메뉴 건너뛰기




Volumn 11, Issue 3, 2002, Pages 615-638

Adaptive splines and genetic algorithms

Author keywords

Generalized cross validation; Nonparametric regression; Splines

Indexed keywords


EID: 0036751405     PISSN: 10618600     EISSN: None     Source Type: Journal    
DOI: 10.1198/106186002448     Document Type: Article
Times cited : (33)

References (55)
  • 1
    • 0002471118 scopus 로고
    • Optimal mutation rates in genetic search
    • ed. S. Forrest, San Mateo. CA: Morgan Kaufmann Publishers
    • Bäck, T. (1993), "Optimal Mutation Rates in Genetic Search," in Proceedings of the Fifth International Conference on Genetic Algorithms, ed. S. Forrest, San Mateo. CA: Morgan Kaufmann Publishers, pp. 2-8.
    • (1993) Proceedings of the Fifth International Conference on Genetic Algorithms , pp. 2-8
    • Bäck, T.1
  • 3
    • 0030333180 scopus 로고    scopus 로고
    • Genetic algorithm-based method for selecting wavelengths and model size for use with partial least-squares regression: Application to near-infrared spectroscopy
    • Bangalore, A., Shaffer, R., and Small, G. (1996), "Genetic Algorithm-Based Method for Selecting Wavelengths and Model Size for Use With Partial Least-Squares Regression: Application to Near-Infrared Spectroscopy," Analytical Chemistry, 68, 4200-4212.
    • (1996) Analytical Chemistry , vol.68 , pp. 4200-4212
    • Bangalore, A.1    Shaffer, R.2    Small, G.3
  • 5
    • 0011045198 scopus 로고
    • National Bureau of Standards and Washington State University
    • Blue, J., Kahaner, D., and Marsaglia, G. (1983), RV Package, National Bureau of Standards and Washington State University.
    • (1983) RV Package
    • Blue, J.1    Kahaner, D.2    Marsaglia, G.3
  • 6
    • 0030859519 scopus 로고    scopus 로고
    • Genetic algorithms as a method for variable selection in multiple linear regression and partial least squares regression, with applications to pyrolysis mass spectrometry
    • Broadhurst, D., Goodacre, R., Jones, A., Rowland, J., and Kell, D. (1997), "Genetic Algorithms as a Method for Variable Selection in Multiple Linear Regression and Partial Least Squares Regression, With Applications to Pyrolysis Mass Spectrometry," Analytica Chemica Acta, 348, 71-86.
    • (1997) Analytica Chemica Acta , vol.348 , pp. 71-86
    • Broadhurst, D.1    Goodacre, R.2    Jones, A.3    Rowland, J.4    Kell, D.5
  • 7
    • 23044518682 scopus 로고    scopus 로고
    • Adaptive Bayesian regression splines in semiparametric generalized linear models
    • Biller, C. (1999), "Adaptive Bayesian Regression Splines in Semiparametric Generalized Linear Models," Journal of Computational and Graphical Statistics, 9, 122-140.
    • (1999) Journal of Computational and Graphical Statistics , vol.9 , pp. 122-140
    • Biller, C.1
  • 9
    • 34250263445 scopus 로고
    • Smoothing noisy data with spline functions
    • Craven, P., and Wahba, G. (1979), "Smoothing Noisy Data With Spline Functions," Numerische Mathematik, 31, 377-403.
    • (1979) Numerische Mathematik , vol.31 , pp. 377-403
    • Craven, P.1    Wahba, G.2
  • 14
    • 0041958932 scopus 로고
    • Ideal spatial adaptation by wavelet shrinkage
    • Donoho, D., and Johnstone, I. (1994), "Ideal Spatial Adaptation by Wavelet Shrinkage," Biometrika, 81, 425-455.
    • (1994) Biometrika , vol.81 , pp. 425-455
    • Donoho, D.1    Johnstone, I.2
  • 15
    • 84950459514 scopus 로고
    • Adapting to unknown smoothness via wavelet shrinkage
    • _, (1995), "Adapting to Unknown Smoothness via Wavelet Shrinkage," Journal of the American Statistical Association, 90, 1200-1224.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 1200-1224
  • 16
    • 0029535125 scopus 로고
    • Seismic velocity structure of oceanic crust by inversion using genetic algorithms
    • Drijkoningen, G., and White, R. (1995), "Seismic Velocity Structure of Oceanic Crust by Inversion Using Genetic Algorithms," Geophysical Journal International, 123, 653-664.
    • (1995) Geophysical Journal International , vol.123 , pp. 653-664
    • Drijkoningen, G.1    White, R.2
  • 17
    • 0000887734 scopus 로고
    • Data-driven bandwidth selection in local polynomial fitting: Variable bandwidth and spatial adaptation
    • Fan, J., and Gijbels, I. (1995), "Data-Driven Bandwidth Selection in Local Polynomial Fitting: Variable Bandwidth and Spatial Adaptation," Journal of the Royal Statistical Society, Series B, 57, 371-394.
    • (1995) Journal of the Royal Statistical Society, Series B , vol.57 , pp. 371-394
    • Fan, J.1    Gijbels, I.2
  • 18
    • 0002432565 scopus 로고
    • Multivariate adaptive regression splines
    • with discussion
    • Friedman, J. (1991), "Multivariate Adaptive Regression Splines" (with discussion), The Annals of Statistics, 19, 1-141.
    • (1991) The Annals of Statistics , vol.19 , pp. 1-141
    • Friedman, J.1
  • 19
    • 84950437936 scopus 로고
    • Annealing Markov chain Monte Carlo with applications to ancestral inference
    • Geyer, C., and Thompson, E. (1995), "Annealing Markov Chain Monte Carlo With Applications to Ancestral Inference," Journal of the American Statistical Association, 90, 909-920.
    • (1995) Journal of the American Statistical Association , vol.90 , pp. 909-920
    • Geyer, C.1    Thompson, E.2
  • 20
    • 0011031587 scopus 로고    scopus 로고
    • Spline adaptation in extended linear models
    • with discussion
    • Hansen, M., and Kooperberg, C. (2002), "Spline Adaptation in Extended Linear Models" (with discussion), Statistical Science, 17, 2-51.
    • (2002) Statistical Science , vol.17 , pp. 2-51
    • Hansen, M.1    Kooperberg, C.2
  • 22
    • 0032136585 scopus 로고    scopus 로고
    • Tackling real-coded genetic algorithms: Operators and tools for behavioral analysis
    • Herrera, F., Lozano, M., and Verdegay, J. (1998), "Tackling Real-Coded Genetic Algorithms: Operators and Tools for Behavioral Analysis," Artificial Intelligence Review, 12, 265-319.
    • (1998) Artificial Intelligence Review , vol.12 , pp. 265-319
    • Herrera, F.1    Lozano, M.2    Verdegay, J.3
  • 25
    • 0010974898 scopus 로고    scopus 로고
    • Evolutionary computation and face recognition
    • eds. H. Wechsler, J.P. Phillips, V. Bruce, F. Fogelman-Soulie, and T. Huang, New York: Springer-Verlag.
    • Huang, J., Liu, C., and Wechsler, H. (1998), "Evolutionary Computation and Face Recognition," in Face Recognition: From Theory to Applications, eds. H. Wechsler, J.P. Phillips, V. Bruce, F. Fogelman-Soulie, and T. Huang, New York: Springer-Verlag.
    • (1998) Face Recognition: From Theory to Applications
    • Huang, J.1    Liu, C.2    Wechsler, H.3
  • 26
    • 0011017508 scopus 로고    scopus 로고
    • Seattle, WA
    • Insightful, Inc. (1996), Splus 3.4 (Release 1), Seattle, WA.
    • (1996) Splus 3.4 (Release 1)
  • 27
    • 0002288402 scopus 로고
    • An experimental comparison of binary and floating point representation in GA
    • eds. R. Belew and L. Booker, San Mateo. CA: Morgan Kaufmann Publishers
    • Janikow, C., and Michalewicz, Z. (1991), "An Experimental Comparison of Binary and Floating Point Representation in GA," in Proceedings of Fourth international Conference on Genetic Algorithms, eds. R. Belew and L. Booker, San Mateo. CA: Morgan Kaufmann Publishers, pp. 31-36.
    • (1991) Proceedings of Fourth international Conference on Genetic Algorithms , pp. 31-36
    • Janikow, C.1    Michalewicz, Z.2
  • 28
    • 33747818869 scopus 로고
    • Approximation to data by splines with free knots
    • Jupp, D. (1978), "Approximation to Data by Splines With Free Knots," SIAM Journal of Numerical Analysis, 15, 328-343.
    • (1978) SIAM Journal of Numerical Analysis , vol.15 , pp. 328-343
    • Jupp, D.1
  • 29
    • 0010969707 scopus 로고
    • Improved computer modelling using least median squares curve fitting and genetic algorithms
    • Karr, C., and Weck, B. (1995), "Improved Computer Modelling Using Least Median Squares Curve Fitting and Genetic Algorithms," Fluid/Practice Separation Journal, 8, 117-124.
    • (1995) Fluid/Practice Separation Journal , vol.8 , pp. 117-124
    • Karr, C.1    Weck, B.2
  • 30
    • 85031179964 scopus 로고
    • Technical Report CS-R 9409, Department of Mathematics and Computing Science, University of Groningen, The Netherlands
    • Lankhorst, M., and van der Laan, M. (1994), "Wavelet-Based Signal Approximation With Genetic Algorithms," Technical Report CS-R 9409, Department of Mathematics and Computing Science, University of Groningen, The Netherlands.
    • (1994) Wavelet-Based Signal Approximation With Genetic Algorithms
    • Lankhorst, M.1    Van der Laan, M.2
  • 31
    • 0011053447 scopus 로고
    • A robust method for multiple linear regression
    • Lenth, R. (1977), "A Robust Method for Multiple Linear Regression," Communications in Statistics A, 6, 847-854.
    • (1977) Communications in Statistics A , vol.6 , pp. 847-854
    • Lenth, R.1
  • 32
    • 0026782330 scopus 로고
    • Optimization of calibration data with the dynamic genetic algorithm
    • Li, T.-H., Lucasius, C., and Katennan, G. (1992), "Optimization of Calibration Data With the Dynamic Genetic Algorithm," Analytica Chimica Acta, 2768, 123-134.
    • (1992) Analytica Chimica Acta , vol.2768 , pp. 123-134
    • Li, T.-H.1    Lucasius, C.2    Katennan, G.3
  • 38
    • 0002825959 scopus 로고
    • Handling constraints in genetic algorithms
    • eds. R. Belew and L.B. Booker, San Mateo. CA: Morgan Kaufmann Publishers
    • Michalewicz, Z., and Janikow, C. (1991), "Handling Constraints in Genetic Algorithms", in Proceedings of the Fourth International Conference on Genetic Algorithms, eds. R. Belew and L.B. Booker, San Mateo. CA: Morgan Kaufmann Publishers, pp. 151-157.
    • (1991) Proceedings of the Fourth International Conference on Genetic Algorithms , pp. 151-157
    • Michalewicz, Z.1    Janikow, C.2
  • 41
    • 0028207766 scopus 로고
    • Theoretical analysis of evolutionary algorithms with an infinite population size in continuous space part I: Basic properties of selection and mutation
    • Qi, X., and Palmieri, F. (1994), "Theoretical Analysis of Evolutionary Algorithms With an Infinite Population Size in Continuous Space Part I: Basic Properties of Selection and Mutation," IEEE Transactions on Neural Networks, 5, 102-119.
    • (1994) IEEE Transactions on Neural Networks , vol.5 , pp. 102-119
    • Qi, X.1    Palmieri, F.2
  • 42
    • 0002485432 scopus 로고
    • G/SPLINES: A hybrid of Friedman's multivariate adaptive regression splines (MARS) algorithm with Holland's genetic algorithm
    • eds. R.K. Belew and L.B. Hooker, San Mateo, CA: Morgan Kaufmann
    • Rogers, D. (1991), "G/SPLINES: A hybrid of Friedman's Multivariate Adaptive Regression Splines (MARS) Algorithm with Holland's Genetic Algorithm," in Proceedings of the Fourth International Conference on Genetic Algorithms, eds. R.K. Belew and L.B. Hooker, San Mateo, CA: Morgan Kaufmann, pp. 384-391.
    • (1991) Proceedings of the Fourth International Conference on Genetic Algorithms , pp. 384-391
    • Rogers, D.1
  • 43
    • 0028467707 scopus 로고
    • Application of genetic function approximation to quantitative structure-activity relationships and quantitative structure-property relationships
    • Rogers, D., and Hopfinger, A. (1994), "Application of Genetic Function Approximation to Quantitative Structure-Activity Relationships and Quantitative Structure-Property Relationships," Journal of Chemical Information and Computer Sciences, 34, 854-866.
    • (1994) Journal of Chemical Information and Computer Sciences , vol.34 , pp. 854-866
    • Rogers, D.1    Hopfinger, A.2
  • 45
    • 0013017017 scopus 로고
    • Least squares approximation by splines with free knots
    • Schwetlick, H., and Schütze, T. (1995), "Least Squares Approximation by Splines With Free Knots," BIT. Numerical Mathematics, 35, 361-384.
    • (1995) BIT. Numerical Mathematics , vol.35 , pp. 361-384
    • Schwetlick, H.1    Schütze, T.2
  • 46
    • 0000307942 scopus 로고    scopus 로고
    • Variable selection and function estimation in additive nonparametric regression using a data-based prior
    • with discussion
    • Shively, T., Kohn, R., and Wood, S. (1999), "Variable Selection and Function Estimation in Additive Nonparametric Regression using a Data-Based Prior" (with discussion), Journal of the American Statistical Association, 94, 777-807.
    • (1999) Journal of the American Statistical Association , vol.94 , pp. 777-807
    • Shively, T.1    Kohn, R.2    Wood, S.3
  • 47
    • 0000824232 scopus 로고    scopus 로고
    • Nonparametric regression using Bayesian variable selection
    • Smith, M., and Kohn, R. (1996), "Nonparametric Regression Using Bayesian Variable Selection," Journal of Econometrics, 75, 317-344.
    • (1996) Journal of Econometrics , vol.75 , pp. 317-344
    • Smith, M.1    Kohn, R.2
  • 48
    • 0000629975 scopus 로고
    • Cross-validatory choice and assessment of statistical predictions
    • with discussion
    • Stone, C. (1974), "Cross-Validatory Choice and Assessment of Statistical Predictions" (with discussion), Journal of the Royal Statistical Society, Series B, 36, pp. 111-147.
    • (1974) Journal of the Royal Statistical Society, Series B , vol.36 , pp. 111-147
    • Stone, C.1
  • 49
    • 0031484203 scopus 로고    scopus 로고
    • Polynomial splines and their tensor products in extended linear modeling
    • with discussion
    • Stone, C., Hansen, M., Kooperberg, C., and Troung, Y. (1997), "Polynomial Splines and Their Tensor Products in Extended Linear Modeling" (with discussion), The Annals of Statistics, 25, 1371-1470.
    • (1997) The Annals of Statistics , vol.25 , pp. 1371-1470
    • Stone, C.1    Hansen, M.2    Kooperberg, C.3    Troung, Y.4
  • 50
    • 0001539229 scopus 로고
    • Discussion of "monotone regression splines in action"
    • J. Ramsay
    • Wahba, G. (1988), Discussion of "Monotone Regression Splines in Action," by J. Ramsay, Statistical Science, 3, 425-462.
    • (1988) Statistical Science , vol.3 , pp. 425-462
    • Wahba, G.1
  • 51
    • 0030197198 scopus 로고    scopus 로고
    • Cooperative-competitive genetic evolution of radial basis function centers and widths for time series prediction
    • Whitehead, B., and Choate, T. (1996), "Cooperative-Competitive Genetic Evolution of Radial Basis Function Centers and Widths for Time Series Prediction," IEEE Transactions on Neural Networks, 7, 869-880.
    • (1996) IEEE Transactions on Neural Networks , vol.7 , pp. 869-880
    • Whitehead, B.1    Choate, T.2
  • 52
    • 0011039456 scopus 로고
    • Alternatives to neural networks: Genetic algorithms and non-linear biased regression
    • ed. P. Keller, Richland, WA: Pacific Northwest National Laboratory.
    • Wise, B. (1994), "Alternatives to Neural Networks: Genetic Algorithms and Non-linear Biased Regression," in Proceedings of the Neural Network Workshop for the Hanford Community, ed. P. Keller, Richland, WA: Pacific Northwest National Laboratory.
    • (1994) Proceedings of the Neural Network Workshop for the Hanford Community
    • Wise, B.1
  • 53
    • 0032351389 scopus 로고    scopus 로고
    • On measuring and correcting the effects of data mining and model selection
    • Ye, J. (1998), "On Measuring and Correcting the Effects of Data Mining and Model Selection," Journal of the American Statistical Association, 93, pp. 120-131.
    • (1998) Journal of the American Statistical Association , vol.93 , pp. 120-131
    • Ye, J.1
  • 54
    • 0032011973 scopus 로고    scopus 로고
    • A rational combinatorial library design. FOCUS-2D: A new approach to the design of targeted combinatorial chemical libraries
    • Zheng, W., Cho, S., and Tropsha, A. (1998), "A Rational Combinatorial Library Design. FOCUS-2D: A New Approach to the Design of Targeted Combinatorial Chemical Libraries," Journal of Chemical Information and Computer Sciences, 38, 251-258.
    • (1998) Journal of Chemical Information and Computer Sciences , vol.38 , pp. 251-258
    • Zheng, W.1    Cho, S.2    Tropsha, A.3
  • 55
    • 0032263988 scopus 로고    scopus 로고
    • Local asymptotics for regression splines and confidence regions
    • Zhou, S., Shen, X., and Wolfe, D. (1998), "Local Asymptotics for Regression Splines and Confidence Regions," The Annals of Statistics, 26, pp. 1760-1782.
    • (1998) The Annals of Statistics , vol.26 , pp. 1760-1782
    • Zhou, S.1    Shen, X.2    Wolfe, D.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.