The curse of dimensionality refers to various phenomena that arise when analyzing and organizing data in high-dimensional spaces that do not occur in...

Working in high-dimensional spaces can be undesirable for many reasons; raw data are often sparse as a consequence of the curse of dimensionality, and analyzing...

dimensions. The curse of dimensionality is expressed in the order of the integration error that is made by a quadrature of level l {\displaystyle l}...

(mathematical) space. One implication of the curse of dimensionality is that some methods for numerical solution of the Bellman equation require vastly...

of well-known phenomena, which are usually referred to with the umbrella term curse of dimensionality. To assess how severely the dimensionality of a...

problem intractable due to the “curse of dimensionality”. Alternatively, it has been shown that if the cost function of the multi-stage optimization problem...

data, it becomes difficult to achieve such high values because of the curse of dimensionality, as the distances become more similar.[citation needed] The...

Plane of rotation Curse of dimensionality String theory Infinite Hilbert space Function space Dimension (data warehouse) Dimension tables Dimensional analysis...

high-dimensional data, tree-based exact vector search techniques such as the k-d tree and R-tree do not perform well enough because of the curse of dimensionality...

each dimension, complete enumeration of all subspaces becomes intractable with increasing dimensionality. This problem is known as the curse of dimensionality...

k-NN algorithm in order to avoid the effects of the curse of dimensionality. The curse of dimensionality in the k-NN context basically means that Euclidean...

computational cost, the curse of dimensionality, the reliability of random number generators, and the verification and validation of the results. Monte Carlo...

M−1 dimensional space where M is the number of categories. MDA is useful because most classifiers are strongly affected by the curse of dimensionality. In...

the curse of dimensionality, but is often embarrassingly parallel because the hyperparameter settings it evaluates are typically independent of each...

search include the space and time costs of exact solutions in high-dimensional spaces (see curse of dimensionality) and that in some domains, finding an...

at each iteration, it helps address the curse of dimensionality. Reversible-jump: This method is a variant of the Metropolis–Hastings algorithm that allows...

dimensionality. The intrinsic dimension can be used as a lower bound of what dimension it is possible to compress a data set into through dimension reduction...

models. Because of this, it is less affected by the curse of dimensionality than a p-dimensional smoother. Furthermore, the AM is more flexible than a...

growth Combinatorial explosion Branching factor Granularity Curse of dimensionality Concentration of measure Noga Alon George Andrews József Beck Eric Temple...

traction over large collections, due to a manifestation of the so-called curse of dimensionality, and there are still many unsolved problems. Unfortunately...

usually referred to as the curse of dimensionality states that there is no general-purpose exact solution for NNS in high-dimensional Euclidean space using...

number of features that are descriptive of the object. The number of features should not be too large, because of the curse of dimensionality; but should...

results in a very sparse vector space of high dimensionality (cf. curse of dimensionality). Reducing the number of dimensions using linear algebraic methods...

databases. Curse of dimensionality – Difficulties arising when analyzing data with many aspects ("dimensions") Machine learning – Study of algorithms...

required number of layer and their width can be exponentially smaller. Even if f {\displaystyle f} is not smooth, the curse of dimensionality can be broken...

Dimension reduction Principal component analysis Multidimensional scaling Cluster-weighted modeling Curse of dimensionality Determining the number of...

superficially easier approach of just understanding the other. Birthday problem Exponential growth Metcalfe's law Curse of dimensionality Information explosion...

Especially for high-dimensional data, this metric can be rendered almost useless due to the so-called "Curse of dimensionality", making it difficult...

distribution of allocational outcomes is a state variable which must be carried across periods. This gives rise to the well-known curse of dimensionality. One...

clustering, correlation clustering, and the curse of dimensionality. He is one of the founders and core developers of the open-source ELKI data mining framework...