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Observational studies provide invaluable opportunities to draw causal inference, but they may suffer from biases due to pretreatment difference between treated and control units. Matching is a popular approach to reduce observed covariate…

Methodology · Statistics 2025-09-17 Xinran Li

The sensitivities revealed by a sensitivity analysis of a probabilistic network typically depend on the entered evidence. For a real-life network therefore, the analysis is performed a number of times, with different evidence. Although…

Artificial Intelligence · Computer Science 2012-07-19 Silja Renooij , Linda C. van der Gaag

The paper introduces a new estimation method for the standard linear regression model. The procedure is not driven by the optimisation of any objective function rather, it is a simple weighted average of slopes from observation pairs. The…

Econometrics · Economics 2024-02-27 Felix Chan , Laszlo Matyas

Likelihood-based methods of statistical inference provide a useful general methodology that is appealing, as a straightforward asymptotic theory can be applied for their implementation. It is important to assess the relationships between…

Statistics Theory · Mathematics 2015-03-20 Thomas J. DiCiccio , Todd A. Kuffner , G. Alastair Young , Russell Zaretzki

The insensitive parameter in support vector regression determines the set of support vectors that greatly impacts the prediction. A data-driven approach is proposed to determine an approximate value for this insensitive parameter by…

Machine Learning · Computer Science 2020-03-10 Jinran Wu , You-Gan Wang

With the advance of efficient analytical methods for sensitivity analysis ofprobabilistic networks, the interest in the sensitivities revealed by real-life networks is rekindled. As the amount of data resulting from a sensitivity analysis…

Artificial Intelligence · Computer Science 2013-01-14 Linda C. van der Gaag , Silja Renooij

This paper takes a different approach for the distributed linear parameter estimation over a multi-agent network. The parameter vector is considered to be stochastic with a Gaussian distribution. The sensor measurements at each agent are…

Systems and Control · Electrical Eng. & Systems 2022-04-19 Subhro Das

Many trials are designed to collect outcomes at or around pre-specified times after randomization. If there is variability in the times when participants are actually assessed, this can pose a challenge to learning the effect of treatment,…

Variable importance measures (VIMs) aim to quantify the contribution of each input covariate to the predictability of a given output. With the growing interest in explainable AI, numerous VIMs have been proposed, many of which are heuristic…

Methodology · Statistics 2025-09-23 Angel Reyero-Lobo , Pierre Neuvial , Bertrand Thirion

Attribution methods can provide powerful insights into the reasons for a classifier's decision. We argue that a key desideratum of an explanation method is its robustness to input hyperparameters which are often randomly set or empirically…

Computer Vision and Pattern Recognition · Computer Science 2020-04-14 Naman Bansal , Chirag Agarwal , Anh Nguyen

This paper considers extensions of minimum-disparity estimators to the problem of estimating parameters in a regression model that is conditionally specified; that is where a parametric model describes the distribution of a response $y$…

Statistics Theory · Mathematics 2016-02-10 Giles Hooker

Linear regression on network-linked observations has been an essential tool in modeling the relationship between response and covariates with additional network structures. Previous methods either lack inference tools or rely on restrictive…

Methodology · Statistics 2022-08-22 Can M. Le , Tianxi Li

Causal inference with observational studies often suffers from unmeasured confounding, yielding biased estimators based on the unconfoundedness assumption. Sensitivity analysis assesses how the causal conclusions change with respect to…

Methodology · Statistics 2024-04-01 Sizhu Lu , Peng Ding

Weighting methods are popular tools for estimating causal effects; assessing their robustness under unobserved confounding is important in practice. In the following paper, we introduce a new set of sensitivity models called "variance-based…

Methodology · Statistics 2023-03-14 Melody Huang , Samuel D. Pimentel

Linear regression is a fundamental and popular statistical method. There are various kinds of linear regression, such as mean regression and quantile regression. In this paper, we propose a new one called distribution regression, which…

Methodology · Statistics 2017-12-27 Xin Chen , Xuejun Ma , Wang Zhou

Most analyses of randomised trials with incomplete outcomes make untestable assumptions and should therefore be subjected to sensitivity analyses. However, methods for sensitivity analyses are not widely used. We propose a mean score…

Methodology · Statistics 2020-07-21 Ian R. White , James Carpenter , Nicholas J. Horton

We propose and discuss sensitivity metrics for reliability analysis, which are based on the value of information. These metrics are easier to interpret than other existing sensitivity metrics in the context of a specific decision and they…

Optimization and Control · Mathematics 2021-12-03 Daniel Straub , Max Ehre , Iason Papaioannou

We provide a novel method for sensitivity analysis of parametric robust Markov chains. These models incorporate parameters and sets of probability distributions to alleviate the often unrealistic assumption that precise probabilities are…

Machine Learning · Computer Science 2023-05-03 Thom Badings , Sebastian Junges , Ahmadreza Marandi , Ufuk Topcu , Nils Jansen

While sensitivity analysis improves the transparency and reliability of mathematical models, its uptake by modelers is still scarce. This is partially explained by its technical requirements, which may be hard to understand and implement by…

Applications · Statistics 2023-03-20 Arnald Puy , Pamphile T. Roy , Andrea Saltelli

Probabilistic sensitivity analysis identifies the influential uncertain input to guide decision-making. We propose a general sensitivity framework with respect to the input distribution parameters that unifies a wide range of sensitivity…

Methodology · Statistics 2023-02-10 Jiannan Yang
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