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The paper by Leiva et al. (2010) introduced a skewed version of the sinh-normal distribution, discussed some of its properties and characterized an extension of the Birnbaum-Saunders distribution associated with this distribution. In this…

Methodology · Statistics 2011-11-22 Artur J. Lemonte

Extreme events in complex physical systems, such as anomalous wind gusts, often cause significant material and human damage. Their modeling is crucial for risk assessment and understanding the underlying dynamics. In this work, we introduce…

Methodology · Statistics 2025-08-01 José I. C. Lima , Raydonal Ospina , Michelli Barros , Antônio M. S. Macêdo

Cook's [J. Roy. Statist. Soc. Ser. B 48 (1986) 133--169] local influence approach based on normal curvature is an important diagnostic tool for assessing local influence of minor perturbations to a statistical model. However, no rigorous…

Statistics Theory · Mathematics 2008-12-18 Hongtu Zhu , Joseph G. Ibrahim , Sikyum Lee , Heping Zhang

Influence diagnostics such as influence functions and approximate maximum influence perturbations are popular in machine learning and in AI domain applications. Influence diagnostics are powerful statistical tools to identify influential…

Machine Learning · Statistics 2023-09-21 Jillian Fisher , Lang Liu , Krishna Pillutla , Yejin Choi , Zaid Harchaoui

Predicting when an individual will adopt a new behavior is an important problem in application domains such as marketing and public health. This paper examines the perfor- mance of a wide variety of social network based measurements…

Social and Information Networks · Computer Science 2016-07-26 Nikhil Kumar , Ruocheng Guo , Ashkan Aleali , Paulo Shakarian

Data attribution methods trace model behavior back to its training dataset, offering an effective approach to better understand ''black-box'' neural networks. While prior research has established quantifiable links between model output and…

Machine Learning · Computer Science 2024-07-30 Tong Xie , Haoyu Li , Andrew Bai , Cho-Jui Hsieh

Ideally, any statistical inference should be robust to local influences. Although there are simple ways to check about leverage points in independent and linear problems, more complex models require more sophisticated methods.…

Applications · Statistics 2019-04-09 Ian M Danilevicz , Ricardo S Ehlers

This paper provides general matrix formulas for computing the score function, the (expected and observed) Fisher information and the $\Delta$ matrices (required for the assessment of local influence) for a quite general model which includes…

Methodology · Statistics 2021-09-17 Alexandre G. Patriota

Good models require good training data. For overparameterized deep models, the causal relationship between training data and model predictions is increasingly opaque and poorly understood. Influence analysis partially demystifies training's…

Machine Learning · Computer Science 2024-04-02 Zayd Hammoudeh , Daniel Lowd

Changepoint models enjoy a wide appeal in a variety of disciplines to model the heterogeneity of ordered data. Graphical influence diagnostics to characterize the influence of single observations on changepoint models are, however, lacking.…

Methodology · Statistics 2021-07-23 Ines Wilms , Rebecca Killick , David S. Matteson

Diffusion models have led to significant advancements in generative modelling. Yet their widespread adoption poses challenges regarding data attribution and interpretability. In this paper, we aim to help address such challenges in…

Machine Learning · Computer Science 2025-05-27 Bruno Mlodozeniec , Runa Eschenhagen , Juhan Bae , Alexander Immer , David Krueger , Richard Turner

Whilst influence functions for linear discriminant analysis (LDA) have been found for a single discriminant when dealing with two groups, until now these have not been derived in the setting of a general number of groups. In this paper we…

Statistics Theory · Mathematics 2019-10-01 Luke A. Prendergast , Jodie A. Smith

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

Influence functions estimate the effect of removing a training point on a model without the need to retrain. They are based on a first-order Taylor approximation that is guaranteed to be accurate for sufficiently small changes to the model,…

Machine Learning · Computer Science 2019-11-22 Pang Wei Koh , Kai-Siang Ang , Hubert H. K. Teo , Percy Liang

Customer Satisfaction is the most important factors in the industry irrespective of domain. Key Driver Analysis is a common practice in data science to help the business to evaluate the same. Understanding key features, which influence the…

Machine Learning · Statistics 2018-05-29 Kumarjit Pathak , Jitin Kapila , Aasheesh Barvey

Social influence, sometimes referred to as spillover or contagion, have been extensively studied in various empirical social network research. However, there are various estimation challenges in identifying social influence effects, as they…

Social and Information Networks · Computer Science 2019-03-15 Ran Xu

How can we explain the predictions of a black-box model? In this paper, we use influence functions -- a classic technique from robust statistics -- to trace a model's prediction through the learning algorithm and back to its training data,…

Machine Learning · Statistics 2021-01-01 Pang Wei Koh , Percy Liang

Estimating causal effects under interference, where the stable unit treatment value assumption is violated, is critical in fields such as regional and public economics. Much of the existing research on causal inference under interference…

Methodology · Statistics 2026-02-03 Akihiro Sato , Shonosuke Sugasawa

Understanding the influence of a training instance on a neural network model leads to improving interpretability. However, it is difficult and inefficient to evaluate the influence, which shows how a model's prediction would be changed if a…

Machine Learning · Computer Science 2021-11-22 Sosuke Kobayashi , Sho Yokoi , Jun Suzuki , Kentaro Inui

As machine learning is increasingly deployed in the real world, it is paramount that we develop the tools necessary to analyze the decision-making of the models we train and deploy to end-users. Recently, researchers have shown that…

Machine Learning · Computer Science 2022-05-05 Andrew Silva , Rohit Chopra , Matthew Gombolay
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