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Multimodal Reasoning on MathVerse

68.5AccuracyPAPOG
43.74850.17456.663.026Jun 5, 2025Aug 7, 2025Oct 10, 2025Dec 13, 2025Feb 14, 2026Apr 19, 2026Jun 22, 2026

Evaluation results

MethodLinks
PAPOGBackbone=Qwen2.5-VL-7B2026.0668.5—
CFPOGBackbone=Qwen2.5-VL-7B, Hyperparameters=gamma=0.02 + No Ent2026.0668.47—
GRPOBackbone=Qwen2.5-VL-7B2026.0666.51—
OpenMMReasoner-7BEvaluation Source=original paper2026.0563.8—
AnE-3rdTraining Stage=Round 32026.0562.3—
AnE-2ndTraining Stage=Round 22026.0560.9—
ADHintEvaluation Source=original paper2026.0560.6—
AnE-1stTraining Stage=Round 12026.0560.5—
NPOstage=early + late-stage2026.0460—
GRPOtype=pure on-policy2026.0459.52—
NPOstage=early-stage only2026.0459.38—
AutoNPO2026.0459.11—
RLEPtype=far future2026.0458.91—
ExGRPOtype=historical replay2026.0456.89—
Qwen2.5-VL-72B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=GPT-OSS-120B-A5B2025.0656.2—
PyVision-ImageTooling Type=Dynamic Tooling2026.0255.8—
SRPOEvaluation Source=original paper2026.0555.8—
LUFFYtype=external teacher2026.0455.58—
MMR1Evaluation Source=original paper2026.0555.4—
TGRL-DAPOData=2.1K, Base Model=Qwen-2.5-VL-7B2026.0355.21—
Qwen3-VL-8B-Instruct2026.0454.61—
VL-Rethinker-72BModel Category=Open-Source2025.0654.6—
Athena-PRMPolicy Model=Qwen2.5-VL-72B, Best-of-N Evaluation=82025.0654.6—
Qwen2.5-VL-32B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=Qwen3-8B2025.0654.4—
Qwen2.5-VL-32B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=GPT-OSS-120B-A5B2025.0654.3—
Perception-R1Data=1.4K2026.0354.3—
VL-RethinkerEvaluation Source=original paper2026.0554.2—
Revisual-R1Evaluation Source=original paper2026.0553.6—
Preliminary RLTraining Phase=Warm-up2026.0553.6—
TGRL-DAPOData=39K, Base Model=Qwen-2.5-VL-7B2026.0353.51—
NoisyRolloutData=6.4K2026.0353—
SPARK-VL-7BEvaluation Source=original paper2026.0553—
DeepEyes-v2Tooling Type=Dynamic Tooling2026.0252.7—
DeepEyesV2Tool=General, Param Size=7B2025.1152.7—
ReVisual-R1-7BModel Category=Open-Source2025.0652.7—
TGRL-GRPOData=39K, Base Model=Qwen-2.5-VL-7B2026.0352.5—
Vision-R1Evaluation Source=reproduced2026.0552.4—
Qwen2.5-VL-7B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=Qwen3-8B2025.0652.2—
MM-Eureka-32BModel Category=Open-Source2025.0651.5—
Athena-ORMPolicy Model=Qwen2.5-VL-72B, Best-of-N Evaluation=82025.0651.2—
TGRL-GRPOData=2.1K, Base Model=Qwen-2.5-VL-7B2026.0351.08—
InternVL3-78BModel Category=Open-Source2025.0651—
Metis-RISEEvaluation Source=original paper2026.0551—
GRPOData=2.1K, Base Model=Qwen-2.5-VL-7B2026.0350.8—
DAPOData=39K, Base Model=Qwen-2.5-VL-7B2026.0350.8—
Self-consistencyPolicy Model=Qwen2.5-VL-72B, Best-of-N Evaluation=82025.0650.8—
DAPOData=2.1K, Base Model=Qwen-2.5-VL-7B2026.0350.6—
GRPOData=39K, Base Model=Qwen-2.5-VL-7B2026.0350.46—
MM-Eureka-Qwen-7BTraining Protocol=Zero RL2025.1250.3—
ThinkLiteData=11K2026.0350.2—
Ovis2-34BModel Category=Open-Source2025.0650.1—
Qwen2.5-VL-32BReasoning Framework=Standard2025.0650.1—
VLAA-ThinkerData=25K2026.0349.9—
MSSRModel=Qwen2.5-VL-7B, Training Protocol=Zero RL2025.1249.8—
LLaVA-Critic-R1Evaluation Source=original paper2026.0549.7—
Qwen2.5-VL-7B-InstructEvaluation Source=original paper2026.0549.2—
GPT-4.1VLM Category=Proprietary VLMs2025.0948.9—
Bagel-Zebra-CoT-7BVLM Category=Inner Visual Thought VLMs2025.0948.8—
Qwen2.5-VL-3B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=Qwen3-8B2025.0648.6—
AIRTool=Yes2026.0648.6—
GRPOModel=Qwen2.5-VL-7B, Training Protocol=Zero RL2025.1248.5—
VLAA-Thinker-7BTraining Protocol=SFT + RL2025.1248.2—
InternVL3-38BModel Category=Open-Source2025.0648.2—
QVQ-72B-PreviewModel Category=Open-Source2025.0648.2—
OmniCaptionerMethod Category=Caption-then-Reason2025.0648—
OpenVLThinkerData=50K2026.0348—
OpenVLThinkerEvaluation Source=original paper2026.0547.9—
RLOOModel=Qwen2.5-VL-7B, Training Protocol=Zero RL2025.1247.8—
Gemini-2.0-FlashModel Category=Proprietary2025.0647.7—
VL-Rethinker-7BModel Category=Open-Source2025.0647.5—
ThinkLite-VL-7BTraining Protocol=Zero RL2025.1247.3—
DeepEyesTooling Type=Static Toolset2026.0247.3—
DeepEyesTool=Crop, Param Size=7B2025.1147.3—
Qwen2.5-VL-72BModel Category=Open-Source2025.0647.3—
DeepEyes-7BMethod Category=Tool-enabled2025.0647.3—
Qwen2.5-VL-72BReasoning Framework=Standard2025.0647.3—
Qwen2.5-VL-72BPolicy Model=Qwen2.5-VL-72B, Best-of-N Evaluation=82025.0647.3—
DeepEyesTool=Yes2026.0647.3—
CodeDanceTooling Type=Dynamic Tooling2026.0246.8—
Qwen2.5-VL-7B (Bo8)Training Strategy=GRPO, Sampling Strategy=Best-of-82025.0646.8—
Claude-3.7-SonnetModel Category=Proprietary2025.0646.7—
Claude3.7-SonnetVLM Category=Proprietary VLMs2025.0946.7—
CoT Cold-Start + Solver FeedbackBackbone=Qwen2.5-VL-7B-Instruct2025.1146.65—
Self-InstructBackbone=Qwen2.5-VL-7B-Instruct2025.1146.4—
Athena-PRMPolicy Model=Qwen2.5-VL-7B, Best-of-N Evaluation=82025.0646.3—
Qwen-2.5-VL-7BData=-2026.0346.2—
Self-Instruct + Solver FeedbackBackbone=Qwen2.5-VL-7B-Instruct2025.1146.17—
MM-Eureka-7BModel Category=Open-Source2025.0646.1—
R1-OnevisionData=165K2026.0346.1—
R1-Onevision-7BTraining Protocol=SFT + RL2025.1246—
OpenVLThinker-7BTraining Protocol=SFT + RL2025.1245.8—
Qwen2.5-VL-7BTraining Protocol=Zero RL2025.1245.8—
Ovis2-16BModel Category=Open-Source2025.0645.8—
Qwen2.5-VL-7BBackbone=Qwen2.5-VL-7B2026.0245.6—
Qwen-2.5-VLTool=✗, Param Size=7B2025.1145.6—
Self-Instruct + CoT-Self-InstructBackbone=Qwen2.5-VL-7B-Instruct2025.1145.58—
CoT Cold-StartBackbone=Qwen2.5-VL-7B-Instruct2025.1145.41—
Seed SetBackbone=Qwen2.5-VL-7B-Instruct2025.1145.23—
Self-Instruct + R-ZeroBackbone=Qwen2.5-VL-7B-Instruct2025.1144.72—
Qwen2.5VL-7B w/ GRPOTool=No2026.0644.7—