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相关论文: Differentially Private Bilevel Optimization

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Although application examples of multilevel optimization have already been discussed since the 1990s, the development of solution methods was almost limited to bilevel cases due to the difficulty of the problem. In recent years, in machine…

最优化与控制 · 数学 2021-10-27 Ryo Sato , Mirai Tanaka , Akiko Takeda

Bilevel optimization enjoys a wide range of applications in emerging machine learning and signal processing problems such as hyper-parameter optimization, image reconstruction, meta-learning, adversarial training, and reinforcement…

机器学习 · 计算机科学 2025-01-08 Han Shen , Quan Xiao , Tianyi Chen

Hierarchical Clustering is a popular unsupervised machine learning method with decades of history and numerous applications. We initiate the study of differentially private approximation algorithms for hierarchical clustering under the…

机器学习 · 计算机科学 2023-05-25 Jacob Imola , Alessandro Epasto , Mohammad Mahdian , Vincent Cohen-Addad , Vahab Mirrokni

Differentially private algorithms allow large-scale data analytics while preserving user privacy. Designing such algorithms for graph data is gaining importance with the growth of large networks that model various (sensitive) relationships…

数据结构与算法 · 计算机科学 2022-11-22 Laxman Dhulipala , Quanquan C. Liu , Sofya Raskhodnikova , Jessica Shi , Julian Shun , Shangdi Yu

We study differentially private (DP) algorithms for smooth stochastic minimax optimization, with stochastic minimization as a byproduct. The holy grail of these settings is to guarantee the optimal trade-off between the privacy and the…

机器学习 · 计算机科学 2022-10-20 Liang Zhang , Kiran Koshy Thekumparampil , Sewoong Oh , Niao He

Data privacy is an important concern in learning, when datasets contain sensitive information about individuals. This paper considers consensus-based distributed optimization under data privacy constraints. Consensus-based optimization…

机器学习 · 计算机科学 2019-03-20 Mehrdad Showkatbakhsh , Can Karakus , Suhas Diggavi

Privacy concerns with sensitive data are receiving increasing attention. In this paper, we study local differential privacy (LDP) in interactive decentralized optimization. By constructing random local aggregators, we propose a framework to…

最优化与控制 · 数学 2019-06-04 Hanshen Xiao , Yu Ye , Srinivas Devadas

We introduce a framework based on bilevel programming that unifies gradient-based hyperparameter optimization and meta-learning. We show that an approximate version of the bilevel problem can be solved by taking into explicit account the…

机器学习 · 统计学 2018-07-04 Luca Franceschi , Paolo Frasconi , Saverio Salzo , Riccardo Grazzi , Massimilano Pontil

Differential privacy (DP) has been applied in deep learning for preserving privacy of the underlying training sets. Existing DP practice falls into three categories - objective perturbation, gradient perturbation and output perturbation.…

密码学与安全 · 计算机科学 2022-04-28 Zhigang Lu , Hassan Jameel Asghar , Mohamed Ali Kaafar , Darren Webb , Peter Dickinson

In this work, we conduct a systematic study of stochastic saddle point problems (SSP) and stochastic variational inequalities (SVI) under the constraint of $(\epsilon,\delta)$-differential privacy (DP) in both Euclidean and non-Euclidean…

机器学习 · 计算机科学 2024-11-11 Raef Bassily , Cristóbal Guzmán , Michael Menart

Gradient clipping is a fundamental tool in Deep Learning, improving the high-probability convergence of stochastic first-order methods like SGD, AdaGrad, and Adam under heavy-tailed noise, which is common in training large language models.…

机器学习 · 计算机科学 2025-09-30 Saleh Vatan Khah , Savelii Chezhegov , Shahrokh Farahmand , Samuel Horváth , Eduard Gorbunov

In this work, we propose different formulations and gradient-based algorithms for deterministic and stochastic bilevel problems with conflicting objectives in the lower level. Such problems have received little attention in the…

最优化与控制 · 数学 2023-11-08 Tommaso Giovannelli , Griffin Dean Kent , Luis Nunes Vicente

Bilevel optimization has arisen as a powerful tool in modern machine learning. However, due to the nested structure of bilevel optimization, even gradient-based methods require second-order derivative approximations via Jacobian- or/and…

机器学习 · 计算机科学 2022-06-07 Daouda Sow , Kaiyi Ji , Yingbin Liang

We propose an optimization proxy in terms of iterative implicit gradient methods for solving constrained optimization problems with nonconvex loss functions. This framework can be applied to a broad range of machine learning settings,…

最优化与控制 · 数学 2025-10-14 Harshal D. Kaushik , Ming Jin

Differential privacy enables organizations to collect accurate aggregates over sensitive data with strong, rigorous guarantees on individuals' privacy. Previous work has found that under differential privacy, computing multiple correlated…

数据库 · 计算机科学 2016-05-18 Ganzhao Yuan , Yin Yang , Zhenjie Zhang , Zhifeng Hao

Temporal difference (TD) learning is a widely used method to evaluate policies in reinforcement learning. While many TD learning methods have been developed in recent years, little attention has been paid to preserving privacy and most of…

机器学习 · 计算机科学 2022-01-26 Canzhe Zhao , Yanjie Ze , Jing Dong , Baoxiang Wang , Shuai Li

In this work, we analyze the optimization behaviour of common private learning optimization algorithms under heavy-tail class imbalanced distribution. We show that, in a stylized model, optimizing with Gradient Descent with differential…

机器学习 · 计算机科学 2025-07-15 Qiaoyue Tang , Alain Zhiyanov , Mathias Lécuyer

Differential privacy (DP) is a prominent method for protecting information about individuals during data analysis. Training neural networks with differentially private stochastic gradient descent (DPSGD) influences the model's learning…

机器学习 · 计算机科学 2025-10-10 Lea Demelius , Dominik Kowald , Simone Kopeinik , Roman Kern , Andreas Trügler

The hidden state threat model of differential privacy (DP) assumes that the adversary has access only to the final trained machine learning (ML) model, without seeing intermediate states during training. However, the current privacy…

机器学习 · 计算机科学 2025-05-27 Rob Romijnders , Antti Koskela

Hyperparameter optimization in machine learning is often achieved using naive techniques that only lead to an approximate set of hyperparameters. Although techniques such as Bayesian optimization perform an intelligent search on a given…

机器学习 · 计算机科学 2023-06-21 Ankur Sinha , Satender Gunwal , Shivam Kumar