메뉴 건너뛰기




Volumn 2006, Issue , 2006, Pages 35-46

Transform regression and the Kolmogorov superposition theorem

Author keywords

Decision trees; Generalized additive modeling; Gradient boosting

Indexed keywords

ALGORITHMS; DECISION THEORY; MATHEMATICAL TRANSFORMATIONS; REGRESSION ANALYSIS; TREES (MATHEMATICS);

EID: 33745469725     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1137/1.9781611972764.4     Document Type: Conference Paper
Times cited : (21)

References (23)
  • 1
    • 0002235173 scopus 로고
    • A method of choosing multiway partitions for classification and decision trees
    • Biggs, D., de Ville, B., and Suen, E. (1991). A method of choosing multiway partitions for classification and decision trees. Journal of Applied Statistics, 18(1):49-62.
    • (1991) Journal of Applied Statistics , vol.18 , Issue.1 , pp. 49-62
    • Biggs, D.1    De Ville, B.2    Suen, E.3
  • 3
    • 0035470889 scopus 로고    scopus 로고
    • Greedy function approximation: A gradient boosting machine
    • Friedman, J.H. (2001). Greedy function approximation: a gradient boosting machine. Annals of Statistics 29(5):1189-1232.
    • (2001) Annals of Statistics , vol.29 , Issue.5 , pp. 1189-1232
    • Friedman, J.H.1
  • 5
    • 0001675495 scopus 로고
    • Representation properties of networks: Kolmogorov's theorem is irrelevant
    • Girosi, F. & Poggio, T. (1989). Representation properties of networks: Kolmogorov's theorem is irrelevant. Neural Computation 1(4):465-469.
    • (1989) Neural Computation , vol.1 , Issue.4 , pp. 465-469
    • Girosi, F.1    Poggio, T.2
  • 9
    • 1542307690 scopus 로고    scopus 로고
    • Is regularization unnecessary for boosting?
    • San Mateo, California: Morgan Kaufmann
    • th Intl. Workshop on AI and Statistics, 57-64, San Mateo, California: Morgan Kaufmann.
    • (2001) th Intl. Workshop on AI and Statistics , pp. 57-64
    • Jiang, W.1
  • 10
    • 0036116123 scopus 로고    scopus 로고
    • On weak base hypotheses and their implications for boosting regression and classification
    • Jiang, W. (2002). On weak base hypotheses and their implications for boosting regression and classification. Annals of Statistics 30(1):51-73.
    • (2002) Annals of Statistics , vol.30 , Issue.1 , pp. 51-73
    • Jiang, W.1
  • 11
    • 0000661829 scopus 로고
    • An exploratory technique for investigating large quantities of categorical data
    • Kass, G. V. (1980). An exploratory technique for investigating large quantities of categorical data. Applied Statistics 29(2):119-127.
    • (1980) Applied Statistics , vol.29 , Issue.2 , pp. 119-127
    • Kass, G.V.1
  • 12
    • 0001321136 scopus 로고
    • On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition
    • Kolmogorov, A.N. (1957). On the representation of continuous functions of many variables by superposition of continuous functions of one variable and addition. Doklady Akademii Nauk SSSR, 144(5):953-956,
    • (1957) Doklady Akademii Nauk SSSR , vol.144 , Issue.5 , pp. 953-956
    • Kolmogorov, A.N.1
  • 14
    • 0001196621 scopus 로고
    • Kolmogorov's theorem is relevant
    • Kůrková, V. (1991). Kolmogorov's theorem is relevant. Neural Computation 3(4):617-622.
    • (1991) Neural Computation , vol.3 , Issue.4 , pp. 617-622
    • Kůrková, V.1
  • 15
    • 0026627415 scopus 로고
    • Kolmogorov's theorem and multilayer neural networks
    • Kůrková, V. (1992). Kolmogorov's theorem and multilayer neural networks. Neural Networks 5(3):501-506.
    • (1992) Neural Networks , vol.5 , Issue.3 , pp. 501-506
    • Kůrková, V.1
  • 16
    • 0042507805 scopus 로고
    • Metric entropy, widths, and superposition of functions
    • Lorentz, G.G. (1962). Metric entropy, widths, and superposition of functions. American Mathematical Monthly, 69:469-485.
    • (1962) American Mathematical Monthly , vol.69 , pp. 469-485
    • Lorentz, G.G.1
  • 17
    • 0027842081 scopus 로고
    • Matching pursuits with time-frequency dictionaries
    • Mallat, S.G. and Zhang, Z. (1993). Matching pursuits with time-frequency dictionaries. IEEE Trans. Signal Processing 41(12):3397-3415.
    • (1993) IEEE Trans. Signal Processing , vol.41 , Issue.12 , pp. 3397-3415
    • Mallat, S.G.1    Zhang, Z.2
  • 20
    • 84968510856 scopus 로고
    • On the structure of continuous functions of several variables
    • Sprecher, D.A. (1965). On the structure of continuous functions of several variables. Transactions American Mathematical Society, 115(3):340-355.
    • (1965) Transactions American Mathematical Society , vol.115 , Issue.3 , pp. 340-355
    • Sprecher, D.A.1
  • 21
    • 0030198795 scopus 로고    scopus 로고
    • A numerical implementation of Kolmogorov's superpositions
    • Sprecher, D.A. (1996). A numerical implementation of Kolmogorov's superpositions. Neural Networks 9(5):765-772.
    • (1996) Neural Networks , vol.9 , Issue.5 , pp. 765-772
    • Sprecher, D.A.1
  • 22
    • 0031127917 scopus 로고    scopus 로고
    • A numerical implementation of Kolmogorov's superpositions II
    • Sprecher, D.A. (1997). A numerical implementation of Kolmogorov's superpositions II. Neural Networks 10(3):447-457.
    • (1997) Neural Networks , vol.10 , Issue.3 , pp. 447-457
    • Sprecher, D.A.1
  • 23
    • 0036126058 scopus 로고    scopus 로고
    • Space-filling curves and Kolmogorov superposition-based neural networks
    • Sprecher, D.A. (2002). Space-filling curves and Kolmogorov superposition-based neural networks. Neural Networks 15(1):57-67.
    • (2002) Neural Networks , vol.15 , Issue.1 , pp. 57-67
    • Sprecher, D.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.