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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

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

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

In this paper, we dive into the reliability concerns of Integrated Gradients (IG), a prevalent feature attribution method for black-box deep learning models. We particularly address two predominant challenges associated with IG: the…

Machine Learning · Computer Science 2024-05-17 Eslam Zaher , Maciej Trzaskowski , Quan Nguyen , Fred Roosta

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

Motivated by applications arising from sensor networks and machine learning, we consider the problem of minimizing a finite sum of nondifferentiable convex functions where each component function is associated with an agent and a…

Optimization and Control · Mathematics 2021-03-22 Harshal D. Kaushik , Farzad Yousefian

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

We introduce path-sampled integrated gradients (PS-IG), a framework that generalizes feature attribution by computing the expected value over baselines sampled along the linear interpolation path. We prove that PS-IG is mathematically…

Machine Learning · Computer Science 2026-04-17 Firuz Kamalov , Fadi Thabtah , R. Sivaraj , Neda Abdelhamid

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

We propose an inexact optimization algorithm on Riemannian manifolds, motivated by quadratic discrimination tasks in high-dimensional, low-sample-size (HDLSS) imaging settings. In such applications, gradient evaluations are often biased due…

Optimization and Control · Mathematics 2025-07-08 Uday Talwar , Meredith K. Kupinski , Afrooz Jalilzadeh

As a prominent attribution-based explanation algorithm, Integrated Gradients (IG) is widely adopted due to its desirable explanation axioms and the ease of gradient computation. It measures feature importance by averaging the model's output…

Computation and Language · Computer Science 2021-09-01 Soumya Sanyal , Xiang Ren

There has been a surge in Explainable-AI (XAI) methods that provide insights into the workings of Deep Neural Network (DNN) models. Integrated Gradients (IG) is a popular XAI algorithm that attributes relevance scores to input features…

Machine Learning · Computer Science 2023-02-23 Ashwin Bhat , Arijit Raychowdhury

Neural networks are becoming increasingly better at tasks that involve classifying and recognizing images. At the same time techniques intended to explain the network output have been proposed. One such technique is the Gradient-based Class…

Computer Vision and Pattern Recognition · Computer Science 2022-05-24 Mirtha Lucas , Miguel Lerma , Jacob Furst , Daniela Raicu

Elliptically-contoured distributions (ECD) play a significant role, in computer vision, image processing, radar, and biomedical signal processing. Maximum likelihood. estimation (MLE) of ECD leads to a system of non-linear equations,…

Signal Processing · Electrical Eng. & Systems 2020-11-06 Jialun Zhou , Salem Said , Yannick Berthoumieu

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

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

Efforts to decode deep neural networks (DNNs) often involve mapping their predictions back to the input features. Among these methods, Integrated Gradients (IG) has emerged as a significant technique. The selection of appropriate baselines…

Machine Learning · Computer Science 2024-05-21 Shuyang Liu , Zixuan Chen , Ge Shi , Ji Wang , Changjie Fan , Yu Xiong , Runze Wu Yujing Hu , Ze Ji , Yang Gao

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

We introduce Generalized Integrated Gradients (GIG), a formal extension of the Integrated Gradients (IG) (Sundararajan et al., 2017) method for attributing credit to the input variables of a predictive model. GIG improves IG by explaining a…

Machine Learning · Computer Science 2019-09-10 John Merrill , Geoff Ward , Sean Kamkar , Jay Budzik , Douglas Merrill

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
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