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Saliency maps have been widely used to interpret the decisions of neural network classifiers and discover phenomena from their learned functions. However, standard gradient-based maps are frequently observed to be highly sensitive to the…

Computer Vision and Pattern Recognition · Computer Science 2025-03-12 Zhuorui Ye , Farzan Farnia

Saliency methods provide post-hoc model interpretation by attributing input features to the model outputs. Current methods mainly achieve this using a single input sample, thereby failing to answer input-independent inquiries about the…

Computer Vision and Pattern Recognition · Computer Science 2023-04-03 Naveed Akhtar , Mohammad A. A. K. Jalwana

Deep neural networks (DNNs) have had many successes, but they suffer from two major issues: (1) a vulnerability to adversarial examples and (2) a tendency to elude human interpretation. Interestingly, recent empirical and theoretical…

Machine Learning · Computer Science 2020-12-07 Adam Noack , Isaac Ahern , Dejing Dou , Boyang Li

Forward gradient learning computes a noisy directional gradient and is a biologically plausible alternative to backprop for learning deep neural networks. However, the standard forward gradient algorithm, when applied naively, suffers from…

Machine Learning · Computer Science 2023-03-03 Mengye Ren , Simon Kornblith , Renjie Liao , Geoffrey Hinton

Integrated Gradients has become a popular method for post-hoc model interpretability. De-spite its popularity, the composition and relative impact of different regions of the integral path are not well understood. We explore these effects…

Computer Vision and Pattern Recognition · Computer Science 2020-10-27 Vivek Miglani , Narine Kokhlikyan , Bilal Alsallakh , Miguel Martin , Orion Reblitz-Richardson

Convolutional neural networks (CNNs) offer great machine learning performance over a range of applications, but their operation is hard to interpret, even for experts. Various explanation algorithms have been proposed to address this issue,…

Human-Computer Interaction · Computer Science 2020-02-04 Ahmed Alqaraawi , Martin Schuessler , Philipp Weiß , Enrico Costanza , Nadia Berthouze

An open question in the Deep Learning community is why neural networks trained with Gradient Descent generalize well on real datasets even though they are capable of fitting random data. We propose an approach to answering this question…

Machine Learning · Computer Science 2020-02-26 Satrajit Chatterjee

Understanding the internal representations and decision mechanisms of deep neural networks remains a critical open challenge. While existing interpretability methods often identify influential input regions, they may not elucidate how a…

Machine Learning · Computer Science 2025-06-12 Farzaneh Mahdisoltani , Saeed Mahdisoltani , Roger B. Grosse , David J. Fleet

Deep neural network training involves both forward propagation (from features through logits to loss) and backward propagation (from loss through gradients to parameter updates). While perturbations along the forward chain, including…

Machine Learning · Computer Science 2026-05-29 Hua Li

We introduce a saliency-based distortion layer for convolutional neural networks that helps to improve the spatial sampling of input data for a given task. Our differentiable layer can be added as a preprocessing block to existing task…

Computer Vision and Pattern Recognition · Computer Science 2018-09-11 Adrià Recasens , Petr Kellnhofer , Simon Stent , Wojciech Matusik , Antonio Torralba

Prior works have shown that neural networks can be heavily pruned while preserving performance, but the impact of pruning on model interpretability remains unclear. In this work, we investigate how magnitude-based pruning followed by…

Computer Vision and Pattern Recognition · Computer Science 2025-10-07 Sanish Suwal , Dipkamal Bhusal , Michael Clifford , Nidhi Rastogi

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

We introduce a new technique for gradient normalization during neural network training. The gradients are rescaled during the backward pass using normalization layers introduced at certain points within the network architecture. These…

Machine Learning · Computer Science 2021-06-18 Alejandro Cabana , Luis F. Lago-Fernández

Optimization with noisy gradients has become ubiquitous in statistics and machine learning. Reparameterization gradients, or gradient estimates computed via the "reparameterization trick," represent a class of noisy gradients often used in…

Machine Learning · Statistics 2017-05-23 Andrew C. Miller , Nicholas J. Foti , Alexander D'Amour , Ryan P. Adams

Interpreting complex neural networks is crucial for understanding their decision-making processes, particularly in applications where transparency and accountability are essential. This proposed method addresses this need by focusing on…

Neural and Evolutionary Computing · Computer Science 2024-12-10 Deepshikha Bhati , Fnu Neha , Md Amiruzzaman , Angela Guercio , Deepak Kumar Shukla , Ben Ward

Regularizing the gradient norm of the output of a neural network with respect to its inputs is a powerful technique, rediscovered several times. This paper presents evidence that gradient regularization can consistently improve…

Machine Learning · Computer Science 2018-05-28 Dániel Varga , Adrián Csiszárik , Zsolt Zombori

Proper regularization is critical for speeding up training, improving generalization performance, and learning compact models that are cost efficient. We propose and analyze regularized gradient descent algorithms for learning shallow…

Machine Learning · Computer Science 2018-06-08 Samet Oymak

Saliency maps have proven to be a highly efficacious approach for explicating the decisions of Convolutional Neural Networks. However, extant methodologies predominantly rely on gradients, which constrain their ability to explicate complex…

Computer Vision and Pattern Recognition · Computer Science 2024-01-17 Zijian Ying , Qianmu Li , Zhichao Lian , Jun Hou , Tong Lin , Tao Wang

Stochastic neurons can be useful for a number of reasons in deep learning models, but in many cases they pose a challenging problem: how to estimate the gradient of a loss function with respect to the input of such stochastic neurons, i.e.,…

Machine Learning · Computer Science 2013-05-15 Yoshua Bengio

Decision trees are ubiquitous in machine learning for their ease of use and interpretability. Yet, these models are not typically employed in reinforcement learning as they cannot be updated online via stochastic gradient descent. We…

Machine Learning · Computer Science 2020-06-29 Andrew Silva , Taylor Killian , Ivan Dario Jimenez Rodriguez , Sung-Hyun Son , Matthew Gombolay