Where the mathematics meets the machine. Each track lists the method and a representative formalism.
property graphs, cypher, centrality
Property and knowledge graphs in Neo4j that model financial, cyber, and organizational networks; Louvain and label propagation with PageRank, betweenness, and degree centrality surface collusion rings and anomalous transaction paths across tens of millions of nodes.
PR(v) = (1 - d)/N + d · Σ PR(u)/|Out(u)|
Neo4jCypherLouvain
lifted inference, drift
Lifted inference over relational structure without grounding out the graph; metadata-driven hyperparameter estimation controls DAG and Bayesian network architectures under adversarial, nonstationary conditions.
U(n) = C(n,m)⁻¹ Σ h(X_i1, …, X_im) (Hoeffding 1948)
lifted inferenceU-statistics
first-order relational calculus
Formally verifies the logical consistency of claims before they are committed, so attribution totality and non-contradiction become checkable sentences rather than informal expectations.
∀c [∃a Claims(a,c)] → ∃p [Cites(c,p) ∨ Axiomatic(c)]
FORCformal verification
epistemic uncertainty, nonstationarity
Possibility and necessity pairs model uncertainty where binary probability is wrong; meta-causal inference corrects dataset shifts continuously, so outdated paradigms cannot veto novel breakthroughs.
N(A) = 1 - Π(¬A), N(A) ≤ Π(A) (Zadeh 1978)
possibility theoryADWIN