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Exact Unlearning via Quantized Sufficient Statistics

arXiv机器学习 2026-10-06 02:14 5 阅读 查看原文

Exact unlearning requires a deployed predictor to match one rebuilt without the information named by a deletion request.

Existing general-purpose exact methods localize retraining through disjoint shards, but every request still invalidates a model, and smaller shards reduce the data available to each constituent predictor.

We introduce Quantized Sufficient Statistics (QSS)

Quantized Sufficient Statistics (QSS) separates a small frozen schema from mutable, sum-decomposable content.

The schema learns global structure; the content stores local prediction corrections as additive statistics indexed by quantized regions.

Deleting content is therefore exact subtraction rather than optimization.

Guarantees

We distinguish two guarantees: QSS-L exactly removes a label while retaining the unlabelled input, whereas QSS-E exactly removes both input and label by learning the schema without deletable examples.

Deletion Process

A deletion takes the arithmetic fast path with probability $1-ρ$ and triggers a full rebuild with probability $ρ$; all reported expected latencies include both events.

Performance on Datasets

Across 15 vision, text, and tabular datasets at $ρ=0.5\%$, QSS-L is within 2 percentage points of SISA on 11 tasks and provides 4--483$\times$ lower expected deletion latency on the low-class-count tasks where a compact schema is effective.

Accuracy Cost Quantification

QSS-E quantifies the additional accuracy cost of removing every trace of an input.