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Math Reasoning on GSM8K (Accuracy)

98.87AccuracyDMoA
52.652464.651276.6588.6488Feb 5, 2025Apr 23, 2025Jul 9, 2025Sep 25, 2025Dec 11, 2025Feb 26, 2026May 15, 2026

Evaluation results

MethodLinks
DMoABackbone=gpt-oss-120b, Evaluation Paradigm=few-shot2026.0598.87
DCCDModel Size=14B, Backbone=Qwen 2.5 14B, Algorithm=Draft Conditioned Constrained Decoding2026.0295.15
ARG-DesignerBackbone=gpt-oss-120b, Evaluation Paradigm=few-shot2026.0594.4
STEERBackbone=gpt-oss-120b2026.0593.5
G-DesignerBackbone=gpt-oss-120b, Evaluation Paradigm=few-shot2026.0593.35
SafeSieveBackbone=gpt-oss-120b2026.0593.2
MAGEBackbone=Llama-3.1-8B, Execution Scaffold=Sonnet, Number of seeds=52026.0592.5
MAGEBackbone=Llama-3.1-8B, Execution Scaffold=Opus, Number of seeds=52026.0592
SpecReasonBackbone=gpt-oss-120b2026.0591.4
DCCDModel Size=7B, Backbone=Qwen 2.5 7B, Algorithm=Draft Conditioned Constrained Decoding2026.0291.28
CPModel Size=14B, Backbone=Qwen 2.5 14B, Algorithm=Constrained Prompting2026.0291.13
CFModel Size=14B, Backbone=Qwen 2.5 14B, Algorithm=Constrained Few Shot2026.0290.52
GPTSwarmBackbone=gpt-oss-120b2026.0590.2
LLM-DebateBackbone=gpt-oss-120b2026.0589.95
AFlowBackbone=gpt-oss-120b2026.0589.5
AutoGenBackbone=gpt-oss-120b2026.0589.4
TeacherModel=Qwen2.5-7B-Instruct, Role=Teacher2025.1089.3
MoABackbone=gpt-oss-120b2026.0588.52
Random GraphBackbone=gpt-oss-120b2026.0588.25
Complete GraphBackbone=gpt-oss-120b2026.0588.05
SCBackbone=gpt-oss-120b2026.0587.66
CoTBackbone=gpt-oss-120b2026.0587.35
ChainBackbone=gpt-oss-120b2026.0587.23
VanillaBackbone=gpt-oss-120b2026.0587.15
CDModel Size=14B, Backbone=Qwen 2.5 14B, Algorithm=Constrained Decoding (XGrammar)2026.0286.43
TreeBackbone=gpt-oss-120b2026.0586.35
StarBackbone=gpt-oss-120b2026.0585.25
DCCDModel Size=3B, Backbone=Qwen 2.5 3B, Algorithm=Draft Conditioned Constrained Decoding2026.0284.53
8-shot, MetaBackbone=Llama-3.1-8B, Evaluation Protocol=8-shot2026.0584.5
p*LLM Family=OLMo 2 (1B and 13B)2026.0484.3
DCCDModel Size=8B, Backbone=Llama 3.1 8B, Algorithm=Draft Conditioned Constrained Decoding2026.0283.02
GRPOModel=Qwen2.5-3B, Training Data=MATH, Inference template=chat inference template, Decoding strategy=Greedy2025.0582.6
confidence betLLM Family=Qwen 3 (1.7B and 14B), lambda=0.12026.0482.4
p*LLM Family=Qwen 3 (1.7B and 14B)2026.0482.4
CFModel Size=7B, Backbone=Qwen 2.5 7B, Algorithm=Constrained Few Shot2026.0282.26
confidence betLLM Family=Qwen 3 (1.7B and 14B), lambda=0.22026.0482.1
GRPO-PVModel=Qwen2.5-3B, Training Data=MATH, Inference template=chat inference template, Decoding strategy=Greedy2025.0582
Dual KADLLM Family=Qwen 3 (1.7B and 14B), lambda=0.42026.0481.7
CDModel Size=7B, Backbone=Qwen 2.5 7B, Algorithm=Constrained Decoding (XGrammar)2026.0281.58
Dual KADLLM Family=Qwen 3 (1.7B and 14B), lambda=0.32026.0481.3
CDModel Size=8B, Backbone=Llama 3.1 8B, Algorithm=Constrained Decoding (XGrammar)2026.0280.89
Imp. rewardLLM Family=Qwen 3 (1.7B and 14B)2026.0480.7
CPModel Size=7B, Backbone=Qwen 2.5 7B, Algorithm=Constrained Prompting2026.0280.06
χ2-DRTOBackbone=Llama3-8B2026.0379.9
NudgingLLM Family=Qwen 3 (1.7B and 14B), lambda=0.42026.0479.5
INTUITORModel=Qwen2.5-3B, Training Data=MATH, Inference template=chat inference template, Decoding strategy=Greedy2025.0579.2
KL-DRTOBackbone=Llama3-8B2026.0378.5
confidence betLLM Family=Qwen 3 (1.7B and 14B), lambda=02026.0478.3
NudgingLLM Family=Qwen 3 (1.7B and 14B), lambda=0.32026.0478.1
DistiLLM-2alpha=-5, Base Model=Qwen2.5-1.5B-Instruct2025.1077.4
DistiLLM-2alpha=-1, Base Model=Qwen2.5-1.5B-Instruct2025.1076.9
CPModel Size=8B, Backbone=Llama 3.1 8B, Algorithm=Constrained Prompting2026.0276.8
pLLM Family=Qwen 3 (1.7B and 14B)2026.0475.5
q*LLM Family=Qwen 3 (1.7B and 14B)2026.0475.3
GRPOModel=Qwen2.5-1.5B, Training Data=MATH, Inference template=chat inference template, Decoding strategy=Greedy2025.0574.7
INTUITOR-CodeModel=Qwen2.5-3B, Training Data=Codeforces, Inference template=chat inference template, Decoding strategy=Greedy2025.0574.3
StudentModel=Qwen2.5-1.5B-Instruct, Role=Student2025.1074.3
DCCDModel Size=1.5B, Backbone=Qwen 2.5 1.5B, Algorithm=Draft Conditioned Constrained Decoding2026.0273.92
DPOBackbone=Llama3-8B2026.0373.9
CDModel Size=3B, Backbone=Qwen 2.5 3B, Algorithm=Constrained Decoding (XGrammar)2026.0273.24
RTOBackbone=Llama3-8B2026.0373.2
PPOBackbone=Llama3-8B2026.0373.2
GRPOBackbone=Llama3-8B2026.0372.7
Dual KADLLM Family=OLMo 2 (1B and 13B), lambda=0.42026.0472.3
CFModel Size=3B, Backbone=Qwen 2.5 3B, Algorithm=Constrained Few Shot2026.0271.8
confidence betLLM Family=OLMo 2 (1B and 13B), lambda=0.22026.0471.7
INTUITORModel=Qwen2.5-1.5B, Training Data=MATH, Inference template=chat inference template, Decoding strategy=Greedy2025.0571.1
confidence betLLM Family=OLMo 2 (1B and 13B), lambda=02026.0471.1
confidence betLLM Family=OLMo 2 (1B and 13B), lambda=0.12026.0470.5
CFModel Size=8B, Backbone=Llama 3.1 8B, Algorithm=Constrained Few Shot2026.0270.2
Dual KADLLM Family=OLMo 2 (1B and 13B), lambda=0.32026.0469.5
BaseModel=Qwen2.5-3B, Training Data=-, Inference template=chat inference template, Decoding strategy=Greedy2025.0567.3
LoRA + GASTBackbone=LLaMA3-8B2026.0366.4
0-shot CoTBackbone=Llama-3.1-8B, Evaluation Protocol=0-shot2026.0564.5
LoRA + ISTBackbone=LLaMA3-8B2026.0362.8
q*LLM Family=OLMo 2 (1B and 13B)2026.0462.5
NudgingLLM Family=OLMo 2 (1B and 13B), lambda=0.42026.0461.9
SFTBackbone=Llama3-8B2026.0361.4
LoRABackbone=LLaMA3-8B2026.0361
MDM + P2-selfModel=MDM, Parameters=1.1B, Sampling Strategy=P2-self2025.0260.9
NudgingLLM Family=OLMo 2 (1B and 13B), lambda=0.32026.0460.3
DataAgent_RLBackbone=LLaMA-DCLM, Reweighting Space=Data sources2025.0759.24
Naive TrainingBackbone=LLaMA-DCLM, Reweighting Space=Data sources2025.0759.21
CPModel Size=3B, Backbone=Qwen 2.5 3B, Algorithm=Constrained Prompting2026.0259.14
Naive TrainingBackbone=LLaMA-Nemo, Reweighting Space=Data sources2025.0759.05
Naive TrainingBackbone=LLaMA-FWE, Reweighting Space=Data sources2025.0758.91
LLaMA2Model=LLaMA2, Parameters=7B2025.0258.6
MDMModel=MDM, Parameters=1.1B, Sampling Strategy=ancestral sampling2025.0258.5
Imp. rewardLLM Family=OLMo 2 (1B and 13B)2026.0458.4
LoRA-GATrainable Parameters=319.81M2026.0458.15
DataAgent_RLBackbone=LLaMA-FWE, Reweighting Space=Data sources2025.0758.07
DataAgent_SFTBackbone=LLaMA-DCLM, Reweighting Space=Data sources2025.0757.84
ChatGPTModel=ChatGPT2026.0356.4
TLoRATrainable Parameters=171.71M2026.0456.34
DataAgent_SFTBackbone=LLaMA-FWE, Reweighting Space=Data sources2025.0756.26
DBLBackbone=LLaMA-DCLM, Reweighting Space=Data sources2025.0756.22
RegMixBackbone=LLaMA-FWE, Reweighting Space=Data sources2025.0755.9
RegMixBackbone=LLaMA-DCLM, Reweighting Space=Data sources2025.0755.87
pLLM Family=OLMo 2 (1B and 13B)2026.0454.5
CorDATrainable Parameters=319.81M2026.0454.43