Cross-Encoder is a second-stage re-ranking architecture that concatenates query
q and candidate document
d into a single combined sequence (e.g., `[CLS] query [SEP] doc [SEP]`) fed into a deep Transformer encoder; unlike isolated Bi-Encoders, Cross-Encoder executes Full Cross-Attention between all query and document tokens across every layer, outputting a precise calibrated scalar relevance score
[0,1] via the `[CLS]` classification head.