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Mathematical Reasoning on MATH (Accuracy)

94.2AccuracySelf-Reminder
69.65676.02882.488.772May 30, 2025Jul 12, 2025Aug 24, 2025Oct 6, 2025Nov 18, 2025Dec 31, 2025Feb 12, 2026

Evaluation results

MethodLinks
Self-ReminderBackbone=Qwen3-14B2026.0194.2—
InstructBackbone=Qwen3-14B2026.0192.8—
Self-GuardBackbone=Qwen3-14B2026.0192.8—
ELPO-4BStarting Checkpoint=Inst, Backbone Architecture Family=Qwen3-4B2026.0292.8—
ReasoningGuardBackbone=Qwen3-8B2026.0192.4—
SafeKeyBackbone=Qwen3-14B2026.0192.4—
ReasoningGuardBackbone=Qwen3-14B2026.0192.4—
InstructBackbone=Qwen3-8B2026.0192.2—
STAR-1Backbone=Qwen3-14B2026.0192—
DemyAgent-4BStarting Checkpoint=Inst, Backbone Architecture Family=Qwen3-4B2026.0291.6—
ELPO-7BStarting Checkpoint=Inst, Backbone Architecture Family=Qwen2.5-7B2026.0291.2—
Self-ReminderBackbone=Qwen3-8B2026.0191—
DemyAgentStarting Checkpoint=Inst, Backbone Architecture Family=Qwen2.5-7B2026.0290.8—
Self-GuardBackbone=Qwen3-4B2026.0190.6—
SafeKeyBackbone=Qwen3-8B2026.0190.6—
STAR-1Backbone=Qwen3-8B2026.0190.4—
SafeChainBackbone=Qwen3-14B2026.0190.4—
CIRStarting Checkpoint=Math, Backbone Architecture Family=Qwen2.5-7B2026.0290.4—
ReasoningGuardBackbone=Qwen3-4B2026.0190.2—
Self-GuardBackbone=Qwen3-8B2026.0190.2—
AEPOStarting Checkpoint=Inst, Backbone Architecture Family=Qwen2.5-7B2026.0290—
Self-ReminderBackbone=Qwen3-4B2026.0189.8—
InstructBackbone=Qwen3-4B2026.0189.6—
STAR-1Backbone=Qwen3-4B2026.0188.9—
GRPO w/Clip-higher + LIEBackbone=Qwen3-4B-Base, Variant=Clip-higher, Strategy=Length-Incentivized Exploration2026.0288.8—
Reinforce++Starting Checkpoint=Instruct, Backbone Architecture Family=Qwen2.5-7B2026.0288.8—
DAPOStarting Checkpoint=Instruct, Backbone Architecture Family=Qwen2.5-7B2026.0288.8—
ARPOStarting Checkpoint=Inst, Backbone Architecture Family=Qwen2.5-7B2026.0288.8—
PADsource_model=Qwen3-32B, training_dataset=gsm8k2026.0288.7—
PADsource_model=Qwen3-8B, training_dataset=gsm8k2026.0288.41—
PADsource_model=Gemma3-27B-it, training_dataset=gsm8k2026.0288.4—
GSPO + LIEBackbone=Qwen3-4B-Base, Strategy=Length-Incentivized Exploration2026.0288.4—
GRPOStarting Checkpoint=Inst, Backbone Architecture Family=Qwen2.5-7B2026.0287.8—
ToRLStarting Checkpoint=Math-Inst, Backbone Architecture Family=Qwen2.5-7B2026.0287.8—
RSFTsource_model=Gemma3-27B-it, training_dataset=gsm8k2026.0287.64—
GIGPOStarting Checkpoint=Inst, Backbone Architecture Family=Qwen2.5-7B2026.0287.6—
RSFTsource_model=Qwen3-8B, training_dataset=gsm8k2026.0287.19—
Pass@8 (Upper Bound)Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-8, Bound=Upper Bound2026.0187—
DAsource_model=Qwen3-8B, training_dataset=gsm8k2026.0286.41—
GRPO w/Clip-higherBackbone=Qwen3-4B-Base, Variant=Clip-higher2026.0286.4—
DAsource_model=Qwen3-32B, training_dataset=gsm8k2026.0286.2—
SafeChainBackbone=Qwen3-8B2026.0186.2—
DAsource_model=Gemma3-27B-it, training_dataset=gsm8k2026.0286.05—
RSFTsource_model=Qwen3-32B, training_dataset=gsm8k2026.0285.97—
SafeChainBackbone=Qwen3-4B2026.0185.6—
GSPOBackbone=Qwen3-4B-Base2026.0285.2—
GRPO + LIEBackbone=Qwen3-4B-Base, Strategy=Length-Incentivized Exploration2026.0285—
Pass@8 (Upper Bound)Policy Model=Qwen2.5-7B-Instruct2026.0184.2—
Qwen2.5-Math-7B-NAITTraining Samples=128K, Aggregation Method=Mean, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0182.1—
Majority Vote@8Policy Model=Qwen2.5-14B-Instruct, Strategy=Majority Voting, Samples=82026.0181.8—
Qwen2.5-Math-PRM-7BTraining Samples=1500K, Aggregation Method=Mean, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0181.6—
Qwen3-4BStarting Checkpoint=Inst, Reasoning Strategy=TIR Reasoning, Backbone Architecture Family=Qwen3-4B2026.0281.5—
FlowSteerFramework=Ours, Backbone=4o-mini2026.0281.25—
RMoAModel=GPT-4o2025.0581.16—
EurusPRM-Stage2Training Samples=693K, Aggregation Method=Sum, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0180.6—
Skywork-PRM-Qwen2.5-7BTraining Samples=N/A, Aggregation Method=Mean, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0180.6—
Skywork-PRM-Qwen2.5-7BPolicy Model=Qwen2.5-7B-Instruct, Training Samples=-, Aggregation Method=Mean2026.0180.6—
GRPOBackbone=Qwen3-4B-Base2026.0280.4—
Qwen3-4BStarting Checkpoint=Inst, Reasoning Strategy=Self-Contained Reasoning, Backbone Architecture Family=Qwen3-4B2026.0280.4—
Qwen2.5-Math-7B-MCRDTraining Samples=128K, Aggregation Method=Mean, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0180.2—
Qwen2.5-Math-7B-NAITPolicy Model=Qwen2.5-7B-Instruct, Training Samples=128K, Aggregation Method=Mean2026.0180.1—
MoAModel=GPT-4o2025.0580.08—
RLHFlow-PRM-Mistral-8BTraining Samples=273K, Aggregation Method=Mean, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0180—
Qwen2.5-Math-PRM-7BPolicy Model=Qwen2.5-7B-Instruct, Training Samples=1500K, Aggregation Method=Mean2026.0179.8—
GSPO (No Constraint)Backbone=Qwen2.5-7B2026.0179.8—
EurusPRM-Stage1Policy Model=Qwen2.5-7B-Instruct, Training Samples=463K, Aggregation Method=Min-Max2026.0179.6—
RLHFlow-PRM-DeepSeek-8BTraining Samples=253K, Aggregation Method=Mean, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0179.4—
EurusPRM-Stage1Training Samples=463K, Aggregation Method=Min, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0179.4—
EurusPRM-Stage2Policy Model=Qwen2.5-7B-Instruct, Training Samples=693K, Aggregation Method=Sum2026.0179.2—
Majority Vote@8Policy Model=Qwen2.5-7B-Instruct2026.0178.6—
Qwen2.5-7BStarting Checkpoint=Inst, Reasoning Strategy=TIR Reasoning, Backbone Architecture Family=Qwen2.5-7B2026.0278.2—
SMoAModel=GPT-4o2025.0578.08—
GreedyPolicy Model=Qwen2.5-14B-Instruct, Strategy=Greedy Search2026.0178—
CARE-GSPOBackbone=Qwen2.5-7B2026.0177.6—
Qwen2.5-Math-7B-MCRDPolicy Model=Qwen2.5-7B-Instruct, Training Samples=128K, Aggregation Method=Mean2026.0177.5—
RMoAModel=Qwen2.5-7B-Instruct2025.0577.2—
SMoAModel=Qwen2.5-7B-Instruct2025.0576.98—
RLHFlow-PRM-DeepSeek-8BPolicy Model=Qwen2.5-7B-Instruct, Training Samples=253K, Aggregation Method=Mean2026.0176.8—
GPT-4oModel=GPT-4o2025.0576.6—
SafeKeyBackbone=Qwen3-4B2026.0176.6—
Math-Shepherd-PRM-7BPolicy Model=Qwen2.5-7B-Instruct, Training Samples=445K, Aggregation Method=Mean2026.0176.6—
RLHFlow-PRM-Mistral-8BPolicy Model=Qwen2.5-7B-Instruct, Training Samples=273K, Aggregation Method=Mean2026.0176.6—
Router-R1Framework=Agent+RL, Backbone=4o-mini2026.0276.56—
Math-Shepherd-PRM-7BTraining Samples=445K, Aggregation Method=Mean, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0176.2—
Qwen2.5-Math-7B-MCPolicy Model=Qwen2.5-7B-Instruct, Training Samples=128K, Aggregation Method=Mean2026.0176.2—
DAPO (No Constraint)Backbone=Qwen2.5-7B2026.0176.1—
Qwen2.5-Math-7B-MCTraining Samples=128K, Aggregation Method=Mean, Policy Model=Qwen2.5-14B-Instruct, Strategy=Best-of-82026.0175.9—
Qwen2.5-7BStarting Checkpoint=Inst, Reasoning Strategy=Self-Contained Reasoning, Backbone Architecture Family=Qwen2.5-7B2026.0275.5—
Pass@8 (Upper Bound)Policy Model=Qwen2.5-3B-Instruct, Evaluation Protocol=Pass@82026.0175.4—
MoAModel=Qwen2.5-7B-Instruct2025.0575.28—
Qwen2.5-7B-InstructModel=Qwen2.5-7B-Instruct2025.0574.94—
GreedyPolicy Model=Qwen2.5-7B-Instruct2026.0174—
Majority Vote@8Policy Model=Qwen2.5-3B-Instruct, Evaluation Protocol=Majority Vote@82026.0174—
CARE-DAPOBackbone=Qwen2.5-7B2026.0174—
Alpha-steerBackbone=Qwen3-4B2026.0173.4—
Alpha-steerBackbone=Qwen3-14B2026.0173.4—
GRPO (No Constraint)Backbone=Qwen2.5-7B2026.0172.4—
OrchestratorFramework=Agent+RL, Backbone=4o-mini2026.0272.26—
AgentflowFramework=Agent+RL, Backbone=4o-mini2026.0271.87—
Skywork-PRM-Qwen2.5-7BPolicy Model=Qwen2.5-3B-Instruct, Evaluation Protocol=Best-of-8, Aggregation Method=Mean2026.0170.6—