Proceedings of the 2006 SIAM International Conference on Data Mining 2006
DOI: 10.1137/1.9781611972764.4
|View full text |Cite
|
Sign up to set email alerts
|

Transform Regression and the Kolmogorov Superposition Theorem

Abstract: This paper presents a new predictive modeling algorithm that draws inspiration from the Kolmogorov superposition theorem. An initial version of the algorithm is presented that combines gradient boosting, generalized additive models, and decision-tree methods to construct models that have the same overall mathematical structure as Kolmogorov's superposition equation. Improvements to the algorithm are then presented that significantly increase its rate of convergence. The resulting algorithm, dubbed "transform r… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

0
12
0
5

Year Published

2007
2007
2021
2021

Publication Types

Select...
3
3
1

Relationship

0
7

Authors

Journals

citations
Cited by 17 publications
(17 citation statements)
references
References 20 publications
(23 reference statements)
0
12
0
5
Order By: Relevance
“…Given these data, we can make projections for the future behavior of the same items (Pednault 2004). …”
Section: Results Analysismentioning
confidence: 99%
“…Given these data, we can make projections for the future behavior of the same items (Pednault 2004). …”
Section: Results Analysismentioning
confidence: 99%
“…The first paper gives a statistical view of boosting [8] and the second paper introduces transform regression [12]. More detail on these techniques and datasets can be found in the relevant papers.…”
Section: Comparisonmentioning
confidence: 99%
“…In Table 5 the results from [12] on the adult dataset are compared with the results computed by the algorithm presented in this paper. Validation error was again used to select the best generalized additive neural network topology and associated model and to make the results comparable with that in [12].…”
Section: Comparisonmentioning
confidence: 99%
See 1 more Smart Citation
“…The identified patterns represent an approximation of the historical behavior of the items under examination. Given these data, we can make projections for the future behavior [15].…”
Section: Knowledge Mining Frameworkmentioning
confidence: 99%