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LLM 裁判审计 / 3 OF 5

总选第一个

Selecting the first position fails swap consistency.

本地计算 / 模拟

本地教学实验,不调用外部 API。合成示例不能替代生产环境测量。

学习指南与本课目录LEARNING CONTRACT

理解 → 实现 → 研究

目标:解释本课机制、复现一个例子、测试一个失败案例。读完不自动代表掌握。

02 · 预测与配置

技术场景说明、参数名称与参考答案目前为英文。

03 · 检查证据

运行实验后查看结果。

方法与参考资料

Build an exportable rubric and analyze supplied judge labels. No LLM is called. In swapped trials A means original B and vice versa; normalize before computing consistency. Fixture labels are synthetic. Rubric wording is an original starting point, not a validated scale.

Text / 原始公式
agreement=matches/n; consistency=matches(original, remapped swapped)/n

High agreement on a small biased sample does not validate a judge for a new domain.

Judging LLM-as-a-Judge · MT-Bench ↗

练习题

judge-3 / 01What does “Always choose first” test?

Selecting the first position fails swap consistency.

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

打开实验 →
judge-3 / 02Which computation produces the result in “Always choose first”?

; , remapped swapped)/n

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

打开实验 →
judge-3 / 03What is the baseline configuration for “Always choose first”?

{"task":"Compare two answers for factual correctness using supplied evidence.","ratings":"[{\"human\":\"A\",\"judge\":\"A\",\"swapped\":\"A\"},{\"human\":\"B\",\"judge\":\"A\",\"swapped\":\"A\"}]"}

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

打开实验 →
judge-3 / 04What numerical result should you check for “Always choose first”?

{"Human agreement":0.5,"Order consistency":0,"A wins (original)":1}

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

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judge-3 / 05How would you run a controlled comparison for “Always choose first”?

Keep the supplied fixture and other settings fixed; change ratings. Compare human agreement and order consistency; retain evidence spans in real evaluations.

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

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judge-3 / 06What failure could invalidate a conclusion from “Always choose first”?

High agreement on a small biased sample does not validate a judge for a new domain.

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

打开实验 →
judge-3 / 07Is “Always choose first” a benchmark of a deployed language model?

No. Build an exportable rubric and analyze supplied judge labels. No LLM is called. In swapped trials A means original B and vice versa; normalize before computing consistency. Fixture labels are synthetic. Rubric wording is an original starting point, not a validated scale.

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

打开实验 →
judge-3 / 08Which evidence should you report for “Always choose first”?

Compare human agreement and order consistency; retain evidence spans in real evaluations. Export inputs, engine, result and method; distinguish synthetic fixtures from observed production data.

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

打开实验 →
judge-3 / 09How can another researcher reproduce “Always choose first”?

Open judge-3, reset the preset, retain the exact inputs and run. The calculation is deterministic for identical inputs.

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

打开实验 →
judge-3 / 10What is the next validation step after “Always choose first”?

High agreement on a small biased sample does not validate a judge for a new domain. Test the hypothesis on a representative held-out workload and document a baseline, success metric and stopping rule before claiming deployment readiness.

Original teaching answer / local derivation. Method reference: Judging LLM-as-a-Judge · MT-Bench ↗

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MATHEMATICAL REVIEW · 2026-10-26

假设、参考实现与验收

比较次数必须为正。保留平局,把交换标签映射回原身份,并单独报告解析失败。合成评分不证明真实裁判可靠。

已复核引擎公式、场景预设及数值保护。固定种子的合成输入不是生产基准。

人工、裁判及交换标签 → 交换标签映射回原身份 → 保留平局 · 校验标签 → 一致率与顺序一致性
机制图:从上到下跟踪每次变换。

运行前:预测一个边界情况

Selecting the first position fails swap consistency.

提示:隔离假设

固定基线输入,只改变一个参数或边界;同时比较数值与声明单位。单例通过仅验证该样例。

最小可运行算例

将算例及所链接模块保存在同一目录。使用 Node.js 22 或更高版本,然后运行 node judge-3.mjs. 无需第三方运行依赖。

import {calculate,network} from './academy-core.mjs';
const params={
  "task": "Compare two answers for factual correctness using supplied evidence.",
  "ratings": "[{\"human\":\"A\",\"judge\":\"A\",\"swapped\":\"A\"},{\"human\":\"B\",\"judge\":\"A\",\"swapped\":\"A\"}]"
};
const result=calculate('judge',params);
console.log(result.metrics);

测试与迁移

Selecting the first position fails swap consistency.

在下方笔记记录输入、代码版本、期望值和实测值;再构造违反上述假设的反例,解释原结论为何不再成立。

下载完整代码包(.tar.gz) · 完整参考代码与回归检查

预测、检验与证据记录

展开答案前先预测一个结果;练习后记录差异和迁移测试。记录仅存本地,在不同语言版本间共用。

打开记录/导出/清除 →

数学复核范围逐篇记录,不代表完成论文实证复现;可在笔记中记录疑似错误。 复核范围