{ "skill": { "name": "ocw-information-entropy-agent", "description": "Use the generated MIT OCW Information and Entropy pack, concept ordering, and learner artifacts to mentor or evaluate information-theory work." }, "study_plan": { "skill": "ocw-information-entropy-agent", "task": "Help a learner connect Shannon entropy, channel capacity, and thermodynamic entropy.", "steps": [ { "concept_key": "mit-ocw-information-and-entropy::thermodynamics-and-entropy", "title": "Thermodynamics and Entropy", "status": "mastered", "prerequisites": [ "mit-ocw-information-and-entropy::cryptography-and-information-hiding" ], "recommended_action": "Use Thermodynamics and Entropy as the primary teaching anchor." }, { "concept_key": "mit-ocw-information-and-entropy::course-synthesis", "title": "Course Synthesis", "status": "review-needed", "prerequisites": [ "mit-ocw-information-and-entropy::thermodynamics-and-entropy" ], "recommended_action": "Review prerequisites before teaching Course Synthesis." }, { "concept_key": "mit-ocw-information-and-entropy::shannon-entropy", "title": "Shannon Entropy", "status": "mastered", "prerequisites": [ "mit-ocw-information-and-entropy::counting-and-probability" ], "recommended_action": "Use Shannon Entropy as the primary teaching anchor." } ], "guided_path_reference": [ "mit-ocw-information-and-entropy::mit-ocw-6-050j-information-and-entropy", "mit-ocw-information-and-entropy::counting-and-probability", "mit-ocw-information-and-entropy::shannon-entropy", "mit-ocw-information-and-entropy::mutual-information", "mit-ocw-information-and-entropy::data-compression", "mit-ocw-information-and-entropy::huffman-coding", "mit-ocw-information-and-entropy::channel-capacity", "mit-ocw-information-and-entropy::channel-coding", "mit-ocw-information-and-entropy::error-correcting-codes", "mit-ocw-information-and-entropy::cryptography-and-information-hiding", "mit-ocw-information-and-entropy::thermodynamics-and-entropy" ] }, "explanation": { "concept_key": "mit-ocw-information-and-entropy::channel-capacity", "title": "Channel Capacity", "explanation": "Channel Capacity is represented in the Information and Entropy skill as part of a progression from foundational probability ideas toward communication limits and physical interpretation. It depends on huffman-coding. The current demo learner already mastered this concept, with evaluator means {'correctness': 0.8400000000000001, 'explanation': 0.85, 'critique': 0.7999999999999999}, so the skill can use it as a stable explanation anchor.", "source_description": "- Objective: Explain Channel Capacity as a limit on reliable communication over noisy channels.\n- Exercise: State why reliable transmission above capacity is impossible in the long run.\nThis lesson develops Channel Capacity, Reliable Commun" }, "evaluation": { "concept_key": "mit-ocw-information-and-entropy::thermodynamics-and-entropy", "submission": "Therefore entropy = uncertainty in a message model, but one limitation is that thermodynamic entropy and Shannon entropy are not identical without careful interpretation.", "verdict": "acceptable", "aggregated": { "correctness": 0.8400000000000001, "explanation": 0.85, "critique": 0.6499999999999999 }, "evaluators": [ { "name": "rubric", "dimensions": { "correctness": 0.8, "explanation": 0.85 }, "notes": "Heuristic scaffold rubric score." }, { "name": "symbolic_rule", "dimensions": { "correctness": 0.88 }, "notes": "Stub symbolic evaluator." }, { "name": "critique", "dimensions": { "critique": 0.6499999999999999 }, "notes": "Stub critique evaluator." } ], "skill_reference": { "skill_name": "ocw-information-entropy-agent", "mastered_by_demo_agent": true }, "follow_up": "Extend the answer with an explicit limitation or assumption." } }