DeepSeek-R1:IncentivizingReasoningCapabilityinLLMsviaReinforcementLearningDeepSeek-AIresearch@deepseek.comAbstractWeintroduceourfirst-generationreasoningmodels,DeepSeek-R1-ZeroandDeepSeek-R1.DeepSeek-R1-Zero,amodeltrainedvialarge-scalereinforcementlearning(RL)withoutsuper-visedfine-tuning(SFT)asapreliminarystep,demonstratesremarkablereasoningcapabilities.ThroughRL,DeepSeek-R1-Zeronaturallyemerg...