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In this paper, we introduce and prove asymptotic normality for a new nonparametric estimator of continuous treatment effects. Specifically, we estimate the average dose-response function - the expected value of an outcome of interest at a…

Econometrics · Economics 2021-04-22 Sylvia Klosin

Distribution matching can be used to learn invariant representations with applications in fairness and robustness. Most prior works resort to adversarial matching methods but the resulting minimax problems are unstable and challenging to…

Machine Learning · Computer Science 2024-06-05 Ziyu Gong , Ben Usman , Han Zhao , David I. Inouye

A key assumption in the theory of nonlinear adaptive control is that the uncertainty of the system can be expressed in the linear span of a set of known basis functions. While this assumption leads to efficient algorithms, it limits…

Optimization and Control · Mathematics 2022-08-26 Nicholas M. Boffi , Stephen Tu , Jean-Jacques E. Slotine

Nonparametric empirical Bayes methods provide a flexible and attractive approach to high-dimensional data analysis. One particularly elegant empirical Bayes methodology, involving the Kiefer-Wolfowitz nonparametric maximum likelihood…

Methodology · Statistics 2014-07-11 Lee H. Dicker , Sihai D. Zhao

This article proposes different tests for treatment effect heterogeneity when the outcome of interest, typically a duration variable, may be right-censored. The proposed tests study whether a policy 1) has zero distributional (average)…

Methodology · Statistics 2020-02-19 Pedro H. C. Sant'Anna

This paper considers the dynamic response of a single degree of freedom system with nonlinear stiffness and nonlinear damping that is subjected to both resonant direct excitation and resonant parametric excitation, with a general phase…

Mesoscale and Nanoscale Physics · Physics 2020-11-03 Donghao Li , Steven W. Shaw

The primary emphasis of this work on kinetics is to illustrate the a posteriori approach to applications, where focus on data leads to novel outcomes, rather than the a priori tendencies of applied analysis which imposes constructs on the…

General Physics · Physics 2011-01-27 Christopher G. Jesudason

A wide array of graphical models can be parametrised to have atomic probabilities represented by monomial functions. Such monomial structure has proven very useful when studying robustness under the assumption of a multilinear model where…

Statistics Theory · Mathematics 2019-01-09 Manuele Leonelli

We consider nonparametric measurement error density deconvolution subject to heteroscedastic measurement errors as well as symmetry about zero and shape constraints, in particular unimodality. The problem is motivated by applications where…

Methodology · Statistics 2020-02-19 Ya Su , Anirban Bhattacharya , Yan Zhang , Nilanjan Chatterjee , Raymond J. Carroll

This paper proposes a robust regret control framework in which the performance baseline adapts to the realization of system uncertainty. The plant is modeled as a discrete-time, uncertain linear time-invariant system with real-parametric…

Optimization and Control · Mathematics 2025-10-27 Jietian Liu , Peter Seiler

The challenge in controlling stochastic systems in which low-probability events can set the system on catastrophic trajectories is to develop a robust ability to respond to such events without significantly compromising the optimality of…

Populations and Evolution · Quantitative Biology 2020-10-28 Dalit Engelhardt

We study in this paper the problem of adaptive trajectory tracking control for a class of nonlinear systems with parametric uncertainties. We propose to use a modular approach, where we first design a robust nonlinear state feedback which…

Systems and Control · Computer Science 2015-09-28 Mouhacine Benosman , Amir-massoud Farahmand , Meng Xia

Effective disease treatment often requires precise control of the release of the active pharmaceutical ingredient (API). In this work, we present a computational inverse design approach to determine the optimal drug composition that yields…

Computational Engineering, Finance, and Science · Computer Science 2025-07-23 Rabia Altunay , Jarkko Suuronen , Eero Immonen , Lassi Roininen , Jari Hämäläinen

In estimating the causal effect of a continuous exposure or treatment, it is important to control for all confounding factors. However, most existing methods require parametric specification for how control variables influence the outcome…

Applications · Statistics 2020-07-21 Spencer Woody , Carlos M. Carvalho , P. Richard Hahn , Jared S. Murray

In partial differential equations-based (PDE-based) inverse problems with many measurements, many large-scale discretized PDEs must be solved for each evaluation of the misfit or objective function. In the nonlinear case, evaluating the…

Numerical Analysis · Mathematics 2018-07-18 Selin Aslan , Eric de Sturler , Misha E. Kilmer

There is abundant interest in assessing the joint effects of multiple exposures on human health. This is often referred to as the mixtures problem in environmental epidemiology and toxicology. Classically, studies have examined the adverse…

Applications · Statistics 2024-05-31 Shounak Chattopadhyay , Stephanie M. Engel , David Dunson

We explore semi-dilute and concentrated oligomers and polymers in a broad range of polymerization indices N ranging from 1 to a 100 and in a range of monomer number densities $\phi$ from 0.1 to 0.8 via molecular dynamics simulations and…

Soft Condensed Matter · Physics 2020-12-01 Ashod Khederlarian , Carmen Almasri , Leonid Klushin

This study proposes a method for designing stabilizing suboptimal controllers for nonlinear stochastic systems. These systems include time-invariant stochastic parameters that represent uncertainty of dynamics, posing two key difficulties…

Optimization and Control · Mathematics 2025-01-22 Yuji Ito , Kenji Fujimoto

We consider the efficient estimation of the semiparametric additive transformation model with current status data. A wide range of survival models and econometric models can be incorporated into this general transformation framework. We…

Statistics Theory · Mathematics 2011-05-09 Guang Cheng , Xiao Wang

Logistic regression with unknown sizes has many important applications in biological and medical sciences. All models about this problem in the literature are parametric ones. A semiparametric regression model is proposed. This model…

Statistics Theory · Mathematics 2007-06-13 Wei Zhang