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Influence functions serve as crucial tools for assessing sample influence in model interpretation, subset training set selection, noisy label detection, and more. By employing the first-order Taylor extension, influence functions can…

Machine Learning · Computer Science 2026-03-27 Ziao Yang , Han Yue , Jian Chen , Hongfu Liu

This work focuses on the issue of variable selection in functional regression. Unlike most work in this framework, our approach does not select isolated points in the definition domain of the predictors, nor does it rely on the expansion of…

Statistics Theory · Mathematics 2018-03-05 Victor Picheny , Rémi Servien , Nathalie Villa-Vialaneix

While regression models capture the relationship between predictors and the response variable, they often lack intuitive accompanying methods to understand the influence of predictors on the outcome. To address this, we introduce an…

Methodology · Statistics 2026-02-06 Jihao You , Dan Tulpan , Jiaojiao Diao , Jennifer L. Ellis

The goal of data attribution is to trace the model's predictions through the learning algorithm and back to its training data. thereby identifying the most influential training samples and understanding how the model's behavior leads to…

Machine Learning · Computer Science 2025-08-12 Hongbo Zhu , Angelo Cangelosi

Influence functions (IFs) are a powerful tool for detecting anomalous examples in large scale datasets. However, they are unstable when applied to deep networks. In this paper, we provide an explanation for the instability of IFs and…

Computation and Language · Computer Science 2023-05-03 Thang Nguyen-Duc , Hoang Thanh-Tung , Quan Hung Tran , Dang Huu-Tien , Hieu Ngoc Nguyen , Anh T. V. Dau , Nghi D. Q. Bui

Training data attribution (TDA) methods offer to trace a model's prediction on any given example back to specific influential training examples. Existing approaches do so by assigning a scalar influence score to each training example, under…

Machine Learning · Computer Science 2023-03-15 Kelvin Guu , Albert Webson , Ellie Pavlick , Lucas Dixon , Ian Tenney , Tolga Bolukbasi

Influence Functions are a standard tool for attributing predictions to training data in a principled manner and are widely used in applications such as data valuation and fairness. In this work, we present realistic incentives to manipulate…

Machine Learning · Computer Science 2024-10-08 Chhavi Yadav , Ruihan Wu , Kamalika Chaudhuri

Previous work has demonstrated the feasibility and value of conducting distributed regression analysis (DRA), a privacy-protecting analytic method that performs multivariable-adjusted regression analysis with only summary-level information…

Computation · Statistics 2018-08-08 Qoua L. Her , Yury Vilk , Jessica Young , Zilu Zhang , Jessica M. Malenfant , Sarah Malek , Sengwee Toh

In this paper, we propose a new variant of Linear Discriminant Analysis (LDA) to solve multi-label classification tasks. The proposed method is based on a probabilistic model for defining the weights of individual samples in a weighted…

Machine Learning · Computer Science 2020-04-10 Lei Xu , Jenni Raitoharju , Alexandros Iosifidis , Moncef Gabbouj

Model-based controllers learned from data have the biases and noise of their training trajectories, making it important to know which trajectories help or hurt closed-loop performance. Influence functions, widely used in machine learning…

Systems and Control · Electrical Eng. & Systems 2026-03-24 Jiachen Li , Shihao Li , Soovadeep Bakshi , Jiamin Xu , Dongmei Chen

We propose and analyze estimators for statistical functionals of one or more distributions under nonparametric assumptions. Our estimators are based on the theory of influence functions, which appear in the semiparametric statistics…

Functional linear discriminant analysis (FLDA) is a powerful tool that extends LDA-mediated multiclass classification and dimension reduction to univariate time-series functions. However, in the age of large multivariate and incomplete…

Machine Learning · Computer Science 2026-04-23 Rahul Bordoloi , Clémence Réda , Orell Trautmann , Saptarshi Bej , Olaf Wolkenhauer

How does the training data affect a model's behavior? This is the question we seek to answer with data attribution. The leading practical approaches to data attribution are based on influence functions (IF). IFs utilize a first-order Taylor…

Machine Learning · Computer Science 2025-09-11 Ittai Rubinstein , Samuel B. Hopkins

We introduce Deep Linear Discriminant Analysis (DeepLDA) which learns linearly separable latent representations in an end-to-end fashion. Classic LDA extracts features which preserve class separability and is used for dimensionality…

Machine Learning · Computer Science 2016-02-18 Matthias Dorfer , Rainer Kelz , Gerhard Widmer

Many language tasks (e.g., Named Entity Recognition, Part-of-Speech tagging, and Semantic Role Labeling) are naturally framed as sequence tagging problems. However, there has been comparatively little work on interpretability methods for…

Computation and Language · Computer Science 2022-10-26 Sarthak Jain , Varun Manjunatha , Byron C. Wallace , Ani Nenkova

Influence diagnosis is important since presence of influential observations could lead to distorted analysis and misleading interpretations. For high-dimensional data, it is particularly so, as the increased dimensionality and complexity…

Statistics Theory · Mathematics 2013-11-27 Junlong Zhao , Chenlei Leng , Lexin Li , Hansheng Wang

Influence functions are important for quantifying the impact of individual training data points on a model's predictions. Although extensive research has been conducted on influence functions in traditional machine learning models, their…

Computation and Language · Computer Science 2024-12-23 Zhe Li , Wei Zhao , Yige Li , Jun Sun

Learning generalized models from biased data is an important undertaking toward fairness in deep learning. To address this issue, recent studies attempt to identify and leverage bias-conflicting samples free from spurious correlations…

Machine Learning · Computer Science 2024-11-04 Yeonsung Jung , Jaeyun Song , June Yong Yang , Jin-Hwa Kim , Sung-Yub Kim , Eunho Yang

Classification methods that leverage the strengths of data from multiple sources (multi-view data) simultaneously have enormous potential to yield more powerful findings than two step methods: association followed by classification. We…

Methodology · Statistics 2020-01-16 Sandra E. Safo , Eun Jeong Min , Lillian Haine

By deriving influence functions related to multiple-set linear canonical analysis (MSLCA) we show that the classical version of this analysis, based on empirical covariance operators, is not robust. Then, we introduce a robust version of…

Statistics Theory · Mathematics 2018-11-08 Ulrich Djemby Bivigou , Guy Martial Nkiet