可自我验证的数学推理
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DeepSeek上新!首个奥数金牌水平的模型来了
Di Yi Cai Jing· 2025-11-28 00:22
Core Insights - DeepSeek has released a new model, DeepSeek-Math-V2, which is the first open-source model to achieve International Mathematical Olympiad (IMO) gold medal level performance [1] - The model outperforms Google's Gemini DeepThink in certain benchmarks, showcasing its capabilities in mathematical reasoning [1][5] Performance Metrics - DeepSeek-Math-V2 achieved 83.3% on IMO 2025 problems and 73.8% on CMO 2024 problems [4] - In the Putnam 2024 competition, it scored 98.3%, demonstrating exceptional performance [4] - On the Basic benchmark, Math-V2 scored nearly 99%, while Gemini DeepThink scored 89% [5] - In the Advanced subset, Math-V2 scored 61.9%, slightly below Gemini DeepThink's 65.7% [5] Research and Development Focus - The model emphasizes self-verification in mathematical reasoning, moving from a result-oriented approach to a process-oriented one [8] - DeepSeek aims to enhance the rigor and completeness of mathematical proofs, which is crucial for solving open problems [8] - The research indicates that self-verifying mathematical reasoning is a viable direction for developing more powerful AI systems [8] Industry Reaction - The release has generated significant interest, with comments highlighting DeepSeek's competitive edge over Google's model [9] - The industry is keenly awaiting further developments from DeepSeek, especially regarding their flagship model updates [10]
DeepSeek强势回归,开源IMO金牌级数学模型
3 6 Ke· 2025-11-27 23:34
Core Insights - DeepSeek has introduced a new model, DeepSeek-Math-V2, which aims to enhance self-verifiable mathematical reasoning capabilities in AI [1][2] - The model reportedly outperforms Gemini DeepThink, achieving gold medal-level performance in mathematical competitions [3] Model Development - DeepSeek-Math-V2 is based on the previous version, DeepSeek-Math-7b, which utilized 7 billion parameters to match the performance of GPT-4 and Gemini-Ultra [4] - The new model addresses limitations in current AI mathematical reasoning by focusing on the rigor of the reasoning process rather than just the accuracy of final answers [5][6] Self-Verification Mechanism - The model incorporates a self-verification system that includes a proof verification component, a meta-verification layer, and a self-evaluating generator [7][11] - The verification system is designed to assess the reasoning process in detail, providing feedback similar to human experts [8][10] Training and Evaluation - The training process involves a unique honest reward mechanism, where the model is incentivized to self-assess its performance and identify its own errors [11][15] - The model has demonstrated impressive results in various mathematical competitions, achieving high scores in IMO 2025, CMO 2024, and Putnam 2024 [16][17] Performance Metrics - In the IMO-ProofBench benchmark, DeepSeek-Math-V2 achieved nearly 99% accuracy in basic problems and performed competitively in advanced problems [18] - The model's dual improvement cycle between the verifier and generator significantly reduces the occurrence of hallucinations in large models [20] Future Implications - DeepSeek emphasizes that self-verifiable mathematical reasoning represents a promising research direction that could lead to the development of more powerful mathematical AI systems [20]
DeepSeek强势回归,开源IMO金牌级数学模型
机器之心· 2025-11-27 12:13
Core Insights - DeepSeek has released a new mathematical reasoning model, DeepSeek-Math-V2, which surpasses its predecessor, DeepSeek-Math-7b, in performance, achieving gold medal levels in mathematical competitions [5][21]. - The model addresses limitations in current AI mathematical reasoning by focusing on self-verification and rigorous proof processes rather than merely achieving correct final answers [7][25]. Model Development - DeepSeek-Math-V2 is based on the DeepSeek-V3.2-Exp-Base architecture and has shown improved performance compared to Gemini DeepThink [5]. - The previous version, DeepSeek-Math-7b, utilized 7 billion parameters and achieved performance comparable to GPT-4 and Gemini-Ultra [3]. Research Limitations - Current AI models often prioritize the accuracy of final answers, which does not ensure the correctness of the reasoning process [7]. - Many mathematical tasks require detailed step-by-step deductions, making the focus on final answers inadequate [7]. Self-Verification Mechanism - DeepSeek emphasizes the need for comprehensive and rigorous verification of mathematical reasoning [8]. - The model introduces a proof verification system that allows it to self-check and acknowledge its mistakes, enhancing its reliability [11][17]. System Design - The system consists of three roles: a proof verifier (teacher), a meta-verifier (supervisor), and a proof generator (student) [12][14][17]. - The proof verifier evaluates the reasoning process, while the meta-verifier checks the validity of the verifier's feedback, improving overall assessment accuracy [14]. Innovative Training Approach - The proof generator is trained to self-evaluate its solutions, promoting deeper reflection and correction of errors before finalizing answers [18]. - An honest reward mechanism encourages the model to admit mistakes, fostering a culture of self-improvement [18][23]. Automation and Evolution - DeepSeek has developed an automated process that allows the system to evolve independently, enhancing both the proof generator and verifier over time [20]. - The model's approach shifts from a results-oriented to a process-oriented methodology, focusing on rigorous proof examination [20]. Performance Metrics - DeepSeek-Math-V2 achieved impressive results in competitions, scoring 83.3% in IMO 2025 and 98.3% in Putnam 2024 [21][22]. - The model demonstrated near-perfect performance in the Basic benchmark of the IMO-ProofBench, achieving close to 99% accuracy [22]. Future Directions - DeepSeek acknowledges that while significant progress has been made, further work is needed to enhance the self-verification framework for mathematical reasoning [25].