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Multimodal Reasoning on WeMath

78AccuracyGemini-2.5-Pro
43.78452.66761.5570.433Jun 5, 2025Aug 8, 2025Oct 12, 2025Dec 16, 2025Feb 19, 2026Apr 25, 2026Jun 29, 2026

Evaluation results

MethodLinks
Gemini-2.5-ProModel Category=Closed-source models2026.0678————
GPT-5Model Category=Closed-source models2026.0677.1————
TGRL-DAPOData=39K, Base Model=Qwen-2.5-VL-7B2026.0372.2————
Perception-R1Data=1.4K2026.0372————
TGRL-DAPOData=2.1K, Base Model=Qwen-2.5-VL-7B2026.0371.05————
Groupwise Ranking RewardReward Method=Groupwise Ranking Reward, Training Budget=Matched, Training Epochs=22026.0470.8————
NoisyRolloutData=6.4K2026.0370.3————
TGRL-GRPOData=2.1K, Base Model=Qwen-2.5-VL-7B2026.0370.29————
TGRL-GRPOData=39K, Base Model=Qwen-2.5-VL-7B2026.0370.23————
DAPOData=2.1K, Base Model=Qwen-2.5-VL-7B2026.0369.3————
ThinkLiteData=11K2026.0369.2————
DAPOData=39K, Base Model=Qwen-2.5-VL-7B2026.0368.84————
CFPOGBackbone=Qwen2.5-VL-7B, Hyperparameters=gamma=0.02 + No Ent2026.0668.79————
GRPOData=39K, Base Model=Qwen-2.5-VL-7B2026.0368.2————
GRPOBackbone=Qwen2.5-VL-7B2026.0668.12————
VLAA-ThinkerData=25K2026.0367.9————
OpenVLThinkerData=50K2026.0367.8————
GRPOData=2.1K, Base Model=Qwen-2.5-VL-7B2026.0367.4————
NPOstage=early + late-stage2026.0466.95————
PAPOGBackbone=Qwen2.5-VL-7B2026.0666.55————
AutoNPO2026.0466————
No CompressionBackbone=Qwen3-VL, Evaluation Protocol=SFT2026.0263.8562.68.8——
Pointwise GRReward Method=Pointwise GR, Training Budget=Matched, Training Epochs=22026.0463.8————
Prune-on-LogicBackbone=Qwen3-VL, Evaluation Protocol=SFT2026.0263.4419.56.6——
Qwen-2.5-VL-7BData=-2026.0363.1————
XMCCBackbone=Qwen3-VL, Evaluation Protocol=SFT2026.026397.71.6——
NPOstage=early-stage only2026.0462.76————
ExGRPOtype=historical replay2026.0462.67————
RLEPtype=far future2026.0462.48————
SFT-MModel=Qwen2.5-VL-7B, Paradigm=SFT-M2026.0262.3————
R1-OnevisionData=165K2026.0362.1————
StepEntropyBackbone=Qwen3-VL, Evaluation Protocol=SFT2026.0261.6313.55.1——
Socratic-Solver-Geo (Stage3)Data Scale=2.5k, Curriculum Stage=32026.0261.58————
PRMReward Method=PRM, Training Budget=Matched, Training Epochs=22026.0460.8————
SFTModel=Qwen2.5-VL-7B, Paradigm=SFT2026.0260.23————
SFT-RSModel=Qwen2.5-VL-7B, Paradigm=SFT-RS2026.0259.2————
RLVRReference Checkpoint=RLVR2026.0458.8————
Athena-PRMPolicy Model=Qwen2.5-VL-72B, Best-of-N Evaluation=82025.0658.7————
TrustGeoGenData Scale=10k2026.0258.61————
PGPS9KData Scale=10k2026.0258.53————
Socratic-Solver-Geo (Stage2)Data Scale=1k, Curriculum Stage=22026.0258.21————
KD (Our Synthesis)Data Scale=2.5k2026.0258.15————
KD (Geo3K)Data Scale=3k2026.0258.02————
RLSDBase Model=Qwen3-VL-8B-Instruct, Max Context Length=81922026.0458————
GRPOModel=Qwen2.5-VL-7B, Paradigm=GRPO2026.0257.99————
GeoReasoningData Scale=10k2026.0257.9————
Qwen2.5-VL-7B-InstructMode=Zero-shot2026.0257.59————
R-CoTData Scale=7.2k2026.0257.59————
Socratic-Solver-Geo (Stage1)Data Scale=0.4k, Curriculum Stage=12026.0257.54————
Geo170k (G-LLaVA)Data Scale=10k2026.0257.44————
Qwen2.5-VL-7B-ITReference Checkpoint=Qwen2.5-VL-7B-IT2026.0456.6————
GRPOBase Model=Qwen3-VL-8B-Instruct, Max Context Length=81922026.0456.57————
GRPOtype=pure on-policy2026.0456.57————
No CompressionBackbone=Qwen2.5-VL, Evaluation Protocol=SFT2026.0255.8572.510.3——
Athena-ORMPolicy Model=Qwen2.5-VL-72B, Best-of-N Evaluation=82025.0655.6————
GPT-4.1VLM Category=Proprietary VLMs2025.0955.5————
Prune-on-LogicBackbone=Qwen2.5-VL, Evaluation Protocol=SFT2026.0255.4460.58.3——
OPSDBase Model=Qwen3-VL-8B-Instruct, Max Context Length=81922026.0454.95————
XMCCBackbone=Qwen2.5-VL, Evaluation Protocol=SFT2026.0254.999.61.8——
SFT-MModel=Qwen2.5-VL-3B, Paradigm=SFT-M2026.0254.89————
Self-consistencyPolicy Model=Qwen2.5-VL-72B, Best-of-N Evaluation=82025.0654.8————
GRPO + OPSDBase Model=Qwen3-VL-8B-Instruct, Max Context Length=81922026.0454.76————
StepEntropyBackbone=Qwen2.5-VL, Evaluation Protocol=SFT2026.0254.6334.26.1——
SFTModel=Qwen2.5-VL-3B, Paradigm=SFT2026.0254.14————
Base LLMBase Model=Qwen3-VL-8B-Instruct, Max Context Length=81922026.0454.1————
Qwen3-VL-8B-Instruct2026.0454.1————
TACO (Ours-7B)Model Category=Code-tool / visual-agent models2026.0653.1————
GRPOModel=Qwen2.5-VL-3B, Paradigm=GRPO2026.0252.82————
SFT-RSModel=Qwen2.5-VL-3B, Paradigm=SFT-RS2026.0252.41————
LUFFYtype=external teacher2026.0452.38————
SDPOBase Model=Qwen3-VL-8B-Instruct, Max Context Length=81922026.0452.19————
Qwen2.5-VL-72B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=GPT-OSS-120B-A5B2025.0652.1————
MathCoder-VL-8BModel Category=Code-tool / visual-agent models2026.0652.1————
Ovis2-34BModel Category=Open-Source2025.0651.9————
InternVL2.5-38B + VRPRM w/o RLBase Model=InternVL2.5-38B, Selection Strategy=Best-of-8, Critic Model=VRPRM w/o RL2025.0851.43————
Qwen2.5-VL-32B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=GPT-OSS-120B-A5B2025.0650.8————
SwimBird2026.0249.5————
Claude-3.7-SonnetModel Category=Proprietary2025.0649.3————
Claude3.7-SonnetVLM Category=Proprietary VLMs2025.0949.3————
VL-Rethinker-72BModel Category=Open-Source2025.0649.2————
Qwen2.5-VL-72BModel Category=Open-Source2025.0649.1————
Qwen2.5-VL-72BReasoning Framework=Standard2025.0649.1————
Qwen2.5-VL-72BPolicy Model=Qwen2.5-VL-72B, Best-of-N Evaluation=82025.0649.1————
InternVL2.5-26B + VRPRM w/o RLBase Model=InternVL2.5-26B, Selection Strategy=Best-of-8, Critic Model=VRPRM w/o RL2025.0848.76————
InternVL3-38BModel Category=Open-Source2025.0648.6————
Qwen2.5-VL-32B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=Qwen3-8B2025.0648.5————
PyVision-ImageTooling Type=Dynamic Tooling2026.0247.7————
PyVision-RL-7BModel Category=Code-tool / visual-agent models2026.0647.7————
Gemini-2.0-FlashModel Category=Proprietary2025.0647.4————
Gemini-2.0-FlashSelection Strategy=Standard2025.0847.4————
Qwen2.5-VL-32BModel Category=Open-source MLLMs (no visual tool), Instruct variant=true2026.0647.1————
InternVL2.5-38B + VRPRMBase Model=InternVL2.5-38B, Selection Strategy=Best-of-8, Critic Model=VRPRM2025.0846.86————
Athena-PRMPolicy Model=Qwen2.5-VL-7B, Best-of-N Evaluation=82025.0646.4————
InternVL2.5-38B + VisualPRMBase Model=InternVL2.5-38B, Selection Strategy=Best-of-8, Critic Model=VisualPRM2025.0846.2————
InternVL3-78BModel Category=Open-Source2025.0646————
GPT-4o-20241120Model Category=Proprietary2025.0645.8————
GPT-4oSelection Strategy=Standard2025.0845.8————
LUSPOBase model=Qwen2.5-VL-7B-Instruct, Algorithm=LUSPO2026.0245.6————
Qwen2.5-VL-7B w/ RAPIDReasoning Framework=RAPID, Reasoner Model=Qwen3-8B2025.0645.4————
Athena-ORMPolicy Model=Qwen2.5-VL-7B, Best-of-N Evaluation=82025.0645.1————