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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

Deep Neural Networks (DNNs) are powerful algorithms that have been proven capable of extracting non-Gaussian information from weak lensing (WL) data sets. Understanding which features in the data determine the output of these nested,…

Cosmology and Nongalactic Astrophysics · Physics 2021-04-14 José Manuel Zorrilla Matilla , Manasi Sharma , Daniel Hsu , Zoltán Haiman

The proliferation of deep neural networks in various domains has seen an increased need for interpretability of these models. Preliminary work done along this line and papers that surveyed such, are focused on high-level representation…

Computation and Language · Computer Science 2022-08-17 Hassan Sajjad , Nadir Durrani , Fahim Dalvi

Deep neural networks (DNNs) have demonstrated remarkable success, yet their wide adoption is often hindered by their opaque decision-making. To address this, attribution methods have been proposed to assign relevance values to each part of…

Computer Vision and Pattern Recognition · Computer Science 2025-04-10 Danielle Cohen , Hila Chefer , Lior Wolf

Deep Neural Networks are, from a physical perspective, graphs whose `links` and `vertices` iteratively process data and solve tasks sub-optimally. We use Complex Network Theory (CNT) to represents Deep Neural Networks (DNNs) as directed…

Machine Learning · Computer Science 2022-09-14 Emanuele La Malfa , Gabriele La Malfa , Claudio Caprioli , Giuseppe Nicosia , Vito Latora

Segmentation is the identification of anatomical regions of interest, such as organs, tissue, and lesions, serving as a fundamental task in computer-aided diagnosis in medical imaging. Although deep learning models have achieved remarkable…

Image and Video Processing · Electrical Eng. & Systems 2025-12-09 Tianyi Ren , Daniel Low , Pittra Jaengprajak , Juampablo Heras Rivera , Jacob Ruzevick , Mehmet Kurt

Language is an intricately structured system, and a key goal of NLP interpretability is to provide methodological insights for understanding how language models represent this structure internally. In this paper, we use Shapley Taylor…

Machine Learning · Computer Science 2025-06-12 Divyansh Singhvi , Diganta Misra , Andrej Erkelens , Raghav Jain , Isabel Papadimitriou , Naomi Saphra

This paper discusses an application of Shapley values in the causal inference field, specifically on how to select the top confounder variables for coarsened exact matching method in a scalable way. We use a dataset from an observational…

Machine Learning · Statistics 2022-06-08 Jilei Yang , Wentao Su

The Shapley value is commonly illustrated by roll call votes in which players support or reject a proposal in sequence. If all sequences are equiprobable, a voter's Shapley value can be interpreted as the probability of being pivotal, i.e.,…

Computer Science and Game Theory · Computer Science 2018-10-04 Sascha Kurz , Stefan Napel

Interpreting neural networks is a crucial and challenging task in machine learning. In this paper, we develop a novel framework for detecting statistical interactions captured by a feedforward multilayer neural network by directly…

Machine Learning · Statistics 2018-02-28 Michael Tsang , Dehua Cheng , Yan Liu

Influence propagation in social networks has recently received large interest. In fact, the understanding of how influence propagates among subjects in a social network opens the way to a growing number of applications. Many efforts have…

Social and Information Networks · Computer Science 2018-01-30 Luca Luceri , Torsten Braun , Silvia Giordano

The last decade of machine learning has seen drastic increases in scale and capabilities. Deep neural networks (DNNs) are increasingly being deployed in the real world. However, they are difficult to analyze, raising concerns about using…

Machine Learning · Computer Science 2023-08-22 Tilman Räuker , Anson Ho , Stephen Casper , Dylan Hadfield-Menell

The impressive success of recent deep neural network (DNN)-based systems is significantly influenced by the high-quality datasets used in training. However, the effects of the datasets, especially how they interact with each other, remain…

Computation and Language · Computer Science 2023-10-18 Esmat Sahak , Zining Zhu , Frank Rudzicz

Variable importance, interaction measures, and partial dependence plots are important summaries in the interpretation of statistical and machine learning models. In this paper we describe new visualization techniques for exploring these…

Computation · Statistics 2021-10-12 Alan Inglis , Andrew Parnell , Catherine Hurley

The presence of artificial intelligence (AI) in our society is increasing, which brings with it the need to understand the behavior of AI mechanisms, including machine learning predictive algorithms fed with tabular data, text or images,…

Machine Learning · Statistics 2025-06-06 Pedro Delicado , Cristian Pachón-García

This paper aims to define, quantify, and analyze the feature complexity that is learned by a DNN. We propose a generic definition for the feature complexity. Given the feature of a certain layer in the DNN, our method disentangles feature…

Machine Learning · Computer Science 2023-12-04 Jie Ren , Mingjie Li , Zexu Liu , Quanshi Zhang

Variable selection or importance measurement of input variables to a machine learning model has become the focus of much research. It is no longer enough to have a good model, one also must explain its decisions. This is why there are so…

Machine Learning · Computer Science 2023-08-01 Vincent Lemaire , Fabrice Clérot , Marc Boullé

Explaining machine learning models is an important and increasingly popular area of research interest. The Shapley value from game theory has been proposed as a prime approach to compute feature importance towards model predictions on…

Machine Learning · Computer Science 2023-01-02 Shichang Zhang , Yozen Liu , Neil Shah , Yizhou Sun

We propose a novel definition of Shapley values with uncertain value functions based on first principles using probability theory. Such uncertain value functions can arise in the context of explainable machine learning as a result of…

Machine Learning · Computer Science 2023-04-03 Raoul Heese , Sascha Mücke , Matthias Jakobs , Thore Gerlach , Nico Piatkowski

Emotions play an important role in people's life. Understanding and recognising is not only important for interpersonal communication, but also has promising applications in Human-Computer Interaction, automobile safety and medical…

Machine Learning · Computer Science 2019-12-17 Xia Yicheng , Dimitrios Kollias
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