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Many real-world applications are addressed through a linear least-squares problem formulation, whose solution is calculated by means of an iterative approach. A huge amount of studies has been carried out in the optimization field to…

数值分析 · 数学 2013-11-25 Anastasia Cornelio , Federica Porta , Marco Prato , Luca Zanni

Edge-preserving image smoothing is a fundamental procedure for many computer vision and graphic applications. There is a tradeoff between the smoothing quality and the processing speed: the high smoothing quality usually requires a high…

图形学 · 计算机科学 2020-05-19 Wei Liu , Pingping Zhang , Xiaolin Huang , Jie Yang , Chunhua Shen , Ian Reid

In this paper, we develop a new sequential regression modeling approach for data streams. Data streams are commonly found around us, e.g in a retail enterprise sales data is continuously collected every day. A demand forecasting model is an…

机器学习 · 统计学 2017-01-11 Chitta Ranjan , Samaneh Ebrahimi , Kamran Paynabar

In this paper, we investigate the problem of differentially private distributed optimization. Recognizing that lower sensitivity leads to higher accuracy, we analyze the key factors influencing the sensitivity of differentially private…

最优化与控制 · 数学 2026-01-05 Furan Xie , Bing Liu , Li Chai

Low-rank adaptations (LoRA) are widely used to fine-tune large models across various domains for specific downstream tasks. While task-specific LoRAs are often available, concerns about data privacy and intellectual property can restrict…

机器学习 · 计算机科学 2025-04-16 Hongxu Chen , Runshi Li , Bowei Zhu , Zhen Wang , Long Chen

Deep neural networks tend to underestimate uncertainty and produce overly confident predictions. Recently proposed solutions, such as MC Dropout and SDENet, require complex training and/or auxiliary out-of-distribution data. We propose a…

机器学习 · 计算机科学 2021-10-14 Akib Mashrur , Wei Luo , Nayyar A. Zaidi , Antonio Robles-Kelly

A central issue in machine learning is how to train models on sensitive user data. Industry has widely adopted a simple algorithm: Stochastic Gradient Descent with noise (a.k.a. Stochastic Gradient Langevin Dynamics). However, foundational…

机器学习 · 计算机科学 2023-03-01 Jason M. Altschuler , Kunal Talwar

Hyperparameter tuning is a common practice in the application of machine learning but is a typically ignored aspect in the literature on privacy-preserving machine learning due to its negative effect on the overall privacy parameter. In…

机器学习 · 计算机科学 2025-05-26 Youlong Ding , Xueyang Wu

Iterative clustering algorithms help us to learn the insights behind the data. Unfortunately, this may allow adversaries to infer the privacy of individuals with some background knowledge. In the worst case, the adversaries know the…

密码学与安全 · 计算机科学 2022-04-05 Zhigang Lu , Hong Shen

The affine rank minimization (ARM) problem is well known for both its applications and the fact that it is NP-hard. One of the most successful approaches, yet arguably underrepresented, is iteratively reweighted least squares (IRLS), more…

最优化与控制 · 数学 2021-06-29 Sebastian Krämer

It is common practice to use data containing personal information to build predictive models in the framework of empirical risk minimization (ERM). While these models can be highly accurate in prediction, sharing the results from these…

机器学习 · 统计学 2024-09-30 Spencer Giddens , Yiwang Zhou , Kevin R. Krull , Tara M. Brinkman , Peter X. K. Song , Fang Liu

Principal component analysis (PCA) is often used to reduce the dimension of data by selecting a few orthonormal vectors that explain most of the variance structure of the data. L1 PCA uses the L1 norm to measure error, whereas the…

机器学习 · 统计学 2020-09-04 Young Woong Park , Diego Klabjan

Privacy-preserving distributed machine learning becomes increasingly important due to the recent rapid growth of data. This paper focuses on a class of regularized empirical risk minimization (ERM) machine learning problems, and develops…

机器学习 · 计算机科学 2016-03-11 Tao Zhang , Quanyan Zhu

This work develops a robust diffusion recursive least squares algorithm to mitigate the performance degradation often experienced in networks of agents in the presence of impulsive noise. This algorithm minimizes an exponentially weighted…

信息论 · 计算机科学 2019-02-20 Y. Yu , R. C. de Lamare , Y. Zakharov

We study the problem of differentially private (DP) matrix completion under user-level privacy. We design a joint differentially private variant of the popular Alternating-Least-Squares (ALS) method that achieves: i) (nearly) optimal sample…

机器学习 · 计算机科学 2021-07-22 Steve Chien , Prateek Jain , Walid Krichene , Steffen Rendle , Shuang Song , Abhradeep Thakurta , Li Zhang

We develop a Recursive $\mathcal{L}_1$-Regularized Least Squares (SPARLS) algorithm for the estimation of a sparse tap-weight vector in the adaptive filtering setting. The SPARLS algorithm exploits noisy observations of the tap-weight…

信息论 · 计算机科学 2009-01-08 Behtash Babadi , Nicholas Kalouptsidis , Vahid Tarokh

This paper proposes a locally differentially private federated learning algorithm for strongly convex but possibly nonsmooth problems that protects the gradients of each worker against an honest but curious server. The proposed algorithm…

机器学习 · 计算机科学 2023-08-03 Jiaojiao Zhang , Dominik Fay , Mikael Johansson

It is difficult to continually update private machine learning models with new data while maintaining privacy. Data incur increasing privacy loss -- as measured by differential privacy -- when they are used in repeated computations. In this…

机器学习 · 计算机科学 2022-03-08 Lauren Watson , Abhirup Ghosh , Benedek Rozemberczki , Rik Sarkar

This article introduces differentially private log-location-scale (DP-LLS) regression models, which incorporate differential privacy into LLS regression through the functional mechanism. The proposed models are established by injecting…

机器学习 · 统计学 2024-04-16 Jiewen Sheng , Xiaolei Fang

Numerical linear algebra plays an important role in computer science. In this paper, we initiate the study of performing linear algebraic tasks while preserving privacy when the data is streamed online. Our main focus is the space…

数据结构与算法 · 计算机科学 2017-10-26 Jalaj Upadhyay