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Visual Mathematical Reasoning on MathVerse

78.8AccuracyTVI-CoT
45.93654.4686371.532Aug 7, 2025Sep 26, 2025Nov 16, 2025Jan 6, 2026Feb 25, 2026Apr 17, 2026Jun 7, 2026

Evaluation results

MethodLinks
TVI-CoTBackbone=Qwen3-VL-32B2026.0678.8————
Qwen3-VL-32BBackbone=Qwen3-VL-32B2026.0676.8————
CodePercept-32B-S1LLM Solver=Qwen3-235A22-Thinking [53]2026.0373.56————
Gemini2.5-ProLLM Solver=Qwen3-30A3-Thinking [53]2026.0373.47————
CodePercept-32B-S1LLM Solver=Qwen3-30A3-Thinking [53]2026.0371.7————
Qwen3-VL-32B-InstructLLM Solver=Qwen3-30A3-Thinking [53]2026.0371.09————
PDCRBackbone=Qwen3-VL-8B-Instruct2026.0570.6————
Qwen3-VL-235A22B-InstructLLM Solver=Qwen3-30A3-Thinking [53]2026.0370.08————
Qwen3-VL-32B-InstructLLM Solver=Qwen3-235A22-Thinking [53]2026.0369.9————
PACRBackbone=Qwen3-VL-8B-Instruct2026.0569.9————
GPT5-ThinkingLLM Solver=Qwen3-30A3-Thinking [53]2026.0369.56————
GRPOBackbone=Qwen3-VL-8B-Instruct2026.0569.3————
Qwen3-VL-8B-ThinkingLearning Protocol=Open-source Reasoning VLM2026.0269.2————
DAPOBackbone=Qwen3-VL-8B-Instruct2026.0569.2————
Qwen3-VL-8B-Instruct + DAPORollout count (rollout.n)=16, Learning Protocol=RLVR2026.0268.5————
Octopus-8B (Ours)Rollout count (rollout.n)=8, Generation Time (Gen.)=344.7, Total training time per step=958.12026.0268.5————
Qwen3-VL-8B-Instruct + GSPORollout count (rollout.n)=16, Generation Time (Gen.)=688.9, Total training time per step=1322.8, Learning Protocol=RLVR2026.0268.4————
Zero-shot InferenceBackbone=Qwen3-VL-8B-Instruct2026.0568.1————
CodePercept-8B-S1LLM Solver=Qwen3-235A22-Thinking [53]2026.0367.95————
Gemini-2.0 proTraining Strategy=Close-source2025.0867.3————
CodePercept-4B-S1LLM Solver=Qwen3-235A22-Thinking [53]2026.0366.73————
CodePercept-8B-S1LLM Solver=Qwen3-30A3-Thinking [53]2026.0366.52————
Qwen3-VL-30A3B-InstructLLM Solver=Qwen3-30A3-Thinking [53]2026.0366.44————
Qwen3-VL-4B-InstructLLM Solver=Qwen3-235A22-Thinking [53]2026.0366.39————
Qwen3-VL-8B-Instruct + GRPORollout count (rollout.n)=16, Generation Time (Gen.)=679.1, Total training time per step=1428.4, Learning Protocol=RLVR2026.0266.3————
Qwen3-VL-8B-Instruct + GRPORollout count (rollout.n)=8, Generation Time (Gen.)=364.9, Total training time per step=845.1, Learning Protocol=RLVR2026.0266————
Claude4-Sonnet2026.0265.9———64.1
CodePercept-4B-S1LLM Solver=Qwen3-30A3-Thinking [53]2026.0365.59————
Qwen3-VL-4B-InstructLLM Solver=Qwen3-30A3-Thinking [53]2026.0364.59————
Qwen3-VL-8B-Instruct + SRPORollout count (rollout.n)=16, Generation Time (Gen.)=816.6, Total training time per step=1543.3, Learning Protocol=RLVR2026.0264.2————
Qwen3-VL-8B-Instruct + SRPORollout count (rollout.n)=8, Generation Time (Gen.)=410.9, Total training time per step=895.8, Learning Protocol=RLVR2026.0264.1————
Qwen3-VL-8B-InstructLLM Solver=Qwen3-235A22-Thinking [53]2026.0363.88————
Qwen3-VL-8B-InstructLLM Solver=Qwen3-30A3-Thinking [53]2026.0363.75————
Qwen3-VL-8B-Instruct + GSPORollout count (rollout.n)=8, Generation Time (Gen.)=361.7, Total training time per step=753.1, Learning Protocol=RLVR2026.0263.7————
InternVL3.5-8B-RLLearning Protocol=Open-source Reasoning VLM2026.0261.5————
MiMo-VL-7B-SFTLearning Protocol=Open-source Reasoning VLM2026.0261.4————
MiMo-VL-7B-RLLearning Protocol=Open-source Reasoning VLM2026.0261————
Gemini-2.0-FlashModel Access=Closed-source2026.0659.3————
Qwen2.5-VL-32B-Instruct + NoisyRolloutStudent Model=Qwen2.5-VL-32B-Instruct, Distillation/Training Method=NoisyRollout2026.0358.86————
MiniCPM-V-4.5LLM Solver=Qwen3-30A3-Thinking [53]2026.0357.84————
Qwen2.5-VL-72BParameters=72B2026.0257.6———61.9
QvQ-72B-PreviewModel Access=Open-source, Model Scale=72B2026.0657.6————
DPEBackbone=Qwen3-VL-8B-Instruct, Iteration=32026.0257.18———64.39
OpenAI-o1Learning Protocol=Closed-source VLM2026.0257————
o1Training Strategy=Close-source2025.0857————
o1Model Access=Closed-source2026.0657————
Claude-Opus 4.1-ThinkingLLM Solver=Qwen3-30A3-Thinking [53]2026.0356.19————
Qwen2.5-VL-72BLLM Solver=Qwen3-30A3-Thinking [53]2026.0355.4————
GLM-4.1V-9BLLM Solver=Qwen3-30A3-Thinking [53]2026.0354.47————
VL-RethinkerModel Scale=7B2025.0954.2————
Shuffle-R1-Qwen-7BTraining Strategy=Zero RL2025.0853.9————
InternVL3.5-8BLLM Solver=Qwen3-30A3-Thinking [53]2026.0353.4————
VAPOModel Scale=7B2025.0953.3————
NoisyRolloutTeacher Model=Qwen2.5-VL-32B-Instruct + NoisyRollout, Student Model=Qwen2.5-VL-7B-Instruct, Distillation/Training Method=NoisyRollout2026.0353.14————
DeepEyesV22026.0252.9————
Qwen3-VL-8B-InstructLearning Protocol=Base VLM2026.0252.6————
Claude-3.7-SonnetLearning Protocol=Closed-source VLM2026.0252————
Claude-3.7-SonnetTraining Strategy=Close-source2025.0852————
Claude-3.7-SonnetModel Access=Closed-source2026.0652————
Intern-S1-8BLLM Solver=Qwen3-30A3-Thinking [53]2026.0351.9————
FULLModel=Qwen3-VL (4B), Selection Ratio=100%2026.0551.8————
VL-Rethinker-7BTraining Strategy=Zero RL, Evaluation Toolkit=vLLM with custom scripts2025.0851.7————
InternVL2.5-78BModel Access=Open-source, Model Scale=78B2026.0651.7————
REOPOLDTeacher Model=Qwen2.5-VL-32B-Instruct + NoisyRollout, Student Model=Qwen2.5-VL-7B-Instruct, Distillation/Training Method=REOPOLD2026.0351.43————
SaEIFinetuned=true, Group Size=122025.1251.06————
KL-CovFinetuned=true, Group Size=122025.1250.97————
Vanilla GRPOFinetuned=true, Group Size=122025.1250.95————
GPT-4oTraining Strategy=Close-source2025.0850.8————
GRPOTeacher Model=Qwen2.5-VL-32B-Instruct + NoisyRollout, Student Model=Qwen2.5-VL-7B-Instruct, Distillation/Training Method=GRPO2026.0350.8————
GPT-4oModel Access=Closed-source2026.0650.8————
PAPOModel Scale=7B, Decoding Strategy=greedy decoding2025.0950.4————
MM-EurekaModel Scale=7B2025.0950.3————
GPT-4oLearning Protocol=Closed-source VLM2026.0250.2————
GPT-4o2026.0250.2———56.1
NoisyRollout-7B-K12Training Strategy=Zero RL, Evaluation Toolkit=vLLM with custom scripts2025.0850.1————
KeyeVL1.5-8BLLM Solver=Qwen3-30A3-Thinking [53]2026.0349.95————
InternVL2.5-38BModel Access=Open-source, Model Scale=38B2026.0649.9————
MM-Eureka-Qwen-7BTraining Strategy=Zero RL, Evaluation Toolkit=vLLM with custom scripts2025.0849.6————
PRCO-7BBackbone=Qwen2.5-VL-7B2026.0349.49————
RANDOMModel=Qwen3-VL (4B), Selection Ratio=20%2026.0549.4————
Qwen2.5-VL-72BModel Access=Open-source, Model Scale=72B2026.0649.4————
NoisyRollout-7BModel Access=Open-source, Model Scale=7B, Learning Strategy=Visual-focused RL Fine-tuning2026.0649.16————
Qwen2.5-VL-7B-Instruct + VEPOModel Access=Open-source, Model Scale=7B, Learning Strategy=VEPO2026.0648.93————
VLAA-Thinker-7BTraining Strategy=Cold-Start + RL, Evaluation Toolkit=vLLM with custom scripts2025.0848.9————
Qwen2.5-VL-7B-Instruct + GRPO (Top 40% high entropy)Model Access=Open-source, Model Scale=7B, Learning Strategy=GRPO, Entropy Selection Strategy=Top 40% high entropy2026.0648.86————
DAPOBackbone=Qwen2.5-VL-7B2026.0348.73————
Qwen2.5-VL-7B-Instruct + GRPOModel Access=Open-source, Model Scale=7B, Learning Strategy=GRPO2026.0648.53————
Honeybee-Remake-SEED-200KModel=Qwen3-VL (4B), Selection Ratio=20%2026.0548.4————
Qwen2.5-VL-7B-Instruct + GRPO (Top 20% high entropy)Model Access=Open-source, Model Scale=7B, Learning Strategy=GRPO, Entropy Selection Strategy=Top 20% high entropy2026.0648.25————
R1-ShareVL-7BBackbone=Qwen2.5-VL-7B2026.0348.22————
VPPO-7BModel Access=Open-source, Model Scale=7B, Learning Strategy=Visual-focused RL Fine-tuning2026.0648.21————
Qwen2.5-VL-32BModel Access=Open-source, Model Scale=32B2026.0648.2————
Active-ZeroModel Backbone=Qwen2.5-VL-7B-Instruct2026.0248.16————
PAPO-DAPO-7BModel Access=Open-source, Model Scale=7B, Learning Strategy=Visual-focused RL Fine-tuning2026.0648.07————
NoisyRolloutFinetuned=true, Group Size=122025.1247.74————
RKLTeacher Model=Qwen2.5-VL-32B-Instruct + NoisyRollout, Student Model=Qwen2.5-VL-7B-Instruct, Distillation/Training Method=RKL2026.0347.71————
R1-ShareVLModel Access=Open-source, Model Scale=7B, Learning Strategy=Visual-focused RL Fine-tuning2026.0647.39————
PAPO-D-7BBackbone=Qwen2.5-VL-7B2026.0347.33————
DeepEyes2026.0247.3————
VPPO-7BBackbone=Qwen2.5-VL-7B2026.0347.2————