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We study the gradient descent (GD) dynamics of a depth-2 linear neural network with a single input and output. We show that GD converges at an explicit linear rate to a global minimum of the training loss, even with a large stepsize --…

Machine Learning · Computer Science 2025-01-22 Pierfrancesco Beneventano , Blake Woodworth

Federated learning (FL) enables collaborative model training across distributed clients without sharing raw data, making it a promising approach for privacy-preserving machine learning. However, ensuring differential privacy (DP) in FL…

Machine Learning · Computer Science 2025-03-28 Kanishka Ranaweera , David Smith , Pubudu N. Pathirana , Ming Ding , Thierry Rakotoarivelo , Aruna Seneviratne

The worldwide adoption of machine learning (ML) and deep learning models, particularly in critical sectors, such as healthcare and finance, presents substantial challenges in maintaining individual privacy and fairness. These two elements…

Machine Learning · Computer Science 2024-04-16 Mengmeng Yang , Ming Ding , Youyang Qu , Wei Ni , David Smith , Thierry Rakotoarivelo

We study the problem of differentially private linear regression where each data point is sampled from a fixed sub-Gaussian style distribution. We propose and analyze a one-pass mini-batch stochastic gradient descent method (DP-AMBSSGD)…

Machine Learning · Computer Science 2022-07-14 Prateek Varshney , Abhradeep Thakurta , Prateek Jain

In distributed learning settings, models are iteratively updated with shared gradients computed from potentially sensitive user data. While previous work has studied various privacy risks of sharing gradients, our paper aims to provide a…

Machine Learning · Computer Science 2024-09-02 Zhuohang Li , Andrew Lowy , Jing Liu , Toshiaki Koike-Akino , Kieran Parsons , Bradley Malin , Ye Wang

State-of-the-art approaches for training Differentially Private (DP) Deep Neural Networks (DNN) face difficulties to estimate tight bounds on the sensitivity of the network's layers, and instead rely on a process of per-sample gradient…

Differentially private stochastic gradient descent (DPSGD) is a variation of stochastic gradient descent based on the Differential Privacy (DP) paradigm, which can mitigate privacy threats that arise from the presence of sensitive…

Machine Learning · Computer Science 2021-12-09 Ali Davody , David Ifeoluwa Adelani , Thomas Kleinbauer , Dietrich Klakow

Federated learning collaboratively trains a neural network on a global server, where each local client receives the current global model weights and sends back parameter updates (gradients) based on its local private data. The process of…

Machine Learning · Computer Science 2025-01-28 Kaiyuan Zhang , Siyuan Cheng , Guangyu Shen , Bruno Ribeiro , Shengwei An , Pin-Yu Chen , Xiangyu Zhang , Ninghui Li

Preserving privacy in contemporary NLP models allows us to work with sensitive data, but unfortunately comes at a price. We know that stricter privacy guarantees in differentially-private stochastic gradient descent (DP-SGD) generally…

Computation and Language · Computer Science 2023-02-01 Manuel Senge , Timour Igamberdiev , Ivan Habernal

Deep neural networks often use large, high-quality datasets to achieve high performance on many machine learning tasks. When training involves potentially sensitive data, this process can raise privacy concerns, as large models have been…

Machine Learning · Computer Science 2025-06-23 Felix Zhou , Samson Zhou , Vahab Mirrokni , Alessandro Epasto , Vincent Cohen-Addad

We propose a reparametrization scheme to address the challenges of applying differentially private SGD on large neural networks, which are 1) the huge memory cost of storing individual gradients, 2) the added noise suffering notorious…

Machine Learning · Computer Science 2021-11-05 Da Yu , Huishuai Zhang , Wei Chen , Jian Yin , Tie-Yan Liu

Gradient leakage attacks are considered one of the wickedest privacy threats in deep learning as attackers covertly spy gradient updates during iterative training without compromising model training quality, and yet secretly reconstruct…

Machine Learning · Computer Science 2021-12-28 Wenqi Wei , Ling Liu

Spatiotemporal federated learning has recently raised intensive studies due to its ability to train valuable models with only shared gradients in various location-based services. On the other hand, recent studies have shown that shared…

Cryptography and Security · Computer Science 2024-07-16 Lele Zheng , Yang Cao , Renhe Jiang , Kenjiro Taura , Yulong Shen , Sheng Li , Masatoshi Yoshikawa

Most existing decentralized learning methods with differential privacy (DP) guarantee rely on constant gradient clipping bounds and fixed-level DP Gaussian noises for each node throughout the training process, leading to a significant…

Machine Learning · Computer Science 2025-05-13 Zehan Zhu , Yan Huang , Xin Wang , Shouling Ji , Jinming Xu

This paper investigates the problem of forecasting multivariate aggregated human mobility while preserving the privacy of the individuals concerned. Differential privacy, a state-of-the-art formal notion, has been used as the privacy…

Machine Learning · Computer Science 2022-06-06 Héber H. Arcolezi , Jean-François Couchot , Denis Renaud , Bechara Al Bouna , Xiaokui Xiao

Accurate load forecasting is crucial for energy management, infrastructure planning, and demand-supply balancing. Smart meter data availability has led to the demand for sensor-based load forecasting. Conventional ML allows training a…

Machine Learning · Computer Science 2025-07-08 Asif Iqbal , Prosanta Gope , Biplab Sikdar

Deep learning models are dominating almost all artificial intelligence tasks such as vision, text, and speech processing. Stochastic Gradient Descent (SGD) is the main tool for training such models, where the computations are usually…

Machine Learning · Computer Science 2023-01-10 Matteo Cacciola , Antonio Frangioni , Masoud Asgharian , Alireza Ghaffari , Vahid Partovi Nia

We use gradient sparsification to reduce the adverse effect of differential privacy noise on performance of private machine learning models. To this aim, we employ compressed sensing and additive Laplace noise to evaluate…

Machine Learning · Computer Science 2020-12-03 Farhad Farokhi

We consider the problem of empirical risk minimization given a database, using the gradient descent algorithm. We note that the function to be optimized may be non-convex, consisting of saddle points which impede the convergence of the…

Machine Learning · Computer Science 2021-01-19 Thulasi Tholeti , Sheetal Kalyani

Graphs offer unique insights into relationships between entities, complementing data modalities like text and images and enabling AI models to extend their capabilities beyond traditional tasks. However, learning from graphs often involves…

Machine Learning · Computer Science 2025-09-18 Haoteng Yin , Rongzhe Wei , Eli Chien , Pan Li