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Unmeasured confounding may undermine the validity of causal inference with observational studies. Sensitivity analysis provides an attractive way to partially circumvent this issue by assessing the potential influence of unmeasured…

Statistics Theory · Mathematics 2015-07-15 Peng Ding , Tyler VanderWeele

In a previous contribution, Phys. Rev. Lett 107, 230601 (2011), we have proposed a method to treat first order phase transitions at low temperatures. It describes arbitrary order parameter through an analytical expression $W$, which depends…

Statistical Mechanics · Physics 2015-06-12 Carlos. E. Fiore , M. G. E. da Luz

This paper introduces measures for how each moment contributes to the precision of parameter estimates in GMM settings. For example, one of the measures asks what would happen to the variance of the parameter estimates if a particular…

Econometrics · Economics 2020-01-09 Bo Honore , Thomas Jorgensen , Aureo de Paula

In this paper, a Monte Carlo based approach for the quantification of the importance of the scattering input parameters with respect to the failure probability is presented. Using the basic idea of the alpha-factors of the First Order…

Computation · Statistics 2024-08-14 Thomas Most

As large language models (LLMs) become integral to diverse applications, ensuring their reliability under varying input conditions is crucial. One key issue affecting this reliability is order sensitivity, wherein slight variations in the…

Computation and Language · Computer Science 2025-05-12 Bryan Guan , Tanya Roosta , Peyman Passban , Mehdi Rezagholizadeh

We establish results for the first sensitivity analysis of the stochastic fluid models (SFMs). We derive expressions for the sensitivity analysis of the key stationary and transient (time-dependent) quantities of this class of models. We…

Probability · Mathematics 2026-05-21 Anna Aksamit , Małgorzata M. O'Reilly , Zbigniew Palmowski

A novel algorithm for real-time modal identification in linear vibrating systems with complex modes is introduced, utilizing a combination of first order eigen-perturbation and second order separation techniques. In practical settings,…

Systems and Control · Electrical Eng. & Systems 2023-04-27 Satyam Panda , Sanghamitra Das , Basuraj Bhowmik , Budhaditya Hazra

The effect of inclusion of higher-order interactions in the {\it XY} model on critical properties is studied by Monte Carlo simulations. It is found that an increasing number of the higher-order terms in the Hamiltonian modifies the shape…

Statistical Mechanics · Physics 2018-05-07 Milan Žukovič

In visual cognition, illusions help elucidate certain intriguing latent perceptual functions of the human vision system, and their proper mathematical modeling and computational simulation are therefore deeply beneficial to both biological…

Computer Vision and Pattern Recognition · Computer Science 2007-05-23 Yoon-Mo Jung , Jianhong Shen

We present a new procedure for conducting a sensitivity analysis in matched observational studies. For any candidate test statistic, the approach defines tilted modifications dependent upon the proposed strength of unmeasured confounding.…

Methodology · Statistics 2025-03-14 Colin B. Fogarty

Simulations are becoming ever more common as a tool for designing complex products. Sensitivity analysis techniques can be applied to these simulations to gain insight, or to reduce the complexity of the problem at hand. However, these…

Other Computer Science · Computer Science 2017-02-03 Tom Van Steenkiste , Joachim van der Herten , Ivo Couckuyt , Tom Dhaene

Machine learning techniques are becoming an integral component of data analysis in High Energy Physics (HEP). These tools provide a significant improvement in sensitivity over traditional analyses by exploiting subtle patterns in…

Data Analysis, Statistics and Probability · Physics 2021-10-04 Aishik Ghosh , Benjamin Nachman , Daniel Whiteson

In the context of air quality control, our objective is to quantify the impact of uncertain inputs such as meteorological conditions and traffic parameters on pollutant dispersion maps. It is worth noting that the majority of sensitivity…

We present an exact approach to analyze and quantify the sensitivity of higher moments of probabilistic loops with symbolic parameters, polynomial arithmetic and potentially uncountable state spaces. Our approach integrates methods from…

Programming Languages · Computer Science 2023-09-06 Marcel Moosbrugger , Julian Müllner , Laura Kovács

Causal Machine Learning has emerged as a powerful tool for flexibly estimating causal effects from observational data in both industry and academia. However, causal inference from observational data relies on untestable assumptions about…

Sentiment analysis is a field within NLP that has gained importance because it is applied in various areas such as; social media surveillance, customer feedback evaluation and market research. At the same time, distributed systems allow for…

Computation and Language · Computer Science 2025-03-25 Mahak Shah , Akaash Vishal Hazarika , Meetu Malhotra , Sachin C. Patil , Joshit Mohanty

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

The case$^2$ study, also referred to as the case-case study design, is a valuable approach for conducting inference for treatment effects. Unlike traditional case-control studies, the case$^2$ design compares treatment in two types of cases…

Methodology · Statistics 2025-03-03 Kan Chen , Ting Ye , Dylan S. Small

For nonlinear supervised learning models, assessing the importance of predictor variables or their interactions is not straightforward because it can vary in the domain of the variables. Importance can be assessed locally with sensitivity…

Methodology · Statistics 2021-12-14 Topi Paananen , Michael Riis Andersen , Aki Vehtari

The sensitivity parameter is widely used for quantifying fine tuning. However, examples show it fails to give correct results under certain circumstances. We argue that the problems of the sensitivity parameter are almost identical to the…

High Energy Physics - Phenomenology · Physics 2009-02-05 Su Yan
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