Algorithm for Overcoming the Curse of Dimensionality For Time-Dependent Non-convex Hamilton–Jacobi Equations Arising From Optimal Control and Differential Games Problems
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Scientific Computing"
DOI: 10.1007/s10915-017-0436-5
Abstract: In this paper we develop a parallel method for solving possibly non-convex time-dependent Hamilton–Jacobi equations arising from optimal control and differential game problems. The subproblems are independent so they can be implemented in an embarrassingly… read more here.
Keywords: curse dimensionality; control; time; jacobi equations ... See more keywords
Sampling Hyperspheres via Extreme Value Theory: Implications for Measuring Attractor Dimensions
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Statistical Physics"
DOI: 10.1007/s10955-020-02573-5
Abstract: The attractor Hausdorff dimension is an important quantity bridging information theory and dynamical systems, as it is related to the number of effective degrees of freedom of the underlying dynamical system. By using the link… read more here.
Keywords: theory; curse dimensionality; attractor; value theory ... See more keywords
LASSO+DEA for small and big wide data
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DOI: 10.1016/j.omega.2021.102419
Abstract: Abstract In data envelopment analysis (DEA), the curse of dimensionality problem may jeopardize the accuracy or even the relevance of results when there is a relatively large dimension of inputs and outputs, even for relatively… read more here.
Keywords: wide data; dea; curse dimensionality; approach ... See more keywords
Countering the Curse of Dimensionality: Exploring Data-generating Mechanisms Through Participant Observation and Mechanistic Modeling.
Sign Up to like & getrecommendations! Published in 2019 at "Epidemiology"
DOI: 10.1097/ede.0000000000001025
Abstract: Epidemiology • Volume 30, Number 4, July 2019 www.epidem.com | 609 From the aSchool of Public Health, University of California, Berkeley, CA; bDepartment of Anthropology, Trinity College, Hartford, CT; and cSchool of Public Health, University… read more here.
Keywords: exploring data; dimensionality exploring; curse dimensionality; data generating ... See more keywords
Robust subspace methods for outlier detection in genomic data circumvents the curse of dimensionality
Sign Up to like & getrecommendations! Published in 2020 at "Royal Society Open Science"
DOI: 10.1098/rsos.190714
Abstract: The application of machine learning to inference problems in biology is dominated by supervised learning problems of regression and classification, and unsupervised learning problems of clustering and variants of low-dimensional projections for visualization. A class… read more here.
Keywords: genomic data; dimensionality; outlier detection; robust subspace ... See more keywords
Augmented Industrial Data-Driven Modeling Under the Curse of Dimensionality
Sign Up to like & getrecommendations! Published in 2023 at "IEEE/CAA Journal of Automatica Sinica"
DOI: 10.1109/jas.2023.123396
Abstract: The curse of dimensionality refers to the problem of increased sparsity and computational complexity when dealing with high-dimensional data. In recent years, the types and variables of industrial data have increased significantly, making data-driven models… read more here.
Keywords: augmented industrial; industrial data; curse dimensionality; data driven ... See more keywords
Do Additional Features Help or Hurt Category Learning? The Curse of Dimensionality in Human Learners
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DOI: 10.1111/cogs.12724
Abstract: The curse of dimensionality, which has been widely studied in statistics and machine learning, occurs when additional features cause the size of the feature space to grow so quickly that learning classification rules becomes increasingly… read more here.
Keywords: help hurt; additional features; curse dimensionality; features help ... See more keywords
Ensemble Averaging and the Curse of Dimensionality
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Climate"
DOI: 10.1175/jcli-d-17-0197.1
Abstract: AbstractWhen comparing climate models to observations it is often observed that the mean over many models has smaller errors than most or all of the individual models. We will show that a general consequence of… read more here.
Keywords: high dimensional; averaging curse; ensemble averaging; ensemble mean ... See more keywords
Rigid geometry solves “curse of dimensionality” effects in clustering methods: An application to omics data
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DOI: 10.1371/journal.pone.0179180
Abstract: 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. To do this,… read more here.
Keywords: rigid geometry; clustering methods; application; geometry ... See more keywords
VisualUVAM: A Decision Support System Addressing the Curse of Dimensionality for the Multi-Scale Assessment of Urban Vulnerability in Spain
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DOI: 10.3390/su11082191
Abstract: Many-objective optimization methods have proven successful in the integration of research attributes demanded for urban vulnerability assessment models. However, these techniques suffer from the curse of the dimensionality problem, producing an excessive burden in the… read more here.
Keywords: urban vulnerability; vulnerability spain; curse dimensionality; vulnerability ... See more keywords