Dynamic perioperative risk prediction requires models to anticipate evolving physiological deterioration under strict prediction-time information boundaries. We introduce PERIBENCH, a protocol-aware benchmark built from high-frequency intraoperative signals. PERIBENCH defines 18 clinically motivated tasks spanning future risk classification, persistent deterioration prediction, continuous vital-sign regression, and case-level prognosis, and evaluates 37 systems across numerical predictors, deep sequential models, time-series foundation models, and LLM-oriented language interfaces. Rather than using a single undifferentiated leaderboard, PERIBENCH separates supervised or adapted prediction, direct pretrained transfer, and prompt-based language-interface inference into protocol-compatible pools. Experiments show that model sophistication does not translate monotonically into better perioperative prediction: tree-based references remain strong on many classification endpoints, deep sequential models are competitive on selected physiological tasks, direct foundation-model transfer is heterogeneous, and language interfaces capture useful classification signals but remain less reliable for regression, calibration, alert burden, and abnormal-region prediction. PERIBENCH provides a structured benchmark for studying dynamic perioperative prediction from numerical models to language interfaces under shared task semantics and explicit protocol boundaries. Code is available at https://github.com/Kdyyh/PERIBENCH.

Gaussian LDA integrates topic modeling with word embeddings by replacing discrete topic distribution over word types with multivariate Gaussian distribution on the embedding space. This can take semantic information of words into account. However, the Euclidean similarity used in Gaussian topics is not an optimal semantic measure for word embeddings. Acknowledgedly, the cosine similarity better describes the semantic relatedness between word embeddings. To employ the cosine measure and capture complex topic structure, we use von Mises-Fisher (vMF) mixture models to represent topics, and then develop a novel mix-vMF topic model (MvTM). Using public pre-trained word embeddings, we evaluate MvTM on three real-world data sets. Experimental results show that our model can discover more coherent topics than the state-of-the-art baseline models, and achieve competitive classification performance.