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API ingress controllers process requests through ordered sequences of middleware steps — authentication, authorization, validation, rate limiting, routing, service invocation, caching. We model this pipeline as a directed acyclic graph (DAG) learned from structured telemetry events, then apply graph-based anomaly detection and drift classification in real time at 1,600+ TPS. The system emits one structured event per processing step, constructs per-endpoint execution graphs using sequence mining with statistical confidence thresholds, and learns per-node baselines (latency, dependency, execution frequency). Three graph intelligence capabilities emerge: (1) Graph-based anomaly attribution — compute per-node deviation ratios against learned baselines to identify the exact bottleneck node and its dependency. In production, this pinpointed a 41x deviation at a single graph node that was invisible to service-level monitoring, reducing root cause identification from 2-3 hours to under 30 seconds. (2) Graph structural drift detection — compare observed node sequences against the learned graph topology to detect missing nodes (mandatory processing step silently skipped), reordered nodes (middleware misconfiguration), and unexpected new nodes (unauthorized middleware injection). Traditional monitoring reported "system healthy" when a mandatory node was removed — latency dropped, errors at zero — only the learned graph comparison detected the structural change. (3) Per-client graph fingerprinting — learn client-specific execution graph profiles using exponential moving averages. Detect when a client's graph traversal pattern changes, classify the cause (client behavior change vs. configuration drift vs. infrastructure failover) using KL divergence on node-visit distributions, and apply graph-aware adaptive control scoped to specific nodes rather than entire endpoints. The execution graph model also enables a novel approach to retry storm detection: analyzing idempotency key entropy at graph nodes to classify traffic as legitimate growth vs. retry amplification, and returning cached responses at the specific graph node rather than rejecting requests — breaking the retry amplification loop. Production system processing high TPS. Attendees will learn the graph construction methodology, the anomaly attribution algorithm, and concrete patterns for adding learned graph intelligence to any middleware pipeline.