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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…

机器学习 · 计算机科学 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.…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

信号处理 · 电气工程与系统科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

机器学习 · 统计学 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…

机器学习 · 统计学 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…

机器学习 · 统计学 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…

图像与视频处理 · 电气工程与系统科学 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…

机器学习 · 统计学 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…

机器学习 · 计算机科学 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…

机器学习 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 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…

计算机视觉与模式识别 · 计算机科学 2016-10-26 Michael Blot , Matthieu Cord , Nicolas Thome