The Ramsey community number on the diamond hierarchical lattice is derived as an exact RG crossing of Bayesian evidence, with closed-form r_k and a thermodynamically ordered hierarchical community phase.
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8 Pith papers cite this work, alongside 2,095 external citations. Polarity classification is still indexing.
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Introduces TSBM, a new Bayesian model for directed networks that enforces ordered blocks via transitivity-inducing priors on directional imbalance and jointly infers block count with an age-ordered partition prior.
Citation Seeder generates realistic synthetic citation networks with communities using the Price-Pareto model and up to four orders of magnitude fewer parameters than baselines.
A cycle-counting-ratio estimator for the β-model achieves minimax-optimal MSE and consistency under the weak conditions θ_max→0 and θ_t‖θ‖₁→∞, even at network densities near log n/n.
Covariate-augmented spectral clustering for heterogeneous networks with misclustering bounds under a contextualized stochastic blockmodel, applied to UNGA voting data.
OpenRFM combines a relational transformer backbone with a batch-level ICL layer and homophily-aware synthetic-plus-real pre-training to improve relational in-context learning by ~30% over prior open models and surpass KumoRFMv1.
Agent-based simulations indicate GenAI access reduces overall problem-solving competence development and increases the share of students stuck in lower competence tiers.
Modular network structure in the BChS opinion model produces robust intragroup ordering without global consensus and anti-ferromagnetic ordering between modules.
citing papers explorer
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The Ramsey community number as a renormalization-group crossing
The Ramsey community number on the diamond hierarchical lattice is derived as an exact RG crossing of Bayesian evidence, with closed-form r_k and a thermodynamically ordered hierarchical community phase.
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Ordering Stochastic Block Models via prior transitivity
Introduces TSBM, a new Bayesian model for directed networks that enforces ordered blocks via transitivity-inducing priors on directional imbalance and jointly infers block count with an age-ordered partition prior.
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Generating Synthetic Citation Networks with Communities
Citation Seeder generates realistic synthetic citation networks with communities using the Price-Pareto model and up to four orders of magnitude fewer parameters than baselines.
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Subgraph counting estimation for the $\beta$-model in sparse networks
A cycle-counting-ratio estimator for the β-model achieves minimax-optimal MSE and consistency under the weak conditions θ_max→0 and θ_t‖θ‖₁→∞, even at network densities near log n/n.
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Understanding Geopolitical Alignments Through Covariate Augmented Spectral Clustering of Heterogeneous UNGA Voting Data
Covariate-augmented spectral clustering for heterogeneous networks with misclustering bounds under a contextualized stochastic blockmodel, applied to UNGA voting data.
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OpenRFM: Dissecting Relational In-Context Learning
OpenRFM combines a relational transformer backbone with a batch-level ICL layer and homophily-aware synthetic-plus-real pre-training to improve relational in-context learning by ~30% over prior open models and surpass KumoRFMv1.
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Students using GenAI lag behind in problem-solving competence: an agent-based study of classroom networks
Agent-based simulations indicate GenAI access reduces overall problem-solving competence development and increases the share of students stuck in lower competence tiers.
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Biswas-Chatterjee-Sen (BChS) kinetic exchange opinion model on modular networks
Modular network structure in the BChS opinion model produces robust intragroup ordering without global consensus and anti-ferromagnetic ordering between modules.