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System-Aware Unlearning Algorithms: Use Lesser, Forget Faster

ICML 2025 · Learning theory and algorithms › Prediction and decision losses · approach: Data attribution and recourse · 0 citations (OpenAlex)

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Proposes system-aware unlearning, which only requires indistinguishability from a state-of-system built on a core set, and gives an exact unlearning algorithm for linear classification via monotonic selective sampling (BBQSampler) with sublinear memory.

Problem

Traditional exact unlearning requires an attacker-worst-case indistinguishability from retraining on S\U, which forces storing the entire dataset for linear classifiers and makes unlearning expensive and impractical at scale.

Approach

Relax the unlearning definition to be system-aware: indistinguishability is required only against the stored state, relative to some subset S' (a core set) chosen from S. Core-set algorithms built on monotonic selective sampling (query condition independent of labels) let deletions outside the core set be free and only core-set deletions require updates, yielding exact unlearning with sublinear me

Key results

Measured effects reported in the paper

What was changedWhereMeasuredEffect
Use selective-sampling core-set unlearning instead of exact retrainingLinear classification · Purchase Datasetaccumulated deletion time: 58.3 vs 579.3 secsHelped
Use selective-sampling core-set unlearning instead of exact retrainingLinear classification · Purchase Datasetmemory usage: 13.1% vs 100%Helped
Use selective-sampling core-set unlearning instead of SISALinear classification · Purchase Datasetaccumulated deletion time: 58.3 vs 1174.3 secsHelped
Use selective-sampling core-set unlearning instead of SISALinear classification · Purchase Datasetaccuracy over deletionsHelped
Use selective-sampling core-set unlearning instead of exact retrainingLinear classification · Margin Datasetaccumulated deletion time: 0.5 vs 27.1 secsHelped
Use selective-sampling core-set unlearning instead of exact retrainingLinear classification · Margin Datasetmemory usage: 0.6% vs 100%Helped
Use selective-sampling core-set unlearning instead of SISALinear classification · Margin Datasetaccuracy over deletionsHelped
Use selective-sampling core-set unlearning instead of SISALinear classification · Margin Datasetinitial training time: 1.3 vs 20.6 secsHelped

Surprising findings

Limitations

Experimental setup

Datasets: Purchase dataset Margin dataset (synthetic)

Benchmarks: Purchase dataset Margin dataset

Metrics: test accuracy over label-dependent deletions initial training time accumulated deletion time percentage of data stored in memory

Baselines: SISA Exact Retraining Unlearning Algorithm from prior work (exact retraining for linear regression)

Builds on: BBQSampler SISA certified machine unlearning perfect unlearning

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