Generalization error of graph neural networks in the mean-field regime

Generalization error of graph neural networks in the mean-field regime

This work provides a theoretical framework for assessing the generalization error of graph neural networks in the over-parameterized regime, where the number of parameters surpasses the quantity of data points. We explore two widely utilized types of graph neural networks: graph convolutional neural...

Бүрэн тодорхойлолт

Номзүйн дэлгэрэнгүй
Үндсэн зохиолчид:	Aminian, G, He, Y, Reinert, G, Szpruch, L, Cohen, S
Формат:	Conference item
Хэл сонгох:	English
Хэвлэсэн:	Proceedings of Machine Learning Research 2024

Ижил төстэй зүйлс

MSGNN: a spectral graph neural network based on a novel magnetic signed Laplacian
-н: He, Y, зэрэг
Хэвлэсэн: (2022)

GNNRank: learning global rankings from pairwise comparisons via directed graph neural networks
-н: He, Y, зэрэг
Хэвлэсэн: (2022)

Graph neural networks for network analysis
-н: He, Y
Хэвлэсэн: (2024)

GDRMA: Graph Neural Networks for Document Retrievals With Mean Aggregation
-н: Shigeru Maya
Хэвлэсэн: (2024-01-01)

Physics-Informed Graph Neural Operator for Mean Field Games on Graph: A Scalable Learning Approach
-н: Xu Chen, зэрэг
Хэвлэсэн: (2024-03-01)

Mutual information of neural network initialisations: mean field approximations
-н: Tanner, J, зэрэг
Хэвлэсэн: (2021)

Computational and topological properties of neural networks by means of graph-theoretic parameters
-н: Asad Khan, зэрэг
Хэвлэсэн: (2023-03-01)

Proximal mean-field for neural network quantization
-н: Ajanthan, T, зэрэг
Хэвлэсэн: (2020)

Mean field analysis of deep neural networks
-н: Sirignano, J, зэрэг
Хэвлэсэн: (2021)

A limit order book model for latency arbitrage
-н: Cohen, SN, зэрэг
Хэвлэсэн: (2012)

A limit order book model for latency arbitrage
-н: Cohen, SN, зэрэг
Хэвлэсэн: (2011)

Asymmetric mean-field neural networks for multiprocessor scheduling /
-н: 286373 Hellstrom, Benjamin J., зэрэг

Graph coloring with physics-inspired graph neural networks
-н: Martin J. A. Schuetz, зэрэг
Хэвлэсэн: (2022-11-01)

Error Analysis of Terrestrial Laser Scanning Data by Means of Spherical Statistics and 3D Graphs
-н: Pedro Arias, зэрэг
Хэвлэсэн: (2010-11-01)

Graph neural network with knowledge graph
-н: Ang, Qi Xuan
Хэвлэсэн: (2020)

Improved Modeling and Generalization Capabilities of Graph Neural Networks With Legendre Polynomials
-н: Jiali Chen, зэрэг
Хэвлэсэн: (2023-01-01)

Identifiability in inverse reinforcement learning
-н: Cao, H, зэрэг
Хэвлэсэн: (2021)

Graph neural networks
-н: Lian, Ran
Хэвлэсэн: (2023)

AgraSSt: approximate graph Stein statistics for interpretable assessment of implicit graph generators
-н: Xu, W, зэрэг
Хэвлэсэн: (2023)

On Neural Networks Fitting, Compression, and Generalization Behavior via Information-Bottleneck-like Approaches
-н: Zhaoyan Lyu, зэрэг
Хэвлэсэн: (2023-07-01)

Complement of the generalized total graph of fields
-н: T. Tamizh Chelvam, зэрэг
Хэвлэсэн: (2020-09-01)

A mean field theory learning algorithm for neural networks /
-н: 323731 Peterson, Carsten, зэрэг

Graph Information Vanishing Phenomenon in Implicit Graph Neural Networks
-н: Silu He, зэрэг
Хэвлэсэн: (2024-08-01)

Mean-fields and neural masses.
-н: Karl Friston
Хэвлэсэн: (2008-08-01)

Node co-activations as a means of error detection—Towards fault-tolerant neural networks
-н: Lalli Myllyaho, зэрэг
Хэвлэсэн: (2022-09-01)

Convolutional Neural Network Outperforms Graph Neural Network on the Spatially Variant Graph Data
-н: Anna Boronina, зэрэг
Хэвлэсэн: (2023-05-01)

Fractional integral inequalities and error estimates of generalized mean differences
-н: Muhammad Samraiz, зэрэг
Хэвлэсэн: (2024-05-01)

Black-box model risk in finance
-н: Cohen, SN, зэрэг
Хэвлэсэн: (2023)

Benchmarking graph neural networks for materials chemistry
-н: Victor Fung, зэрэг
Хэвлэсэн: (2021-06-01)

Graph neural network coarse-grain force field for the molecular crystal RDX
-н: Brian H. Lee, зэрэг
Хэвлэсэн: (2024-09-01)

Predicting stress, strain and deformation fields in materials and structures with graph neural networks
-н: Marco Maurizi, зэрэг
Хэвлэсэн: (2022-12-01)

Mean field analysis of neural networks: a law of large numbers
-н: Sirignano, J, зэрэг
Хэвлэсэн: (2020)

Mean field analysis of neural networks: a central limit theorem
-н: Sirignano, J, зэрэг
Хэвлэсэн: (2019)

Federated graph neural network
-н: Koh, Tat You @ Arthur
Хэвлэсэн: (2021)

Survey on Graph Neural Networks
-н: Georgios Gkarmpounis, зэрэг
Хэвлэсэн: (2024-01-01)

Schatten Graph Neural Networks
-н: Youfa Liu, зэрэг
Хэвлэсэн: (2022-01-01)

Graph neural networks with a distribution of parametrized graphs
-н: Lee, See Hian, зэрэг
Хэвлэсэн: (2024)

Role of stochastic noise and generalization error in the time propagation of neural-network quantum states
-н: Damian Hofmann, Giammarco Fabiani, Johan H. Mentink, Giuseppe Carleo, Michael A. Sentef
Хэвлэсэн: (2022-05-01)

Optimizing Graph Neural Network Training on Large Graphs
-н: Stathas, Nickolas
Хэвлэсэн: (2022)

Circuit2Graph: Circuits With Graph Neural Networks
-н: Yusuke Yamakaji, зэрэг
Хэвлэсэн: (2024-01-01)