arXiv Machine Learning By Zhe Li, Bicheng Ying, Chaosheng Dong, Haibo Yang

Why Ghost Outputs Teach: A Kernel-Based Understanding of Subliminal Learning

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The paper investigates subliminal learning (SL), where a student model learns downstream tasks by matching auxiliary outputs from a teacher without seeing task labels or original data. By deriving a chained cross‑task kernel, the authors link ghost‑output supervision to changes in task predictions via shared backbone representations. Their framework explains three empirical puzzles: a PSD transfer operator under shared initialization, a rank bottleneck set by ghost‑output dimensionality, and the superiority of high‑entropy synthetic inputs as broadband probes for maximizing kernel overlap.

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arXiv AI
Sep 16

Verbalizing Subliminal Learning Effects Using Text Optimization

The paper introduces SALVE, a method that uses text optimization to uncover and verbalize subliminal learning effects in language models. By optimizing a soft prompt and converting it into a legible text prompt, SALVE can reliably recover the teacher model’s hidden traits that are transmitted through a distillation dataset. The authors demonstrate SALVE’s effectiveness across various scenarios, including mixed datasets, biased teacher activation, and preference‑selected data, thereby providing a tool for detecting hidden influences in model training.

By Nathan Hu, Sanmi Koyejo, Christopher Potts