Results 291 to 300 of about 77,553 (343)

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 in Adversarial Examples

2019 International Joint Conference on Neural Networks (IJCNN), 2019
While machine learning and deep neural networks in particular, have undergone massive progress in the past years, this ubiquitous paradigm faces a relatively newly discovered challenge, adversarial attacks. An adversary can leverage a plethora of attacking algorithms to severely reduce the performance of existing models, therefore threatening the use ...
Nandish Chattopadhyay, Anupam Chattopadhyay, Sourav Sen Gupta, Michael Kasper   +3 more
openaire   +1 more source

Mass cytometry: blessed with the curse of dimensionality

Nature Immunology, 2016
Immunologists are being compelled to develop new high-dimensional perspectives of cellular heterogeneity and to determine which applications best exploit the power of mass cytometry and associated multiplex approaches.
Evan W Newell, Yang Cheng
openaire   +2 more sources

Lifting the Curse of Dimensionality

2007
In certain problem domains, “The Curse of Dimensionality” (Hastie et al., 2001) is well known. Also known as the problem of “High P and Low N” where the number of parameters far exceeds the number of samples to learn from, we describe our methods for making the most of limited samples in producing reasonably general classification rules from data with ...
W. P. Worzel, A. Almal, C. D. MacLean
openaire   +1 more source

High dimensional neurofuzzy systems: overcoming the curse of dimensionality

Proceedings of 1995 IEEE International Conference on Fuzzy Systems. The International Joint Conference of the Fourth IEEE International Conference on Fuzzy Systems and The Second International Fuzzy Engineering Symposium, 2002
Many researchers do not appreciate the problems in building high-dimensional fuzzy models or control surfaces, yet this task has occupied researchers in several fields for the past thirty years. The problems occur due to the lack of both available training data and the required computational resources necessary for building and calculating the response
M. Brown, K.M. Bossley, D.J. Mills, C.J. Harris   +3 more
openaire   +1 more source

Curse of Dimensionality in Paradoxical High Dimensional Clinical Datasets – A Survey

International Journal of Business Intelligents, 2015
Data storage and retrieval is one among the challenging process in the field of computation. The storage and retrieval of multi-dimensional unstructured conflict data are needs the conversion of structure process. The storage has the major impact on access and computation time.
S.Rajeswari Ms, M.S.Josephine Ms, V.Jeyabalaraja Mr   +2 more
openaire   +1 more source

Using Randomization to Break the Curse of Dimensionality

Econometrica, 1997
Summary: This paper introduces random versions of successive approximations and multigrid algorithms for computing approximate solutions to a class of finite and infinite horizon Markovian decision problems (MDPs). We prove that these algorithms succeed in breaking the ``curse of dimensionality'' for a subclass of MDPs known as discrete decision ...
openaire   +1 more source

Curse of Dimensionality

2011
Eamonn Keogh, Abdullah Mueen
  +4 more sources

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

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