mlsanityData to 7 Oct 2026

SkyMath: Technical Report

arXiv 2310.16713 ↗First posted 25 Oct 2023cs.CL cs.AIcited by 1

On the map: LLM reasoning → Mathematical reasoning

Abstract (arXiv)

Large language models (LLMs) have shown great potential to solve varieties of natural language processing (NLP) tasks, including mathematical reasoning. In this work, we present SkyMath, a large language model for mathematics with 13 billion parameters. By applying self-compare fine-tuning, we have enhanced mathematical reasoning abilities of Skywork-13B-Base remarkably. On GSM8K, SkyMath outperforms all known open-source models of similar size and has established a new SOTA performance.

Key facts. Cited by 1 paper in the map (data through 7 Oct 2026). Placed in Mathematical reasoning, one of 17 directions in LLM reasoning. Builds on 53 of its 62 references that are in the map. First posted on arXiv 25 Oct 2023.

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53 of 62 references.

Closest ancestors · 2

Same direction, newest first

  1. 2023OpenWebMath: An Open Dataset of High-Quality Mathematical Web Text10 Oct
  2. 2023WizardMath: Empowering Mathematical Reasoning for Large Language Models via Reinforced Evol-Instruct18 Aug

Other references · 51

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  7. 2022Chain-of-Thought Prompting Elicits Reasoning in Large Language Modelscited by 12,302
  8. 2021Training Verifiers to Solve Math Word Problemscited by 9,743
  9. 2021Evaluating Large Language Models Trained on Codecited by 8,053
  10. 2023Visual Instruction Tuningcited by 7,792
  11. 2020Scaling Laws for Neural Language Modelscited by 6,411
  12. 2022Self-Consistency Improves Chain of Thought Reasoning in Language Modelscited by 5,601
38 more
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  5. 2023InstructBLIP: Towards General-purpose Vision-Language Models with Instruction Tuningcited by 2,855
  6. 2023MiniGPT-4: Enhancing Vision-Language Understanding with Advanced Large Language Modelscited by 2,689
  7. 2023A Survey of Large Language Modelscited by 2,537
  8. 2022Emergent Abilities of Large Language Modelscited by 2,483
  9. 2021Multitask Prompted Training Enables Zero-Shot Task Generalizationcited by 1,462
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  17. 2023StarCoder: may the source be with you!cited by 790
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  23. 2022InCoder: A Generative Model for Code Infilling and Synthesiscited by 492
  24. 2023MAmmoTH: Building Math Generalist Models through Hybrid Instruction Tuningcited by 483
  25. 2022Complexity-Based Prompting for Multi-Step Reasoningcited by 387
  26. 2023CodeT5+: Open Code Large Language Models for Code Understanding and Generationcited by 327
  27. 2023InternLM-XComposer: A Vision-Language Large Model for Advanced Text-image Comprehension and Compositioncited by 297
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  32. 2023Chatlaw: A Multi-Agent Legal Assistant based on a Role-Aligned Mixture-of-Experts Architecturecited by 119
  33. 2023CMATH: Can Your Language Model Pass Chinese Elementary School Math Test?cited by 89
  34. 2023Goat: Fine-tuned LLaMA Outperforms GPT-4 on Arithmetic Taskscited by 84
  35. 2023Instruction Mining: Instruction Data Selection for Tuning Large Language Modelscited by 57
  36. 2023LLaSM: Large Language and Speech Modelcited by 56
  37. 2023Radiology-GPT: A Large Language Model for Radiologycited by 44
  38. 2023LLark: A Multimodal Instruction-Following Language Model for Musiccited by 29

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Citing papers per year: 2023: 1.

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  1. 2024Skywork-Math: Data Scaling Laws for Mathematical Reasoning in Large Language Models -- The Story Goes On
  2. 2024ConceptMath: A Bilingual Concept-wise Benchmark for Measuring Mathematical Reasoning of Large Language Models
  3. 2024LLM Reasoning Engine: Specialized Training for Enhanced Mathematical Reasoning
  4. 2024FineMath: A Fine-Grained Mathematical Evaluation Benchmark for Chinese Large Language Models
  5. 2024MathHay: An Automated Benchmark for Long-Context Mathematical Reasoning in LLMs
  6. 2025Can LLMs textitunderstand Math? -- Exploring the Pitfalls in Mathematical Reasoning
  7. 2024Logic Contrastive Reasoning with Lightweight Large Language Model for Math Word Problems
  8. 2025Evaluation of LLMs for mathematical problem solving