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We analyze convergence of decentralized cooperative online estimation algorithms by a network of multiple nodes via information exchanging in an uncertain environment. Each node has a linear observation of an unknown parameter with randomly…

Signal Processing · Electrical Eng. & Systems 2020-12-08 Jiexiang Wang , Tao Li , Xiwei Zhang

During the last few decades, online controlled experiments (also known as A/B tests) have been adopted as a golden standard for measuring business improvements in industry. In our company, there are more than a billion users participating…

Applications · Statistics 2021-08-06 Tao Xiong , Yihan Bao , Penglei Zhao , Yong Wang

Online experiments such as Randomised Controlled Trials (RCTs) or A/B-tests are the bread and butter of modern platforms on the web. They are conducted continuously to allow platforms to estimate the causal effect of replacing system…

Machine Learning · Computer Science 2023-04-24 Olivier Jeunen

We propose a decentralized online learning algorithm for distributed random inverse problems over network graphs with online measurements, and unifies the distributed parameter estimation in Hilbert spaces and the least mean square problem…

Machine Learning · Computer Science 2026-04-09 Xiwei Zhang , Tao Li , Yan Chen , Qianyuan Long

Online reinforcement learning and other adaptive sampling algorithms are increasingly used in digital intervention experiments to optimize treatment delivery for users over time. In this work, we focus on longitudinal user data collected by…

Machine Learning · Computer Science 2023-04-20 Kelly W. Zhang , Lucas Janson , Susan A. Murphy

Under a partially linear models we study a family of robust estimates for the regression parameter and the regression function when some of the predictor variables take values on a Riemannian manifold. We obtain the consistency and the…

Statistics Theory · Mathematics 2011-05-26 Guillermo Henry , Daniela Rodriguez

Conformal prediction is a framework for uncertainty quantification that constructs prediction sets for previously unseen data, guaranteeing coverage of the true label with a specified probability. However, the efficiency of these prediction…

Machine Learning · Computer Science 2026-01-06 Erfan Hajihashemi , Yanning Shen

In this paper, we consider the problem of estimating parameters of a linear regression model. Using a hybrid systems framework, a hybrid algorithm is proposed allowing the estimate to converge to the exact value of the unknown parameters in…

Systems and Control · Electrical Eng. & Systems 2026-03-04 Adnane Saoud , Ryan S. Johnson , Ricardo G. Sanfelice

In the problem of online unweighted interval selection, the objective is to maximize the number of non-conflicting intervals accepted by the algorithm. In the conventional online model of irrevocable decisions, there is an Omega(n) lower…

Data Structures and Algorithms · Computer Science 2025-06-03 Allan Borodin , Christodoulos Karavasilis

Online imitation learning is the problem of how best to mimic expert demonstrations, given access to the environment or an accurate simulator. Prior work has shown that in the infinite sample regime, exact moment matching achieves value…

This paper considers online convex optimization with time-varying constraint functions. Specifically, we have a sequence of convex objective functions $\{f_t(x)\}_{t=0}^{\infty}$ and convex constraint functions…

Optimization and Control · Mathematics 2017-02-20 Michael J. Neely , Hao Yu

Machine learning algorithms have grown in sophistication over the years and are increasingly deployed for real-life applications. However, when using machine learning techniques in practical settings, particularly in high-risk applications…

Machine Learning · Computer Science 2023-10-06 Sukrita Singh , Neeraj Sarna , Yuanyuan Li , Yang Li , Agni Orfanoudaki , Michael Berger

We consider the problem of collaborative distributed estimation in a large scale sensor network with statistically dependent sensor observations. In collaborative setup, the aim is to maximize the overall estimation performance by modeling…

Signal Processing · Electrical Eng. & Systems 2022-03-21 Shan Zhang , Pranay Sharma , Baocheng Geng , Pramod K. Varshney

We consider the robust estimation of the parameters of multivariate Gaussian linear regression models. To this aim we consider robust version of the usual (Mahalanobis) least-square criterion, with or without Ridge regularization. We…

Statistics Theory · Mathematics 2025-10-13 Antoine Godichon-Baggioni , Stephane S. Robin , Laure Sansonnet

Algorithmic robustness refers to the sustained performance of a computational system in the face of change in the nature of the environment in which that system operates or in the task that the system is meant to perform. Below, we motivate…

Artificial Intelligence · Computer Science 2023-11-14 David Jensen , Brian LaMacchia , Ufuk Topcu , Pamela Wisniewski

Discrete adversarial attacks are symbolic perturbations to a language input that preserve the output label but lead to a prediction error. While such attacks have been extensively explored for the purpose of evaluating model robustness,…

Machine Learning · Computer Science 2021-11-02 Maor Ivgi , Jonathan Berant

Machine-learned predictors, although achieving very good results for inputs resembling training data, cannot possibly provide perfect predictions in all situations. Still, decision-making systems that are based on such predictors need not…

Data Structures and Algorithms · Computer Science 2023-04-07 Antonios Antoniadis , Christian Coester , Marek Elias , Adam Polak , Bertrand Simon

One of the intensely studied concepts of network robustness is $r$-robustness, which is a network topology property quantified by an integer $r$. It is required by mean subsequence reduced (MSR) algorithms and their variants to achieve…

Systems and Control · Electrical Eng. & Systems 2022-07-26 Yuhao Yi , Yuan Wang , Xingkang He , Stacy Patterson , Karl H. Johansson

We study robust estimators of the mean of a probability measure $P$, called robust empirical mean estimators. This elementary construction is then used to revisit a problem of aggregation and a problem of estimator selection, extending…

Statistics Theory · Mathematics 2021-07-05 M. Lerasle , R. I. Oliveira

We consider the problem of approximating the regression function $f_\mu:\, \Omega \to Y$ from noisy $\mu$-distributed vector-valued data $(\omega_m,y_m)\in\Omega\times Y$ by an online learning algorithm using a reproducing kernel Hilbert…

Machine Learning · Statistics 2025-10-03 Michael Griebel , Peter Oswald