Response index: quantitative evaluation index of translational equivariance

P Yang, L Kong, M Liu, G Tang, L Dong, Y Zhao… - Applied …, 2023 - Springer
Translational equivariance, one of the properties of Convolutional neural networks (CNNs),
directly reflects the coherence of the influence of input at each position on the output. By …

Learning invariant representations for equivariant neural networks using orthogonal moments

J Singh, C Singh - 2022 International Joint Conference on …, 2022 - ieeexplore.ieee.org
The convolutional layers of standard convolutional neural networks (CNNs) are equivariant
to translation. However, the convolution and fully-connected layers are not equivariant or …

Reducing Parameters by Neuroevolution in CNN for Steering Angle Estimation

JD Velazco-Muñoz, HG Acosta-Mesa… - Mexican Conference on …, 2024 - Springer
Abstract Convolutional Neural Networks (CNNs) are becoming increasingly popular in
autonomous driving. Researchers are focused on optimizing these models to work on …

The lie derivative for measuring learned equivariance

N Gruver, M Finzi, M Goldblum, AG Wilson - arXiv preprint arXiv …, 2022 - arxiv.org
Equivariance guarantees that a model's predictions capture key symmetries in data. When
an image is translated or rotated, an equivariant model's representation of that image will …

A differential excitation based rotational invariance for convolutional neural networks

H Kandi, D Mishra, GRKS Subrahmanyam - Proceedings of the Tenth …, 2016 - dl.acm.org
Deep Learning (DL) methods extract complex set of features using architectures containing
hierarchical set of layers. The features so learned have high discriminative power and thus …

Measurement invariance investigation for performance of deep learning architectures

D Chen, Y Lu, CY Hsu - IEEE Access, 2022 - ieeexplore.ieee.org
Models can be compared against each other. Such comparison helps to find strengths and
weaknesses of different approaches and gives additional possibilities for model validation …

Learned equivariance in convolutional neural networks

T Motyka - 2022 - repository.tudelft.nl
Aside from developing methods to embed the equivariant priors into the architectures, one
can also study how the networks learn equivariant properties. In this work, we conduct a …

Rotation equivariance and invariance in convolutional neural networks

B Chidester, MN Do, J Ma - arXiv preprint arXiv:1805.12301, 2018 - arxiv.org
Performance of neural networks can be significantly improved by encoding known
invariance for particular tasks. Many image classification tasks, such as those related to …

[HTML][HTML] Pre-rotation Only at Inference-Stage: A Way to Rotation Invariance of Convolutional Neural Networks

Y Fan, P Zhang, J Han, D Liu, J Tang… - International Journal of …, 2024 - Springer
The popular convolutional neural networks (CNN) require data augmentation to achieve
rotation invariance. We propose an alternative mechanism, Pre-Rotation Only at Inference …

Invariance and Same-Equivariance Measures for Convolutional Neural Networks

FM Quiroga - CLEI Electronic Journal, 2021 - sedici.unlp.edu.ar
Neural networks are currently the state-of-the-art for many tasks.. Invariance and
sameequivariance are two fundamental properties to characterize how a model reacts to …