{ "answer": "The options for positional encoding mentioned are learned positional embeddings and fixed positional encodings (specifically, using sine and cosine functions of different frequencies).", "start_page_num": 6, "start_line_num": 31, "end_page_num": 6, "end_line_num": 32, "confidence": 0.98, "justification": "Lines 31–32 explicitly state: 'There are many choices of positional encodings, learned and fixed [9].' Additionally, further lines detail the sinusoidal encoding as the fixed choice, and Table 3 row (E) discusses using learned embeddings instead.", "quotes": [ "There are many choices of positional encodings, learned and fixed [9]." ], "caveats": [ "Further details about the specific implementation of learned embeddings are only touched on elsewhere, but both options are mentioned here." ], "complete_answer_found": true, "context_structured": true, "llm_discovered_keywords": [ "learned positional embeddings", "fixed positional encodings", "sinusoidal positional encoding" ] }