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Changes in input distribution can induce shifts in the average predictions of machine learning models. Such prediction shifts may impact downstream business outcomes (e.g. a bank's loan approval rate), so understanding their causes can be…

Machine Learning · Computer Science 2026-04-14 Tom Bewley , Salim I. Amoukou , Emanuele Albini , Saumitra Mishra , Manuela Veloso

With origins in game theory, probabilistic values like Shapley values, Banzhaf values, and semi-values have emerged as a central tool in explainable AI. They are used for feature attribution, data attribution, data valuation, and more.…

Machine Learning · Computer Science 2026-01-14 R. Teal Witter , Yurong Liu , Christopher Musco

Shapley values are widely used to explain black-box models, but they are costly to calculate because they require many model evaluations. We introduce FastSHAP, a method for estimating Shapley values in a single forward pass using a learned…

Machine Learning · Statistics 2022-03-24 Neil Jethani , Mukund Sudarshan , Ian Covert , Su-In Lee , Rajesh Ranganath

The Shapley value is a ubiquitous framework for attribution in machine learning, encompassing feature importance, data valuation, and causal inference. However, its exact computation is generally intractable, necessitating efficient…

Machine Learning · Computer Science 2026-02-03 Fabian Fumagalli , Landon Butler , Justin Singh Kang , Kannan Ramchandran , R. Teal Witter

We introduce xplainfi, an R package built on top of the mlr3 ecosystem for global, loss-based feature importance methods for machine learning models. Various feature importance methods exist in R, but significant gaps remain, particularly…

Machine Learning · Computer Science 2026-03-17 Lukas Burk , Fiona Katharina Ewald , Giuseppe Casalicchio , Marvin N. Wright , Bernd Bischl

The attribution problem, that is the problem of attributing a model's prediction to its base features, is well-studied. We extend the notion of attribution to also apply to feature interactions. The Shapley value is a commonly used method…

Computer Science and Game Theory · Computer Science 2020-02-11 Kedar Dhamdhere , Ashish Agarwal , Mukund Sundararajan

Explainable artificial intelligence (XAI) is essential for trustworthy machine learning (ML), particularly in high-stakes domains such as healthcare and finance. Shapley value (SV) methods provide a principled framework for feature…

Machine Learning · Statistics 2025-10-03 Wangxuan Fan , Siqi Li , Doudou Zhou , Yohei Okada , Chuan Hong , Molei Liu , Nan Liu

Shapley value and its priority-aware extensions are widely used for valuation in machine learning, but existing methods require pairwise priority to be binary and acyclic, a restriction spectacularly violated in real-data examples such as…

Machine Learning · Computer Science 2026-05-15 Kiljae Lee , Ziqi Liu , Weijing Tang , Yuan Zhang

A number of techniques have been proposed to explain a machine learning model's prediction by attributing it to the corresponding input features. Popular among these are techniques that apply the Shapley value method from cooperative game…

Machine Learning · Computer Science 2020-06-29 Luke Merrick , Ankur Taly

The problem of explaining the behavior of deep neural networks has recently gained a lot of attention. While several attribution methods have been proposed, most come without strong theoretical foundations, which raises questions about…

Machine Learning · Computer Science 2019-06-24 Marco Ancona , Cengiz Öztireli , Markus Gross

In this article, we provide an axiomatic characterization of feature attribution for multi-output predictors within the Shapley framework. While SHAP explanations are routinely computed independently for each output coordinate, the…

Model averaging techniques in the actuarial literature aim to forecast future longevity appropriately by combining forecasts derived from various models. This approach often yields more accurate predictions than those generated by a single…

Applications · Statistics 2025-10-28 Giovanna Bimonte , Maria Russolillo , Han Lin Shang , Yang Yang

M\"obius inversion and Shapley values are two mathematical tools for characterizing and decomposing higher-order structure in complex systems. The former defines higher-order interactions as discrete derivatives over a partial order; the…

Computer Science and Game Theory · Computer Science 2026-04-23 Patrick Forré , Abel Jansma

The Shapley value provides a principled foundation for data valuation, but exact computation is #P-hard due to the exponential coalition space. Existing accelerations remain global and ignore a structural property of modern predictors: for…

Machine Learning · Computer Science 2026-03-05 Xuan Yang , Hsi-Wen Chen , Ming-Syan Chen , Jian Pei

Neural network pruning is a rich field with a variety of approaches. In this work, we propose to connect the existing pruning concepts such as leave-one-out pruning and oracle pruning and develop them into a more general Shapley value-based…

Machine Learning · Computer Science 2024-07-24 Kamil Adamczewski , Yawei Li , Luc van Gool

Existing feature selection methods fail to properly account for interactions between features when evaluating feature subsets. In this paper, we attempt to remedy this issue by using orthogonal variance decomposition to evaluate features.…

Machine Learning · Computer Science 2019-10-23 Firuz Kamalov

We discuss promising recent contributions on quantifying feature relevance using Shapley values, where we observed some confusion on which probability distribution is the right one for dropped features. We argue that the confusion is based…

Machine Learning · Statistics 2019-11-28 Dominik Janzing , Lenon Minorics , Patrick Blöbaum

Measuring the value of individual samples is critical for many data-driven tasks, e.g., the training of a deep learning model. Recent literature witnesses the substantial efforts in developing data valuation methods. The primary data…

Machine Learning · Computer Science 2024-06-06 Ou Wu , Weiyao Zhu , Mengyang Li

An important technique to explore a black-box machine learning (ML) model is called SHAP (SHapley Additive exPlanation). SHAP values decompose predictions into contributions of the features in a fair way. We will show that for a boosted…

Machine Learning · Statistics 2022-08-01 Michael Mayer

Data samples collected for training machine learning models are typically assumed to be independent and identically distributed (iid). Recent research has demonstrated that this assumption can be problematic as it simplifies the manifold of…

Machine Learning · Computer Science 2019-10-16 Kaixuan Zhang , Qinglong Wang , Xue Liu , C. Lee Giles