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Traveling Salesman Problem on TSP N=20

0Optimality GapLKH-2
-1.66769.588720.84532.1013Oct 27, 2023Mar 30, 2024Sep 2, 2024Feb 5, 2025Jul 10, 2025Dec 13, 2025May 18, 2026

Evaluation results

MethodLinks
LKH-2Model Type=H, Post-Proc.=-2023.1003.8276
NeuOptModel Type=L2S/RL, Post-Proc.=-, D2A=5, T=5k2023.1003.8271
NeuOptType=LS+RL2024.020—0.0021
GNNGLSType=GLS+SL2024.020—0.0019
NeuralGLS+Type=GLS+SL2024.020—0.1668
EoHType=GLS+LHH2024.020—0.0094
KGLS-ReEvoType=GLS+LHH2024.020—0
NeuOpt*Type=LS+RL2025.120——
GNNGLSType=GLS+SL2025.120——
EoHType=GLS+LHH2025.120——
KGLS-ReEvoType=GLS+LHH2025.120——
KGLS-MCTS-AHDType=GLS+LHH2025.120——
KGLS-RoCoType=GLS+LHH2025.120——
EoH2025.100——
CODEEVOLVEAggregation strategy=Best2025.100——
CODEEVOLVEAggregation strategy=Mean2025.100——
LKH32026.0303.850.0008
OR tools2026.0303.850.006
AlignOPTvariant=MTFT, Fine-tuning=Multi-task2026.0303.850.0008
AlignOPTvariant=STFT, Fine-tuning=Target COP specific2026.0303.850.0008
Gurobi2026.0503.9185.27
LKH32026.0503.9184.93
OR-Tools2026.0503.9186.68
POMOAugmentation=True2026.0503.9190.2
RELDAugmentation=True2026.0503.9180.22
DiCon-RAugmentation=True2026.0503.9180.22
KGLSType=GLS2024.020.004—0
KGLSType=GLS2025.120.004——
GOALArchitecture=GNN only2026.030.263.860.0002
Soft-Rank Diffusion with Pointer-cGPLparameterization=Pointer-cGPL2026.030.343.8557—
LNCSArchitecture=LLM Encoder + Transformer Decoder2026.030.553.870.0052
Soft-Rank Diffusion with cGPLparameterization=cGPL2026.030.793.8732—
DiCon-PAugmentation=True2026.0513.9190.19
Nearest neighbor2026.031.453.910.001
ACO2026.032.233.940.0123
Farthest insertion2026.032.893.960.0035
DiCon-RAugmentation=False2026.0543.920.03
RELDAugmentation=False2026.0553.920.03
DiCon-PAugmentation=False2026.0563.9210.02
ReEvo2026.036.74——
ReVEL2026.036.74——
EoH2026.039.33——
POMOAugmentation=False2026.05113.9230.03
ALNS2026.05303.9333.03
SymmetricDiffusers with GPL2026.0341.695.4342—
ConcordeModel Type=Exact, Post-Proc.=-2023.10—3.8272