🚨 Qwen2.5-Math mainly supports solving English and Chinese math problems through CoT and TIR. We do not recommend using this series of models for other tasks.
Introduction
In August 2024, we released the first series of mathematical LLMs -
Qwen2-Math
- of our Qwen family. A month later, we have upgraded it and open-sourced
Qwen2.5-Math
series, including base models
Qwen2.5-Math-1.5B/7B/72B
, instruction-tuned models
Qwen2.5-Math-1.5B/7B/72B-Instruct
, and mathematical reward model
Qwen2.5-Math-RM-72B
.
Unlike Qwen2-Math series which only supports using Chain-of-Thught (CoT) to solve English math problems, Qwen2.5-Math series is expanded to support using both CoT and Tool-integrated Reasoning (TIR) to solve math problems in both Chinese and English. The Qwen2.5-Math series models have achieved significant performance improvements compared to the Qwen2-Math series models on the Chinese and English mathematics benchmarks with CoT.
While CoT plays a vital role in enhancing the reasoning capabilities of LLMs, it faces challenges in achieving computational accuracy and handling complex mathematical or algorithmic reasoning tasks, such as finding the roots of a quadratic equation or computing the eigenvalues of a matrix. TIR can further improve the model's proficiency in precise computation, symbolic manipulation, and algorithmic manipulation. Qwen2.5-Math-1.5B/7B/72B-Instruct achieve 79.7, 85.3, and 87.8 respectively on the MATH benchmark using TIR.
transformers>=4.37.0
for Qwen2.5-Math models. The latest version is recommended.
🚨 This is a must because
transformers
integrated Qwen2 codes since
4.37.0
.
For requirements on GPU memory and the respective throughput, see similar results of Qwen2
here
.
Quick Start
Qwen2.5-Math-72B-Instruct
is an instruction model for chatting;
Qwen2.5-Math-72B
is a base model typically used for completion and few-shot inference, serving as a better starting point for fine-tuning.
🤗 Hugging Face Transformers
Qwen2.5-Math can be deployed and infered in the same way as
Qwen2.5
. Here we show a code snippet to show you how to use the chat model with
transformers
:
from transformers import AutoModelForCausalLM, AutoTokenizer
model_name = "Qwen/Qwen2.5-Math-72B-Instruct"
device = "cuda"# the device to load the model onto
model = AutoModelForCausalLM.from_pretrained(
model_name,
torch_dtype="auto",
device_map="auto"
)
tokenizer = AutoTokenizer.from_pretrained(model_name)
prompt = "Find the value of $x$ that satisfies the equation $4x+5 = 6x+7$."# CoT
messages = [
{"role": "system", "content": "Please reason step by step, and put your final answer within \\boxed{}."},
{"role": "user", "content": prompt}
]
# TIR
messages = [
{"role": "system", "content": "Please integrate natural language reasoning with programs to solve the problem above, and put your final answer within \\boxed{}."},
{"role": "user", "content": prompt}
]
text = tokenizer.apply_chat_template(
messages,
tokenize=False,
add_generation_prompt=True
)
model_inputs = tokenizer([text], return_tensors="pt").to(device)
generated_ids = model.generate(
**model_inputs,
max_new_tokens=512
)
generated_ids = [
output_ids[len(input_ids):] for input_ids, output_ids inzip(model_inputs.input_ids, generated_ids)
]
response = tokenizer.batch_decode(generated_ids, skip_special_tokens=True)[0]
Citation
If you find our work helpful, feel free to give us a citation.
@article{yang2024qwen25mathtechnicalreportmathematical,
title={Qwen2.5-Math Technical Report: Toward Mathematical Expert Model via Self-Improvement},
author={An Yang and Beichen Zhang and Binyuan Hui and Bofei Gao and Bowen Yu and Chengpeng Li and Dayiheng Liu and Jianhong Tu and Jingren Zhou and Junyang Lin and Keming Lu and Mingfeng Xue and Runji Lin and Tianyu Liu and Xingzhang Ren and Zhenru Zhang},
journal={arXiv preprint arXiv:2409.12122},
year={2024}
}
Runs of mav23 Qwen2.5-Math-72B-Instruct-GGUF on huggingface.co
139
Total runs
0
24-hour runs
1
3-day runs
16
7-day runs
105
30-day runs
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