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Generalization is a central aspect of learning theory. Here, we propose a framework that explores an auxiliary task-dependent notion of generalization, and attempts to quantitatively answer the following question: given two sets of patterns…

Disordered Systems and Neural Networks · Physics 2020-01-08 Francesco Borra , Marco Cosentino Lagomarsino , Pietro Rotondo , Marco Gherardi

Despite a multitude of empirical studies, little consensus exists on whether neural networks are able to generalise compositionally, a controversy that, in part, stems from a lack of agreement about what it means for a neural model to be…

Computation and Language · Computer Science 2020-02-25 Dieuwke Hupkes , Verna Dankers , Mathijs Mul , Elia Bruni

Neural networks based on metric recognition methods have a strictly determined architecture. Number of neurons, connections, as well as weights and thresholds values are calculated analytically, based on the initial conditions of tasks:…

Neural and Evolutionary Computing · Computer Science 2025-06-10 Polad Geidarov

Learning representations that generalize under distribution shifts is critical for building robust machine learning models. However, despite significant efforts in recent years, algorithmic advances in this direction have been limited. In…

Machine Learning · Computer Science 2025-02-14 Tianren Zhang , Chujie Zhao , Guanyu Chen , Yizhou Jiang , Feng Chen

Convolutional Neural Networks (CNNs) have become the state-of-the-art in supervised learning vision tasks. Their convolutional filters are of paramount importance for they allow to learn patterns while disregarding their locations in input…

Machine Learning · Computer Science 2017-10-26 Jean-Charles Vialatte , Vincent Gripon , Grégoire Mercier

Ensuring proper generalization is a critical challenge in applying data-driven methods for solving inverse problems in imaging, as neural networks reconstructing an image must perform well across varied datasets and acquisition geometries.…

Image and Video Processing · Electrical Eng. & Systems 2025-11-18 Emilien Valat , Ozan Öktem

Convolutional neural networks have established themselves over the past years as the state of the art method for image classification, and for many datasets, they even surpass humans in categorizing images. Unfortunately, the same…

Computer Vision and Pattern Recognition · Computer Science 2021-02-25 Sebastian Stabinger , David Peer , Antonio Rodríguez-Sánchez

Convolutional Neural Networks (CNNs) are commonly assumed to be invariant to small image transformations: either because of the convolutional architecture or because they were trained using data augmentation. Recently, several authors have…

Computer Vision and Pattern Recognition · Computer Science 2020-01-24 Aharon Azulay , Yair Weiss

Exploiting the great expressive power of Deep Neural Network architectures, relies on the ability to train them. While current theoretical work provides, mostly, results showing the hardness of this task, empirical evidence usually differs…

Machine Learning · Computer Science 2017-06-05 Shai Shalev-Shwartz , Ohad Shamir , Shaked Shammah

Modern machine learning tasks often require considering not just one but multiple objectives. For example, besides the prediction quality, this could be the efficiency, robustness or fairness of the learned models, or any of their…

Machine Learning · Computer Science 2022-08-30 Peter Súkeník , Christoph H. Lampert

The popularity of learning from data with machine learning and neural networks has lead to the creation of many new datasets for almost every problem domain. However, even within a single domain, these datasets are often collected with…

Machine Learning · Computer Science 2023-02-06 William C. Sleeman , Rishabh Kapoor , Preetam Ghosh

A key challenge facing deep learning is that neural networks are often not robust to shifts in the underlying data distribution. We study this problem from the perspective of the statistical concept of parameter identification.…

Machine Learning · Computer Science 2022-02-18 Kan Xu , Hamsa Bastani , Osbert Bastani

Research on generalization bounds for deep networks seeks to give ways to predict test error using just the training dataset and the network parameters. While generalization bounds can give many insights about architecture design, training…

Machine Learning · Computer Science 2022-03-21 Yi Zhang , Arushi Gupta , Nikunj Saunshi , Sanjeev Arora

Neural networks outperform kernel methods, sometimes by orders of magnitude, e.g. on staircase functions. This advantage stems from the ability of neural networks to learn features, adapting their hidden representations to better capture…

Machine Learning · Computer Science 2025-07-29 Niclas Alexander Göring , Charles London , Abdurrahman Hadi Erturk , Chris Mingard , Yoonsoo Nam , Ard A. Louis

Quantization lowers memory usage, computational requirements, and latency by utilizing fewer bits to represent model weights and activations. In this work, we investigate the generalization properties of quantized neural networks, a…

We explore the universality of neural encodings in convolutional neural networks trained on image classification tasks. We develop a procedure to directly compare the learned weights rather than their representations. It is based on a…

Machine Learning · Computer Science 2024-10-01 Florentin Guth , Brice Ménard

Graph neural networks (GNNs) have demonstrated their effectiveness in various tasks supported by their generalization capabilities. However, the current analysis of GNN generalization relies on the assumption that training and testing data…

Machine Learning · Computer Science 2024-09-11 Zhiyang Wang , Juan Cervino , Alejandro Ribeiro

Can neural networks systematically capture discrete, compositional task structure despite their continuous, distributed nature? The impressive capabilities of large-scale neural networks suggest that the answer to this question is yes.…

Machine Learning · Computer Science 2025-10-27 Florian Redhardt , Yassir Akram , Simon Schug

Deep learning models learn to fit training data while they are highly expected to generalize well to testing data. Most works aim at finding such models by creatively designing architectures and fine-tuning parameters. To adapt to…

Computer Vision and Pattern Recognition · Computer Science 2018-09-10 Tianyang Wang , Jun Huan , Bo Li

Contemporary neural networks still fall short of human-level generalization, which extends far beyond our direct experiences. In this paper, we argue that the underlying cause for this shortcoming is their inability to dynamically and…

Neural and Evolutionary Computing · Computer Science 2020-12-10 Klaus Greff , Sjoerd van Steenkiste , Jürgen Schmidhuber