chain for a couple of reasons.\n", + "\n", + "CPAL adds a causal structure (or DAG) to link entity actions (or math expressions).\n", + "The CPAL math expressions are modeling a chain of cause and effect relations, which can be intervened upon, whereas for the PAL chain math expressions are projected math identities.\n" ] }, { @@ -908,7 +913,7 @@ "name": "python", "nbconvert_exporter": "python", "pygments_lexer": "ipython3", - "version": "3.11.4" + "version": "3.11.3" } }, "nbformat": 4,