Discover more from So Essentially Substack
Solving and Verifying Math Word Problems with GPT-4
How can GPT-4 get at solving math word problems?
"Math words can be converted to coding problems and effectively solved with GPT-4!"
Researchers from multiple Hong Kong and China Universities have evaluated GPT-4 on how good it does with math problems of varying difficulty levels. Specifically, they wanted to explore the effect of code on enhancing LLMs’ reasoning capability by introducing different constraints on the Code Usage Frequency of GPT-4 Code Interpreter.
Here’s the main question they explored:
Can we fully exploit the code generation and self-debugging mechanisms in GPT4-Code, so that it can automatically verify and correct its solutions, without extra assistance from other models or users?
As per the paper
They created Prompts to restrict the amount of code that could be used to solve a specific problem from the MATH dataset
They introduced the idea of “self-debugging” allowing the solution to evaluate its own inconsistent answers through code testing and considering analogous solutions
They proposed the technique termed explicit code-based self-verification
(CSV). This method prompts GPT4-Code to validate its answer through code generation explicitly
Here are the evaluation results from the paper
The researchers had some interesting takeaways:
From the analysis of code usage frequency and accuracy, they determined that GPT4-Code’s skill in solving math problems can be largely attributed to its ability
to generate and execute code, as well as its effectiveness in adjusting and rectifying solutions when confronted with implausible execution outputs
They would like to continue this research and evaluation with other LLMs
With GPT-4 Code Interpreter and CSV, they achieved an impressive
zero-shot accuracy on the MATH dataset (53.9% → 84.3%)
Thanks for reading So Essentially Substack! Subscribe for free to receive new posts and support my work.