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Invertible neural networks (INNs) represent an important class of deep neural network architectures that have been widely used in several applications. The universal approximation properties of INNs have also been established recently.…

Numerical Analysis · Mathematics 2023-08-21 Bangti Jin , Zehui Zhou , Jun Zou

A novel convolution neural network model, abbreviated NL-CNN is proposed, where nonlinear convolution is emulated in a cascade of convolution + nonlinearity layers. The code for its implementation and some trained models are made publicly…

Machine Learning · Computer Science 2021-02-03 Radu Dogaru , Ioana Dogaru

Due to their susceptibility to adversarial perturbations, neural networks (NNs) are hardly used in safety-critical applications. One measure of robustness to such perturbations in the input is the Lipschitz constant of the input-output map…

Machine Learning · Computer Science 2021-04-30 Patricia Pauli , Anne Koch , Julian Berberich , Paul Kohler , Frank Allgöwer

We introduce Larq Compute Engine, the world's fastest Binarized Neural Network (BNN) inference engine, and use this framework to investigate several important questions about the efficiency of BNNs and to design a new state-of-the-art BNN…

Machine Learning · Computer Science 2021-02-23 Tom Bannink , Arash Bakhtiari , Adam Hillier , Lukas Geiger , Tim de Bruin , Leon Overweel , Jelmer Neeven , Koen Helwegen

Recurrent neural networks are the foundation of many sequence-to-sequence models in machine learning, such as machine translation and speech synthesis. In contrast, applied quantum computing is in its infancy. Nevertheless there already…

Machine Learning · Computer Science 2020-10-01 Johannes Bausch

Lipschitz-based certification offers efficient, deterministic robustness guarantees but has struggled to scale in model size, training efficiency, and ImageNet performance. We introduce \emph{LipNeXt}, the first \emph{constraint-free} and…

Machine Learning · Computer Science 2026-01-27 Kai Hu , Haoqi Hu , Matt Fredrikson

Neural networks are increasingly employed to model, analyze and control non-linear dynamical systems ranging from physics to biology. Owing to their universal approximation capabilities, they regularly outperform state-of-the-art…

Dynamical Systems · Mathematics 2023-12-27 Alessandro Corbetta , Thomas Geert de Jong

Neural networks are typically sensitive to small input perturbations, leading to unexpected or brittle behaviour. We present RobustNeuralNetworks.jl: a Julia package for neural network models that are constructed to naturally satisfy a set…

Machine Learning · Computer Science 2025-10-01 Nicholas H. Barbara , Max Revay , Ruigang Wang , Jing Cheng , Ian R. Manchester

Control of complex systems involves both system identification and controller design. Deep neural networks have proven to be successful in many identification tasks, however, from model-based control perspective, these networks are…

Optimization and Control · Mathematics 2019-02-28 Yize Chen , Yuanyuan Shi , Baosen Zhang

The development and progress in sensor, communication and computing technologies have led to data rich environments. In such environments, data can easily be acquired not only from the monitored entities but also from the surroundings where…

Machine Learning · Computer Science 2023-01-13 Rashmi Dutta Baruah , Mario Muñoz Organero

Convolutional Neural Networks (CNNs) perform very well in image classification and object detection in recent years, but even the most advanced models have limited rotation invariance. Known solutions include the enhancement of training…

Computer Vision and Pattern Recognition · Computer Science 2022-02-28 Zongbo Hao , Tao Zhang , Mingwang Chen , Kaixu Zhou

Deep residual networks (ResNets) have demonstrated outstanding success in computer vision tasks, attributed to their ability to maintain gradient flow through deep architectures. Simultaneously, controlling the Lipschitz bound in neural…

Machine Learning · Computer Science 2025-03-03 Marius F. R. Juston , William R. Norris , Dustin Nottage , Ahmet Soylemezoglu

Input-Convex Neural Networks (ICNNs) are networks that guarantee convexity in their input-output mapping. These networks have been successfully applied for energy-based modelling, optimal transport problems and learning invariances. The…

Machine Learning · Computer Science 2023-12-21 Pieter-Jan Hoedt , Günter Klambauer

Learning continuously during all model lifetime is fundamental to deploy machine learning solutions robust to drifts in the data distribution. Advances in Continual Learning (CL) with recurrent neural networks could pave the way to a large…

Machine Learning · Computer Science 2021-08-03 Andrea Cossu , Antonio Carta , Vincenzo Lomonaco , Davide Bacciu

Learned inverse problem solvers exhibit remarkable performance in applications like image reconstruction tasks. These data-driven reconstruction methods often follow a two-step scheme. First, one trains the often neural network-based…

We investigate the effect of explicitly enforcing the Lipschitz continuity of neural networks with respect to their inputs. To this end, we provide a simple technique for computing an upper bound to the Lipschitz constant---for multiple…

Machine Learning · Statistics 2020-08-11 Henry Gouk , Eibe Frank , Bernhard Pfahringer , Michael J. Cree

The robustness of neural networks to adversarial examples has received great attention due to security implications. Despite various attack approaches to crafting visually imperceptible adversarial examples, little has been developed…

Machine Learning · Statistics 2018-02-01 Tsui-Wei Weng , Huan Zhang , Pin-Yu Chen , Jinfeng Yi , Dong Su , Yupeng Gao , Cho-Jui Hsieh , Luca Daniel

Convolutional neural networks (CNNs) have had great success in many real-world applications and have also been used to model visual processing in the brain. However, these networks are quite brittle - small changes in the input image can…

Neurons and Cognition · Quantitative Biology 2018-10-30 Brian Hu , Stefan Mihalas

Recent years have witnessed the great success of convolutional neural network (CNN) based models in the field of computer vision. CNN is able to learn hierarchically abstracted features from images in an end-to-end training manner. However,…

Computer Vision and Pattern Recognition · Computer Science 2017-08-16 Xin Li , Zequn Jie , Jiashi Feng , Changsong Liu , Shuicheng Yan

In-Context Learning (ICL) has emerged as a pivotal capability of auto-regressive large language models, yet it is hindered by a notable sensitivity to the ordering of context examples regardless of their mutual independence. To address this…

Computation and Language · Computer Science 2025-05-09 Lizhe Fang , Yifei Wang , Khashayar Gatmiry , Lei Fang , Yisen Wang