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The problem of estimating parameters of linear control valve with hysteresis is considered. The hysteretic behavior of control valve is formulated as a switched linear model. An indicator vector, which shows the switching epochs of switched…

Systems and Control · Computer Science 2016-05-03 Li Liang , Liu Jiannan , Wan Huaqing

In linear regression we wish to estimate the optimum linear least squares predictor for a distribution over $d$-dimensional input points and real-valued responses, based on a small sample. Under standard random design analysis, where the…

Machine Learning · Statistics 2022-06-08 Michał Dereziński , Manfred K. Warmuth , Daniel Hsu

To take sample biases and skewness in the observations into account, practitioners frequently weight their observations according to some marginal distribution. The present paper demonstrates that such weighting can indeed improve the…

Methodology · Statistics 2018-11-05 Tobias Niebuhr , Mathias Trabs

In many areas of engineering and sciences, decision rules and control strategies are usually designed based on nominal values of relevant system parameters. To ensure that a control strategy or decision rule will work properly when the…

Probability · Mathematics 2020-06-16 Xinjia Chen

Observational studies of treatment effects require adjustment for confounding variables. However, causal inference methods typically cannot deliver perfect adjustment on all measured baseline variables, and there is often ambiguity about…

Methodology · Statistics 2024-02-16 Lauren D. Liao , Yeyi Zhu , Amanda L. Ngo , Rana F. Chehab , Samuel D. Pimentel

Understanding causal relationships among the variables of a system is paramount to explain and control its behavior. For many real-world systems, however, the true causal graph is not readily available and one must resort to predictions…

Machine Learning · Statistics 2024-12-20 Elias Eulig , Atalanti A. Mastakouri , Patrick Blöbaum , Michaela Hardt , Dominik Janzing

Order statistics theory is applied in this paper to probabilistic robust control theory to compute the minimum sample size needed to come up with a reliable estimate of an uncertain quantity under continuity assumption of the related…

Optimization and Control · Mathematics 2008-05-13 Xinjia Chen , Kemin Zhou

Predicting the minimum operating voltage ($V_{min}$) of chips stands as a crucial technique in enhancing the speed and reliability of manufacturing testing flow. However, existing $V_{min}$ prediction methods often overlook various sources…

Systems and Control · Electrical Eng. & Systems 2024-08-13 Yuxuan Yin , Rebecca Chen , Chen He , Peng Li

This paper evaluates XGboost's performance given different dataset sizes and class distributions, from perfectly balanced to highly imbalanced. XGBoost has been selected for evaluation, as it stands out in several benchmarks due to its…

Machine Learning · Computer Science 2023-03-28 Gissel Velarde , Anindya Sudhir , Sanjay Deshmane , Anuj Deshmunkh , Khushboo Sharma , Vaibhav Joshi

We study the estimation of causal parameters when not all confounders are observed and instead negative controls are available. Recent work has shown how these can enable identification and efficient estimation via two so-called bridge…

Machine Learning · Statistics 2022-10-11 Nathan Kallus , Xiaojie Mao , Masatoshi Uehara

This paper focuses on the use of unknown input observers for detection and isolation of actuator and effector faults with control reconfiguration in overactuated systems. The control allocation actively uses input redundancy in order to…

Optimization and Control · Mathematics 2013-06-25 Andrea Cristofaro , Tor Arne Johansen

Estimation using pooled sampling has long been an area of interest in the group testing literature. Such research has focused primarily on the assumed use of fixed sampling plans (i), although some recent papers have suggested alternative…

Statistics Theory · Mathematics 2017-03-27 Gregory Haber , Yaakov Malinovsky , Paul Albert

We present a straightforward and efficient way to control unstable robotic systems using an estimated dynamics model. Specifically, we show how to exploit the differentiability of Gaussian Processes to create a state-dependent linearized…

Robotics · Computer Science 2021-08-03 Ivan D. Jimenez Rodriguez , Ugo Rosolia , Aaron D. Ames , Yisong Yue

Safety-critical navigation applications require that estimation errors be reliably quantified and bounded. This can be challenging for linear dynamic systems if the process noise or measurement errors have uncertain time correlation. In…

Signal Processing · Electrical Eng. & Systems 2020-09-22 Omar Garcia Crespillo , Mathieu Joerger , Steve Langel

When dealing with large scale gene expression studies, observations are commonly contaminated by unwanted variation factors such as platforms or batches. Not taking this unwanted variation into account when analyzing the data can lead to…

Applications · Statistics 2012-11-20 Laurent Jacob , Johann Gagnon-Bartsch , Terence P. Speed

We address the problem of A/B testing, a widely used protocol for evaluating the potential improvement achieved by a new decision system compared to a baseline. This protocol segments the population into two subgroups, each exposed to a…

Machine Learning · Statistics 2025-06-16 Otmane Sakhi , Alexandre Gilotte , David Rohde

An observational study may be biased for estimating causal effects by failing to control for unmeasured confounders. This paper proposes a new quantity called the "sensitivity value", which is defined as the minimum strength of unmeasured…

Methodology · Statistics 2017-05-24 Qingyuan Zhao

We describe and analyze a variance reduction approach for Monte Carlo (MC) sampling that accelerates the estimation of statistics of computationally expensive simulation models using an ensemble of models with lower cost. These lower cost…

Computation · Statistics 2021-05-04 Alex A. Gorodetsky , Gianluca Geraci , Mike Eldred , John D. Jakeman

We consider the problem of estimating a low-dimensional parameter in high-dimensional linear regression. Constructing an approximately unbiased estimate of the parameter of interest is a crucial step towards performing statistical…

Statistics Theory · Mathematics 2021-07-30 Michael Celentano , Andrea Montanari

We review the alternative proposals introduced recently in the literature to update the standard formula to estimate the uncertainty on the mean of repeated measurements, and we compare their performances on synthetic examples with normal…

Data Analysis, Statistics and Probability · Physics 2022-09-13 Pascal Pernot , Jean-Paul Berthet