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This paper considers the problem of variable selection in regression models in the case of functional variables that may be mixed with other type of variables (scalar, multivariate, directional, etc.). Our proposal begins with a simple null…

Machine learning transparency calls for interpretable explanations of how inputs relate to predictions. Feature attribution is a way to analyze the impact of features on predictions. Feature interactions are the contextual dependence…

Machine Learning · Statistics 2020-06-22 Michael Tsang , Sirisha Rambhatla , Yan Liu

The Shapley value is the prevalent solution for fair division problems in which a payout is to be divided among multiple agents. By adopting a game-theoretic view, the idea of fair division and the Shapley value can also be used in machine…

Computer Science and Game Theory · Computer Science 2026-05-13 Guilherme Dean Pelegrina , Patrick Kolpaczki , Eyke Hüllermeier

In many real-world learning scenarios, features are only acquirable at a cost constrained under a budget. In this paper, we propose a novel approach for cost-sensitive feature acquisition at the prediction-time. The suggested method…

Machine Learning · Computer Science 2019-02-19 Mohammad Kachuee , Orpaz Goldstein , Kimmo Karkkainen , Sajad Darabi , Majid Sarrafzadeh

We propose a new attribution method for neural networks developed using first principles of causality (to the best of our knowledge, the first such). The neural network architecture is viewed as a Structural Causal Model, and a methodology…

Machine Learning · Computer Science 2019-07-04 Aditya Chattopadhyay , Piyushi Manupriya , Anirban Sarkar , Vineeth N Balasubramanian

Not all real-world data are labeled, and when labels are not available, it is often costly to obtain them. Moreover, as many algorithms suffer from the curse of dimensionality, reducing the features in the data to a smaller set is often of…

Machine Learning · Computer Science 2022-05-19 Chiara Balestra , Florian Huber , Andreas Mayr , Emmanuel Müller

Interpretable machine learning offers insights into what factors drive a certain prediction of a black-box system. A large number of interpreting methods focus on identifying explanatory input features, which generally fall into two main…

Machine Learning · Computer Science 2023-06-02 Vy Vo , Van Nguyen , Trung Le , Quan Hung Tran , Gholamreza Haffari , Seyit Camtepe , Dinh Phung

Feature attribution methods, which explain an individual prediction made by a model as a sum of attributions for each input feature, are an essential tool for understanding the behavior of complex deep learning models. However, ensuring…

Machine Learning · Computer Science 2020-10-28 Ethan Weinberger , Joseph Janizek , Su-In Lee

Using feature attributions for post-hoc explanations is a common practice to understand and verify the predictions of opaque machine learning models. Despite the numerous techniques available, individual methods often produce inconsistent…

Machine Learning · Computer Science 2024-06-10 Thomas Decker , Ananta R. Bhattarai , Jindong Gu , Volker Tresp , Florian Buettner

We develop an algorithm to solve the Bottleneck Assignment Problem (BAP) that is amenable to having computation distributed over a network of agents. This consists of exploring how each component of the algorithm can be distributed, with a…

Optimization and Control · Mathematics 2020-11-20 Mitchell Khoo , Tony A. Wood , Chris Manzie , Iman Shames

Marketers employ various online advertising channels to reach customers, and they are particularly interested in attribution for measuring the degree to which individual touchpoints contribute to an eventual conversion. The availability of…

Methodology · Statistics 2023-02-14 Jun Tao , Qian Chen , James W. Snyder , Arava Sai Kumar , Amirhossein Meisami , Lingzhou Xue

We consider the classical linear assignment problem, and we introduce new auction algorithms for its optimal and suboptimal solution. The algorithms are founded on duality theory, and are related to ideas of competitive bidding by persons…

Computer Science and Game Theory · Computer Science 2023-10-24 Dimitri Bertsekas

Despite the frequent use of agent-based models (ABMs) for studying social phenomena, parameter estimation remains a challenge, often relying on costly simulation-based heuristics. This work uses variational inference to estimate the…

Computers and Society · Computer Science 2025-12-04 Jacopo Lenti , Fabrizio Silvestri , Gianmarco De Francisci Morales

In multiple criteria decision aiding, very often the alternatives are compared by means of a value function compatible with the preferences expressed by the Decision Maker. The problem is that, in general, there is a plurality of compatible…

Optimization and Control · Mathematics 2023-04-14 Sally Giuseppe Arcidiacono , Salvatore Corrente , Salvatore Greco

[Context and motivation:] For realistic self-adaptive systems, multiple quality attributes need to be considered and traded off against each other. These quality attributes are commonly encoded in a utility function, for instance, a…

Software Engineering · Computer Science 2021-03-19 Rebekka Wohlrab , David Garlan

Solving stochastic optimization problems under partial observability, where one needs to adaptively make decisions with uncertain outcomes, is a fundamental but notoriously difficult challenge. In this paper, we introduce the concept of…

Machine Learning · Computer Science 2017-12-07 Daniel Golovin , Andreas Krause

Many existing approaches for estimating feature importance are problematic because they ignore or hide dependencies among features. A causal graph, which encodes the relationships among input variables, can aid in assigning feature…

Machine Learning · Computer Science 2021-03-01 Jiaxuan Wang , Jenna Wiens , Scott Lundberg

The Shapley value provides a principled framework for fairly distributing rewards among participants according to their individual contributions. While prior work has applied this concept to data valuation in machine learning, existing…

Computer Science and Game Theory · Computer Science 2026-01-22 Zhuofan Jia , Jian Pei

We investigate the problem of explainability for machine learning models, focusing on Feature Attribution Methods (FAMs) that evaluate feature importance through perturbation tests. Despite their utility, FAMs struggle to distinguish the…

A statistical, data-driven method is presented that quantifies influences between variables of a dynamical system. The method is based on finding a suitable representation of points by fuzzy affiliations with respect to landmark points…

Dynamical Systems · Mathematics 2022-03-14 Niklas Wulkow