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A Filtered Mixture-of-Generators for Fully Synthetic Survival Training

Summary

FoGS is a novel synthetic data method for survival analysis that selects samples from a pool of multiple generators instead of generating directly, addressing data scarcity and privacy restrictions in clinical settings. On 16 public datasets, it significantly improves model performance over single-generator approaches while maintaining privacy.

SourcearXiv Machine LearningAuthor: Niccol\`o Maria Rizzi, Eugenio Lomurno, Alberto Archetti, Matteo Matteucci
A Filtered Mixture-of-Generators for Fully Synthetic Survival Training
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[Submitted on 30 Jun 2026]

Title:A Filtered Mixture-of-Generators for Fully Synthetic Survival Training

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Abstract:Survival analysis models time-to-event data, but in clinical settings training data are costly and scarce: events accrue over years of follow-up, cohorts are small, and privacy regulations restrict sharing across institutions. Tabular generative models promise augmentation and privacy-preserving cohort sharing, yet are themselves data-hungry -- on the small cohorts typical of survival analysis, a single generator rarely characterizes the population well enough for downstream models trained on its output to match real-data performance. FoGS (Filtered Mixture-of-Generators for Survival analysis) reframes synthetic-data construction as sample selection rather than generation. A candidate pool is drawn from four architecturally distinct tabular generators, and each sample is scored by an ensemble of seven survival models trained on real data, using proper scoring rules as a per-sample plausibility proxy. A two-level pipeline optimizes, in its outer loop, a selection policy -- generator quotas, scorer weights, a random complement, and stratified balancing on event time and censoring -- against held-out downstream performance, while an inner loop tunes the downstream model (XGBoost-Cox). On 16 public datasets under train-on-synthetic, test-on-real (C-index and IBS, $0$--$100$ scale), FoGS yields mean improvements of $+2.17$ in C-index and $+0.67$ in IBS, improving both metrics on 9 of 16 datasets and at least one on 13 (one-sided Wilcoxon $p=0.039$ and $p=0.035$). It matches or exceeds real-data training on most cohorts, with no significant change in nearest-neighbour privacy margin relative to unfiltered sampling. Sample filtering over a heterogeneous generator pool is thus a viable substitute for real-data training in privacy-restricted clinical settings.

Subjects:

Machine Learning (cs.LG)

Cite as: arXiv:2607.00127 [cs.LG]

(or arXiv:2607.00127v1 [cs.LG] for this version)

https://doi.org/10.48550/arXiv.2607.00127

arXiv-issued DOI via DataCite (pending registration)

Submission history

From: Eugenio Lomurno [view email] [v1] Tue, 30 Jun 2026 20:02:19 UTC (30,372 KB)

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Key points and analysis

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Key points

  • FoGS reframes synthetic data construction as sample selection rather than generation, overcoming performance bottlenecks of single generators on small cohorts.
  • It draws candidate samples from four architecturally distinct generators and scores them with an ensemble of seven survival models.
  • On 16 datasets, FoGS yields mean improvements of +2.17 in C-index and +0.67 in IBS, matching or exceeding real-data training on most cohorts.
  • It maintains privacy margins and serves as a viable substitute for real-data training in privacy-restricted clinical environments.

Highlights and analysis are generated automatically and may contain errors. Check the original source.