Results 211 to 220 of about 9,313 (254)
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The curse of dimensionality in inverse problems
Journal of Computational and Applied Mathematics, 2020zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Juan Luis Fernández-Martínez +1 more
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On the Curse of Dimensionality in the Ritz Method
Journal of Optimization Theory and Applications, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Curse of Dimensionality in Adversarial Examples
2019 International Joint Conference on Neural Networks (IJCNN), 2019While 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 +3 more
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A Probabilistic Spell for the Curse of Dimensionality
2001Range searches in metric spaces can be very difficult if the space is "high dimensional", i.e. when the histogram of distances has a large mean and/or a small variance. This so-called "curse of dimensionality", well known in vector spaces, is also observed in metric spaces.
Edgar Chávez, Gonzalo Navarro 0001
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Mass cytometry: blessed with the curse of dimensionality
Nature Immunology, 2016Immunologists 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
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Some measurements on the effects of the curse of dimensionality
Proceedings of the Companion Publication of the 2014 Annual Conference on Genetic and Evolutionary Computation, 2014The existence of the curse of dimensionality is well known, and its general effects are well acknowledged. However, perhaps due to this colloquial understanding, specific measurements on the curse of dimensionality and its effects are not as extensive.
Stephen Chen 0001 +2 more
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On the "dimensionality curse" and the "self-similarity blessing"
IEEE Transactions on Knowledge and Data Engineering, 2001Spatial queries in high-dimensional spaces have been studied extensively. Among them, nearest neighbor queries are important in many settings, including spatial databases (Find the k closest cities) and multimedia databases (Find the k most similar images). Previous analyses have concluded that nearest-neighbor search is hopeless in high dimensions due
Flip Korn +2 more
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Lifting the Curse of Dimensionality
2007In 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
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Using Randomization to Break the Curse of Dimensionality
Econometrica, 1997Summary: 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 ...
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