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We consider the performance of a least-squares regression model, as judged by out-of-sample $R^2$. Shapley values give a fair attribution of the performance of a model to its input features, taking into account interdependencies between…

Computation · Statistics 2024-09-11 Logan Bell , Nikhil Devanathan , Stephen Boyd

Safety evaluation of self-driving technologies has been extensively studied. One recent approach uses Monte Carlo based evaluation to estimate the occurrence probabilities of safety-critical events as safety measures. These Monte Carlo…

Methodology · Statistics 2019-07-19 Zhiyuan Huang , Mansur Arief , Henry Lam , Ding Zhao

The original development of Shapley values for prediction explanation relied on the assumption that the features being described were independent. If the features in reality are dependent this may lead to incorrect explanations. Hence,…

Methodology · Statistics 2021-02-15 Kjersti Aas , Thomas Nagler , Martin Jullum , Anders Løland

Developing modern machine learning (ML) applications is data-centric, of which one fundamental challenge is to understand the influence of data quality to ML training -- "Which training examples are 'guilty' in making the trained ML model…

Machine Learning · Computer Science 2022-04-28 Bojan Karlaš , David Dao , Matteo Interlandi , Bo Li , Sebastian Schelter , Wentao Wu , Ce Zhang

Extant "fast" algorithms for Monte Carlo confidence sets are limited to univariate shift parameters for the one-sample and two-sample problems using the sample mean as the test statistic; moreover, some do not converge reliably and most do…

Computation · Statistics 2025-02-27 Amanda K. Glazer , Philip B. Stark

Feature attribution methods help make machine learning-based inference explainable by determining how much one or several features have contributed to a model's output. A particularly popular attribution method is based on the Shapley value…

Artificial Intelligence · Computer Science 2025-11-04 Filip Naudot , Tobias Sundqvist , Timotheus Kampik

Continuous level Monte Carlo is an unbiased, continuous version of the celebrated multilevel Monte Carlo method. The approximation level is assumed to be continuous resulting in a stochastic process describing the quantity of interest.…

Numerical Analysis · Mathematics 2024-02-19 Cedric Aaron Beschle , Andrea Barth

Banzhaf values provide a popular, interpretable alternative to the widely-used Shapley values for quantifying the importance of features in machine learning models. Like Shapley values, computing Banzhaf values exactly requires time…

Machine Learning · Computer Science 2025-02-19 Yurong Liu , R. Teal Witter , Flip Korn , Tarfah Alrashed , Dimitris Paparas , Christopher Musco , Juliana Freire

When using machine learning techniques in decision-making processes, the interpretability of the models is important. In the present paper, we adopted the Shapley additive explanation (SHAP), which is based on fair profit allocation among…

Machine Learning · Computer Science 2022-03-03 Yasunobu Nohara , Koutarou Matsumoto , Hidehisa Soejima , Naoki Nakashima

We study an optimal control problem under uncertainty, where the target function is the solution of an elliptic partial differential equation with random coefficients, steered by a control function. The robust formulation of the…

Numerical Analysis · Mathematics 2019-10-23 Philipp A. Guth , Vesa Kaarnioja , Frances Y. Kuo , Claudia Schillings , Ian H. Sloan

We investigate the use of Antithetic Variables, Control Variates and Importance Sampling to reduce the statistical errors of option sensitivities calculated with the Likelihood Ratio Method in Monte Carlo. We show how Antithetic Variables…

Data Analysis, Statistics and Probability · Physics 2008-08-24 Luca Capriotti

We develop a novel Monte Carlo algorithm for the vector consisting of the supremum, the time at which the supremum is attained and the position at a given (constant) time of an exponentially tempered L\'evy process. The algorithm, based on…

Mathematical Finance · Quantitative Finance 2023-11-20 Jorge Ignacio González Cázares , Aleksandar Mijatović

In this paper, we propose ShapTST, a framework that enables time-series transformers to efficiently generate Shapley-value-based explanations alongside predictions in a single forward pass. Shapley values are widely used to evaluate the…

Machine Learning · Computer Science 2025-01-28 Qisen Cheng , Jinming Xing , Chang Xue , Xiaoran Yang

In this paper we introduce a metric aimed at helping machine learning practitioners quickly summarize and communicate the overall importance of each feature in any black-box machine learning prediction model. Our proposed metric, based on a…

Methodology · Statistics 2019-08-27 Nickalus Redell

Monitoring machine learning models once they are deployed is challenging. It is even more challenging to decide when to retrain models in real-case scenarios when labeled data is beyond reach, and monitoring performance metrics becomes…

Machine Learning · Computer Science 2022-11-23 Carlos Mougan , Dan Saattrup Nielsen

Multivariate circular observations, i.e. points on a torus are nowadays very common. Multivariate wrapped models are often appropriate to describe data points scattered on p-dimensional torus. However, statistical inference based on this…

Computation · Statistics 2018-11-16 Anahita Nodehi , Mousa Golalizadeh , Mehdi Maadooliat , Claudio Agostinelli

Monte Carlo experiments produce samples in order to estimate features of a given distribution. However, simultaneous estimation of means and quantiles has received little attention, despite being common practice. In this setting we…

Computation · Statistics 2020-04-24 Nathan Robertson , James M. Flegal , Dootika Vats , Galin L. Jones

Shapley additive explanations (SHAP) are widely recognised as computationally intractable for neural networks, since they induce an exponential search space over the input features. In this work, we take a first step towards scaling exact…

Machine Learning · Computer Science 2026-05-26 David Boetius , Shahaf Bassan , Guy Katz , Stefan Leue , Tobias Sutter

Quantifying the importance of each training point to a learning task is a fundamental problem in machine learning and the estimated importance scores have been leveraged to guide a range of data workflows such as data summarization and…

Machine Learning · Computer Science 2021-04-27 Ruoxi Jia , Fan Wu , Xuehui Sun , Jiacen Xu , David Dao , Bhavya Kailkhura , Ce Zhang , Bo Li , Dawn Song

Monte Carlo (MC) integration is an important calculational technique in the physical sciences. Practical considerations require that the calculations are performed as accurately as possible for a given set of computational resources. To…

High Energy Physics - Phenomenology · Physics 2024-11-08 Prasanth Shyamsundar , Jacob L. Scott , Stephen Mrenna , Konstantin T. Matchev , Kyoungchul Kong