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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

As neural networks are increasingly being applied to real-world applications, mechanisms to address distributional shift and sequential task learning without forgetting are critical. Methods incorporating network expansion have shown…

Machine Learning · Computer Science 2021-03-26 Vinay Kumar Verma , Kevin J Liang , Nikhil Mehta , Piyush Rai , Lawrence Carin

Generalization is one of the fundamental issues in machine learning. However, traditional techniques like uniform convergence may be unable to explain generalization under overparameterization. As alternative approaches, techniques based on…

Machine Learning · Computer Science 2022-03-22 Jiaye Teng , Jianhao Ma , Yang Yuan

The recent successes of deep learning and deep reinforcement learning have firmly established their statuses as state-of-the-art artificial learning techniques. However, longstanding drawbacks of these approaches, such as their poor sample…

Artificial Intelligence · Computer Science 2020-02-05 Thommen George Karimpanal

Understanding how deep neural networks learn remains a fundamental challenge in modern machine learning. A growing body of evidence suggests that training dynamics undergo a distinct phase transition, yet our understanding of this…

Machine Learning · Computer Science 2025-05-21 Zhanpeng Zhou , Yongyi Yang , Mahito Sugiyama , Junchi Yan

Generative Flow Networks (GFlowNets) have emerged as an innovative learning paradigm designed to address the challenge of sampling from an unnormalized probability distribution, called the reward function. This framework learns a policy on…

Machine Learning · Computer Science 2024-07-04 Anas Krichel , Nikolay Malkin , Salem Lahlou , Yoshua Bengio

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

Graph neural networks (GNNs) build on the success of deep learning models by extending them for use in graph spaces. Transfer learning has proven extremely successful for traditional deep learning problems: resulting in faster training and…

Machine Learning · Computer Science 2022-02-03 Nishai Kooverjee , Steven James , Terence van Zyl

Generative adversarial networks (GANs) are a class of machine-learning models that use adversarial training to generate new samples with the same (potentially very complex) statistics as the training samples. One major form of training…

Disordered Systems and Neural Networks · Physics 2022-12-12 Steven Durr , Youssef Mroueh , Yuhai Tu , Shenshen Wang

Graph neural networks (GNNs) have emerged as a fundamental tool for learning from graph-structured data, achieving strong performance across a wide range of applications. However, understanding their generalization capabilities remains…

Machine Learning · Computer Science 2026-05-14 Peiyao Wang , Liang Bai , Xian Yang , Richard Yi Da Xu , Jiye Liang

Graph Neural Networks (GNNs) have emerged as powerful tools for learning representations from structured data. Despite their growing popularity and success across various applications, GNNs encounter several challenges that limit their…

Machine Learning · Computer Science 2026-02-03 Yassine Abbahaddou

As the performance of computer systems stagnates due to the end of Moore's Law, there is a need for new models that can understand and optimize the execution of general purpose code. While there is a growing body of work on using Graph…

Machine Learning · Computer Science 2020-03-12 Zhan Shi , Kevin Swersky , Daniel Tarlow , Parthasarathy Ranganathan , Milad Hashemi

This paper studies emergent phenomena in neural networks by focusing on grokking where models suddenly generalize after delayed memorization. To understand this phase transition, we utilize higher-order mutual information to analyze the…

Machine Learning · Computer Science 2024-08-20 Kenzo Clauw , Sebastiano Stramaglia , Daniele Marinazzo

Graph neural networks (GNNs) are designed to process data associated with graphs. They are finding an increasing range of applications; however, as with other modern machine learning techniques, their theoretical understanding is limited.…

Disordered Systems and Neural Networks · Physics 2026-02-23 O. Duranthon , L. Zdeborová

This paper proposes a new perspective for analyzing the generalization power of deep neural networks (DNNs), i.e., directly disentangling and analyzing the dynamics of generalizable and non-generalizable interaction encoded by a DNN through…

Machine Learning · Computer Science 2025-05-21 Yuxuan He , Junpeng Zhang , Lei Cheng , Hongyuan Zhang , Quanshi Zhang

Symmetry learning has proven to be an effective approach for extracting the hidden structure of data, with the concept of equivariance relation playing the central role. However, most of the current studies are built on architectural theory…

Machine Learning · Statistics 2024-02-15 Masanori Koyama , Kenji Fukumizu , Kohei Hayashi , Takeru Miyato

Graph Convolutional Networks (GCNs) are known to suffer from performance degradation as the number of layers increases, which is usually attributed to over-smoothing. Despite the apparent consensus, we observe that there exists a…

Machine Learning · Computer Science 2021-10-29 Weilin Cong , Morteza Ramezani , Mehrdad Mahdavi

The phenomenon of distribution shift (DS) occurs when a dataset at test time differs from the dataset at training time, which can significantly impair the performance of a machine learning model in practical settings due to a lack of…

In this work, we present a general framework for continual learning of sequentially arrived tasks with the use of pre-training, which has emerged as a promising direction for artificial intelligence systems to accommodate real-world…

Machine Learning · Computer Science 2024-07-10 Liyuan Wang , Jingyi Xie , Xingxing Zhang , Hang Su , Jun Zhu

By pretraining to synthesize coherent images from perturbed inputs, generative models inherently learn to understand object boundaries and scene compositions. How can we repurpose these generative representations for general-purpose…

Computer Vision and Pattern Recognition · Computer Science 2026-04-06 Om Khangaonkar , Hamed Pirsiavash