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Training deep neural networks is known to require a large number of training samples. However, in many applications only few training samples are available. In this work, we tackle the issue of training neural networks for classification…

Machine Learning · Computer Science 2017-12-25 Soufiane Belharbi , Clément Chatelain , Romain Hérault , Sébastien Adam

Equivariance w.r.t. geometric transformations in neural networks improves data efficiency, parameter efficiency and robustness to out-of-domain perspective shifts. When equivariance is not designed into a neural network, the network can…

Computer Vision and Pattern Recognition · Computer Science 2023-04-10 Robert-Jan Bruintjes , Tomasz Motyka , Jan van Gemert

Understanding how deep neural networks learn representations remains a central challenge in machine learning theory. In this work, we propose a feature-centric framework for analyzing neural network training by relating weight updates to…

Machine Learning · Computer Science 2026-05-08 Taehun Cha , Daniel Beaglehole , Adityanarayanan Radhakrishnan , Donghun Lee

Neural networks have become ubiquitous tools for solving signal and image processing problems, and they often outperform standard approaches. Nevertheless, training neural networks is a challenging task in many applications. The prevalent…

Optimization and Control · Mathematics 2022-10-28 Patrick L. Combettes , Jean-Christophe Pesquet , Audrey Repetti

Unsupervised approaches for learning representations invariant to common transformations are used quite often for object recognition. Learning invariances makes models more robust and practical to use in real-world scenarios. Since data…

Machine Learning · Computer Science 2024-02-27 Gauri Gupta , Ritvik Kapila , Keshav Gupta , Ramesh Raskar

While scale-invariant modeling has substantially boosted the performance of visual recognition tasks, it remains largely under-explored in deep networks based image restoration. Naively applying those scale-invariant techniques (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2019-12-20 Yuchen Fan , Jiahui Yu , Ding Liu , Thomas S. Huang

When applied to high-dimensional datasets, feature selection algorithms might still leave dozens of irrelevant variables in the dataset. Therefore, even after feature selection has been applied, classifiers must be prepared to the presence…

Machine Learning · Computer Science 2018-11-21 Danilo Vasconcellos Vargas , Hirotaka Takano , Junichi Murata

In recent years, deep neural networks have known a wide success in various application domains. However, they require important computational and memory resources, which severely hinders their deployment, notably on mobile devices or for…

Computer Vision and Pattern Recognition · Computer Science 2021-12-16 Nathan Hubens , Matei Mancas , Bernard Gosselin , Marius Preda , Titus Zaharia

Place recognition is one of the most challenging problems in computer vision, and has become a key part in mobile robotics and autonomous driving applications for performing loop closure in visual SLAM systems. Moreover, the difficulty of…

Computer Vision and Pattern Recognition · Computer Science 2015-05-28 Ruben Gomez-Ojeda , Manuel Lopez-Antequera , Nicolai Petkov , Javier Gonzalez-Jimenez

We develop a theory of transfer learning in infinitely wide neural networks under gradient flow that quantifies when pretraining on a source task improves generalization on a target task. We analyze both (i) fine-tuning, when the downstream…

Machine Learning · Computer Science 2026-02-25 Clarissa Lauditi , Blake Bordelon , Cengiz Pehlevan

Many applications require the robustness, or ideally the invariance, of a neural network to certain transformations of input data. Most commonly, this requirement is addressed by either augmenting the training data, using adversarial…

Computer Vision and Pattern Recognition · Computer Science 2021-06-21 Kanchana Vaishnavi Gandikota , Jonas Geiping , Zorah Lähner , Adam Czapliński , Michael Moeller

We present a novel approach for training deep neural networks in a Bayesian way. Classical, i.e. non-Bayesian, deep learning has two major drawbacks both originating from the fact that network parameters are considered to be deterministic.…

Machine Learning · Statistics 2019-03-11 Konstantin Posch , Jan Steinbrener , Jürgen Pilz

Deep neural networks have achieved great success in the last decade. When designing neural networks to handle the ubiquitous geometric data such as point clouds and graphs, it is critical that the model can maintain invariance towards…

Computer Vision and Pattern Recognition · Computer Science 2025-10-28 Ziwei Zhang , Xin Wang , Zeyang Zhang , Peng Cui , Wenwu Zhu

We study the recently introduced stability training as a general-purpose method to increase the robustness of deep neural networks against input perturbations. In particular, we explore its use as an alternative to data augmentation and…

Machine Learning · Computer Science 2019-11-14 Jan Laermann , Wojciech Samek , Nils Strodthoff

The effectiveness of Convolutional Neural Networks (CNNs) has been substantially attributed to their built-in property of translation equivariance. However, CNNs do not have embedded mechanisms to handle other types of transformations. In…

Computer Vision and Pattern Recognition · Computer Science 2020-02-07 Ivan Sosnovik , Michał Szmaja , Arnold Smeulders

Polynomial regression is a recurrent problem with a large number of applications. In computer vision it often appears in motion analysis. Whatever the application, standard methods for regression of polynomial models tend to deliver biased…

Computer Vision and Pattern Recognition · Computer Science 2018-05-24 Juan-Manuel Perez-Rua , Tomas Crivelli , Patrick Bouthemy , Patrick Perez

This work attempts to interpret modern deep (convolutional) networks from the principles of rate reduction and (shift) invariant classification. We show that the basic iterative gradient ascent scheme for optimizing the rate reduction of…

Machine Learning · Computer Science 2020-10-30 Kwan Ho Ryan Chan , Yaodong Yu , Chong You , Haozhi Qi , John Wright , Yi Ma

Network-based transfer learning allows the reuse of deep learning features with limited data, but the resulting models can be unnecessarily large. Although network pruning can improve inference efficiency, existing algorithms usually…

Computer Vision and Pattern Recognition · Computer Science 2023-12-22 Ken C. L. Wong , Satyananda Kashyap , Mehdi Moradi

We present a neighborhood similarity layer (NSL) which induces appearance invariance in a network when used in conjunction with convolutional layers. We are motivated by the observation that, even though convolutional networks have low…

Computer Vision and Pattern Recognition · Computer Science 2017-07-05 Tolga Tasdizen , Mehdi Sajjadi , Mehran Javanmardi , Nisha Ramesh

While successful for various computer vision tasks, deep neural networks have shown to be vulnerable to texture style shifts and small perturbations to which humans are robust. In this work, we show that the robustness of neural networks…

Computer Vision and Pattern Recognition · Computer Science 2021-05-04 Zhenlin Xu , Deyi Liu , Junlin Yang , Colin Raffel , Marc Niethammer