Remember the Curse of Dimensionality: The Case of Goodness-of-Fit Testing in Arbitrary Dimension [PDF]
, 2018 Despite a substantial literature on nonparametric two-sample goodness-of-fit testing in arbitrary dimensions spanning decades, there is no mention there of any curse of dimensionality. Only more recently Ramdas et al.
Arias-Castro, Ery +2 more
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A comprehensive survey of anomaly detection techniques for high dimensional big data
Journal of Big Data, 2020 Anomaly detection in high dimensional data is becoming a fundamental research problem that has various applications in the real world. However, many existing anomaly detection techniques fail to retain sufficient accuracy due to so-called “big data ...
Srikanth Thudumu +3 more
doaj +1 more source
Deterministic solution of the kinetic theory model of colloidal suspensions of structureless particles [PDF]
, 2012 A direct modeling of colloidal suspensions consists of calculating trajectories of all suspended objects. Due to the large time computing and the large cost involved in such calculations, we consider in this paper another route. Colloidal suspensions are
AMMAR, Amine +3 more
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Neuro-dynamic Programming to Optimal Control of a Biotechnological Process [PDF]
International Journal BioautomationDynamic programming (DP) is an elegant way to solve problems related to optimization and optimal control of processes. DP, however, has one major drawback, namely the “curse of dimensionality”.
Tatiana Ilkova, Mitko Petrov
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Estimation with Numerical Integration on Sparse Grids [PDF]
, 2006 For the estimation of many econometric models, integrals without analytical solutions have to be evaluated. Examples include limited dependent variables and nonlinear panel data models.
Heiss, Florian, Winschel, Viktor
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Egyptian Journal of Remote Sensing and Space Sciences, 2018 The curse of dimensionality resulted from insufficient training samples and redundancy is considered as an important problem in the supervised classification of hyperspectral data. This problem can be handled by Feature Subset Selection (FSS) methods and
Amir Salimi +5 more
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Curse of Dimensionality in Pivot Based Indexes [PDF]
2009 Second International Workshop on Similarity Search and Applications, 2009 9 pp., 4 figures, latex 2e, a revised submission to the 2nd International Workshop on Similarity Search and Applications ...
Volnyansky, Ilya, Pestov, Vladimir
openaire +2 more sources
A survey of band selection techniques for hyperspectral image classification
Journal of Spectral Imaging, 2020 Hyperspectral images usually contain hundreds of contiguous spectral bands, which can precisely discriminate the various spectrally similar classes. However, such high-dimensional data also contain highly correlated and irrelevant information, leading to
Shrutika S. Sawant, Manoharan Prabukumar
doaj +1 more source
On deep learning as a remedy for the curse of dimensionality in nonparametric regression
Annals of Statistics, 2019 Assuming that a smoothness condition and a suitable restriction on the structure of the regression function hold, it is shown that least squares estimates based on multilayer feedforward neural networks are able to circumvent the curse of dimensionality ...
B. Bauer, M. Kohler
semanticscholar +1 more source
A proof that artificial neural networks overcome the curse of dimensionality in the numerical approximation of Black-Scholes partial differential equations [PDF]
Memoirs of the American Mathematical Society, 2018 Artificial neural networks (ANNs) have very successfully been used in numerical simulations for a series of computational problems ranging from image classification/image recognition, speech recognition, time series analysis, game intelligence, and ...
P. Grohs +3 more
semanticscholar +1 more source