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SPriFed-OMP: A Differentially Private Federated Learning Algorithm for Sparse Basis Recovery

Core Concepts
The author presents SPriFed-OMP, a novel algorithm for differentially private sparse basis recovery in the Federated Learning setting, addressing challenges of privacy and accuracy trade-offs.
The content introduces SPriFed-OMP, a new algorithm for sparse basis recovery in Federated Learning. It combines OMP with SMPC and DP to achieve differential privacy while efficiently recovering true sparse models under high-dimensional settings. The algorithm significantly outperforms existing solutions in terms of accuracy-privacy trade-offs. Key points include the challenges of traditional DP algorithms failing to recover accurate sparse models when p " n, the development of SPriFed-OMP to address these challenges by adding noise efficiently, and the enhancements made to improve performance through gradient privatization. The theoretical analysis and empirical results demonstrate the effectiveness of SPriFed-OMP in achieving accurate sparse recovery under high-dimensional settings.
For DP to achieve desirable privacy guarantees, noise needs to be added with variance proportional to model dimensions (Dwork et al., 2014). Empirical risk is of order Op p nq for DP-SGD even with Lipschitz loss functions (Bassily et al., 2014). Noise required in DP-FL setting can overwhelm signal when p " n (Huang et al., 2021).

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by Ajinkya Kira... at 03-01-2024

Deeper Inquiries

How does the introduction of differential privacy impact the accuracy of sparse model recovery

The introduction of differential privacy has a significant impact on the accuracy of sparse model recovery. In the context of federated learning, where client data must be protected while still enabling model training, traditional methods like OMP may struggle to maintain accuracy when dealing with high-dimensional data and limited samples. Differential privacy introduces noise to protect individual data points, but this noise can interfere with the accurate recovery of sparse models. The challenge lies in balancing the need for privacy with the requirement for accurate model recovery.

What are the implications of using SMPC and DP in combination for ensuring privacy while recovering true sparse models

The combination of Secure Multi-Party Computation (SMPC) and Differential Privacy (DP) in ensuring privacy while recovering true sparse models is crucial for maintaining both data security and model accuracy. SMPC allows multiple parties to jointly compute a function over their inputs without revealing those inputs individually, enhancing privacy protection. By adding DP mechanisms to these computations, such as introducing noise during correlation calculations or gradient updates, it ensures that sensitive information remains confidential while still allowing for effective model training. In the context presented above, using Noisy-SMPC algorithms helps reduce the amount of noise added during computations by aggregating contributions from all clients before applying differential privacy measures. This approach minimizes information leakage while preserving the integrity of the learning process.

How can the findings from this study be applied to other areas beyond machine learning and federated learning

The findings from this study have broader implications beyond machine learning and federated learning applications. The development of algorithms like SPriFed-OMP that combine Sparse Basis Recovery with Differential Privacy in an FL setting opens up possibilities for enhanced data protection and accurate modeling in various fields: Healthcare: Protecting patient data in medical research collaborations while accurately analyzing large datasets. Finance: Ensuring financial transaction confidentiality in collaborative analytics among institutions. Smart Cities: Preserving citizen privacy in shared urban planning initiatives involving diverse datasets. Cybersecurity: Enhancing threat detection capabilities through secure multi-party computation techniques combined with differential privacy safeguards. By leveraging these advanced techniques across different domains, organizations can collaborate securely on valuable datasets without compromising individual user's sensitive information or sacrificing analytical precision.