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Risk Horizons: Structured Hypothesis Spaces for Longitudinal Clinical Prediction
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Proposes Risk Horizons, which builds patient-specific structured candidate spaces for multi-modal next-visit EHR prediction by combining ICD/ATC hierarchies with lagged PMI cross-modal edges, embedding them in hyperbolic space, and retrieving candidates via directional risk cones, with optional constrained LLM reranking.
Problem
Next-visit prediction from longitudinal EHRs requires selecting plausible future diagnoses, procedures, and medications from a large, sparse, weakly structured event space; cross-modal and temporal dependencies are not specified by coding hierarchies.
Approach
Reframes next-visit prediction as constructing a patient-specific candidate hypothesis space (Risk Horizon) via hyperbolic embeddings of a graph combining coding hierarchies with lagged PMI edges, retrieved with directional tangent-space cones, and ranked geometrically with optional LLM reranking restricted to candidates.
Key results
- Risk Horizons (geometry-only) reaches 0.357 overall R@10 and 0.447 nDCG@10 on MIMIC-IV, versus 0.363 R@10 for RETAIN and 0.402 for Med-BERT.
- RH + Llama-3.3-70B-Instruct reranking reaches 0.425 R@10 and 0.516 nDCG@10 overall on MIMIC-IV, the best overall result.
- On eICU, RH + Llama-3.3-70B-Instruct achieves 0.401 R@10 and 0.433 nDCG@10, while RETAIN obtains 0.381 R@10 and 0.424 nDCG@10.
Surprising findings
- Removing lagged PMI stitching collapses R@10 from 0.357 to 0.005, showing deterministic hierarchies alone are insufficient.
- Euclidean RH paired with LLM reranking often does not improve and may reduce performance, suggesting downstream reasoning cannot repair a poor candidate space.
- Medication-only Oracle and Risk Horizon recall are high, but Med-BERT and RETAIN outperform the proposed geometry-only RH on medication nDCG@10 (RETAIN 0.723 vs RH 0.705).
Limitations
- Performance degrades on highly novel or externally driven events (e.g., trauma) weakly supported by history.
- LLM-only baselines perform poorly on frequent-event candidate sets, and LLM gains depend on the candidate set quality.
- Lagged PMI edges are associational, not causal, and depend on training-split statistics.
Experimental setup
Datasets: MIMIC-IV eICU
Benchmarks: MIMIC-IV eICU
Metrics: Recall@10 nDCG@10 MRR Candidate Recall Risk-Horizon Recall@K Oracle Recall@K Hierarchy Distance Ancestor Match@2
Baselines: Copy Last Visit RETAIN Med-BERT HALO Euclidean RAG Euclidean Risk Horizons Hyperbolic Linear Probe Hyperbolic NN Global
Builds on: RETAIN HALO Med-BERT GRAM
Closest papers by meaning
- Context Clues: Evaluating Long Context Models for Clinical Prediction Tasks on EHR Data (ICLR 2025 · similarity 0.88)
- One Loss to Rule Them All: Marked Time-to-Event for Structured EHR Foundation Models (NeurIPS 2026 · similarity 0.88)
- Reasoning-Enhanced Healthcare Predictions with Knowledge Graph Community Retrieval (ICLR 2025 · similarity 0.86)
- SAFER: A Calibrated Risk-Aware Multimodal Recommendation Model for Dynamic Treatment Regimes (ICML 2025 · similarity 0.85)
- History-Aware Conformal Prediction Sets for Censored Time-to-Event Outcomes (NeurIPS 2026 · similarity 0.85)
- Time-to-Event Pretraining for 3D Medical Imaging (ICLR 2025 · similarity 0.85)
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