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Have LLMs Advanced Enough? A Challenging Problem Solving Benchmark For Large Language Models

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arxiv 2305.15074 v3 pith:BI74F3G7 submitted 2023-05-24 cs.CL cs.AI

classification cs.CLcs.AI
keywords benchmarkchallengingllmsmodelssolvingconceptsfailuregpt-4
verification ladder T0 review T1 audit T2 compute T3 formal
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The performance of large language models (LLMs) on existing reasoning benchmarks has significantly improved over the past years. In response, we present JEEBench, a considerably more challenging benchmark dataset for evaluating the problem solving abilities of LLMs. We curate 515 challenging pre-engineering mathematics, physics and chemistry problems from the highly competitive IIT JEE-Advanced exam. Long-horizon reasoning on top of deep in-domain knowledge is essential for solving problems in this benchmark. Our evaluation on various open-source and proprietary models reveals that the highest performance, even after using techniques like self-consistency, self-refinement and chain-of-thought prompting, is less than 40%. The typical failure modes of GPT-4, the best model, are errors in algebraic manipulation, difficulty in grounding abstract concepts into mathematical equations accurately and failure in retrieving relevant domain-specific concepts. We also observe that by mere prompting, GPT-4 is unable to assess risk introduced by negative marking for incorrect answers. For this, we develop a post-hoc confidence-thresholding method over self-consistency, which enables effective response selection. We hope that our challenging benchmark will guide future re-search in problem-solving using LLMs.

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Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Omni-MATH: A Universal Olympiad Level Mathematic Benchmark For Large Language Models

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    Omni-MATH supplies 4428 human-verified Olympiad math problems that expose top LLMs achieving only 52.55% to 60.54% accuracy on the most difficult items.

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    A user study finds that LLM reasoning traces and post-hoc explanations create false trust by increasing acceptance of incorrect answers, whereas contrastive dual explanations improve users' ability to detect errors.

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    A two-track Olympiad benchmark with deterministic integer answers and step-by-step proof grading shows frontier LLMs drop sharply versus older math benchmarks.

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    A step-level reward framework using GPT-4o as a training-time verifier reduces reasoning errors in small language models on physics benchmarks by 10-20% over baselines.

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    Position paper claims multimodal LLMs can significantly advance scientific reasoning and proposes a four-stage roadmap plus challenges and suggestions.

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