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We extend the continuity-based framework to Regression Discontinuity Designs (RDDs) to identify and estimate causal effects under interference when units are connected through a network. Assignment to an "effective treatment," combining the…

统计方法学 · 统计学 2025-11-20 Elena Dal Torrione , Tiziano Arduini , Laura Forastiere

Estimating causal effects from observational network data is a significant but challenging problem. Existing works in causal inference for observational network data lack an analysis of the generalization bound, which can theoretically…

机器学习 · 计算机科学 2023-08-09 Ruichu Cai , Zeqin Yang , Weilin Chen , Yuguang Yan , Zhifeng Hao

Prediction algorithms typically assume the training data are independent samples, but in many modern applications samples come from individuals connected by a network. For example, in adolescent health studies of risk-taking behaviors,…

统计方法学 · 统计学 2018-06-26 Tianxi Li , Elizaveta Levina , Ji Zhu

Although neural networks are powerful function approximators, the underlying modelling assumptions ultimately define the likelihood and thus the hypothesis class they are parameterizing. In classification, these assumptions are minimal as…

Hierarchical data with multiple observations per group is ubiquitous in empirical sciences and is often analyzed using mixed-effects regression. In such models, Bayesian inference gives an estimate of uncertainty but is analytically…

机器学习 · 计算机科学 2026-02-05 Alex Kipnis , Marcel Binz , Eric Schulz

A method of `network filtering' has been proposed recently to detect the effects of certain external perturbations on the interacting members in a network. However, with large networks, the goal of detection seems a priori difficult to…

统计方法学 · 统计学 2010-01-28 Shu Yang , Eric D. Kolaczyk

Prior-data fitted networks (PFNs) were recently proposed as a new paradigm for machine learning. Instead of training the network to an observed training set, a fixed model is pre-trained offline on small, simulated training sets from a…

机器学习 · 统计学 2023-05-19 Thomas Nagler

Performative prediction is a framework for learning models that influence the data they intend to predict. We focus on finding classifiers that are performatively stable, i.e. optimal for the data distribution they induce. Standard…

机器学习 · 计算机科学 2025-02-07 Mehrnaz Mofakhami , Ioannis Mitliagkas , Gauthier Gidel

I study peer effects that arise from irreversible decisions in the absence of a standard social equilibrium. I model a latent sequence of decisions in continuous time and obtain a closed-form expression for the likelihood, which allows to…

计量经济学 · 经济学 2026-02-18 Vincent Starck

Knowing the structure of an offline social network facilitates a variety of analyses, including studying the rate at which infectious diseases may spread and identifying a subset of actors to immunize in order to reduce, as much as…

社会与信息网络 · 计算机科学 2017-06-27 Naghmeh Momeni , Michael Rabbat

The functional linear model is a popular tool to investigate the relationship between a scalar/functional response variable and a scalar/functional covariate. We generalize this model to a functional linear mixed-effects model when repeated…

统计方法学 · 统计学 2016-01-07 Baisen Liu , Jiguo Cao

A key functionality of emerging connected autonomous systems such as smart cities, smart transportation systems, and the industrial Internet-of-Things, is the ability to process and learn from data collected at different physical locations.…

机器学习 · 计算机科学 2021-03-09 Konstantinos Gatsis

We use fixed point theory to analyze nonnegative neural networks, which we define as neural networks that map nonnegative vectors to nonnegative vectors. We first show that nonnegative neural networks with nonnegative weights and biases can…

机器学习 · 统计学 2024-06-18 Tomasz J. Piotrowski , Renato L. G. Cavalcante , Mateusz Gabor

Causal inference has traditionally focused on interventions at the unit level. In many applications, however, the central question concerns the causal effects of connections between units, such as transportation links, social relationships,…

统计方法学 · 统计学 2026-01-13 Shuli Chen , Jie Hu , Zhichao Jiang

The success of modern deep learning is attributed to two key elements: huge amounts of training data and large model sizes. Where a vast amount of data allows the model to learn more features, the large model architecture boosts the…

机器学习 · 计算机科学 2024-10-08 Muhammad Asif Khan , Ridha Hamila , Hamid Menouar

A regression problem with dependent data is considered. Regularity assumptions on the dependency of the data are introduced, and it is shown that under suitable structural assumptions on the regression function a deep recurrent neural…

机器学习 · 统计学 2020-11-03 Michael Kohler , Adam Krzyzak

We consider problems in which a system receives external \emph{perturbations} from time to time. For instance, the system can be a train network in which particular lines are repeatedly disrupted without warning, having an effect on…

机器学习 · 计算机科学 2019-08-21 Nicolo Colombo , Ricardo Silva , Soong M Kang , Arthur Gretton

We study regression discontinuity designs in which many predetermined covariates, possibly much more than the number of observations, can be used to increase the precision of treatment effect estimates. We consider a two-step estimator…

计量经济学 · 经济学 2022-05-06 Alexander Kreiß , Christoph Rothe

This paper proposes a framework that incorporates the two-way fixed effects model as a special case to conduct causal inference with a continuous treatment. Treatments are allowed to change over time and potential outcomes are dependent on…

统计方法学 · 统计学 2025-07-01 Zhiguo Xiao , Peikai Wu

Sampled network data are widely used in empirical research because collecting complete network information is costly. However, empirical analyses based on sampled networks may lead to biased estimators. We propose a nonparametric imputation…

计量经济学 · 经济学 2026-05-12 Ge Sun , Weisheng Zhang