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Despite tremendous success of modern neural networks, they are known to be overconfident even when the model encounters inputs with unfamiliar conditions. Detecting such inputs is vital to preventing models from making naive predictions…

Computer Vision and Pattern Recognition · Computer Science 2020-09-07 Jinsol Lee , Ghassan AlRegib

Implicit models, which allow for the generation of samples but not for point-wise evaluation of probabilities, are omnipresent in real-world problems tackled by machine learning and a hot topic of current research. Some examples include…

Machine Learning · Statistics 2018-04-27 Yingzhen Li , Richard E. Turner

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

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

The explication of Convolutional Neural Networks (CNN) through xAI techniques often poses challenges in interpretation. The inherent complexity of input features, notably pixels extracted from images, engenders complex correlations.…

Computer Vision and Pattern Recognition · Computer Science 2024-05-16 Caroline Mazini Rodrigues , Nicolas Boutry , Laurent Najman

We introduce a new tool for interpreting neural net responses, namely full-gradients, which decomposes the neural net response into input sensitivity and per-neuron sensitivity components. This is the first proposed representation which…

Machine Learning · Computer Science 2019-12-04 Suraj Srinivas , Francois Fleuret

Gaussian Process (GP) models are a powerful tool in probabilistic machine learning with a solid theoretical foundation. Thanks to current advances, modeling complex data with GPs is becoming increasingly feasible, which makes them an…

Machine Learning · Computer Science 2025-03-04 Sarem Seitz

We study properties of particular non-redundant sets of if-then rules describing dependencies between graded attributes. We introduce notions of saturation and witnessed non-redundancy of sets of graded attribute implications are show that…

Artificial Intelligence · Computer Science 2015-12-29 Vilem Vychodil

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

Integrated Gradients (IG) and PatternAttribution (PA) are two established explainability methods for neural networks. Both methods are theoretically well-founded. However, they were designed to overcome different challenges. In this work,…

Machine Learning · Computer Science 2020-09-02 Robert Schwarzenberg , Steffen Castle

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

Estimating the test performance of a model, possibly under distribution shift, without having access to the ground-truth labels is a challenging, yet very important problem for the safe deployment of machine learning algorithms in the wild.…

Machine Learning · Computer Science 2025-05-13 Renchunzi Xie , Ambroise Odonnat , Vasilii Feofanov , Ievgen Redko , Jianfeng Zhang , Bo An

Visualizing the features captured by Convolutional Neural Networks (CNNs) is one of the conventional approaches to interpret the predictions made by these models in numerous image recognition applications. Grad-CAM is a popular solution…

Computer Vision and Pattern Recognition · Computer Science 2021-02-17 Sam Sattarzadeh , Mahesh Sudhakar , Konstantinos N. Plataniotis , Jongseong Jang , Yeonjeong Jeong , Hyunwoo Kim

Rendering volumetric scattering media, including clouds, fog, smoke, and other complex materials, is crucial for realism in computer graphics. Traditional path tracing, while unbiased, requires many long path samples to converge in scenes…

Graphics · Computer Science 2024-04-19 Becky Hu , Xi Deng , Fujun Luan , Miloš Hašan , Steve Marschner

Many popular feature-attribution methods for interpreting deep neural networks rely on computing the gradients of a model's output with respect to its inputs. While these methods can indicate which input features may be important for the…

Machine Learning · Computer Science 2023-07-11 Kevin Du , Lucas Torroba Hennigen , Niklas Stoehr , Alexander Warstadt , Ryan Cotterell

Gradients have been used to quantify feature importance in machine learning models. Unfortunately, in nonlinear deep networks, not only individual neurons but also the whole network can saturate, and as a result an important input feature…

Machine Learning · Computer Science 2016-11-16 Mukund Sundararajan , Ankur Taly , Qiqi Yan

Saliency methods interpret the prediction of a neural network by showing the importance of input elements for that prediction. A popular family of saliency methods utilize gradient information. In this work, we empirically show that two…

Machine Learning · Computer Science 2020-12-02 Ashkan Khakzar , Soroosh Baselizadeh , Nassir Navab

Gradient Smoothing is an efficient approach to reducing noise in gradient-based model explanation method. SmoothGrad adds Gaussian noise to mitigate much of these noise. However, the crucial hyper-parameter in this method, the variance…

Machine Learning · Computer Science 2025-10-23 Linjiang Zhou , Chao Ma , Zepeng Wang , Libing Wu , Xiaochuan Shi

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

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