FrontierMath Benchmark
Jump to navigation
Jump to search
A FrontierMath Benchmark is an AI system benchmark task that is a mathematics benchmark (for evaluating advanced mathematical reasoning capabilitys).
- AKA: Advanced Mathematics AI Benchmark, Research-Level Math Benchmark.
- Context:
- Task Input: Mathematics Problems, AI System, Evaluation Criteria
- Task Output: Solution Attempts, Performance Scores
- Task Performance Measure: Solution Accuracy, Reasoning Depth, Completion Rate
- ...
- It can (typically) assess Mathematical Reasoning through research problems.
- It can (typically) evaluate Problem Solving via novel challenges.
- It can (typically) measure Advanced Capability using expert validation.
- It can (typically) verify Solution Quality through automated checks.
- It can (typically) maintain Benchmark Integrity via unpublished problems.
- ...
- It can (often) span Mathematics Fields through diverse problems.
- It can (often) compare Model Performance via standardized tests.
- It can (often) highlight System Limitations through challenge problems.
- ...
- It can range from being a Simple Mathematics Task to being a Complex Mathematics Task, depending on its problem difficulty.
- It can range from being a Narrow Mathematics Domain to being a Broad Mathematics Domain, depending on its topic coverage.
- It can range from being a Quick Solution Task to being a Long-Form Solution Task, depending on its time requirement.
- It can range from being a Computational Mathematics Task to being a Theoretical Mathematics Task, depending on its problem type.
- ...
- Examples:
- Category Theory Benchmarks (mathematics systems for abstract reasoning tasks), such as proof verification systems.
- Algebraic Geometry Benchmarks (mathematics systems for geometric reasoning tasks), such as theorem proving systems.
- Number Theory Benchmarks (mathematics systems for numerical reasoning tasks), such as conjecture testing systems.
- Analysis Benchmarks (mathematics systems for analytical reasoning tasks), such as limit computation systems.
- Applied Mathematics Benchmarks (mathematics systems for practical reasoning tasks), such as problem solving systems.
- ...
- Counter-Examples:
- Basic Mathematics Benchmark, which tests elementary skills.
- GSM8K Benchmark, which evaluates high school mathematics.
- MATH Benchmark, which assesses undergraduate mathematics.
- Standardized Test Benchmark, which lacks research-level complexity.
- See: Mathematics Benchmark, AI System Evaluation, Mathematical Reasoning, Advanced Problem Solving, Research Mathematics.