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Pattern Recognition, ISSN 0031-3203, 2010, Volume 43, Issue 1, pp. 5 - 13
Searching for an optimal feature subset from a high dimensional feature space is known to be an NP-complete problem. We present a hybrid algorithm, SAGA, for... 
Dimensionality reduction | Feature subset selection | Curse of dimensionality | High dimensionality | SUPPORT VECTOR MACHINES | CANCER CLASSIFICATION | SEARCH | RELEVANCE | ANT COLONY OPTIMIZATION | ALGORITHM | COMPUTER SCIENCE, ARTIFICIAL INTELLIGENCE | ENGINEERING, ELECTRICAL & ELECTRONIC | Neural networks | Mathematical optimization | Algorithms
Journal Article
Journal of Computational and Applied Mathematics, ISSN 0377-0427, 11/2019, p. 112571
Journal Article
The Annals of Applied Probability, ISSN 1050-5164, 10/2015, Volume 25, Issue 5, pp. 2809 - 2866
Journal Article
Journal Article
SIAM Journal on Scientific Computing, ISSN 1064-8275, 2009, Volume 31, Issue 5, pp. 3744 - 3759
For d-dimensional tensors with possibly large d > 3, an hierarchical data structure, called the Tree-Tucker format, is presented as an alternative to the... 
Tree-Tucker | Curse of dimensionality | Tucker decomposition | Canonical decomposition | TENSORS | MATHEMATICS, APPLIED | canonical decomposition | APPROXIMATION | curse of dimensionality | DECOMPOSITION | Tensors | Format | Asymptotic properties | Mathematical analysis | Data structures | Decomposition | Matrices | Three dimensional
Journal Article
Energy, ISSN 0360-5442, 09/2017, Volume 134, pp. 718 - 730
As a popular optimization tool for multi-stage sequential decision problems, dynamic programming (DP) has been widely used to handle with hydropower system... 
Dimensionality reduction | Curse of dimensionality | Dynamic programming | Uniform design | Multireservoir system operation | UNIT COMMITMENT | DESIGN | ENERGY | ENERGY & FUELS | ECONOMIC EMISSION | POWER | CULTURAL DIFFERENTIAL EVOLUTION | GENETIC ALGORITHM | PARTICLE SWARM OPTIMIZATION | 3 GORGES | THERMODYNAMICS | Algorithms | Water-power
Journal Article
Cognitive Science, ISSN 0364-0213, 03/2019, Volume 43, Issue 3, pp. e12724 - n/a
The curse of dimensionality, which has been widely studied in statistics and machine learning, occurs when additional features cause the size of the feature... 
Curse of dimensionality | MODELS | Category learning | Supervised learning | KNOWLEDGE | CLASSIFICATION | CATEGORIZATION | IDENTIFICATION | PSYCHOLOGY, EXPERIMENTAL | Models | Learning Processes | Performance | Computation | Experiments | Classification | Learning | Prey | Economic models | Learning algorithms | Computer applications | Mathematical models | Monte Carlo simulation
Journal Article
ANNALS OF STATISTICS, ISSN 0090-5364, 08/2019, Volume 47, Issue 4, pp. 2261 - 2285
Assuming that a smoothness condition and a suitable restriction on the structure of the regression function hold, it is shown that least squares estimates... 
nonparametric regression | RATES | Curse of dimensionality | APPROXIMATION | BOUNDS | neural networks | rate of convergence | CONVERGENCE | STATISTICS & PROBABILITY | NETWORKS
Journal Article
Journal de mathématiques pures et appliquées, ISSN 0021-7824, 02/2015, Volume 103, Issue 2, pp. 400 - 428
The numerical approximation of parametric partial differential equations is a computational challenge when the dimension of the parameter vector is large, due... 
Sparse high dimensional interpolation | Parametric PDEs | Curse of dimensionality | Sparse Legendre series | MATHEMATICS | MATHEMATICS, APPLIED | STOCHASTIC COLLOCATION METHOD | PARTIAL-DIFFERENTIAL-EQUATIONS | ANALYTIC REGULARITY | CONVERGENCE | Anisotropy | Analysis | Numerical Analysis | Mathematics
Journal Article
Journal of Econometrics, ISSN 0304-4076, 06/2019, Volume 210, Issue 2, pp. 482 - 497
Journal Article
Journal of Complexity, ISSN 0885-064X, 02/2019, Volume 50, pp. 25 - 42
We prove the curse of dimensionality in the worst case setting for multivariate numerical integration for various classes of smooth functions. We prove the... 
Tractability | [formula omitted]-condition | Thin-shell estimate | Numerical integration | Curse of dimension | Isotropic convex body | condition | MATHEMATICS | MATHEMATICS, APPLIED | CONVEX | SURFACE MEASURE | SPHERE | BODIES | Psi-condition
Journal Article
MARKETING SCIENCE, ISSN 0732-2399, 9/2019, Volume 38, Issue 5, pp. 888 - 909
New estimation method for dynamic discrete choice models with aggregate data. We develop a new approach using market-level data to model, identify, and... 
demand estimation | curse of dimensionality | durable goods | dynamic discrete choice | NONPARAMETRIC IDENTIFICATION | PRODUCTS | BUSINESS | CHOICE MODELS | INFERENCE | Supply and demand | Durable goods | Smartphones | Algorithms | Estimating techniques | Discrete element method
Journal Article
Computers and Mathematics with Applications, ISSN 0898-1221, 05/2013, Volume 65, Issue 10, pp. 1427 - 1437
There is an increasing body of evidence suggesting that exact nearest neighbour search in high-dimensional spaces is affected by the curse of dimensionality at... 
Borel dimensionality reduction | The curse of dimensionality | Nearest neighbour search | Approximate [formula omitted]-NN classifier | Approximate k-NN classifier | MATHEMATICS, APPLIED | PATTERN-CLASSIFICATION | SEARCH | SPACES | NONPARAMETRIC REGRESSION | NEAREST-NEIGHBOR | Algorithms
Journal Article
Mathematics of Computation of the American Mathematical Society, ISSN 0025-5718, 11/2014, Volume 83, Issue 290, pp. 2853 - 2863
We prove the curse of dimensionality for multivariate integration of C-r functions: The number of needed function values to achieve an error epsilon is larger... 
Curse of dimensionality | High dimensional numerical problems | Numerical integration | MATHEMATICS, APPLIED | numerical integration | high dimensional numerical problems | Mathematics - Numerical Analysis
Journal Article
Applied Intelligence, ISSN 0924-669X, 2015, Volume 42, Issue 3, pp. 514 - 526
Journal Article