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Related papers: Sensitivity Analysis of Deep Neural Networks

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Neural networks (NNs) are inherently multidimensional classifiers that learn complex, non-linear relationships among input observables. While their flexibility enables unprecedented performance in high-energy physics (HEP) analyses, it also…

We scrutinize the structural and operational aspects of deep learning models, particularly focusing on the nuances of learnable parameters (weight) statistics, distribution, node interaction, and visualization. By establishing correlations…

Machine Learning · Computer Science 2024-08-22 Ziwei Zheng , Huizhi Liang , Vaclav Snasel , Vito Latora , Panos Pardalos , Giuseppe Nicosia , Varun Ojha

Mean field theory has been successfully used to analyze deep neural networks (DNN) in the infinite size limit. Given the finite size of realistic DNN, we utilize the large deviation theory and path integral analysis to study the deviation…

Disordered Systems and Neural Networks · Physics 2020-02-21 Bo Li , David Saad

Deep Neural Networks (DNNs), with its promising performance, are being increasingly used in safety critical applications such as autonomous driving, cancer detection, and secure authentication. With growing importance in deep learning,…

Machine Learning · Computer Science 2019-11-19 Senthil Mani , Anush Sankaran , Srikanth Tamilselvam , Akshay Sethi

Bayesian neural networks (BNNs) augment deep networks with uncertainty quantification by Bayesian treatment of the network weights. However, such models face the challenge of Bayesian inference in a high-dimensional and usually…

Machine Learning · Computer Science 2021-03-30 Zhijie Deng , Yucen Luo , Jun Zhu , Bo Zhang

Deep neural networks (DNNs) are powerful machine learning models and have succeeded in various artificial intelligence tasks. Although various architectures and modules for the DNNs have been proposed, selecting and designing the…

Neural and Evolutionary Computing · Computer Science 2018-01-24 Shinichi Shirakawa , Yasushi Iwata , Youhei Akimoto

Deep Neural Networks (DNNs) have gained immense success in cognitive applications and greatly pushed today's artificial intelligence forward. The biggest challenge in executing DNNs is their extremely data-extensive computations. The…

Computer Vision and Pattern Recognition · Computer Science 2019-09-10 Fuqiang Liu , C. Liu

Training a deep neural network (DNN) often involves stochastic optimization, which means each run will produce a different model. Several works suggest this variability is negligible when models have the same performance, which in the case…

Machine Learning · Statistics 2023-10-03 Sinjini Banerjee , Reilly Cannon , Tim Marrinan , Tony Chiang , Anand D. Sarwate

The use of Deep Neural Network (DNN) models in risk-based decision-making has attracted extensive attention with broad applications in medical, finance, manufacturing, and quality control. To mitigate prediction-related risks in decision…

Machine Learning · Statistics 2023-10-11 Maryam Kheirandish , Shengfan Zhang , Donald G. Catanzaro , Valeriu Crudu

Deep neural networks (DNNs) have become ubiquitous thanks to their remarkable ability to model complex patterns across various domains such as computer vision, speech recognition, robotics, etc. While large DNN models are often more…

Machine Learning · Computer Science 2025-11-18 Omkar Shende , Gayathri Ananthanarayanan , Marcello Traiola

Techniques for understanding the functioning of complex machine learning models are becoming increasingly popular, not only to improve the validation process, but also to extract new insights about the data via exploratory analysis. Though…

Machine Learning · Statistics 2018-11-02 Jayaraman J. Thiagarajan , Irene Kim , Rushil Anirudh , Peer-Timo Bremer

While deep neural networks (DNN) have become an effective computational tool, the prediction results are often criticized by the lack of interpretability, which is essential in many real-world applications such as health informatics.…

Computer Vision and Pattern Recognition · Computer Science 2018-05-29 Mengnan Du , Ninghao Liu , Qingquan Song , Xia Hu

Studying the invertibility of deep neural networks (DNNs) provides a principled approach to better understand the behavior of these powerful models. Despite being a promising diagnostic tool, a consistent theory on their invertibility is…

Machine Learning · Computer Science 2018-06-28 Jens Behrmann , Sören Dittmer , Pascal Fernsel , Peter Maaß

Deep neural networks provide flexible frameworks for learning data representations and functions relating data to other properties and are often claimed to achieve 'super-human' performance in inferring relationships between input data and…

Materials Science · Physics 2021-05-26 Keith T. Butler , Manh Duc Le , Jeyarajan Thiyagalingam , Toby G. Perring

Understanding the flow of information in Deep Neural Networks (DNNs) is a challenging problem that has gain increasing attention over the last few years. While several methods have been proposed to explain network predictions, there have…

Machine Learning · Computer Science 2018-03-08 Marco Ancona , Enea Ceolini , Cengiz Öztireli , Markus Gross

Redundancy in deep neural network (DNN) models has always been one of their most intriguing and important properties. DNNs have been shown to overparameterize, or extract a lot of redundant features. In this work, we explore the impact of…

Machine Learning · Computer Science 2019-01-31 Babajide O. Ayinde , Tamer Inanc , Jacek M. Zurada

In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo

This paper proposes a sensitivity analysis framework based on set valued mapping for deep neural networks (DNN) to understand and compute how the solutions (model weights) of DNN respond to perturbations in the training data. As a DNN may…

Machine Learning · Computer Science 2024-12-17 Xin Wang , Feilong Wang , Xuegang Ban

The vulnerability to slight input perturbations is a worrying yet intriguing property of deep neural networks (DNNs). Despite many previous works studying the reason behind such adversarial behavior, the relationship between the…

Machine Learning · Statistics 2019-06-07 Yujun Shi , Benben Liao , Guangyong Chen , Yun Liu , Ming-Ming Cheng , Jiashi Feng

A deep neural network (DNN) with piecewise linear activations can partition the input space into numerous small linear regions, where different linear functions are fitted. It is believed that the number of these regions represents the…

Machine Learning · Computer Science 2020-04-30 Xiao Zhang , Dongrui Wu