本記事は、当社が開発・公開した数理推論データセット APTOinc/llm-math-reasoning-dataset の設計背景、仕様、検証結果、そして今後の展望をまとめたものです。 大規模言語モデル（LLM）は、近年その性能を飛躍的に向上させていますが、複数ステップの計算や厳密 ...

We present rStar-Math to demonstrate that small language models (SLMs) can rival or even surpass the math reasoning capability of OpenAI o1, without distillation from superior models. rStar-Math ...

Recent advances in Vision Language Models (VLMs) have shown significant progress in mathematical reasoning, yet they still face a critical bottleneck with problems that require visual assistance, such ...

Math Riddles are so challenging, but that makes them worthwhile to solve. Math riddles are logical problems that require strong analytical abilities, high IQ, knowledge of math concepts, and good ...

TL;DR: We enhance the mathematical reasoning ability of LLMs solely through Verifiable Reward filtering and the self-improvement training paradigm of DPO. The final model, Qwen2.5-7B-DPO-VP, ...

This math riddle on reasoning is designed to test your IQ. Can you find the placement of the number 100? Basic mathematical concepts such as addition, subtraction, multiplication, division, fractions, ...

Preparing for your KS2 maths SATs? This Year 6 reasoning quiz is designed to help you practise for your maths SATs tests with interactive questions including number, Roman numerals, fractions, ...

This course is intended for students who are not ready for or interested in the Pre-calculus/Calculus pathway their senior year but still want to continue developing their mathematical knowledge and ...