Update app.py

app.py

@@ -40,15 +40,6 @@ with gr.Blocks(css="""
     """)
     gr.Markdown(
     """
-[![Paper](https://img.shields.io/badge/paper-A42C25?style=for-the-badge&logo=arxiv&logoColor=white)](https://arxiv.org/pdf/2505.05315)
-[![Hugging Face Collection](https://img.shields.io/badge/E1-fcd022?style=for-the-badge&logo=huggingface&logoColor=000&labelColor)](https://huggingface.co/collections/Salesforce/elastic-reasoning-682b4bba108d6ea0a8bab275)
-[![Github](https://img.shields.io/badge/Elastic_Reasoning-000000?style=for-the-badge&logo=github&logoColor=000&logoColor=white)](https://github.com/SalesforceAIResearch/Elastic-Reasoning)
-
-## Table of Contents
-- [Introduction](#introduction)
-- [Environment Setup](#environment-setup)
-- [Training](#training)
-- [Evaluation](#evaluation)
 
 ## Introduction
 We propose **Elastic Reasoning**, a novel framework for scalable chain of thoughts
@@ -75,7 +66,40 @@ training.
         gr.Image("figs/aime.png", label="Framework", show_label=False, elem_id="small")
         gr.Image("figs/livecode.png", label="Framework", show_label=False, elem_id="small")
     gr.Image("figs/codetable.png", label="Framework", show_label=False, elem_id="my-img")
+    gr.HTML("""
+<div align="center">
+<div>
+<h3>Part 1:Fractured Chain-of-Thought (Scalable Chain of Thoughts via Elastic Reasoning) 🌟
+</div>
+<br>
+</div>
+    """)
+    gr.HTML("""
+<div style="display: flex; justify-content: center; gap: 8px; flex-wrap: wrap;">
+  <a href="https://arxiv.org/pdf/2505.12992">
+    <img src="https://img.shields.io/badge/paper-A42C25?style=for-the-badge&logo=arxiv&logoColor=white" />
+  </a>
+  <a href="https://github.com/BaohaoLiao/frac-cot">
+    <img src="https://img.shields.io/badge/frac-cot-000000?style=for-the-badge&logo=github&logoColor=white" />
+  </a>
+</div>
+    """)
+
+    gr.Markdown(
+    """
 
+## Introduction
+We propose **Elastic Reasoning**, a novel framework for scalable chain of thoughts
+that explicitly separates reasoning into two phases—`thinking and solution`—with
+independently allocated budgets. At test time, Elastic Reasoning prioritize that
+completeness of solution segments, significantly improving reliability under tight
+resource constraints. To train models that are robust to truncated thinking, we
+introduce a lightweight `budget-constrained rollout` strategy, integrated into GRPO,
+which teaches the model to reason adaptively when the thinking process is cut
+short and generalizes effectively to unseen budget constraints without additional
+training.
+    """)
+    gr.Image("figs/framework.png", label="Framework", show_label=False, elem_id="my-img")
     gr.Markdown(
     """
 ## Citation
@@ -88,6 +112,16 @@ training.
   journal={arXiv preprint arXiv:2505.05315},
   year={2025}
 }
+
+@misc{liao2025fracturedchainofthoughtreasoning,
+      title={Fractured Chain-of-Thought Reasoning}, 
+      author={Baohao Liao and Hanze Dong and Yuhui Xu and Doyen Sahoo and Christof Monz and Junnan Li and Caiming Xiong},
+      year={2025},
+      eprint={2505.12992},
+      archivePrefix={arXiv},
+      primaryClass={cs.LG},
+      url={https://arxiv.org/abs/2505.12992}, 
+}
 ```
     """)