Hard-Constrained Probabilistic Factor Graph Neural Network for Distribution System State Estimation under Non-Gaussian Uncertainty

arXiv:2609.35246 · eess.SY, cs.SY · Submitted 2026-09-28 · Read on arXiv

eess.SY, cs.SY

Submitted: 2026-09-28

Updated: 2026-09-28

Terminology

• Accuracy — 30× in this paper · explained in 1 episode
• Robustness — 22× in this paper · explained in 5 episodes
• Consistency — 16× in this paper · explained in 3 episodes
• Generalization — 13× in this paper · explained in 13 episodes
• Benchmark — 10× in this paper · explained in 2 episodes
• Physical Constraints — 8× in this paper · explained in 7 episodes
• GNNs — 7× in this paper · explained in 2 episodes
• Calibration — 6× in this paper · explained in 7 episodes
• Uncertainty Quantification — 5× in this paper · explained in 8 episodes
• Ablation — 4× in this paper · explained in 1 episode
• Ablation study — 4× in this paper · explained in 1 episode
• Aggregation — 3× in this paper · explained in 1 episode
• Loss Function — 3× in this paper · explained in 2 episodes
• Adam — 2× in this paper · explained in 2 episodes
• Embeddings — 2× in this paper · explained in 2 episodes
• Empirical Coverage — 2× in this paper · explained in 2 episodes
• Fidelity — 2× in this paper · explained in 2 episodes
• Heterogeneous Graph — 2× in this paper · explained in 2 episodes
• Iterative Refinement — 2× in this paper · explained in 3 episodes
• Regularization — 2× in this paper · explained in 3 episodes
• Adaptive Weighting — 1× in this paper · explained in 1 episode
• Bayesian Optimization — 1× in this paper · explained in 3 episodes
• Core — 1× in this paper · explained in 2 episodes
• Modular Architecture — 1× in this paper · explained in 4 episodes
• Objective Function — 1× in this paper · explained in 2 episodes
• Physics-Informed Neural Network (PINN) — 1× in this paper · explained in 3 episodes
• Redundancy — 1× in this paper · explained in 2 episodes

Sources

• Pinet: Optimizing hard-constrained neural networks with orthogonal projection layers
• DC3: A learning method for optimization with hard constraints
• Enforcing convex constraints in Graph Neural Networks
• Robust Power System Dynamic State Estimator with Non-Gaussian Measurement Noise: Part II--Implementation and Results

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