Arithmo2-Mistral-7B

Arithmo2-Mistral-7B model improves initially released Arithmo-Mistral-7B model on both GSM8K and MATH benchmarks. Specifically, there is absolute improvement of:

• +1.7% on GSM8K
• +3.0% on GSM8K PoT
• +1.9% on MATH

This repo contains final merged model. If you are interested in LoRA adapter, use LoRA Adapter instead.

Model Description

• Project GitHub Page: https://github.com/akjindal53244/Arithmo
• Developed by: Ashvini Kumar Jindal
• Funded by: self-work
• Model type: fine-tuned using QLoRA on Single GPU
• Language(s) (NLP): English
• Finetuned from model: mistralai/Mistral-7B-v0.1

Results

Arithmo2-Mistral-7B is improved version of Arithmo-Mistral-7B model and is competitive with full fine-tuned state-of-the-art 7B Mathematical Reasoning models. Refer to Comparing Arithmo models with other SFT LLM models section for more details.

<table> <thead> <tr> <th>Prompt Approach</th> <th>GSM8k</th> <th>MATH</th> </tr> </thead> <tbody> <tr> <td>Zero-Shot CoT</td> <td><b>76.4</b></td> <td><b>27.2</b></td> </tr> <tr> <td>Zero-Shot PoT</td> <td><b>74.2</b></td> <td>-</td> </tr> </tbody> </table>

• Zero-Shot CoT: On providing a question as prompt, model generates reasoning steps to solve the question along with answer. We check if answer matches with ground-truth.
• Zero-Shot PoT: We prompt the model to generate a Python program for the given question. During inference, we execute the Python program generated by the model and check if the program output matches with ground-truth answer.

Installation

pip install transformers >=4.34.0
pip install accelerate
pip install sentencepiece
pip install protobuf

# If you are GPU poor like me
pip install torch torchvision torchaudio --index-url https://download.pytorch.org/whl/cpu

# If you have a GPU.
pip install --pre torch --index-url https://download.pytorch.org/whl/nightly/cu118
pip install scipy
pip install bitsandbytes

How to query the model

# Set `run_model_on_gpu` to `False` if you are running on CPU. Model will generate reasoning steps with answer for your question. If you want to generate Python program, uncomment line-69 that adds a Python prompt.
# This script automatically does formatting for you, so you just need to type question (eg: `What is 2+2?`) without any prefix like `Question:`, etc.**

$ python query_model.py

Note: Above script automatically does formatting for you, so you just need to type question (eg: What is 2+2?) without any prefix like Question:, etc. Checkout query_model.py for more details. <br><br>

Sample Input:

Question: There are total 10 children. I have to give 1 apple to first child, 2 apples to second child, 3 apples to third child, and so on. How many apples do I need?

Model Output:

Answer: The total number of apples needed is the sum of the first 10 positive integers.
This can be calculated using the formula for the sum of an arithmetic series:
\[S = \frac{n}{2}(a_1 + a_n),\]
where $S$ is the sum, $n$ is the number of terms, $a_1$ is the first term, and $a_n$ is the last term.
In this case, $n = 10$, $a_1 = 1$, and $a_n = 10$.
Plugging these values into the formula, we get:
\[S = \frac{10}{2}(1 + 10) = 5(11) = \boxed{55}.\]
The answer is: 55

Arithmo2-Mistral-7B is trained with same format as Arithmo-Mistral-7B:

CoT Format (generate reasoning steps with answer):

Question: <question>

Answer:

PoT Format (generate a python program):

Question: <question> <python_prompt>

Answer:

It will perform best if queried in this way with your own script.

Comparing Arithmo models with other SFT LLM models

Results for all models except Arithmo2-Mistral-7B are taken from MetaMath repository.

If you are interested in reproducing the results, visit https://github.com/akjindal53244/Arithmo#reproducing-results section.

Support My Work

Building LLMs takes time and resources; if you find my work interesting, your support would be epic! <a href="https://www.buymeacoffee.com/a_little_learner" target="_blank"><img src="https://cdn.buymeacoffee.com/buttons/v2/default-yellow.png" alt="Buy Me A Coffee" style="height: 60px !important;width: 217px !important;" ></a>

Citation

To cite Arithmo models:

@misc{jindal_2023_arithmo,
  author = {Jindal, Ashvini},
  title = {Arithmo-Mistral-7B: Mathematical Reasoning Model},
  howpublished = {Hugging Face},
  month = {October},
  year = {2023},
  url = {https://huggingface.co/akjindal53244/Arithmo-Mistral-7B}
}

<h2 id="References">References</h2>

@article{yu2023metamath,
  title={MetaMath: Bootstrap Your Own Mathematical Questions for Large Language Models},
  author={Yu, Longhui and Jiang, Weisen and Shi, Han and Yu, Jincheng and Liu, Zhengying and Zhang, Yu and Kwok, James T and Li, Zhenguo and Weller, Adrian and Liu, Weiyang},
  journal={arXiv preprint arXiv:2309.12284},
  year={2023}
}

@article{Yue2023mammoth,
  title={MAmmoTH: Building math generalist models through hybrid instruction tuning},
  author={Xiang Yue, Xingwei Qu, Ge Zhang, Yao Fu, Wenhao Huang, Huan Sun, Yu Su, and Wenhu Chen},
  journal={arXiv preprint arXiv:2309.05653},
  year={2023}
}

@article{mishra2022lila,
  title={Lila: A unified benchmark for mathematical reasoning},
  author={Swaroop Mishra, Matthew Finlayson, Pan Lu, Leonard Tang, Sean Welleck, Chitta Baral, Tanmay Rajpurohit, Oyvind Tafjord, Ashish Sabharwal, Peter Clark, and Ashwin Kalyan},
  journal={arXiv preprint arXiv:2210.17517},
  year={2022}
}