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This paper aims to provide a tutorial for upper level undergraduate and graduate students in statistics, biostatistics and epidemiology on deriving influence functions for non-parametric and semi-parametric models. The author will build on…

Statistics Theory · Mathematics 2019-03-12 Jonathan Levy

Influence estimation analyzes how changes to the training data can lead to different model predictions; this analysis can help us better understand these predictions, the models making those predictions, and the data sets they're trained…

Machine Learning · Computer Science 2023-06-01 Jonathan Brophy , Zayd Hammoudeh , Daniel Lowd

Interpersonal influence estimation from empirical data is a central challenge in the study of social structures and dynamics. Opinion dynamics theory is a young interdisciplinary science that studies opinion formation in social networks and…

Systems and Control · Electrical Eng. & Systems 2020-07-27 Chiara Ravazzi , Fabrizio Dabbene , Constantino Lagoa , Anton V. Proskurnikov

As an effective approach to quantify how training samples influence test sample, data attribution is crucial for understanding data and model and further enhance the transparency of machine learning models. We find that prevailing data…

Machine Learning · Computer Science 2025-08-08 Linxiao Yang , Xinyu Gu , Liang Sun

Pretrained deep models hold their learnt knowledge in the form of model parameters. These parameters act as "memory" for the trained models and help them generalize well on unseen data. However, in absence of training data, the utility of a…

Computer Vision and Pattern Recognition · Computer Science 2021-08-31 Gaurav Kumar Nayak , Konda Reddy Mopuri , Saksham Jain , Anirban Chakraborty

Understanding the effect of a feature vector $x \in \mathbb{R}^d$ on the response value (label) $y \in \mathbb{R}$ is the cornerstone of many statistical learning problems. Ideally, it is desired to understand how a set of collected…

Machine Learning · Computer Science 2023-06-22 Mohammad Mehrabi , Ryan A. Rossi

The interpretability of prediction mechanisms with respect to the underlying prediction problem is often unclear. While several studies have focused on developing prediction models with meaningful parameters, the causal relationships…

Machine Learning · Statistics 2017-09-05 Patrick Blöbaum , Shohei Shimizu

Targeted training-set attacks inject malicious instances into the training set to cause a trained model to mislabel one or more specific test instances. This work proposes the task of target identification, which determines whether a…

Machine Learning · Computer Science 2022-09-07 Zayd Hammoudeh , Daniel Lowd

Several instance-based explainability methods for finding influential training examples for test-time decisions have been proposed recently, including Influence Functions, TraceIn, Representer Point Selection, Grad-Dot, and Grad-Cos.…

Machine Learning · Computer Science 2021-11-09 Karthikeyan K , Anders Søgaard

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

Influence functions (IFs) elucidate how training data changes model behavior. However, the increasing size and non-convexity in large-scale models make IFs inaccurate. We suspect that the fragility comes from the first-order approximation…

Machine Learning · Computer Science 2024-05-07 Hyeonsu Lyu , Jonggyu Jang , Sehyun Ryu , Hyun Jong Yang

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

Despite the major advances taken in causal modeling, causality is still an unfamiliar topic for many statisticians. In this paper, it is demonstrated from the beginning to the end how causal effects can be estimated from observational data…

Methodology · Statistics 2014-07-03 Juha Karvanen

This work presents a swift method to assess the efficacy of particular types of instruction-tuning data, utilizing just a handful of probe examples and eliminating the need for model retraining. This method employs the idea of…

Computation and Language · Computer Science 2025-02-20 Minlong Peng , Jingyi Yang , Zhongjun He , Hua Wu

Machine learning algorithms, when applied to sensitive data, pose a distinct threat to privacy. A growing body of prior work demonstrates that models produced by these algorithms may leak specific private information in the training data to…

Cryptography and Security · Computer Science 2018-05-08 Samuel Yeom , Irene Giacomelli , Matt Fredrikson , Somesh Jha

The analysis of practical probabilistic models on the computer demands a convenient representation for the available knowledge and an efficient algorithm to perform inference. An appealing representation is the influence diagram, a network…

Artificial Intelligence · Computer Science 2013-04-15 Ross D. Shachter

This paper investigates causal influences between agents linked by a social graph and interacting over time. In particular, the work examines the dynamics of social learning models and distributed decision-making protocols, and derives…

Social and Information Networks · Computer Science 2026-05-19 Mert Kayaalp , Ali H. Sayed

As input data distributions evolve, the predictive performance of machine learning models tends to deteriorate. In practice, new input data tend to come without target labels. Then, state-of-the-art techniques model input data distributions…

Machine Learning · Computer Science 2023-09-08 Carlos Mougan , Klaus Broelemann , David Masip , Gjergji Kasneci , Thanassis Thiropanis , Steffen Staab

Existing work on understanding deep learning often employs measures that compress all data-dependent information into a few numbers. In this work, we adopt a perspective based on the role of individual examples. We introduce a measure of…

Machine Learning · Computer Science 2021-06-21 Robert J. N. Baldock , Hartmut Maennel , Behnam Neyshabur

A business process model represents the expected behavior of a set of process instances (cases). The process instances may be executed in parallel and may affect each other through data or resources. In particular, changes in values of data…

Software Engineering · Computer Science 2024-01-31 Yotam Evron , Arava Tsoury , Anna Zamansky , Iris Reinhartz-Berger , Pnina Soffer