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The layered structure of deep neural networks hinders the use of numerous analysis tools and thus the development of its interpretability. Inspired by the success of functional brain networks, we propose a novel framework for…

Machine Learning · Computer Science 2022-05-25 Ben Zhang , Zhetong Dong , Junsong Zhang , Hongwei Lin

Verifying robustness of neural networks given a specified threat model is a fundamental yet challenging task. While current verification methods mainly focus on the $\ell_p$-norm threat model of the input instances, robustness verification…

Machine Learning · Computer Science 2020-06-16 Jeet Mohapatra , Tsui-Wei , Weng , Pin-Yu Chen , Sijia Liu , Luca Daniel

With the surge of inexpensive computational and memory resources, neural networks (NNs) have experienced an unprecedented growth in architectural and computational complexity. Introducing NNs to resource-constrained devices enables…

Machine Learning · Computer Science 2021-04-22 Lennart Heim , Andreas Biri , Zhongnan Qu , Lothar Thiele

In this paper, a robust optimization framework is developed to train shallow neural networks based on reachability analysis of neural networks. To characterize noises of input data, the input training data is disturbed in the description of…

Machine Learning · Computer Science 2021-07-28 Yejiang Yang , Weiming Xiang

Deep neural networks have been applied in many applications exhibiting extraordinary abilities in the field of computer vision. However, complex network architectures challenge efficient real-time deployment and require significant…

Computer Vision and Pattern Recognition · Computer Science 2021-06-16 Tailin Liang , John Glossner , Lei Wang , Shaobo Shi , Xiaotong Zhang

We introduce a quantization-aware training algorithm that guarantees avoiding numerical overflow when reducing the precision of accumulators during inference. We leverage weight normalization as a means of constraining parameters during…

Machine Learning · Computer Science 2023-02-01 Ian Colbert , Alessandro Pappalardo , Jakoba Petri-Koenig

This paper presents a new look at the neural network (NN) robustness problem, from the point of view of graph theory analysis, specifically graph curvature. Graph curvature (e.g., Ricci curvature) has been used to analyze system dynamics…

Machine Learning · Computer Science 2024-12-17 Shuhang Tan , Jayson Sia , Paul Bogdan , Radoslav Ivanov

Neural networks are an indispensable model class for many complex learning tasks. Despite the popularity and importance of neural networks and many different established techniques from literature for stabilization and robustification of…

Machine Learning · Statistics 2022-11-21 Tino Werner

As neural networks have become more powerful, there has been a rising desire to deploy them in the real world; however, the power and accuracy of neural networks is largely due to their depth and complexity, making them difficult to deploy,…

Machine Learning · Computer Science 2023-01-19 Olivia Weng

The primary objective of learning methods is generalization. Classic uniform generalization bounds, which rely on VC-dimension or Rademacher complexity, fail to explain the significant attribute that over-parameterized models in deep…

Machine Learning · Computer Science 2025-03-07 Lijia Yu , Yibo Miao , Yifan Zhu , Xiao-Shan Gao , Lijun Zhang

Quantizing neural networks to low-bitwidth is important for model deployment on resource-limited edge hardware. Although a quantized network has a smaller model size and memory footprint, it is fragile to adversarial attacks. However, few…

Machine Learning · Computer Science 2022-10-18 Chaofan Tao , Ngai Wong

With neural networks being used to control safety-critical systems, they increasingly have to be both accurate (in the sense of matching inputs to outputs) and robust. However, these two properties are often at odds with each other and a…

Systems and Control · Electrical Eng. & Systems 2024-05-30 Ross Drummond , Chris Guiver , Matthew C. Turner

The use of low-bit quantization has emerged as an indispensable technique for enabling the efficient training of large-scale models. Despite its widespread empirical success, a rigorous theoretical understanding of its impact on learning…

Machine Learning · Statistics 2026-02-17 Dechen Zhang , Junwei Su , Difan Zou

While adversarial robustness and generalization have individually received substantial attention in the recent literature on quantum machine learning, their interplay is much less explored. In this chapter, we address this interplay for…

Quantum Physics · Physics 2025-06-11 Julian Berberich , Tobias Fellner , Christian Holm

Curvature influences generalization, robustness, and how reliably neural networks respond to small input perturbations. Existing sharpness metrics are typically defined in parameter space (e.g., Hessian eigenvalues) and can be expensive,…

Machine Learning · Computer Science 2025-11-04 Jacob Poschl

Recent machine learning methods use increasingly large deep neural networks to achieve state of the art results in various tasks. The gains in performance come at the cost of a substantial increase in computation and storage requirements.…

Machine Learning · Computer Science 2019-03-26 Yoni Choukroun , Eli Kravchik , Fan Yang , Pavel Kisilev

Quantization is an essential step in the efficient deployment of deep learning models and as such is an increasingly popular research topic. An important practical aspect that is not addressed in the current literature is how to analyze and…

Machine Learning · Computer Science 2020-12-16 Shachar Gluska , Mark Grobman

Quantum neural networks (QNNs) play a pivotal role in addressing complex tasks within quantum machine learning, analogous to classical neural networks in deep learning. Ensuring consistent performance across diverse datasets is crucial for…

Quantum Physics · Physics 2025-01-28 Chenghong Zhu , Hongshun Yao , Yingjian Liu , Xin Wang

Quantization for deep neural networks have afforded models for edge devices that use less on-board memory and enable efficient low-power inference. In this paper, we present a comparison of model-parameter driven quantization approaches…

Computer Vision and Pattern Recognition · Computer Science 2019-10-14 Prateeth Nayak , David Zhang , Sek Chai

Recurrent neural networks have achieved excellent performance in many applications. However, on portable devices with limited resources, the models are often too large to deploy. For applications on the server with large scale concurrent…

Machine Learning · Computer Science 2018-02-02 Chen Xu , Jianqiang Yao , Zhouchen Lin , Wenwu Ou , Yuanbin Cao , Zhirong Wang , Hongbin Zha