fix readme

Author: hiyuchang

README.md

@@ -46,13 +46,14 @@ Trinity-RFT provides functionalities for users with different backgrounds and ob
 * [2025-11] [[Release Notes](https://github.com/modelscope/Trinity-RFT/releases/tag/v0.3.3)] Trinity-RFT v0.3.3 released: bug fixes.
 * [2025-11] Introducing [Learn-to-Ask](https://github.com/modelscope/Trinity-RFT/tree/main/examples/learn_to_ask): a framework for training proactive dialogue agents from offline expert data  ([paper](https://arxiv.org/pdf/2510.25441)).
 * [2025-11] Introducing [BOTS](https://github.com/modelscope/Trinity-RFT/tree/main/examples/bots): online RL task selection for efficient LLM fine-tuning ([paper](https://arxiv.org/pdf/2510.26374)).
+* [2025-09] [Our paper](https://arxiv.org/pdf/2509.24203) reveals a novel off-policy interpretation for group-relative REINFORCE and its variants like GRPO and AsymRE ([implementation](https://github.com/modelscope/Trinity-RFT/tree/main/examples/rec_gsm8k)).
+* [2025-08] Introducing [CHORD](https://github.com/modelscope/Trinity-RFT/tree/main/examples/mix_chord): dynamic SFT + RL integration for advanced LLM fine-tuning ([paper](https://arxiv.org/pdf/2508.11408)).
 
-<details><summary> more... </summary>
+<details><summary> More... </summary>
 <ul>
   <li> [2025-11] Trinity-RFT v0.3.2 released: bug fixes and advanced task selection & scheduling.</li>
   <li> [2025-10] Trinity-RFT v0.3.1 released: multi-stage training support, improved agentic RL examples, LoRA support, debug mode and new RL algorithms.</li>
   <li> [2025-09] Trinity-RFT v0.3.0 released: enhanced Buffer, FSDP2 & Megatron support, multi-modal models, and new RL algorithms/examples.</li>
-  <li> [2025-08] Introducing [CHORD](https://github.com/modelscope/Trinity-RFT/tree/main/examples/mix_chord): dynamic SFT + RL integration for advanced LLM fine-tuning ([paper](https://arxiv.org/pdf/2508.11408)).</li>
   <li> [2025-08] Trinity-RFT v0.2.1 released.</li>
   <li> [2025-07] Trinity-RFT v0.2.0 released.</li>
   <li> [2025-07] Technical report (arXiv v2) updated with new features, examples, and experiments: [link](https://arxiv.org/abs/2505.17826).</li>
@@ -114,18 +115,18 @@ Trinity-RFT provides functionalities for users with different backgrounds and ob
 
 We list some algorithms supported by Trinity-RFT in the following table. For more details, the concrete configurations are shown in the [Algorithm module](https://github.com/modelscope/Trinity-RFT/blob/main/trinity/algorithm/algorithm.py). You can also set up new algorithms by customizing different components, see [tutorial](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/develop_algorithm.html).
 
-| Algorithm [Paper] | Doc/Example | Source Code | Key Configurations |
-|-----------|-----------|---------------|-----------|
-| PPO [[Paper](https://arxiv.org/pdf/1707.06347)] | [[Docs](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_reasoning_basic.html)] [[Countdown Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/ppo_countdown)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/ppo_policy_loss.py)] | `algorithm_type: ppo` |
-| GRPO [[Paper](https://arxiv.org/pdf/2402.03300)] | [[Docs](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_reasoning_basic.html)] [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/grpo_gsm8k)]| [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/grpo_advantage.py)] | `algorithm_type: grpo` |
-| CHORD 💡 [[Paper](https://arxiv.org/pdf/2508.11408)] | [[Docs](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_mix_algo.html)] [[ToolACE Example](https://github.com/modelscope/Trinity-RFT/blob/main/examples/mix_chord/mix_chord_toolace.yaml)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/chord_policy_loss.py)] | `algorithm_type: mix_chord` |
+| Algorithm | Doc / Example | Source Code | Key Configurations |
+|:-----------|:-----------|:---------------|:-----------|
+| PPO [[Paper](https://arxiv.org/pdf/1707.06347)] | [[Doc](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_reasoning_basic.html)] [[Countdown Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/ppo_countdown)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/ppo_policy_loss.py)] | `algorithm_type: ppo` |
+| GRPO [[Paper](https://arxiv.org/pdf/2402.03300)] | [[Doc](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_reasoning_basic.html)] [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/grpo_gsm8k)]| [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/grpo_advantage.py)] | `algorithm_type: grpo` |
+| CHORD 💡 [[Paper](https://arxiv.org/pdf/2508.11408)] | [[Doc](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_mix_algo.html)] [[ToolACE Example](https://github.com/modelscope/Trinity-RFT/blob/main/examples/mix_chord/mix_chord_toolace.yaml)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/chord_policy_loss.py)] | `algorithm_type: mix_chord` |
 | REC Series 💡 [[Paper](https://arxiv.org/pdf/2509.24203)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/rec_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/rec_policy_loss.py)] | `algorithm_type: rec` |
 | RLOO [[Paper](https://arxiv.org/pdf/2402.14740)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/rloo_advantage.py)] | `algorithm_type: rloo` |
 | REINFORCE++ [[Paper](https://arxiv.org/pdf/2501.03262)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/reinforce_advantage.py)] | `algorithm_type: reinforceplusplus` |
 | GSPO [[Paper](https://arxiv.org/pdf/2507.18071)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/gspo_policy_loss.py)] | `algorithm_type: gspo` |
 | TOPR [[Paper](https://arxiv.org/pdf/2503.14286)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/topr_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/topr_policy_loss.py)] | `algorithm_type: topr` |
 | sPPO [[Paper](https://arxiv.org/pdf/2108.05828)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/sppo_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/sppo_loss_fn.py)] | `algorithm_type: sppo` |
-| ASYMRE [[Paper](https://arxiv.org/pdf/2506.20520)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/asymre_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/asymre_advantage.py)] | `algorithm_type: asymre` |
+| AsymRE [[Paper](https://arxiv.org/pdf/2506.20520)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/asymre_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/asymre_advantage.py)] | `algorithm_type: asymre` |
 | CISPO [[Paper](https://arxiv.org/pdf/2506.13585)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/cispo_policy_loss.py)] | `algorithm_type: cispo` |
 | SAPO [[Paper](https://arxiv.org/pdf/2511.20347)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/sapo_policy_loss.py)] | `algorithm_type: sapo` |
 

README_zh.md

@@ -45,13 +45,14 @@ Trinity-RFT 面向不同背景和目标的用户提供相应功能：
 * [2025-11] [[发布说明](https://github.com/modelscope/Trinity-RFT/releases/tag/v0.3.3)] Trinity-RFT v0.3.3 发布：修复若干 Bug。
 * [2025-11] 推出 [Learn-to-Ask](https://github.com/modelscope/Trinity-RFT/tree/main/examples/learn_to_ask)：利用离线专家数据，训练具备主动问询能力的对话智能体（[论文](https://arxiv.org/pdf/2510.25441)）.
 * [2025-11] 推出 [BOTS](https://github.com/modelscope/Trinity-RFT/tree/main/examples/bots)：在线 RL 任务选择，实现高效 LLM 微调（[论文](https://arxiv.org/pdf/2510.26374)）。
+* [2025-09] 我们的 [论文](https://arxiv.org/pdf/2509.24203) 揭示了 group-relative REINFORCE 及其变种（如 GRPO 和 AsymRE）的 off-policy 解释（[代码](https://github.com/modelscope/Trinity-RFT/tree/main/examples/rec_gsm8k)）。
+* [2025-08] 推出 [CHORD](https://github.com/modelscope/Trinity-RFT/tree/main/examples/mix_chord)：动态 SFT + RL 集成，实现进阶 LLM 微调（[论文](https://arxiv.org/pdf/2508.11408)）。
 
-<details><summary> more... </summary>
+<details><summary> More... </summary>
 <ul>
   <li> [2025-11] Trinity-RFT v0.3.2 发布：修复若干 Bug 并支持进阶的任务选择和调度。</li>
   <li> [2025-10] Trinity-RFT v0.3.1 发布：多阶段训练支持、改进的智能体 RL 示例、LoRA 支持、调试模式和全新 RL 算法。</li>
   <li> [2025-09] Trinity-RFT v0.3.0 发布：增强的 Buffer、FSDP2 & Megatron 支持，多模态模型，以及全新 RL 算法/示例。</li>
-  <li> [2025-08] 推出 [CHORD](https://github.com/modelscope/Trinity-RFT/tree/main/examples/mix_chord)：动态 SFT + RL 集成，实现进阶 LLM 微调（[论文](https://arxiv.org/pdf/2508.11408)）。</li>
   <li> [2025-08] Trinity-RFT v0.2.1 发布。</li>
   <li> [2025-07] Trinity-RFT v0.2.0 发布。</li>
   <li> [2025-07] 技术报告（arXiv v2）更新，包含新功能、示例和实验：[链接](https://arxiv.org/abs/2505.17826)。</li>
@@ -113,8 +114,8 @@ Trinity-RFT 面向不同背景和目标的用户提供相应功能：
 
 下表列出了 Trinity-RFT 支持的算法，更多算法请参考 [算法模块](https://github.com/modelscope/Trinity-RFT/blob/main/trinity/algorithm/algorithm.py)。您也可以通过自定义不同的模块来构建新算法，参见 [教程](https://modelscope.github.io/Trinity-RFT/zh/main/tutorial/develop_algorithm.html)。
 
-| 算法 [论文] | 文档/示例 | 核心代码 | 关键配置 |
-|-----------|-----------|---------------|-----------|
+| 算法 | 文档/示例 | 核心代码 | 关键配置 |
+|:-----------|:-----------|:---------------|:-----------|
 | PPO [[论文](https://arxiv.org/pdf/1707.06347)] | [[文档](https://modelscope.github.io/Trinity-RFT/zh/main/tutorial/example_reasoning_basic.html)] [[Countdown 例子](https://github.com/modelscope/Trinity-RFT/tree/main/examples/ppo_countdown)] | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/ppo_policy_loss.py)] | `algorithm_type: ppo` |
 | GRPO [[论文](https://arxiv.org/pdf/2402.03300)] | [[文档](https://modelscope.github.io/Trinity-RFT/zh/main/tutorial/example_reasoning_basic.html)] [[GSM8K 例子](https://github.com/modelscope/Trinity-RFT/tree/main/examples/grpo_gsm8k)]| [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/grpo_advantage.py)] | `algorithm_type: grpo` |
 | CHORD 💡 [[论文](https://arxiv.org/pdf/2508.11408)] | [[文档](https://modelscope.github.io/Trinity-RFT/zh/main/tutorial/example_mix_algo.html)] [[ToolACE 例子](https://github.com/modelscope/Trinity-RFT/blob/main/examples/mix_chord/mix_chord_toolace.yaml)] | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/chord_policy_loss.py)] | `algorithm_type: mix_chord` |
@@ -124,7 +125,7 @@ Trinity-RFT 面向不同背景和目标的用户提供相应功能：
 | GSPO [[论文](https://arxiv.org/pdf/2507.18071)] | - | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/gspo_policy_loss.py)] | `algorithm_type: gspo` |
 | TOPR [[论文](https://arxiv.org/pdf/2503.14286)] | [[GSM8K 例子](https://github.com/modelscope/Trinity-RFT/tree/main/examples/topr_gsm8k)] | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/topr_policy_loss.py)] | `algorithm_type: topr` |
 | sPPO [[论文](https://arxiv.org/pdf/2108.05828)] | [[GSM8K 例子](https://github.com/modelscope/Trinity-RFT/tree/main/examples/sppo_gsm8k)] | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/sppo_loss_fn.py)] | `algorithm_type: sppo` |
-| ASYMRE [[论文](https://arxiv.org/pdf/2506.20520)] | [[GSM8K 例子](https://github.com/modelscope/Trinity-RFT/tree/main/examples/asymre_gsm8k)] | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/asymre_advantage.py)] | `algorithm_type: asymre` |
+| AsymRE [[论文](https://arxiv.org/pdf/2506.20520)] | [[GSM8K 例子](https://github.com/modelscope/Trinity-RFT/tree/main/examples/asymre_gsm8k)] | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/asymre_advantage.py)] | `algorithm_type: asymre` |
 | CISPO [[论文](https://arxiv.org/pdf/2506.13585)] | - | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/cispo_policy_loss.py)] | `algorithm_type: cispo` |
 | SAPO [[论文](https://arxiv.org/pdf/2511.20347)] | - | [[代码](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/sapo_policy_loss.py)] | `algorithm_type: sapo` |
 

docs/sphinx_doc/source/main.md

@@ -70,18 +70,18 @@ Trinity-RFT provides functionalities for users with different backgrounds and ob
 
 We list some algorithms supported by Trinity-RFT in the following table. For more details, the concrete configurations are shown in the [Algorithm module](https://github.com/modelscope/Trinity-RFT/blob/main/trinity/algorithm/algorithm.py). You can also set up new algorithms by customizing different components, see [tutorial](/tutorial/develop_algorithm.md).
 
-| Algorithm [Paper] | Doc/Example | Source Code | Key Configurations |
-|-----------|-----------|---------------|-----------|
-| PPO [[Paper](https://arxiv.org/pdf/1707.06347)] | [[Docs](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_reasoning_basic.html)] [[Countdown Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/ppo_countdown)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/ppo_policy_loss.py)] | `algorithm_type: ppo` |
-| GRPO [[Paper](https://arxiv.org/pdf/2402.03300)] | [[Docs](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_reasoning_basic.html)] [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/grpo_gsm8k)]| [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/grpo_advantage.py)] | `algorithm_type: grpo` |
-| CHORD 💡 [[Paper](https://arxiv.org/pdf/2508.11408)] | [[Docs](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_mix_algo.html)] [[ToolACE Example](https://github.com/modelscope/Trinity-RFT/blob/main/examples/mix_chord/mix_chord_toolace.yaml)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/chord_policy_loss.py)] | `algorithm_type: mix_chord` |
+| Algorithm | Doc / Example | Source Code | Key Configurations |
+|:-----------|:-----------|:---------------|:-----------|
+| PPO [[Paper](https://arxiv.org/pdf/1707.06347)] | [[Doc](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_reasoning_basic.html)] [[Countdown Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/ppo_countdown)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/ppo_policy_loss.py)] | `algorithm_type: ppo` |
+| GRPO [[Paper](https://arxiv.org/pdf/2402.03300)] | [[Doc](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_reasoning_basic.html)] [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/grpo_gsm8k)]| [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/grpo_advantage.py)] | `algorithm_type: grpo` |
+| CHORD 💡 [[Paper](https://arxiv.org/pdf/2508.11408)] | [[Doc](https://modelscope.github.io/Trinity-RFT/en/main/tutorial/example_mix_algo.html)] [[ToolACE Example](https://github.com/modelscope/Trinity-RFT/blob/main/examples/mix_chord/mix_chord_toolace.yaml)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/chord_policy_loss.py)] | `algorithm_type: mix_chord` |
 | REC Series 💡 [[Paper](https://arxiv.org/pdf/2509.24203)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/rec_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/rec_policy_loss.py)] | `algorithm_type: rec` |
 | RLOO [[Paper](https://arxiv.org/pdf/2402.14740)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/rloo_advantage.py)] | `algorithm_type: rloo` |
 | REINFORCE++ [[Paper](https://arxiv.org/pdf/2501.03262)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/reinforce_advantage.py)] | `algorithm_type: reinforceplusplus` |
 | GSPO [[Paper](https://arxiv.org/pdf/2507.18071)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/gspo_policy_loss.py)] | `algorithm_type: gspo` |
 | TOPR [[Paper](https://arxiv.org/pdf/2503.14286)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/topr_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/topr_policy_loss.py)] | `algorithm_type: topr` |
 | sPPO [[Paper](https://arxiv.org/pdf/2108.05828)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/sppo_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/sppo_loss_fn.py)] | `algorithm_type: sppo` |
-| ASYMRE [[Paper](https://arxiv.org/pdf/2506.20520)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/asymre_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/asymre_advantage.py)] | `algorithm_type: asymre` |
+| AsymRE [[Paper](https://arxiv.org/pdf/2506.20520)] | [[GSM8K Example](https://github.com/modelscope/Trinity-RFT/tree/main/examples/asymre_gsm8k)] | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/advantage_fn/asymre_advantage.py)] | `algorithm_type: asymre` |
 | CISPO [[Paper](https://arxiv.org/pdf/2506.13585)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/cispo_policy_loss.py)] | `algorithm_type: cispo` |
 | SAPO [[Paper](https://arxiv.org/pdf/2511.20347)] | - | [[Code](https://github.com/modelscope/Trinity-RFT/tree/main/trinity/algorithm/policy_loss_fn/sapo_policy_loss.py)] | `algorithm_type: sapo` |