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Power law or generalized polynomial regressions with unknown real-valued exponents and coefficients, and weakly dependent errors, are considered for observations over time, space or space--time. Consistency and asymptotic normality of…

统计理论 · 数学 2012-05-14 Peter M. Robinson

Nonlinear mixed effects models have become a standard platform for analysis when data is in the form of continuous and repeated measurements of subjects from a population of interest, while temporal profiles of subjects commonly follow a…

统计方法学 · 统计学 2022-03-04 Se Yoon Lee

The Influence Function (IF) is a widely used technique for assessing the impact of individual training samples on model predictions. However, existing IF methods often fail to provide reliable influence estimates in deep neural networks,…

机器学习 · 计算机科学 2025-12-02 Xichen Ye , Yifan Wu , Weizhong Zhang , Cheng Jin , Yifan Chen

In this paper, a generalization for the Birnbaum Saunders distribution, which has been applied to the modelling of fatigue failure times and reliability studies, is considered. The maximum likelihood estimators and statistical inference for…

统计理论 · 数学 2021-09-06 Beenu Thomas , Chacko V M

The focus of this paper is modeling what we call a Social Radar, i.e. a method to estimate the relative influence between social agents, by sampling their opinions and as they evolve, after injecting in the network stubborn agents. The…

社会与信息网络 · 计算机科学 2016-11-17 Hoi-To Wai , Anna Scaglione , Amir Leshem

We develop point-identification for the local average treatment effect when the binary treatment contains a measurement error. The standard instrumental variable estimator is inconsistent for the parameter since the measurement error is…

计量经济学 · 经济学 2018-04-11 Takahide Yanagi

Linear mixed-effects models are widely used in analyzing repeated measures data, including clustered and longitudinal data, where inferences of both fixed effects and variance components are of importance. Unlike the fixed effect inference…

统计方法学 · 统计学 2022-08-31 J. Zhang , W. Guo , J. S. Carpenter , Andrew Leroux , K. R. Merikangas , N. G. Martin , I. B. Hickie , H. Shou , H. Li

Explainability methods have progressed rapidly, but global explanations for time-series models remain underdeveloped, with most approaches focusing on local, instance-level attributions. We introduce INSIGHTS, a model-agnostic, user-centric…

机器学习 · 计算机科学 2026-05-20 Bar Eini Porat , Rom Gutman , Uri Shalit , Ofra Amir

Influence functions provide crucial insights into model training, but existing methods suffer from large computational costs and limited generalization. Particularly, recent works have proposed various metrics and algorithms to calculate…

机器学习 · 计算机科学 2025-10-31 Ishika Agarwal , Dilek Hakkani-Tür

When a controller is designed from an identified model, its performance ultimately depends on the trajectories used for identification, but pinpointing which ones help or hurt remains an open problem. We bring influence functions, a data…

系统与控制 · 电气工程与系统科学 2026-03-25 Jiachen Li , Shihao Li , Soovadeep Bakshi , Jiamin Xu , Dongmei Chen

In this work, we focus on the use of influence functions to identify relevant training examples that one might hope "explain" the predictions of a machine learning model. One shortcoming of influence functions is that the training examples…

机器学习 · 计算机科学 2020-03-27 Elnaz Barshan , Marc-Etienne Brunet , Gintare Karolina Dziugaite

Standard diffusion models are flexible estimators of complex distributions, but they do not encode causal structures and therefore do not by themselves support causal analysis. We propose a causality-encoded diffusion framework that…

统计方法学 · 统计学 2026-04-24 Li Chen , Xiaotong Shen , Wei Pan

The detection of serial dependence in binary or binomial valued time series is difficult using standard time series methods, particularly when there are regression effects to be modelled. In this paper we derive score-type tests for…

统计理论 · 数学 2016-06-06 W. T. M. Dunsmuir , J. Y. He

Empirical work often uses treatment assigned following geographic boundaries. When the effects of treatment cross over borders, classical difference-in-differences estimation produces biased estimates for the average treatment effect. In…

计量经济学 · 经济学 2023-06-13 Kyle Butts

How social networks influence human behavior has been an interesting topic in applied research. Existing methods often utilized scale-level behavioral data to estimate the influence of a social network on human behavior. This study proposes…

社会与信息网络 · 计算机科学 2025-01-08 Jina Park , Ick Hoon Jin , Minjeong Jeon

Reliability sensitivity analysis is concerned with measuring the influence of a system's uncertain input parameters on its probability of failure. Statistically dependent inputs present a challenge in both computing and interpreting these…

应用统计 · 统计学 2023-06-21 Max Ehre , Iason Papaioannou , Daniel Straub

A dataset has been classified by some unknown classifier into two types of points. What were the most important factors in determining the classification outcome? In this work, we employ an axiomatic approach in order to uniquely…

计算机科学与博弈论 · 计算机科学 2015-05-04 Amit Datta , Anupam Datta , Ariel D. Procaccia , Yair Zick

Nested error regression models are useful tools for analysis of grouped data, especially in the case of small area estimation. This paper suggests a nested error regression model using uncertain random effects in which the random effect in…

统计方法学 · 统计学 2017-02-28 Shonosuke Sugasawa , Tatsuya Kubokawa

Large-scale black-box models have become ubiquitous across numerous applications. Understanding the influence of individual training data sources on predictions made by these models is crucial for improving their trustworthiness. Current…

机器学习 · 计算机科学 2024-06-21 Myeongseob Ko , Feiyang Kang , Weiyan Shi , Ming Jin , Zhou Yu , Ruoxi Jia

This article is a presentation of specific recent results describing scaling limits of individual-based models. Thanks to them, we wish to relate the time-scales typical of demographic dynamics and natural selection to the parameters of the…

概率论 · 数学 2023-08-01 Aurélien Velleret
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