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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

With the rise of deep neural networks, the challenge of explaining the predictions of these networks has become increasingly recognized. While many methods for explaining the decisions of deep neural networks exist, there is currently no…

Machine Learning · Computer Science 2022-07-13 Ian E. Nielsen , Dimah Dera , Ghulam Rasool , Nidhal Bouaynaya , Ravi P. Ramachandran

We propose in this work the gradient-enhanced deep neural networks (DNNs) approach for function approximations and uncertainty quantification. More precisely, the proposed approach adopts both the function evaluations and the associated…

Machine Learning · Computer Science 2022-11-09 Xiaodong Feng , Li Zeng

Attribution explanation is a typical approach for explaining deep neural networks (DNNs), inferring an importance or contribution score for each input variable to the final output. In recent years, numerous attribution methods have been…

Machine Learning · Computer Science 2025-08-12 Huiqi Deng , Hongbin Pei , Quanshi Zhang , Mengnan Du

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 (DNNs) demonstrate outstanding performance across most computer vision tasks. Some critical applications, such as autonomous driving or medical imaging, also require investigation into their behavior and the reasons…

Computer Vision and Pattern Recognition · Computer Science 2023-12-11 Edouard Yvinec , Arnaud Dapogny , Kevin Bailly , Xavier Fischer

Neural networks are increasingly finding their way into the realm of graphs and modeling relationships between features. Concurrently graph neural network explanation approaches are being invented to uncover relationships between the nodes…

Machine Learning · Computer Science 2024-01-02 Razieh Rezaei , Alireza Dizaji , Ashkan Khakzar , Anees Kazi , Nassir Navab , Daniel Rueckert

This paper studies the robustness of feature attribution methods for deep neural networks. It challenges the current notion of attributional robustness that largely ignores the difference in the model's outputs and introduces a new way of…

Machine Learning · Computer Science 2025-12-09 Panagiota Kiourti , Anu Singh , Preeti Duraipandian , Weichao Zhou , Wenchao Li

Local explanation methods, also known as attribution methods, attribute a deep network's prediction to its input (cf. Baehrens et al. (2010)). We respond to the claim from Adebayo et al. (2018) that local explanation methods lack…

Machine Learning · Computer Science 2018-06-13 Mukund Sundararajan , Ankur Taly

As deep neural networks (DNNs) are increasingly used in safety-critical applications, there is a growing concern for their reliability. Even highly trained, high-performant networks are not 100% accurate. However, it is very difficult to…

Neural and Evolutionary Computing · Computer Science 2024-07-30 Eduard Pinconschi , Divya Gopinath , Rui Abreu , Corina S. Pasareanu

Exact structured inference with neural network scoring functions is computationally challenging but several methods have been proposed for approximating inference. One approach is to perform gradient descent with respect to the output…

Computation and Language · Computer Science 2019-07-09 Lifu Tu , Kevin Gimpel

A suitable similarity index for comparing learnt neural networks plays an important role in understanding the behaviour of the highly-nonlinear functions, and can provide insights on further theoretical analysis and empirical studies. We…

Machine Learning · Computer Science 2020-03-26 Shuai Tang , Wesley J. Maddox , Charlie Dickens , Tom Diethe , Andreas Damianou

Deep neural networks are very successful on many vision tasks, but hard to interpret due to their black box nature. To overcome this, various post-hoc attribution methods have been proposed to identify image regions most influential to the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Sukrut Rao , Moritz Böhle , Bernt Schiele

Similarity search is a fundamental task for exploiting information in various applications dealing with graph data, such as citation networks or knowledge graphs. While this task has been intensively approached from heuristics to graph…

Machine Learning · Computer Science 2026-05-12 Daniel Daza , Cuong Xuan Chu , Trung-Kien Tran , Daria Stepanova , Michael Cochez , Paul Groth

Gradient-based attribution methods can aid in the understanding of convolutional neural networks (CNNs). However, the redundancy of attribution features and the gradient saturation problem, which weaken the ability to identify significant…

Computer Vision and Pattern Recognition · Computer Science 2021-04-13 An Zhang , Xiang Wang , Chengfang Fang , Jie Shi , Tat-seng Chua , Zehua Chen

In recent years, the remarkable success of graph neural networks (GNNs) on graph-structured data has prompted a surge of methods for explaining GNN predictions. However, the state-of-the-art for GNN explainability remains in flux. Different…

Machine Learning · Computer Science 2025-08-05 Jesse He , Akbar Rafiey , Gal Mishne , Yusu Wang

Existing analyses of optimization in deep learning are either continuous, focusing on (variants of) gradient flow, or discrete, directly treating (variants of) gradient descent. Gradient flow is amenable to theoretical analysis, but is…

Machine Learning · Computer Science 2021-12-30 Omer Elkabetz , Nadav Cohen

Deep neural networks are very successful on many vision tasks, but hard to interpret due to their black box nature. To overcome this, various post-hoc attribution methods have been proposed to identify image regions most influential to the…

Computer Vision and Pattern Recognition · Computer Science 2024-07-23 Sukrut Rao , Moritz Böhle , Bernt Schiele

To solve the problem that convolutional neural networks (CNNs) are difficult to process non-grid type relational data like graphs, Kipf et al. proposed a graph convolutional neural network (GCN). The core idea of the GCN is to perform…

Machine Learning · Computer Science 2019-04-17 Shangsheng Xie , Mingming Lu

We address the challenging problem of deep representation learning--the efficient adaption of a pre-trained deep network to different tasks. Specifically, we propose to explore gradient-based features. These features are gradients of the…

Machine Learning · Computer Science 2020-04-14 Fangzhou Mu , Yingyu Liang , Yin Li
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