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This paper is concerned with the modeling errors appeared in the numerical methods of inverse medium scattering problems (IMSP). Optimization based iterative methods are wildly employed to solve IMSP, which are computationally intensive due…

Numerical Analysis · Mathematics 2021-02-23 Junxiong Jia , Bangyu Wu , Jigen Peng , Jinghuai Gao

Mendelian randomization is the use of genetic variants to make causal inferences from observational data. The field is currently undergoing a revolution fuelled by increasing numbers of genetic variants demonstrated to be associated with…

Methodology · Statistics 2018-08-31 Stephen Burgess , Jack Bowden , Frank Dudbridge , Simon G Thompson

Quantifying the uncertainty of forecasting models is essential to assess and mitigate the risks associated with data-driven decisions, especially in volatile domains such as electricity markets. Machine learning methods can provide highly…

Machine Learning · Computer Science 2025-07-22 Arkadiusz Lipiecki , Bartosz Uniejewski

This paper discusses the solution of nonlinear integral equations with noisy integral kernels as they appear in nonparametric instrumental regression. We propose a regularized Newton-type iteration and establish convergence and convergence…

Numerical Analysis · Mathematics 2015-04-01 Fabian Dunker , Jean-Pierre Florens , Thorsten Hohage , Jan Johannes , Enno Mammen

Understanding dynamics in complex systems is challenging because there are many degrees of freedom, and those that are most important for describing events of interest are often not obvious. The leading eigenfunctions of the transition…

Computational Physics · Physics 2023-07-24 John Strahan , Spencer C. Guo , Chatipat Lorpaiboon , Aaron R. Dinner , Jonathan Weare

In a randomized controlled trial, treatment switching (also called contamination or crossover) occurs when a patient initially assigned to one treatment arm changes to another arm during the course of follow-up. Overlooking treatment…

Methodology · Statistics 2022-09-27 Andrew Ying

This study extends the Bayesian nonparametric instrumental variable regression model to determine the structural effects of covariates on the conditional quantile of the response variable. The error distribution is nonparametrically…

Methodology · Statistics 2016-08-30 Genya Kobayashi , Kota Ogasawara

We consider instrumental variable estimation of the proportional hazards model of Cox (1972). The instrument and the endogenous variable are discrete but there can be (possibly continuous) exogenous covariables. By making a rank invariance…

Econometrics · Economics 2023-09-06 Lorenzo Tedesco , Jad Beyhum , Ingrid Van Keilegom

We extend nonparametric regression smoothing splines to a context where there is endogeneity and instrumental variables are available. Unlike popular existing estimators, the resulting estimator is one-step and relies on a unique…

Econometrics · Economics 2024-12-10 Jad Beyhum , Elia Lapenta , Pascal Lavergne

Computing accurate periodic responses in strongly nonlinear or even non-smooth vibration systems remains a fundamental challenge in nonlinear dynamics. Existing numerical methods, such as the Harmonic Balance Method (HBM) and the Shooting…

Numerical Analysis · Mathematics 2025-10-28 Limin Cao , Yanmao Chen , Li Wang , Loic Salles , Zechang Zheng

The instrumental variable (IV) design is a common approach to address hidden confounding bias. For validity, an IV must impact the outcome only through its association with the treatment. In addition, IV identification has required a…

We discuss the fundamental issue of identification in linear instrumental variable (IV) models with unknown IV validity. With the assumption of the "sparsest rule", which is equivalent to the plurality rule but becomes operational in…

Methodology · Statistics 2023-12-06 Yiqi Lin , Frank Windmeijer , Xinyuan Song , Qingliang Fan

The instrumental variable method is widely used in the health and social sciences for identification and estimation of causal effects in the presence of potentially unmeasured confounding. In order to improve efficiency, multiple…

Methodology · Statistics 2022-04-19 Baoluo Sun , Zhonghua Liu , Eric Tchetgen Tchetgen

The instrumental-variables (IV) setting is standard for partial identification of causal effects when unobserved confounding makes point identification impossible. Existing approaches face methodological bottlenecks: closed-form bound…

Machine Learning · Computer Science 2026-05-14 Vahid Balazadeh , Hamidreza Kamkari , Medha Barath , Ricardo Silva , Rahul G. Krishnan

In this paper, we propose a data-adaptive empirical likelihood-based approach for treatment effect estimation and inference, which overcomes the obstacle of the traditional empirical likelihood-based approaches in the high-dimensional…

Methodology · Statistics 2020-12-15 Wei Liang , Ying Yan

Stepped-wedge designs are increasingly used in randomized experiments to accommodate logistical and ethical constraints by staggering treatment roll-out over time. Despite their popularity, existing analytical methods largely rely on…

Methodology · Statistics 2026-02-12 Liangbo Lyu , Bingkai Wang

This paper develops an empirical balancing approach for the estimation of treatment effects under two-sided noncompliance using a binary conditionally independent instrumental variable. The method weighs both treatment and outcome…

Econometrics · Economics 2020-07-10 Phillip Heiler

Compactness in deep learning can be critical to a model's viability in low-resource applications, and a common approach to extreme model compression is quantization. We consider Iterative Product Quantization (iPQ) with Quant-Noise to be…

Machine Learning · Computer Science 2023-06-27 Tianhong Huang , Victor Agostinelli , Lizhong Chen

An increasing trend in the use of neural networks in control systems is being observed. The aim of this paper is to reveal that the straightforward application of learning neural network feedforward controllers with closed-loop data may…

Systems and Control · Electrical Eng. & Systems 2023-03-31 Johan Kon , Marcel Heertjes , Tom Oomen

Intravoxel incoherent motion (IVIM) is a diffusion-weighted magnetic resonance imaging (MRI) method that may be applied to the placenta to help diagnose abnormal pregnancies. IVIM requires prolonged scan times, followed by a model-based…

Image and Video Processing · Electrical Eng. & Systems 2025-11-04 Mbaimou Auxence Ngremmadji , Freddy Odille , Charline Bertholdt , Marine Beaumont , Olivier Morel , Bailiang Chen