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This paper challenges the prevailing view that convolutional neural network (CNN) filters become increasingly specialized in deeper layers. Motivated by recent observations of clusterable repeating patterns in depthwise separable CNNs…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Zahra Babaiee , Peyman M. Kiasari , Daniela Rus , Radu Grosu

Deep convolutional networks have proven to be very successful in learning task specific features that allow for unprecedented performance on various computer vision tasks. Training of such networks follows mostly the supervised learning…

Machine Learning · Computer Science 2015-06-22 Alexey Dosovitskiy , Philipp Fischer , Jost Tobias Springenberg , Martin Riedmiller , Thomas Brox

Graph Neural Networks (GNNs) are powerful tools for learning on structured data, yet the relationship between their expressivity and predictive performance remains unclear. We introduce a family of premetrics that capture different degrees…

Machine Learning · Computer Science 2025-05-19 Sohir Maskey , Raffaele Paolino , Fabian Jogl , Gitta Kutyniok , Johannes F. Lutzeyer

The question of whether deep neural networks are good at generalising beyond their immediate training experience is of critical importance for learning-based approaches to AI. Here, we consider tests of out-of-sample generalisation that…

Artificial Intelligence · Computer Science 2020-02-20 Felix Hill , Andrew Lampinen , Rosalia Schneider , Stephen Clark , Matthew Botvinick , James L. McClelland , Adam Santoro

A major challenge in the use of neural networks both for modeling human cognitive function and for artificial intelligence is the design of systems with the capacity to efficiently learn functions that support radical generalization. At the…

Machine Learning · Computer Science 2025-07-17 Cutter Dawes , Simon Segert , Kamesh Krishnamurthy , Jonathan D. Cohen

Generalization capability to unseen domains is crucial for machine learning models when deploying to real-world conditions. We investigate the challenging problem of domain generalization, i.e., training a model on multi-domain source data…

Computer Vision and Pattern Recognition · Computer Science 2019-10-31 Qi Dou , Daniel C. Castro , Konstantinos Kamnitsas , Ben Glocker

For many evaluation metrics commonly used as benchmarks for unconditional image generation, trivially memorizing the training set attains a better score than models which are considered state-of-the-art; we consider this problematic. We…

Machine Learning · Computer Science 2020-01-14 Ishaan Gulrajani , Colin Raffel , Luke Metz

A well-trained Convolutional Neural Network can easily be pruned without significant loss of performance. This is because of unnecessary overlap in the features captured by the network's filters. Innovations in network architecture such as…

Computer Vision and Pattern Recognition · Computer Science 2019-02-26 Aaditya Prakash , James Storer , Dinei Florencio , Cha Zhang

It is well-known that modern neural networks are vulnerable to adversarial examples. To mitigate this problem, a series of robust learning algorithms have been proposed. However, although the robust training error can be near zero via some…

Machine Learning · Computer Science 2022-10-17 Binghui Li , Jikai Jin , Han Zhong , John E. Hopcroft , Liwei Wang

The dependency of the generalization error of neural networks on model and dataset size is of critical importance both in practice and for understanding the theory of neural networks. Nevertheless, the functional form of this dependency…

Machine Learning · Computer Science 2019-12-23 Jonathan S. Rosenfeld , Amir Rosenfeld , Yonatan Belinkov , Nir Shavit

An open secret in contemporary machine learning is that many models work beautifully on standard benchmarks but fail to generalize outside the lab. This has been attributed to biased training data, which provide poor coverage over real…

Computer Vision and Pattern Recognition · Computer Science 2020-02-18 Ali Jahanian , Lucy Chai , Phillip Isola

Feature learning in neural networks is crucial for their expressive power and inductive biases, motivating various theoretical approaches. Some approaches describe network behavior after training through a change in kernel scale from…

Disordered Systems and Neural Networks · Physics 2025-05-29 Noa Rubin , Kirsten Fischer , Javed Lindner , David Dahmen , Inbar Seroussi , Zohar Ringel , Michael Krämer , Moritz Helias

We quantify the generalization of a convolutional neural network (CNN) trained to identify cars. First, we perform a series of experiments to train the network using one image dataset - either synthetic or from a camera - and then test on a…

Computer Vision and Pattern Recognition · Computer Science 2019-12-10 Zhenyi Liu , Trisha Lian , Joyce Farrell , Brian Wandell

Comparing the internal representations of neural networks is a central goal in both neuroscience and machine learning. Standard alignment metrics operate on raw neural activations, implicitly assuming that similar representations produce…

Machine Learning · Computer Science 2026-04-02 Sunny Liu , Habon Issa , André Longon , Liv Gorton , Meenakshi Khosla , David Klindt

This work provides an additional step in the theoretical understanding of neural networks. We consider neural networks with one hidden layer and show that when learning symmetric functions, one can choose initial conditions so that standard…

Machine Learning · Computer Science 2019-07-02 Ido Nachum , Amir Yehudayoff

Neural collapse, i.e., the emergence of highly symmetric, class-wise clustered representations, is frequently observed in deep networks and is often assumed to reflect or enable generalization. In parallel, flatness of the loss landscape…

Machine Learning · Computer Science 2026-02-05 Ting Han , Linara Adilova , Henning Petzka , Jens Kleesiek , Michael Kamp

For most deep learning practitioners, sequence modeling is synonymous with recurrent networks. Yet recent results indicate that convolutional architectures can outperform recurrent networks on tasks such as audio synthesis and machine…

Machine Learning · Computer Science 2018-04-20 Shaojie Bai , J. Zico Kolter , Vladlen Koltun

Machine learning algorithms use error function minimization to fit a large set of parameters in a preexisting model. However, error minimization eventually leads to a memorization of the training dataset, losing the ability to generalize to…

Machine Learning · Computer Science 2018-03-16 Fernando Martin-Maroto , Gonzalo G. de Polavieja

Deep Neural Networks (DNNs) generalize well despite their massive size and capability of memorizing all examples. There is a hypothesis that DNNs start learning from simple patterns and the hypothesis is based on the existence of examples…

Computer Vision and Pattern Recognition · Computer Science 2022-06-14 Ikki Kishida , Hideki Nakayama

Many researchers implicitly assume that neural networks learn relations and generalise them to new unseen data. It has been shown recently, however, that the generalisation of feed-forward networks fails for identity relations.The proposed…

Machine Learning · Computer Science 2020-07-07 Radha Kopparti , Tillman Weyde
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