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We present a novel class of convolutional neural networks (CNNs) for set functions, i.e., data indexed with the powerset of a finite set. The convolutions are derived as linear, shift-equivariant functions for various notions of shifts on…

Machine Learning · Computer Science 2024-06-21 Chris Wendler , Dan Alistarh , Markus Püschel

The Conditional Neural Process (CNP) family of models offer a promising direction to tackle few-shot problems by achieving better scalability and competitive predictive performance. However, the current CNP models only capture the overall…

Machine Learning · Computer Science 2022-12-02 Deep Shankar Pandey , Qi Yu

The translational equivariant nature of Convolutional Neural Networks (CNNs) is a reason for its great success in computer vision. However, networks do not enjoy more general equivariance properties such as rotation or scaling, ultimately…

Computer Vision and Pattern Recognition · Computer Science 2023-03-02 Zikai Sun , Thierry Blu

We propose a generalization of convolutional neural networks (CNNs) to irregular domains, through the use of a translation operator on a graph structure. In regular settings such as images, convolutional layers are designed by translating a…

Discrete Mathematics · Computer Science 2018-11-06 Bastien Pasdeloup , Vincent Gripon , Jean-Charles Vialatte , Dominique Pastor , Pascal Frossard

Recent advances in hardware and big data acquisition have accelerated the development of deep learning techniques. For an extended period of time, increasing the model complexity has led to performance improvements for various tasks.…

Machine Learning · Computer Science 2023-07-24 Damian Owerko , Charilaos I. Kanatsoulis , Jennifer Bondarchuk , Donald J. Bucci , Alejandro Ribeiro

Conditional Neural Processes (CNPs; Garnelo et al., 2018a) are meta-learning models which leverage the flexibility of deep learning to produce well-calibrated predictions and naturally handle off-the-grid and missing data. CNPs scale to…

Machine Learning · Statistics 2022-06-14 Stratis Markou , James Requeima , Wessel P. Bruinsma , Anna Vaughan , Richard E. Turner

The purpose of this short and simple note is to clarify a common misconception about convolutional neural networks (CNNs). CNNs are made up of convolutional layers which are shift equivariant due to weight sharing. However, convolutional…

Computer Vision and Pattern Recognition · Computer Science 2023-12-08 Nick McGreivy , Ammar Hakim

Geometric deep learning refers to the scenario in which the symmetries of a dataset are used to constrain the parameter space of a neural network and thus, improve their trainability and generalization. Recently this idea has been…

Quantum Physics · Physics 2024-11-19 Sreetama Das , Stefano Martina , Filippo Caruso

Exploiting data invariances is crucial for efficient learning in both artificial and biological neural circuits. Understanding how neural networks can discover appropriate representations capable of harnessing the underlying symmetries of…

Disordered Systems and Neural Networks · Physics 2022-10-17 Alessandro Ingrosso , Sebastian Goldt

A fundamental problem in object recognition is the development of image representations that are invariant to common transformations such as translation, rotation, and small deformations. There are multiple hypotheses regarding the source…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Eric Kauderer-Abrams

Latent representations are used extensively for downstream tasks, such as visualization, interpolation or feature extraction of deep learning models. Invariant and equivariant neural networks are powerful and well-established models for…

Machine Learning · Computer Science 2025-01-16 Andreas Abildtrup Hansen , Anna Calissano , Aasa Feragen

Convolutional neural networks owe much of their success to hard-coding translation equivariance. Quantum convolutional neural networks (QCNNs) have been proposed as near-term quantum analogues, but the relevant notion of translation depends…

Quantum Physics · Physics 2026-04-28 Dmitry Chirkov , Igor Lobanov

In this work, we focus on using convolution neural networks (CNN) to perform object recognition on the event data. In object recognition, it is important for a neural network to be robust to the variations of the data during testing. For…

Computer Vision and Pattern Recognition · Computer Science 2019-12-02 Ziyun Wang

Deep learning has been widely applied and brought breakthroughs in speech recognition, computer vision, and many other domains. The involved deep neural network architectures and computational issues have been well studied in machine…

Machine Learning · Computer Science 2018-07-23 Ding-Xuan Zhou

We introduce the Convolutional Set Transformer (CST), a novel neural architecture designed to process image sets of arbitrary cardinality that are visually heterogeneous yet share high-level semantics - such as a common category, scene, or…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Federico Chinello , Giacomo Boracchi

Convolutional Neural Networks (CNN) offer state of the art performance in various computer vision tasks. Many of those tasks require different subtypes of affine invariances (scale, rotational, translational) to image transformations.…

Computer Vision and Pattern Recognition · Computer Science 2023-10-13 Facundo Manuel Quiroga , Franco Ronchetti , Laura Lanzarini , Aurelio Fernandez-Bariviera

Convolutional Neural Networks, as most artificial neural networks, are commonly viewed as methods different in essence from kernel-based methods. We provide a systematic translation of Convolutional Neural Networks (ConvNets) into their…

Machine Learning · Statistics 2019-03-20 Corinne Jones , Vincent Roulet , Zaid Harchaoui

Transfer learning for feature extraction can be used to exploit deep representations in contexts where there is very few training data, where there are limited computational resources, or when tuning the hyper-parameters needed for training…

Neural networks in the real domain have been studied for a long time and achieved promising results in many vision tasks for recent years. However, the extensions of the neural network models in other number fields and their potential…

Computer Vision and Pattern Recognition · Computer Science 2019-03-05 Xuanyu Zhu , Yi Xu , Hongteng Xu , Changjian Chen

Deep learning refers to the shining branch of machine learning that is based on learning levels of representations. Convolutional Neural Networks (CNN) is one kind of deep neural network. It can study concurrently. In this article, we gave…

Computer Vision and Pattern Recognition · Computer Science 2015-06-05 Tianyi Liu , Shuangsang Fang , Yuehui Zhao , Peng Wang , Jun Zhang