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In this paper, we investigate properties and limitations of invariance learned by neural networks from the data compared to the genuine invariance achieved through invariant weight-tying. To do so, we adopt a group theoretical perspective…

Machine Learning · Computer Science 2023-08-09 Artem Moskalev , Anna Sepliarskaia , Erik J. Bekkers , Arnold Smeulders

Designing learning systems which are invariant to certain data transformations is critical in machine learning. Practitioners can typically enforce a desired invariance on the trained model through the choice of a network architecture, e.g.…

Machine Learning · Computer Science 2022-10-26 Cédric Rommel , Thomas Moreau , Alexandre Gramfort

Learning invariant representations is an important problem in machine learning and pattern recognition. In this paper, we present a novel framework of transformation-invariant feature learning by incorporating linear transformations into…

Machine Learning · Computer Science 2012-07-03 Kihyuk Sohn , Honglak Lee

Convolutional neural networks have shown remarkable performance in recent years on various computer vision problems. However, the traditional convolutional neural network architecture lacks a critical property: shift equivariance and…

Computer Vision and Pattern Recognition · Computer Science 2025-11-27 Quentin Gabot , Teck-Yian Lim , Jérémy Fix , Joana Frontera-Pons , Chengfang Ren , Jean-Philippe Ovarlez

Achieving rotation invariance in deep neural networks without relying on data has always been a hot research topic. Intrinsic rotation invariance can enhance the model's feature representation capability, enabling better performance in…

Computer Vision and Pattern Recognition · Computer Science 2024-04-18 Hanlin Mo , Guoying Zhao

Radio spectrum monitoring in contested environments motivates the need for reliable automatic signal classification technology. Prior work highlights deep learning as a promising approach, but existing models depend on brute-force Doppler…

Signal Processing · Electrical Eng. & Systems 2025-11-19 Avi Bagchi , Dwight Hutchenson

Deep convolutional neural networks trained for image object categorization have shown remarkable similarities with representations found across the primate ventral visual stream. Yet, artificial and biological networks still exhibit…

Computer Vision and Pattern Recognition · Computer Science 2019-06-12 Alex Hernández-García , Peter König , Tim C. Kietzmann

Deep convolutional neural networks (CNN) have shown their promise as a universal representation for recognition. However, global CNN activations lack geometric invariance, which limits their robustness for classification and matching of…

Computer Vision and Pattern Recognition · Computer Science 2014-09-10 Yunchao Gong , Liwei Wang , Ruiqi Guo , Svetlana Lazebnik

One of basic difficulties of machine learning is handling unknown rotations of objects, for example in image recognition. A related problem is evaluation of similarity of shapes, for example of two chemical molecules, for which direct…

Machine Learning · Computer Science 2018-01-04 Jarek Duda

An important goal in visual recognition is to devise image representations that are invariant to particular transformations. In this paper, we address this goal with a new type of convolutional neural network (CNN) whose invariance is…

Computer Vision and Pattern Recognition · Computer Science 2015-01-08 Julien Mairal , Piotr Koniusz , Zaid Harchaoui , Cordelia Schmid

Training a Convolutional Neural Network (CNN) to be robust against rotation has mostly been done with data augmentation. In this paper, another progressive vision of research direction is highlighted to encourage less dependence on data…

Computer Vision and Pattern Recognition · Computer Science 2021-10-22 Sungwon Hwang , Hyungtae Lim , Hyun Myung

Performance of neural networks can be significantly improved by encoding known invariance for particular tasks. Many image classification tasks, such as those related to cellular imaging, exhibit invariance to rotation. We present a novel…

Machine Learning · Statistics 2018-06-01 Benjamin Chidester , Minh N. Do , Jian Ma

We introduce a simple permutation equivariant layer for deep learning with set structure.This type of layer, obtained by parameter-sharing, has a simple implementation and linear-time complexity in the size of each set. We use deep…

Machine Learning · Statistics 2017-02-27 Siamak Ravanbakhsh , Jeff Schneider , Barnabas Poczos

Many supervised learning problems involve high-dimensional data such as images, text, or graphs. In order to make efficient use of data, it is often useful to leverage certain geometric priors in the problem at hand, such as invariance to…

Machine Learning · Statistics 2021-11-08 Alberto Bietti , Luca Venturi , Joan Bruna

Tomographic image reconstruction is relevant for many medical imaging modalities including X-ray, ultrasound (US) computed tomography (CT) and photoacoustics, for which the access to full angular range tomographic projections might be not…

Image and Video Processing · Electrical Eng. & Systems 2019-06-14 Valery Vishnevskiy , Richard Rau , Orcun Goksel

We seek to improve deep neural networks by generalizing the pooling operations that play a central role in current architectures. We pursue a careful exploration of approaches to allow pooling to learn and to adapt to complex and variable…

Machine Learning · Statistics 2015-10-13 Chen-Yu Lee , Patrick W. Gallagher , Zhuowen Tu

Learning representations that capture the underlying data generating process is a key problem for data efficient and robust use of neural networks. One key property for robustness which the learned representation should capture and which…

Machine Learning · Computer Science 2022-06-24 Mathieu Chevalley , Charlotte Bunne , Andreas Krause , Stefan Bauer

Using established principles from Statistics and Information Theory, we show that invariance to nuisance factors in a deep neural network is equivalent to information minimality of the learned representation, and that stacking layers and…

Machine Learning · Computer Science 2018-06-29 Alessandro Achille , Stefano Soatto

Normalization techniques have become a basic component in modern convolutional neural networks (ConvNets). In particular, many recent works demonstrate that promoting the orthogonality of the weights helps train deep models and improve…

Computer Vision and Pattern Recognition · Computer Science 2022-01-05 Sheng Liu , Xiao Li , Yuexiang Zhai , Chong You , Zhihui Zhu , Carlos Fernandez-Granda , Qing Qu

Convolutional neural networks (CNN) are widely used in computer vision, especially in image classification. However, the way in which information and invariance properties are encoded through in deep CNN architectures is still an open…

Computer Vision and Pattern Recognition · Computer Science 2016-10-26 Michael Blot , Matthieu Cord , Nicolas Thome