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We introduce Riemannian Integrated Gradients (RIG); an extension of Integrated Gradients (IG) to Riemannian manifolds. We demonstrate that RIG restricts to IG when the Riemannian manifold is Euclidean space. We show that feature attribution…

Machine Learning · Computer Science 2025-03-04 Federico Costanza , Lachlan Simpson

Integrated Gradients (IG), a widely used axiomatic path-based attribution method, assigns importance scores to input features by integrating model gradients along a straight path from a baseline to the input. While effective in some cases,…

Machine Learning · Computer Science 2026-02-27 Sina Salek , Joseph Enguehard

Feature attribution is central to diagnosing and trusting deep neural networks, and Integrated Gradients (IG) is widely used due to its axiomatic properties. However, IG can yield unreliable explanations when the integration path between a…

Machine Learning · Computer Science 2026-05-19 Soyeon Kim , Seongwoo Lim , Kyowoon Lee , Jaesik Choi

Deep neural networks have produced significant progress among machine learning models in terms of accuracy and functionality, but their inner workings are still largely unknown. Attribution methods seek to shine a light on these "black box"…

Machine Learning · Computer Science 2023-06-27 Daniel Lundstrom , Meisam Razaviyayn

Feature attribution explains Artificial Intelligence (AI) at the instance level by providing importance scores of input features' contributions to model prediction. Integrated Gradients (IG) is a prominent path attribution method for deep…

Computer Vision and Pattern Recognition · Computer Science 2024-06-18 Yue Zhuo , Zhiqiang Ge

Integrated Gradients (IG) is a widely used attribution method in explainable AI, particularly in computer vision applications where reliable feature attribution is essential. A key limitation of IG is its sensitivity to the choice of…

Machine Learning · Statistics 2025-11-21 Kien Tran Duc Tuan , Tam Nguyen Trong , Son Nguyen Hoang , Khoat Than , Anh Nguyen Duc

As deep learning (DL) efficacy grows, concerns for poor model explainability grow also. Attribution methods address the issue of explainability by quantifying the importance of an input feature for a model prediction. Among various methods,…

Machine Learning · Computer Science 2022-07-01 Daniel Lundstrom , Tianjian Huang , Meisam Razaviyayn

Integrated Gradients (IG) is a commonly used feature attribution method for deep neural networks. While IG has many desirable properties, the method often produces spurious/noisy pixel attributions in regions that are not related to the…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Andrei Kapishnikov , Subhashini Venugopalan , Besim Avci , Ben Wedin , Michael Terry , Tolga Bolukbasi

Deep learning has become the standard approach for most machine learning tasks. While its impact is undeniable, interpreting the predictions of deep learning models from a human perspective remains a challenge. In contrast to model…

Machine Learning · Computer Science 2023-11-13 Kyriakos Axiotis , Sami Abu-al-haija , Lin Chen , Matthew Fahrbach , Gang Fu

Integrated Gradients (IG) is a widely adopted feature attribution method that satisfies desirable axiomatic properties. However, the choice of integration path significantly affects the quality of attributions, and the standard…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Soyeon Kim , Seongwoo Lim , Kyowoon Lee , Jaesik Choi

Integrated Gradients (IG) is a common explainability technique to address the black-box problem of neural networks. Integrated gradients assumes continuous data. Graphs are discrete structures making IG ill-suited to graphs. In this work,…

Machine Learning · Computer Science 2025-09-10 Lachlan Simpson , Kyle Millar , Adriel Cheng , Cheng-Chew Lim , Hong Gunn Chew

Integrated Gradients (IG) is a widely used algorithm for attributing the outputs of a deep neural network to its input features. Due to the absence of closed-form integrals for deep learning models, inaccurate Riemann Sum approximations are…

Machine Learning · Computer Science 2025-01-07 Swadesh Swain , Shree Singhi

We conducted a reproducibility study on Integrated Gradients (IG) based methods and the Important Direction Gradient Integration (IDGI) framework. IDGI eliminates the explanation noise in each step of the computation of IG-based methods…

Numerical Analysis · Mathematics 2024-09-17 Shree Singhi , Anupriya Kumari

We study the problem of attributing the prediction of a deep network to its input features, a problem previously studied by several other works. We identify two fundamental axioms---Sensitivity and Implementation Invariance that attribution…

Machine Learning · Computer Science 2017-06-14 Mukund Sundararajan , Ankur Taly , Qiqi Yan

Attribution methods are primarily designed to study input component contributions to individual model predictions. However, some research applications require a summary of attribution patterns across the entire dataset to facilitate the…

Machine Learning · Computer Science 2025-07-15 Pierre Lelièvre , Chien-Chung Chen

Graphs are ubiquitous, and learning on graphs has become a cornerstone in artificial intelligence and data mining communities. Unlike pixel grids in images or sequential structures in language, graphs exhibit a typical non-Euclidean…

Machine Learning · Computer Science 2026-02-12 Li Sun , Qiqi Wan , Suyang Zhou , Zhenhao Huang , Philip S. Yu

Attribution algorithms are frequently employed to explain the decisions of neural network models. Integrated Gradients (IG) is an influential attribution method due to its strong axiomatic foundation. The algorithm is based on integrating…

Machine Learning · Computer Science 2023-12-19 Chase Walker , Sumit Jha , Kenny Chen , Rickard Ewetz

Non-Euclidean constraints are inherent in many kinds of data in computer vision and machine learning, typically as a result of specific invariance requirements that need to be respected during high-level inference. Often, these geometric…

Computer Vision and Pattern Recognition · Computer Science 2017-09-26 Suhas Lohit , Pavan Turaga

Integrated Gradients (IG) as well as its variants are well-known techniques for interpreting the decisions of deep neural networks. While IG-based approaches attain state-of-the-art performance, they often integrate noise into their…

Computer Vision and Pattern Recognition · Computer Science 2023-03-28 Ruo Yang , Binghui Wang , Mustafa Bilgic

Integrated Gradients (IG) is a widely used attribution method in explainable artificial intelligence (XAI). In this paper, we introduce Path-Weighted Integrated Gradients (PWIG), a generalization of IG that incorporates a customizable…

Machine Learning · Computer Science 2025-09-23 Firuz Kamalov , Mohmad Al Falasi , Fadi Thabtah
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