Results 21 to 30 of about 77,553 (343)
CNNs Avoid the Curse of Dimensionality by Learning on Patches [PDF]
IEEE Open Journal of Signal Processing, 2023 Despite the success of convolutional neural networks (CNNs) in numerous computer vision tasks and their extraordinary generalization performances, several attempts to predict the generalization errors of CNNs have only been limited to a posteriori ...
Vamshi C. Madala +2 more
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Gene-gene interaction: the curse of dimensionality. [PDF]
Ann Transl Med, 2019 Identified genetic variants from genome wide association studies frequently show only modest effects on the disease risk, leading to the "missing heritability" problem. An avenue, to account for a part of this "missingness" is to evaluate gene-gene interactions (epistasis) thereby elucidating their effect on complex diseases.
Chattopadhyay A, Lu TP.
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TOWARDS OVERCOMING THE CURSE OF DIMENSIONALITY IN PREDICTIVE MODELLING AND UNCERTAINTY QUANTIFICATION [PDF]
EPJ Web of Conferences, 2021 This invited presentation summarizes new methodologies developed by the author for performing high-order sensitivity analysis, uncertainty quantification and predictive modeling.
Cacuci Dan G.
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Rigid geometry solves "curse of dimensionality" effects in clustering methods: An application to omics data. [PDF]
PLoS ONE, 2017 The quality of samples preserved long term at ultralow temperatures has not been adequately studied. To improve our understanding, we need a strategy to analyze protein degradation and metabolism at subfreezing temperatures.
Shun Adachi
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Curse of dimensionality on persistence diagrams
Foundations of Data ScienceThe stability of persistent homology has led to wide applications of the persistence diagram as a trusted topological descriptor in the presence of noise. However, with the increasing demand for high-dimension and low-sample-size data processing in modern science, it is questionable whether persistence diagrams retain their reliability in the presence ...
Hiraoka, Yasuaki +3 more
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The curse of dimensionality for numerical integration of smooth functions II [PDF]
Journal of Complexity, 2014 We prove the curse of dimensionality for multivariate integration of C r C^r functions: The number of needed function values to achieve an error ϵ \epsilon is larger than c r ( 1 + γ ) d c_r (1 ...
Hinrichs, A. +3 more
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Adaptive Reduction of Curse of Dimensionality in Nonparametric Instrumental Variable Estimation [PDF]
MathematicsNonparametric estimation of instrumental variable treatment effects typically builds on various nonparametric identification results. However, these estimators often face challenges from the curse of dimensionality in practice, as multi-dimensional ...
Ming-Yueh Huang, Kwun Chuen Gary Chan
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Breaking the curse of dimensionality [PDF]
Dissertationes Mathematicae, 2000 This dissertation covers a very actual research topic -- numerical treatment of high-dimensional problems. This research work is a contribution to the theory of information-based complexity (IBC). The first chapter is an introduction and contains abstract problems connected with IBC.
Markus Weimar
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Breaking the curse of dimensionality in regression
, 2017 Models with many signals, high-dimensional models, often impose structures on the signal strengths. The common assumption is that only a few signals are strong and most of the signals are zero or close (collectively) to zero. However, such a requirement might not be valid in many real-life applications.
Zhu, Yinchu, Bradic, Jelena
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Deep Operator Learning Lessens the Curse of Dimensionality for PDEs [PDF]
Trans. Mach. Learn. Res., 2023 Deep neural networks (DNNs) have achieved remarkable success in numerous domains, and their application to PDE-related problems has been rapidly advancing.
Ke Chen, Chunmei Wang, Haizhao Yang
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