메뉴 건너뛰기




Volumn 2017-December, Issue , 2017, Pages 2140-2149

Elementary symmetric polynomials for optimal experimental design

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION ALGORITHMS; COMPUTATION THEORY; OPTIMAL SYSTEMS; RELAXATION PROCESSES; STATISTICS;

EID: 85047013635     PISSN: 10495258     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper
Times cited : (19)

References (48)
  • 2
    • 84892412888 scopus 로고    scopus 로고
    • Faster subset selection for matrices and applications
    • H. Avron and C. Boutsidis. Faster subset selection for matrices and applications. SIAM J. Matrix Analysis Applications, 34(4):1464-1499, 2013.
    • (2013) SIAM J. Matrix Analysis Applications , vol.34 , Issue.4 , pp. 1464-1499
    • Avron, H.1    Boutsidis, C.2
  • 3
    • 0020207939 scopus 로고
    • An algorithm for separating patterns by ellipsoids
    • E. R. Barnes. An algorithm for separating patterns by ellipsoids. IBM Journal of Research and Development, 26:759-764, 1982.
    • (1982) IBM Journal of Research and Development , vol.26 , pp. 759-764
    • Barnes, E.R.1
  • 8
    • 84972528615 scopus 로고
    • Bayesian experimental design: A review
    • K. Chaloner and I. Verdinelli. Bayesian experimental design: A review. Statistical Science, 10:273-304, 1995.
    • (1995) Statistical Science , vol.10 , pp. 273-304
    • Chaloner, K.1    Verdinelli, I.2
  • 9
    • 0003328374 scopus 로고
    • Neural network exploration using optimal experiment design
    • Morgan Kaufmann
    • D. A. Cohn. Neural network exploration using optimal experiment design. In Neural Networks, pages 679-686. Morgan Kaufmann, 1994.
    • (1994) Neural Networks , pp. 679-686
    • Cohn, D.A.1
  • 12
    • 84970016497 scopus 로고    scopus 로고
    • An efficient hybrid algorithm for the separable convex quadratic knapsack problem
    • T. A. Davis, W. W. Hager, and J. T. Hungerford. An efficient hybrid algorithm for the separable convex quadratic knapsack problem. ACM Trans. Math. Softw., 42(3):22:1-22:25 2016.
    • (2016) ACM Trans. Math. Softw. , vol.42 , Issue.3 , pp. 221-2225
    • Davis, T.A.1    Hager, W.W.2    Hungerford, J.T.3
  • 13
    • 33751012095 scopus 로고    scopus 로고
    • Locally d-optimal designs for exponential regression models
    • H. Dette, V. B. Melas, and W. K. Wong. Locally d-optimal designs for exponential regression models. Statistica Sinica, 16(3):789-803, 2006.
    • (2006) Statistica Sinica , vol.16 , Issue.3 , pp. 789-803
    • Dette, H.1    Melas, V.B.2    Wong, W.K.3
  • 16
    • 0001049212 scopus 로고
    • Optimum allocation in linear regression theory
    • G. Elfving. Optimum allocation in linear regression theory. Ann. Math. Statist., 23(2):255-262, 1952.
    • (1952) Ann. Math. Statist. , vol.23 , Issue.2 , pp. 255-262
    • Elfving, G.1
  • 17
    • 0004264698 scopus 로고
    • Probability and mathematical statistics. Academic Press
    • V. Fedorov. Theory of optimal experiments. Probability and mathematical statistics. Academic Press, 1972.
    • (1972) Theory of Optimal Experiments
    • Fedorov, V.1
  • 18
    • 84887443436 scopus 로고    scopus 로고
    • Neighborhood preserving d-optimal design for active learning and its application to terrain classification
    • Y. Gu and Z. Jin. Neighborhood preserving d-optimal design for active learning and its application to terrain classification. Neural Computing and Applications, 23(7):2085-2092, 2013.
    • (2013) Neural Computing and Applications , vol.23 , Issue.7 , pp. 2085-2092
    • Gu, Y.1    Jin, Z.2
  • 19
    • 72949097899 scopus 로고    scopus 로고
    • Laplacian regularized d-optimal design for active learning and its application to image retrieval
    • X. He. Laplacian regularized d-optimal design for active learning and its application to image retrieval. IEEE Trans. Image Processing, 19(1):254-263, 2010.
    • (2010) IEEE Trans. Image Processing , vol.19 , Issue.1 , pp. 254-263
    • He, X.1
  • 22
    • 1642414361 scopus 로고    scopus 로고
    • Robust principal component analysis and outlier detection with ecological data
    • D. A. Jackson and Y. Chen. Robust principal component analysis and outlier detection with ecological data. Environmetrics, 15(2):129-139, 2004.
    • (2004) Environmetrics , vol.15 , Issue.2 , pp. 129-139
    • Jackson, D.A.1    Chen, Y.2
  • 23
    • 79958777118 scopus 로고    scopus 로고
    • Derivatives for antisymmetric tensor powers and perturbation bounds
    • T. Jain. Derivatives for antisymmetric tensor powers and perturbation bounds. Linear Algebra and its Applications, 435(5):1111-1121, 2011.
    • (2011) Linear Algebra and its Applications , vol.435 , Issue.5 , pp. 1111-1121
    • Jain, T.1
  • 24
    • 84935922837 scopus 로고    scopus 로고
    • Symmetric polynomials in information theory: Entropy and subentropy
    • R. Jozsa and G. Mitchison. Symmetric polynomials in information theory: Entropy and subentropy. Journal of Mathematical Physics, 56(6), 2015.
    • (2015) Journal of Mathematical Physics , vol.56 , Issue.6
    • Jozsa, R.1    Mitchison, G.2
  • 25
    • 33846692630 scopus 로고    scopus 로고
    • Design issues for generalized linear models: A review
    • A. I. Khuri, B. Mukherjee, B. K. Sinha, and M. Ghosh. Design issues for generalized linear models: A review. Statist. Sci., 21(3):376-399, 2006.
    • (2006) Statist. Sci. , vol.21 , Issue.3 , pp. 376-399
    • Khuri, A.I.1    Mukherjee, B.2    Sinha, B.K.3    Ghosh, M.4
  • 26
    • 0016750579 scopus 로고
    • Optimal design: Variation in structure and performance under change of criterion
    • J. Kiefer. Optimal design: Variation in structure and performance under change of criterion. Biometrika, 62:277-288, 1975.
    • (1975) Biometrika , vol.62 , pp. 277-288
    • Kiefer, J.1
  • 27
    • 41549146576 scopus 로고    scopus 로고
    • Near-optimal sensor placements in Gaussian processes: Theory, efficient algorithms and empirical studies
    • A. Krause, A. Singh, and C. Guestrin. Near-optimal sensor placements in gaussian processes: Theory, efficient algorithms and empirical studies. Journal of Machine Learning Research, 9(Feb):235-284, 2008.
    • (2008) Journal of Machine Learning Research , vol.9 , Issue.FEB , pp. 235-284
    • Krause, A.1    Singh, A.2    Guestrin, C.3
  • 28
    • 77955658249 scopus 로고    scopus 로고
    • The use of design of experiments to improve a neural network model in order to predict the thickness of the chromium layer in a hard chromium plating process
    • F. S. Lasheras, J. V. Vilán, P. G. Nieto, and J. del Coz Díaz. The use of design of experiments to improve a neural network model in order to predict the thickness of the chromium layer in a hard chromium plating process. Mathematical and Computer Modelling, 52(78):1169-1176, 2010.
    • (2010) Mathematical and Computer Modelling , vol.52 , Issue.78 , pp. 1169-1176
    • Lasheras, F.S.1    Vilán, J.V.2    Nieto, P.G.3    Del Coz Díaz, J.4
  • 29
    • 0030205038 scopus 로고    scopus 로고
    • Derivatives of spectral functions
    • A. S. Lewis. Derivatives of spectral functions. Math. Oper. Res., 21(3):576-588, 1996.
    • (1996) Math. Oper. Res. , vol.21 , Issue.3 , pp. 576-588
    • Lewis, A.S.1
  • 31
    • 21844520726 scopus 로고
    • A fedorov exchange algorithm for d-optimal design
    • A. J. Miller and N.-K. Nguyen. A fedorov exchange algorithm for d-optimal design. Applied Statistics, 43:669-677, 1994.
    • (1994) Applied Statistics , vol.43 , pp. 669-677
    • Miller, A.J.1    Nguyen, N.-K.2
  • 32
    • 84976128831 scopus 로고
    • Inequalities concerning the inverses of positive definite matrices
    • W. W. Muir. Inequalities concerning the inverses of positive definite matrices. Proceedings of the Edinburgh Mathematical Society, 19(2):109113, 1974.
    • (1974) Proceedings of the Edinburgh Mathematical Society , vol.19 , Issue.2 , pp. 109113
    • Muir, W.W.1
  • 37
    • 0035729224 scopus 로고    scopus 로고
    • Depth-3 arithmetic circuits over fields of characteristic zero
    • A. Shpilka and A. Wigderson. Depth-3 arithmetic circuits over fields of characteristic zero. computational complexity, 10(1):1-27, 2001.
    • (2001) Computational Complexity , vol.10 , Issue.1 , pp. 1-27
    • Shpilka, A.1    Wigderson, A.2
  • 39
    • 85047006405 scopus 로고    scopus 로고
    • Breaking the bonds of submodularity: Empirical estimation of approximation ratios for monotone non-submodular greedy maximization
    • J. D. Smith and M. T. Thai. Breaking the bonds of submodularity: Empirical estimation of approximation ratios for monotone non-submodular greedy maximization. CoRR, abs/1702.07002, 2017.
    • (2017) CoRR
    • Smith, J.D.1    Thai, M.T.2
  • 40
    • 84983354772 scopus 로고    scopus 로고
    • Conic geometric optimization on the manifold of positive definite matrices
    • S. Sra and R. Hosseini. Conic Geometric Optimization on the Manifold of Positive Definite Matrices. SIAM J. Optimization (SIOPT), 25(1):713-739, 2015.
    • (2015) SIAM J. Optimization (SIOPT) , vol.25 , Issue.1 , pp. 713-739
    • Sra, S.1    Hosseini, R.2
  • 41
    • 8344259908 scopus 로고    scopus 로고
    • Computation of minimum-volume covering ellipsoids
    • P. Sun and R. M. Freund. Computation of minimum-volume covering ellipsoids. Operations Research, 52(5):690-706, 2004.
    • (2004) Operations Research , vol.52 , Issue.5 , pp. 690-706
    • Sun, P.1    Freund, R.M.2
  • 42
    • 85031769370 scopus 로고    scopus 로고
    • Society for Industrial and Applied Mathematics
    • M. Todd. Minimum-Volume Ellipsoids. Society for Industrial and Applied Mathematics, 2016.
    • (2016) Minimum-Volume ellipsoids
    • Todd, M.1
  • 43
    • 0032397913 scopus 로고    scopus 로고
    • Determinant maximization with linear matrix inequality constraints
    • L. Vandenberghe, S. Boyd, and S.-P. Wu. Determinant maximization with linear matrix inequality constraints. SIAM J. Matrix Anal. Appl., 19(2):499-533, 1998.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.19 , Issue.2 , pp. 499-533
    • Vandenberghe, L.1    Boyd, S.2    Wu, S.-P.3
  • 45
    • 84953639306 scopus 로고    scopus 로고
    • Approximation for maximizing monotone non-decreasing set functions with a greedy method
    • Z. Wang, B. Moran, X. Wang, and Q. Pan. Approximation for maximizing monotone non-decreasing set functions with a greedy method. J. Comb. Optim., 31(1):29-43, 2016.
    • (2016) J. Comb. Optim. , vol.31 , Issue.1 , pp. 29-43
    • Wang, Z.1    Moran, B.2    Wang, X.3    Pan, Q.4
  • 46
    • 85047003258 scopus 로고    scopus 로고
    • Fisher information based meter placement in distribution grids via the d-optimal experimental design
    • T. C. Xygkis, G. N. Korres, and N. M. Manousakis. Fisher information based meter placement in distribution grids via the d-optimal experimental design. IEEE Transactions on Smart Grid, PP(99), 2016.
    • (2016) IEEE Transactions on Smart Grid , vol.PP , Issue.99
    • Xygkis, T.C.1    Korres, G.N.2    Manousakis, N.M.3
  • 47
    • 0032295215 scopus 로고    scopus 로고
    • Modeling of strength of high-performance concrete using artificial neural networks
    • I.-C. Yeh. Modeling of strength of high-performance concrete using artificial neural networks. Cement and Concrete Research, 28(12):1797-1808, 1998.
    • (1998) Cement and Concrete Research , vol.28 , Issue.12 , pp. 1797-1808
    • Yeh, I.-C.1
  • 48
    • 77951490911 scopus 로고    scopus 로고
    • Monotonic convergence of a general algorithm for computing optimal designs
    • Y. Yu. Monotonic convergence of a general algorithm for computing optimal designs. Ann. Statist., 38(3):1593-1606, 2010.
    • (2010) Ann. Statist. , vol.38 , Issue.3 , pp. 1593-1606
    • Yu, Y.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.