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The inclusion of a macroscopic adaptive threshold is studied for the retrieval dynamics of both layered feedforward and fully connected neural network models with synaptic noise. These two types of architectures require a different method…

Disordered Systems and Neural Networks · Physics 2007-08-03 D. Bolle , R. Heylen

Stochastic optimization is a pivotal enabler in modern machine learning, producing effective models for various tasks. However, several existing works have shown that model parameters and gradient information are susceptible to privacy…

Machine Learning · Computer Science 2025-09-15 Zhanhong Jiang , Md Zahid Hasan , Nastaran Saadati , Aditya Balu , Chao Liu , Soumik Sarkar

Data engineering often requires accuracy (utility) constraints on results, posing significant challenges in designing differentially private (DP) mechanisms, particularly under stringent privacy parameter $\epsilon$. In this paper, we…

Cryptography and Security · Computer Science 2024-12-17 Bo Jiang , Wanrong Zhang , Donghang Lu , Jian Du , Sagar Sharma , Qiang Yan

Differentially private stochastic gradient descent privatizes model training by injecting noise into each iteration, where the noise magnitude increases with the number of model parameters. Recent works suggest that we can reduce the noise…

Machine Learning · Statistics 2025-07-25 Xin Gu , Gautam Kamath , Zhiwei Steven Wu

In differentially private (DP) tabular data synthesis, the consensus is that statistical models are better than neural network (NN)-based methods. However, we argue that this conclusion is incomplete and overlooks the challenge of densely…

Machine Learning · Computer Science 2025-11-19 Kai Chen , Chen Gong , Tianhao Wang

Differentially private computation often begins with a bound on some $d$-dimensional statistic's $\ell_p$ sensitivity. For pure differential privacy, the $K$-norm mechanism can improve on this approach using a norm tailored to the…

Cryptography and Security · Computer Science 2024-05-22 Matthew Joseph , Alexander Yu

We introduce a new class of spatially stochastic physics and data informed deep latent models for parametric partial differential equations (PDEs) which operate through scalable variational neural processes. We achieve this by assigning…

Machine Learning · Computer Science 2023-06-08 Arnaud Vadeboncoeur , Ieva Kazlauskaite , Yanni Papandreou , Fehmi Cirak , Mark Girolami , Ömer Deniz Akyildiz

Differential privacy has been proven effective for stochastic gradient descent; however, existing methods often suffer from performance degradation in high-dimensional settings, as the scale of injected noise increases with dimensionality.…

Machine Learning · Computer Science 2025-07-10 Huiqi Zhang , Fang Xie

Seismic data denoising is an important part of seismic data processing, which directly relate to the follow-up processing of seismic data. In terms of this issue, many authors proposed many methods based on rank reduction, sparse…

Geophysics · Physics 2024-08-27 Xueting Yang , Yong Li , Zhangquan Liao , Yingtian Liu , Junheng Peng

Coherent wide parameter-space searches for continuous gravitational waves are typically limited in sensitivity by their prohibitive computing cost. Therefore semi-coherent methods (such as StackSlide) can often achieve a better sensitivity.…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Reinhard Prix , Miroslav Shaltev

This paper is motivated by applications of a Census Bureau interested in releasing aggregate socio-economic data about a large population without revealing sensitive information about any individual. The released information can be the…

Databases · Computer Science 2021-05-11 Ferdinando Fioretto , Pascal Van Hentenryck , Keyu Zhu

We consider probabilistic inference in general hybrid networks, which include continuous and discrete variables in an arbitrary topology. We reexamine the question of variable discretization in a hybrid network aiming at minimizing the…

Artificial Intelligence · Computer Science 2013-02-08 Alexander V. Kozlov , Daphne Koller

Machine learning practitioners frequently seek to leverage the most informative available data, without violating the data owner's privacy, when building predictive models. Differentially private data synthesis protects personal details…

Machine Learning · Computer Science 2020-11-12 Lucas Rosenblatt , Xiaoyan Liu , Samira Pouyanfar , Eduardo de Leon , Anuj Desai , Joshua Allen

We develop a flexible approach by combining the Quadtree-based method with suppression to maximize the utility of the grid data and simultaneously to reduce the risk of disclosing private information from individual units. To protect data…

We study the basic operation of set union in the global model of differential privacy. In this problem, we are given a universe $U$ of items, possibly of infinite size, and a database $D$ of users. Each user $i$ contributes a subset $W_i…

Cryptography and Security · Computer Science 2022-04-08 Sivakanth Gopi , Pankaj Gulhane , Janardhan Kulkarni , Judy Hanwen Shen , Milad Shokouhi , Sergey Yekhanin

While machine learning has achieved remarkable results in a wide variety of domains, the training of models often requires large datasets that may need to be collected from different individuals. As sensitive information may be contained in…

Machine Learning · Computer Science 2023-02-07 Richeng Jin , Xiaofan He , Huaiyu Dai

Recent advances have substantially improved the accuracy, memory cost, and training speed of differentially private (DP) deep learning, especially on large vision and language models with millions to billions of parameters. In this work, we…

Machine Learning · Computer Science 2023-10-31 Zhiqi Bu , Ruixuan Liu , Yu-Xiang Wang , Sheng Zha , George Karypis

Differentially private stochastic gradient descent (DP-SGD) has been instrumental in privately training deep learning models by providing a framework to control and track the privacy loss incurred during training. At the core of this…

Machine Learning · Computer Science 2024-08-21 Jeremiah Birrell , Reza Ebrahimi , Rouzbeh Behnia , Jason Pacheco

Monotone finite difference methods provide stable convergent discretizations of a class of degenerate elliptic and parabolic Partial Differential Equations (PDEs). These methods are best suited to regular rectangular grids, which leads to…

Numerical Analysis · Mathematics 2015-11-19 Adam M. Oberman , Ian Zwiers

We propose an algorithm for the adaptation of the learning rate for stochastic gradient descent (SGD) that avoids the need for validation set use. The idea for the adaptiveness comes from the technique of extrapolation: to get an estimate…

Machine Learning · Statistics 2020-08-28 Antti Koskela , Antti Honkela