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Direct Mitigation of "Reward Hacking"

Generic prompt-based LLMs are prone to "reward hacking," frequently awarding full marks for correct final answers even when intermediate working calculations are flawed ("Miracle Steps"). Graph RAG eliminates this by modeling the marking scheme as a directed graph of atomic, instructor-curated facts (rubric nodes like M1 or A1). The grading engine performs step-wise verification by linking student coordinates to exact nodes in the rubric graph for objective and consistent evaluation.

Native Integration of the Q-Matrix

Descriptive exam questions rarely map to just a single concept. For instance, a physics word problem requires a student to demonstrate both "Isolating Variables" and "Vector Addition." Graph RAG natively models this multi-dimensional relationship using a Q-Matrix represented inside the graph: a single QuestionNode maintains multiple outgoing MAPS_TO edges to different ConceptNodes with distinct percentage weights—something traditional flat RAG architectures cannot manage.

Knowledge Component Model & Skill Tracing

To trace student progress over time, Graph RAG bridges the gap between grading and skill diagnostics. When a student misses specific rubric nodes, the engine traces connections up to the corresponding KnowledgeComponent nodes and dynamically updates their mastery probability using an exponential rolling trace update:

If the probability falls below a threshold, the system traverses the graph's PREREQUISITE_OF edges to locate the upstream gap (e.g. diagnosing a Polar Curves struggle as a failure in Trigonometric Identities) and compiles a targeted, printable remedial workbook.

Unmatched Explainability & Audit Trails

For AI grading to be trusted by premium schools, parents, and board examiners, it cannot operate as a "black box." Graph RAG provides a complete, audit-ready explanation trail. Because every mark deduction is directly linked to an unachieved node or edge in our graph database, the system can point to the exact coordinates on the handwritten answer sheet and explain precisely why a step mark was lost.