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Topology inference for network systems (NSs) plays a crucial role in many areas. This paper advocates a causality-based method based on noisy observations from a single trajectory of a NS, which is represented by the state-space model with…

Signal Processing · Electrical Eng. & Systems 2022-08-26 Yushan Li , Jianping He , Cailian Chen , Xinping Guan

Structure-agnostic causal inference studies how well one can estimate a treatment effect given black-box machine learning estimates of nuisance functions (like the impact of confounders on treatment and outcomes). Here, we find that the…

Machine Learning · Statistics 2025-11-10 Jikai Jin , Lester Mackey , Vasilis Syrgkanis

Cluster randomized trials (CRTs) randomly assign an intervention to groups of individuals (e.g., clinics or communities) and measure outcomes on individuals in those groups. While offering many advantages, this experimental design…

Objective: Randomised controlled trials (RCTs) are widely considered as gold standard for assessing the effectiveness of new health interventions. When treatment non-compliance is present in RCTs, the treatment effect in the subgroup of…

Applications · Statistics 2025-03-25 Theodosios Papazoglou , Ed Waddingham , Alastair Young

The paper offers a novel unified approach to studying the accuracy of parameter estimation by the quasi likelihood method. Important features of the approach are: (1) The underlying model {is not assumed to be parametric}. (2) No conditions…

Statistics Theory · Mathematics 2009-03-11 V. Spokoiny

We present results on parameter estimation and non-parameter estimation of the linear partially observed Gaussian system of stochastic differential equations. We propose new one-step estimators which have the same asymptotic properties as…

Statistics Theory · Mathematics 2019-04-23 Yury A. Kutoyants , Li Zhou

We consider inference for M-estimators after model selection using a sparsity-inducing penalty. While existing methods for this task require bespoke inference procedures, we propose a simpler approach, which relies on two insights: (i)…

Methodology · Statistics 2026-01-21 Ronan Perry , Snigdha Panigrahi , Daniela Witten

This paper introduces a new fixed effects estimator for linear panel data models with clustered time patterns of unobserved heterogeneity. The method avoids non-convex and combinatorial optimization by combining a preliminary consistent…

Econometrics · Economics 2025-04-21 Martin Mugnier

We present a simple and effective algorithm for the problem of \emph{sparse robust linear regression}. In this problem, one would like to estimate a sparse vector $w^* \in \mathbb{R}^n$ from linear measurements corrupted by sparse noise…

Data Structures and Algorithms · Computer Science 2019-01-08 Sushrut Karmalkar , Eric Price

Principal stratification is a widely used framework for addressing post-randomization complications. After using principal stratification to define causal effects of interest, researchers are increasingly turning to finite mixture models to…

Methodology · Statistics 2019-08-20 Avi Feller , Evan Greif , Nhat Ho , Luke Miratrix , Natesh Pillai

Outcome-dependent sampling designs are extensively utilized in various scientific disciplines, including epidemiology, ecology, and economics, with retrospective case-control studies being specific examples of such designs. Additionally, if…

Methodology · Statistics 2023-09-22 Min Zeng , Zeyang Jia , Zijian Sui , Jinfeng Xu , Hong Zhang

This paper considers the penalized least squares estimator with arbitrary convex penalty. When the observation noise is Gaussian, we show that the prediction error is a subgaussian random variable concentrated around its median. We apply…

Statistics Theory · Mathematics 2016-09-22 Pierre C. Bellec , Alexandre B. Tsybakov

Debiased machine learning (DML) offers an attractive way to estimate treatment effects in observational settings, where identification of causal parameters requires a conditional independence or unconfoundedness assumption, since it allows…

Econometrics · Economics 2022-06-16 Victor Quintas-Martinez

We consider high-dimensional inference for potentially misspecified Cox proportional hazard models based on low dimensional results by Lin and Wei [1989]. A de-sparsified Lasso estimator is proposed based on the log partial likelihood…

Statistics Theory · Mathematics 2018-11-02 Shengchun Kong , Zhuqing Yu , Xianyang Zhang , Guang Cheng

Instrumental variable methods are widely used for inferring the causal effect in the presence of unmeasured confounders. Existing instrumental variable methods for nonlinear outcome models require stringent identifiability conditions. This…

Methodology · Statistics 2022-07-01 Sai Li , Zijian Guo

Group Relative Policy Optimization (GRPO) significantly enhances the reasoning performance of Large Language Models (LLMs). However, this success heavily relies on expensive external verifiers or human rules. Such dependency not only leads…

Computation and Language · Computer Science 2026-03-03 Nonghai Zhang , Weitao Ma , Zhanyu Ma , Jun Xu , Jiuchong Gao , Jinghua Hao , Renqing He , Jingwen Xu

This paper studies the challenging problem of estimating causal effects from observational data, in the presence of unobserved confounders. The two-stage least square (TSLS) method and its variants with a standard instrumental variable (IV)…

Machine Learning · Computer Science 2023-10-04 Debo Cheng , Ziqi Xu , Jiuyong Li , Lin Liu , Jixue Liu , Thuc Duy Le

This paper concerns robust inference on average treatment effects following model selection. In the selection on observables framework, we show how to construct confidence intervals based on a doubly-robust estimator that are robust to…

Statistics Theory · Mathematics 2018-04-13 Max H. Farrell

The method of instrumental variables provides a fundamental and practical tool for causal inference in many empirical studies where unmeasured confounding between the treatments and the outcome is present. Modern data such as the genetical…

Methodology · Statistics 2022-10-28 Ziang Niu , Yuwen Gu , Wei Li

We often seek to estimate the impact of an exposure naturally occurring or randomly assigned at the cluster-level. For example, the literature on neighborhood determinants of health continues to grow. Likewise, community randomized trials…

Methodology · Statistics 2021-07-08 Laura B. Balzer , Wenjing Zheng , Mark J. van der Laan , Maya L. Petersen