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Interpreting the Curse of Dimensionality from Distance Concentration and Manifold Effect

arXiv.org, 2023
The characteristics of data like distribution and heterogeneity, become more complex and counterintuitive as dimensionality increases. This phenomenon is known as curse of dimensionality, where common patterns and relationships (e.g., internal pattern ...
D. Peng, Zhipeng Gui, Huayi Wu
semanticscholar   +1 more source

Rectified deep neural networks overcome the curse of dimensionality when approximating solutions of McKean-Vlasov stochastic differential equations

Journal of Mathematical Analysis and Applications, 2023
In this paper we prove that rectified deep neural networks do not suffer from the curse of dimensionality when approximating McKean--Vlasov SDEs in the sense that the number of parameters in the deep neural networks only grows polynomially in the space ...
Ariel Neufeld, Tuan Anh Nguyen
semanticscholar   +1 more source

Curse of dimensionality on persistence diagrams

Foundations of Data Science
The stability of persistent homology has led to wide applications of the persistence diagram as a trusted topological descriptor in the presence of noise.
Yasuaki Hiraoka   +6 more
semanticscholar   +1 more source

Breaking the curse of dimensionality: hierarchical Bayesian network model for multi-view clustering

Annals of Mathematics and Artificial Intelligence, 2021
Hasna Njah, Salma Jamoussi, W. Mahdi
semanticscholar   +1 more source

The impact of resource curse on banking efficiency: Evidence from twelve oil producing countries

Resources Policy, 2021
Muhammad Umar   +2 more
exaly  

A machine learning approach to circumventing the curse of dimensionality in discontinuous time series machine data

Reliability Engineering & System Safety, 2020
O. Aremu   +2 more
semanticscholar   +1 more source

The competing role of natural gas and oil as fossil fuel and the non-linear dynamics of resource curse in Russia

Resources Policy, 2021
Jinxuan Yang   +2 more
exaly  

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