{"slug": "siamese-network-locates-criticality-in-3d-percolation", "title": "Siamese Network Locates Criticality in 3D Percolation", "summary": "Researchers introduced a Siamese Neural Network framework to identify phase transitions in 3D percolation models using only 22 labeled probability points from non-critical regions. The method located percolation thresholds with percent-level accuracy and estimated critical exponents consistent with literature, while generalizing to different lattice types without retraining.", "body_md": "Label-efficient similarity learning can reduce annotation needs for physics and scientific ML tasks by teaching models to discover order parameters from sparse labels. According to the arXiv paper arXiv:2507.14159 by Shanshan Wang et al., the authors introduce a Siamese Neural Network (SNN) framework to identify phase transitions in three-dimensional site and bond percolation models. The paper reports that using only **22 labeled probability points** drawn from non-critical regions, the SNN locates percolation thresholds with percent-level accuracy and yields estimates of the critical exponent nu consistent with literature values, per arXiv. The authors further report that the learned representation correlates with the normalized largest-cluster size **S_max/L^3** (correlation **r>0.99**) and that a model trained on simple cubic lattices generalizes to face-centered cubic lattices without retraining, according to arXiv.", "url": "https://wpnews.pro/news/siamese-network-locates-criticality-in-3d-percolation", "canonical_source": "https://letsdatascience.com/news/siamese-network-locates-criticality-in-3d-percolation-b304f8d8", "published_at": "2026-07-09 04:00:00+00:00", "updated_at": "2026-07-09 05:18:08.779106+00:00", "lang": "en", "topics": ["machine-learning", "neural-networks"], "entities": ["Shanshan Wang", "arXiv"], "alternates": {"html": "https://wpnews.pro/news/siamese-network-locates-criticality-in-3d-percolation", "markdown": "https://wpnews.pro/news/siamese-network-locates-criticality-in-3d-percolation.md", "text": "https://wpnews.pro/news/siamese-network-locates-criticality-in-3d-percolation.txt", "jsonld": "https://wpnews.pro/news/siamese-network-locates-criticality-in-3d-percolation.jsonld"}}