Effective dimension

In mathematics, effective dimension is a modification of Hausdorff dimension and other fractal dimensions which places it in a computability theory… (More)
Wikipedia

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
2012
2012
This paper introduces some notions of effective dimension for weighted function spaces. A space has low effective dimension if… (More)
  • table 1
  • table 2
Is this relevant?
2010
2010
Light transport is often characterized within a high-dimensional space although practitioners have long known that it commonly… (More)
Is this relevant?
2007
2007
The two most important notions of fractal dimension are Hausdorff dimension, developed by Hausdorff (1919), and packing dimension… (More)
Is this relevant?
2007
2007
Many signal processing algorithms include numerical problems where the solution is obtained by adjusting the value of parameters… (More)
  • figure 1
  • figure 2
Is this relevant?
2005
2005
In recent years, constructions based on Brownian bridge [11], principal component analysis[1], and linear transformation [7] have… (More)
  • table 1
  • table 2
  • table 3
  • table 4
  • table 5
Is this relevant?
Highly Cited
2003
Highly Cited
2003
Quasi-Monte Carlo (QMC) methods are successfully used for high-dimensional integrals arising in many applications. To understand… (More)
  • table 1
  • table 2
  • table 3
  • table 4
  • table 5
Is this relevant?
Highly Cited
2003
Highly Cited
2003
MOTIVATION One particular application of microarray data, is to uncover the molecular variation among cancers. One feature of… (More)
  • figure 1
  • figure 2
  • figure 3
  • table I
Is this relevant?
Highly Cited
2003
Highly Cited
2003
Large number of dimensions not only cause clutter in multi-dimensional visualizations, but also make it difficult for users to… (More)
  • figure 1
  • figure 2
  • figure 3
  • figure 4
Is this relevant?
2002
2002
Practitioners have long noticed that quasi-Monte Carlo methods work very well on functions that are nearly superpositions of low… (More)
Is this relevant?
2002
2002
We investigate the generalization performance of some learning problems in Hilbert function Spaces. We introduce a concept of… (More)
Is this relevant?