Is my Markdown uploaded?

No. Conversion and rendering run entirely in your browser — nothing is sent to a server.

Does the formatting survive the paste into Google Docs?

Yes. The copy is rich HTML with inline styles, so headings, bold/italic, bullet and numbered lists, tables, blockquotes, and code blocks keep their formatting on paste.

How is LaTeX math handled?

Math is rendered live with KaTeX in the preview. On copy, each equation is flattened to readable symbol text so it pastes cleanly into Google Docs without broken layout.

Roboto is the default Google Docs font, so the preview matches what you will see after pasting.

Can I copy just the Markdown or download HTML?

Yes. Buttons let you copy the raw Markdown or download a standalone .html file with embedded styling.

Does it support tables and task lists?

Yes. GitHub Flavored Markdown tables, strikethrough, and task lists all render and copy.

Markdown to Google Docs

Write Markdown, preview a Roboto Google Docs page with live LaTeX math, then copy paste-ready

Runs entirely in your browser

209 words1240 chars

# 文本事实一致性与大模型幻觉评估（G-Score）

本指南阐述用于评估大语言模型（LLM）生成文本**事实一致性**的得分函数 $G$。公式通过正向蕴含奖励与**双倍矛盾惩罚**机制，客观反映文本真实度，常用于 NLI 与幻觉检测。

---

## 1. 核心公式

### 1.1 单项状态得分 $s_i$

| 状态值 $s_i$ | 分类 | 英文 | 释义 |
| :---: | :---: | :---: | :--- |
| **+1** | 完全蕴含 | Entailed | 可由参考文本完全推导，无事实错误 |
| **+0.5** | 部分支持 | Partial | 大部分正确，存在细节模糊或泛化 |
| **0** | 无依据 | Unsupported | 参考文本未提及，无法判定真伪 |
| **-1** | 矛盾 | Contradicted | 与参考事实直接相左，属严重幻觉 |

### 1.2 综合评估得分 $G$

$$
G = \text{clip}_{[0,1]}\left( \frac{\sum_{i} w_i \cdot \max(s_i, 0)}{\sum_{i} w_i} - \frac{2 \cdot \sum_{i} w_i \cdot \mathbb{1}[s_i=-1]}{\sum_{i} w_i} \right)
$$

其中 $\text{clip}_{[0,1]}(x) = \max(0, \min(1, x))$，确保 $G \in [0, 1]$。

---

## 2. 应用示例（设 $w_i = 1$）

含一处严重事实错误（触发双倍惩罚），断言得分 $s = [+1, +1, +1, -1]$：

$$
G = \text{clip}_{[0,1]}\left( \frac{3}{4} - \frac{2 \cdot 1}{4} \right) = \text{clip}_{[0,1]}(0.25) = 0.25
$$

> **结论：** 即便 3 个断言完全正确，1 处致命矛盾就把得分从 $0.75$ 硬扣到 $0.25$ —— 符合金融、医疗等对幻觉零容忍的 RAG 评估逻辑。

```python
def g_score(s, w=None):
    w = w or [1] * len(s)
    W = sum(w)
    pos = sum(wi * max(si, 0) for wi, si in zip(w, s))
    contra = sum(wi for wi, si in zip(w, s) if si == -1)
    return max(0.0, min(1.0, pos / W - 2 * contra / W))
```

- [x] 定义状态得分
- [x] 推导综合公式
- [ ] 接入你的 RAG 评测管线

文本事实一致性与大模型幻觉评估（G-Score）

本指南阐述用于评估大语言模型（LLM）生成文本事实一致性的得分函数 $G$ 。公式通过正向蕴含奖励与双倍矛盾惩罚机制，客观反映文本真实度，常用于 NLI 与幻觉检测。

1. 核心公式

1.1 单项状态得分 $s_i$

状态值 $s_i$	分类	英文	释义
+1	完全蕴含	Entailed	可由参考文本完全推导，无事实错误
+0.5	部分支持	Partial	大部分正确，存在细节模糊或泛化
0	无依据	Unsupported	参考文本未提及，无法判定真伪
-1	矛盾	Contradicted	与参考事实直接相左，属严重幻觉

1.2 综合评估得分 $G$

G = \text{clip}_{[0,1]}\left( \frac{\sum_{i} w_i \cdot \max(s_i, 0)}{\sum_{i} w_i} - \frac{2 \cdot \sum_{i} w_i \cdot \mathbb{1}[s_i=-1]}{\sum_{i} w_i} \right)

其中 $\text{clip}_{[0,1]}(x) = \max(0, \min(1, x))$ ，确保 $G \in [0, 1]$ 。

2. 应用示例（设 $w_i = 1$ ）

含一处严重事实错误（触发双倍惩罚），断言得分 $s = [+1, +1, +1, -1]$ ：

G = \text{clip}_{[0,1]}\left( \frac{3}{4} - \frac{2 \cdot 1}{4} \right) = \text{clip}_{[0,1]}(0.25) = 0.25

结论： 即便 3 个断言完全正确，1 处致命矛盾就把得分从 $0.75$ 硬扣到 $0.25$ —— 符合金融、医疗等对幻觉零容忍的 RAG 评估逻辑。

def g_score(s, w=None):
    w = w or [1] * len(s)
    W = sum(w)
    pos = sum(wi * max(si, 0) for wi, si in zip(w, s))
    contra = sum(wi for wi, si in zip(w, s) if si == -1)
    return max(0.0, min(1.0, pos / W - 2 * contra / W))

定义状态得分
推导综合公式
接入你的 RAG 评测管线

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Markdown to Google Docs — Paste-Ready Converter

Write Markdown on the left, see a Google Docs–styled page on the right rendered in Roboto with live LaTeX math. Hit “Copy for Google Docs” and paste — headings, tables, lists, code, and equations keep their formatting.

How to convert Markdown to Google Docs

Paste your Markdown. Type or paste Markdown into the left editor. GitHub Flavored Markdown plus $...$ / $$...$$ LaTeX math are supported.
Preview the Google Docs page. The right pane renders a Roboto-typeset page that mirrors how it will look inside Google Docs, math included.
Copy for Google Docs. Click “Copy for Google Docs”. The formatted content is written to your clipboard as rich text with inline styles.
Paste into your doc. Open a Google Doc and paste (Cmd/Ctrl+V). Headings, bold, lists, tables, blockquotes, and code blocks all carry over.

Frequently Asked Questions

Is my Markdown uploaded?: No. Conversion and rendering run entirely in your browser — nothing is sent to a server.
Does the formatting survive the paste into Google Docs?: Yes. The copy is rich HTML with inline styles, so headings, bold/italic, bullet and numbered lists, tables, blockquotes, and code blocks keep their formatting on paste.
How is LaTeX math handled?: Math is rendered live with KaTeX in the preview. On copy, each equation is flattened to readable symbol text so it pastes cleanly into Google Docs without broken layout.
Why Roboto?: Roboto is the default Google Docs font, so the preview matches what you will see after pasting.
Can I copy just the Markdown or download HTML?: Yes. Buttons let you copy the raw Markdown or download a standalone .html file with embedded styling.
Does it support tables and task lists?: Yes. GitHub Flavored Markdown tables, strikethrough, and task lists all render and copy.

Use Cases

Turn a Markdown draft or README into a shareable Google Doc
Move LLM/ChatGPT Markdown output into Google Docs with formatting intact
Paste a technical spec with tables and code into a team doc
Convert math-heavy notes (KaTeX) into a readable Google Doc
Prepare a Markdown report for collaborators who live in Google Docs

Markdown to Google Docs

文本事实一致性与大模型幻觉评估（G-Score）

1. 核心公式

1.1 单项状态得分 $s_i$

1.2 综合评估得分 $G$

2. 应用示例（设 $w_i = 1$ ）

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Markdown to Google Docs — Paste-Ready Converter

How to convert Markdown to Google Docs

Frequently Asked Questions

Use Cases

Markdown to Google Docs

文本事实一致性与大模型幻觉评估（G-Score）

1. 核心公式

1.1 单项状态得分 sis_isi​

1.2 综合评估得分 GGG

2. 应用示例（设 wi=1w_i = 1wi​=1）

Image Tools

Video & Audio

Developer Tools

Documents & Utility

More Tools

Finance

Markdown to Google Docs — Paste-Ready Converter

How to convert Markdown to Google Docs

Frequently Asked Questions

Use Cases

1.1 单项状态得分 $s_i$

1.2 综合评估得分 $G$

2. 应用示例（设 $w_i = 1$ ）