LGAIOct 25, 2025

Efficient Utility-Preserving Machine Unlearning with Implicit Gradient Surgery

arXiv:2510.22124v15 citationsh-index: 6Has Code
Originality Incremental advance
AI Analysis

This work addresses the problem of efficiently removing sensitive data from models while preserving performance, which is incremental as it builds on multi-objective optimization methods.

The paper tackles the challenge of balancing unlearning efficacy and utility preservation in machine unlearning by modeling it as a constrained optimization problem and proposing an implicit gradient surgery method. The result is an efficient algorithm that achieves better tradeoff results than existing baselines, as shown in extensive experiments.

Machine unlearning (MU) aims to efficiently remove sensitive or harmful memory from a pre-trained model. The key challenge is to balance the potential tradeoff between unlearning efficacy and utility preservation, which involves forgetting undesirable information as defined while maintaining the model's original performance. One potential way to tackle this problem is to use multi-objective optimization to jointly optimize both the unlearning and utility preservation objectives. However, existing multi-objective methods only guarantee finding a Pareto-optimal solution without fine-grained control, which causes under-optimization of the unlearning objective. To this end, we first model MU as a constrained optimization problem, that is, optimizing the unlearning objective under the constraint of a bounded increase for utility loss. We then show that solving this optimization problem is equivalent to unilateral gradient surgery on the unlearning objective. To resolve the additional computational cost brought by gradient surgery, we propose an implicit gradient surgery method, which approximates the solution to the aforementioned constrained optimization problem via only one backpropagation, thereby achieving efficient utility-preserving MU. Theoretically, we provide a tight convergence analysis of the algorithm. Empirically, our extensive experiments show that the proposed algorithm achieves better tradeoff results than existing baselines. Codes are available at https://github.com/anseryuer/EUPMU-Efficient-Utility-Preserving-Machine-Unlearning.

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