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Covariance matrix estimation, a classical statistical topic, poses significant challenges when the sample size is comparable to or smaller than the number of features. In this paper, we frame covariance matrix estimation as a compound…

统计方法学 · 统计学 2025-03-04 Huqin Xin , Sihai Dave Zhao

The assumption that data samples are independent and identically distributed (iid) is standard in many areas of statistics and machine learning. Nevertheless, in some settings, such as social networks, infectious disease modeling, and…

统计方法学 · 统计学 2019-02-06 Eli Sherman , Ilya Shpitser

The Path-Dependent Neural Jump Ordinary Differential Equation (PD-NJ-ODE) is a model for predicting continuous-time stochastic processes with irregular and incomplete observations. In particular, the method learns optimal forecasts given…

机器学习 · 统计学 2024-02-06 William Andersson , Jakob Heiss , Florian Krach , Josef Teichmann

Asymptotically linear estimators in semiparametric models are usually studied through a von Mises expansion in which first-order inference is based on the influence-function variance. This reduction is valid only when the second-order…

统计方法学 · 统计学 2026-05-26 Lin Li

This paper establishes (set) identification results in a dynamic dyadic network formation model with time-varying observed covariates, lagged local network statistics, and unobserved heterogeneity in the form of fixed effects. Our framework…

计量经济学 · 经济学 2026-04-10 Wayne Yuan Gao , Yi Niu

Reciprocity in dyadic interactions is common and a topic of interest across disciplines. In some cases, reciprocity may be expected to be more or less prevalent among certain kinds of dyads. In response to interest among researchers in…

统计方法学 · 统计学 2020-05-21 Jeremy Koster

We study adaptive estimation and inference in ill-posed linear inverse problems defined by conditional moment restrictions. Existing regularized estimators such as Regularized DeepIV (RDIV) require prior knowledge of the smoothness of the…

机器学习 · 统计学 2026-03-03 Jiyuan Tan , Vasilis Syrgkanis

Dependency analysis is vital to several applications in computer science. It lies at the essence of secure information flow analysis, binding-time analysis, etc. Various calculi have been proposed in the literature for analysing individual…

编程语言 · 计算机科学 2022-09-15 Pritam Choudhury

This paper develops computationally feasible methods for estimating random effects models in the context of regression modelling of multiple independent time series of discrete valued counts in which there is serial dependence. Given…

统计方法学 · 统计学 2016-06-10 W. T. M. Dunsmuir , C. McKendry , R. T. Dean

We consider the problem of learning causal directed acyclic graphs from an observational joint distribution. One can use these graphs to predict the outcome of interventional experiments, from which data are often not available. We show…

机器学习 · 统计学 2016-08-18 Jonas Peters , Joris Mooij , Dominik Janzing , Bernhard Schölkopf

We study how macroscopic observational constraints restrict admissible microscopic explanatory structures when no intrinsic order or dynamics is assumed a priori. Starting from an unordered collection of measurement outcomes, we formulate…

统计力学 · 物理学 2026-02-09 Akihisa Ichiki

The resilience of a complex interconnected system concerns the size of the macroscopic functioning node clusters after external perturbations based on a random or designed scheme. For a representation of the interconnected systems with…

物理与社会 · 物理学 2017-06-27 Jin-Hua Zhao

This paper proves that robustness implies generalization via data-dependent generalization bounds. As a result, robustness and generalization are shown to be connected closely in a data-dependent manner. Our bounds improve previous bounds…

机器学习 · 计算机科学 2022-08-04 Kenji Kawaguchi , Zhun Deng , Kyle Luh , Jiaoyang Huang

We develop a design-based framework for causal inference that accommodates random potential outcomes without introducing outcome models, thereby extending the classical Neyman--Rubin paradigm in which outcomes are treated as fixed. By…

统计方法学 · 统计学 2026-01-14 Yukai Yang

In recommender systems, users always choose the favorite items to rate, which leads to data missing not at random and poses a great challenge for unbiased evaluation and learning of prediction models. Currently, the doubly robust (DR)…

机器学习 · 计算机科学 2023-08-25 Haoxuan Li , Chunyuan Zheng , Peng Wu

We consider the problem of inference after model selection under weak assumptions in the time series setting. Even when the data are not independent, we show that sample splitting remains asymptotically valid as long as the process…

统计理论 · 数学 2019-02-27 Robert Lunde

Establishing causal relations between random variables from observational data is perhaps the most important challenge in today's \blue{science}. In remote sensing and geosciences this is of special relevance to better understand the…

统计方法学 · 统计学 2020-12-10 Adrián Pérez-Suay , Gustau Camps-Valls

Covariate-shift generalization, a typical case in out-of-distribution (OOD) generalization, requires a good performance on the unknown test distribution, which varies from the accessible training distribution in the form of covariate shift.…

机器学习 · 计算机科学 2023-10-18 Renzhe Xu , Xingxuan Zhang , Zheyan Shen , Tong Zhang , Peng Cui

Causal discovery from observational data is a fundamental task in artificial intelligence, with far-reaching implications for decision-making, predictions, and interventions. Despite significant advances, existing methods can be broadly…

机器学习 · 计算机科学 2026-02-06 Jincheng Zhou , Mengbo Wang , Anqi He , Yumeng Zhou , Hessam Olya , Murat Kocaoglu , Bruno Ribeiro

Clustered sampling is prevalent in empirical regression discontinuity (RD) designs, but it has not received much attention in the theoretical literature. In this paper, we introduce a general model-based framework for such settings and…

计量经济学 · 经济学 2026-03-20 Claudia Noack , Tomasz Olma , Christoph Rothe