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Journal articles on the topic 'Minimax'

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Published: 4 June 2021

Last updated: 28 July 2024

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1

Rakhlin, Alexander, Karthik Sridharan, and Alexandre B. Tsybakov. "Empirical entropy, minimax regret and minimax risk." Bernoulli 23, no. 2 (May 2017): 789–824. http://dx.doi.org/10.3150/14-bej679.

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2

Mak, Simon, and V. Roshan Joseph. "Minimax and Minimax Projection Designs Using Clustering." Journal of Computational and Graphical Statistics 27, no. 1 (July 11, 2017): 166–78. http://dx.doi.org/10.1080/10618600.2017.1302881.

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3

Rudlof, Peter. "On Minimax and Related Modules." Canadian Journal of Mathematics 44, no. 1 (February 1, 1992): 154–66. http://dx.doi.org/10.4153/cjm-1992-009-7.

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AbstractA module M is called a minimax module, if it has a finitely generated submodule U such that M/U is Artinian. This paper investigates minimax modules and some generalized classes over commutative Noetherian rings. One of our main results is: M is minimax iff every decomposition of a homomorphic image of M is finite.From this we deduce that:- All couniform modules are minimax.- All modules of finite codimension are minimax.- Essential covers of minimax modules are minimax. With the aid of these corollaries we completely determine the structure of couniform modules and modules of finite codimension.We then examine the following variants of the minimax property:- replace U “ finitely generated” by U “ coatomic” (i.e. every proper submodule of U is contained in a maximal submodule);- replace M/U “ Artinian” by M/U “ semi-Artinian” (i.e. every proper submodule of M/U contains a minimal submodule).

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4

Pitts, Jon T., and J. H. Rubinstein. "Equivariant minimax and minimal surfaces in geometric three-manifolds." Bulletin of the American Mathematical Society 19, no. 1 (July 1, 1988): 303–10. http://dx.doi.org/10.1090/s0273-0979-1988-15652-2.

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5

Wilson, B. J. "Minimax arcs." Discrete Mathematics 92, no. 1-3 (November 1991): 441–50. http://dx.doi.org/10.1016/0012-365x(91)90299-h.

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6

Bucy, R. S., M. K. Namiri, and J. R. Velman. "Minimax control." Computers & Mathematics with Applications 19, no. 4 (1990): 51–63. http://dx.doi.org/10.1016/0898-1221(90)90137-9.

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7

Schechter, Martin. "Minimax systems." Journal of Mathematical Analysis and Applications 345, no. 1 (September 2008): 431–54. http://dx.doi.org/10.1016/j.jmaa.2008.04.033.

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8

Zöschinger, Helmut. "Minimax-Moduln." Journal of Algebra 102, no. 1 (August 1986): 1–32. http://dx.doi.org/10.1016/0021-8693(86)90125-0.

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9

Yahagi, Takashi. "Minimax observers." Electronics and Communications in Japan (Part I: Communications) 69, no. 12 (1986): 45–54. http://dx.doi.org/10.1002/ecja.4410691206.

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10

George, Edward I., Feng Liang, and Xinyi Xu. "From Minimax Shrinkage Estimation to Minimax Shrinkage Prediction." Statistical Science 27, no. 1 (February 2012): 82–94. http://dx.doi.org/10.1214/11-sts383.

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11

Issac, K. Kurien. "A Nondifferentiable Optimization Algorithm for Constrained Minimax Linkage Function Generation." Journal of Mechanical Design 115, no. 4 (December 1, 1993): 978–87. http://dx.doi.org/10.1115/1.2919296.

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This paper describes a nondifferentiable optimization (NDO) algorithm for solving constrained minimax linkage synthesis. Use of a proper characterization of minima makes the algorithm superior to the smooth optimization algorithms for minimax linkage synthesis and the concept of following the curved ravines of the objective function makes it very effective. The results obtained are superior to some of the reported solutions and demonstrate the algorithm’s ability to consistently arrive at actual minima from widely separated starting points. The results indicate that Chebyshev’s characterization is not a necessary condition for minimax linkages, while the characterization used in the algorithm is a proper necessary condition.

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12

Vahidi, A. "Modules with minimax Cousin cohomologies." Algebra and Discrete Mathematics 30, no. 1 (2020): 143–49. http://dx.doi.org/10.12958/adm528.

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Let R be a commutative Noetherian ring with non-zero identity and let X be an arbitrary R-module. In this paper, we show that if all the cohomology modules of the Cousin complex for X are minimax, then the following hold for any prime ideal p of R and for every integer n less than X, the height of p: (i) the nth Bass number of X with respect to p is finite; (ii) the nth local cohomology module of Xp with respect to pRp is Artinian.

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13

Solov'ev, V. N. "Minimax and minimax-Bayesian estimation of linear regression parameters." Russian Mathematical Surveys 51, no. 3 (June 30, 1996): 563–64. http://dx.doi.org/10.1070/rm1996v051n03abeh002946.

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14

Wang, Goufang. "Birkhoff minimax principle for minimal surfaces with a free boundary." Mathematische Annalen 314, no. 1 (May 1, 1999): 89–107. http://dx.doi.org/10.1007/s002080050287.

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15

Barry, Daniel, and John A. Hartigan. "The minimax bookie." Journal of Applied Probability 33, no. 4 (December 1996): 1093–107. http://dx.doi.org/10.2307/3214988.

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A bookmaker makes a book on a horse race: he offers odds against the various horses winning the race, and gamblers accept bets at those odds when they find the odds attractive. The book at a particular time consists of the bookmaker's winnings according to the different outcomes of the race if the race were run at that time. We consider strategies the bookmaker might adopt when deciding how to alter his quoted odds as bets accumulate. The bookmaker is assumed to behave conservatively in the sense that he tries to minimise his expected maximum loss over all possible outcomes of the race.

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16

Levit, B. "Minimax revisited. I." Mathematical Methods of Statistics 19, no. 3 (September 2010): 283–97. http://dx.doi.org/10.3103/s1066530710030051.

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17

Levit, B. "Minimax revisited. II." Mathematical Methods of Statistics 19, no. 4 (December 2010): 299–326. http://dx.doi.org/10.3103/s1066530710040010.

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18

Krener, Arthur J., and Wei Kang. "Rational Minimax Filtering." IFAC Proceedings Volumes 44, no. 1 (January 2011): 1157–61. http://dx.doi.org/10.3182/20110828-6-it-1002.00709.

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19

Ben-Haim, Zvika, and Yonina C. Eldar. "Blind Minimax Estimation." IEEE Transactions on Information Theory 53, no. 9 (September 2007): 3145–57. http://dx.doi.org/10.1109/tit.2007.903118.

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20

Yagli, Semih, Yucel Altug, and Sergio Verdu. "Minimax Rényi Redundancy." IEEE Transactions on Information Theory 64, no. 5 (May 2018): 3715–33. http://dx.doi.org/10.1109/tit.2018.2803070.

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21

Trybuła, Stanisław. "Minimax mutual prediction." Applicationes Mathematicae 27, no. 4 (2000): 437–44. http://dx.doi.org/10.4064/am-27-4-437-444.

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22

Wilczyński, Maciej. "Minimax nonparametric prediction." Applicationes Mathematicae 28, no. 1 (2001): 83–92. http://dx.doi.org/10.4064/am28-1-6.

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23

Blaker, Helge. "Minimax Linear Smoothers." Scandinavian Journal of Statistics 28, no. 1 (March 2001): 151–60. http://dx.doi.org/10.1111/1467-9469.00229.

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24

Baier, Hendrik, and Mark H. M. Winands. "MCTS-Minimax Hybrids." IEEE Transactions on Computational Intelligence and AI in Games 7, no. 2 (June 2015): 167–79. http://dx.doi.org/10.1109/tciaig.2014.2366555.

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25

Vinter, R. B. "Minimax Optimal Control." SIAM Journal on Control and Optimization 44, no. 3 (January 2005): 939–68. http://dx.doi.org/10.1137/s0363012902415244.

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26

Barron, E. N., and R. Jensen. "Relaxed Minimax Control." SIAM Journal on Control and Optimization 33, no. 4 (July 1995): 1028–39. http://dx.doi.org/10.1137/s0363012993250530.

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27

Pinelis, I. F. "On Minimax Risk." Theory of Probability & Its Applications 35, no. 1 (January 1991): 104–9. http://dx.doi.org/10.1137/1135010.

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28

Barry, Daniel, and John A. Hartigan. "The minimax bookie." Journal of Applied Probability 33, no. 04 (December 1996): 1093–107. http://dx.doi.org/10.1017/s0021900200100506.

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A bookmaker makes a book on a horse race: he offers odds against the various horses winning the race, and gamblers accept bets at those odds when they find the odds attractive. The book at a particular time consists of the bookmaker's winnings according to the different outcomes of the race if the race were run at that time. We consider strategies the bookmaker might adopt when deciding how to alter his quoted odds as bets accumulate. The bookmaker is assumed to behave conservatively in the sense that he tries to minimise his expected maximum loss over all possible outcomes of the race.

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29

Borenshtein, O. Yu, and V. S. Shul'man. "A Minimax theorem." Mathematical Notes of the Academy of Sciences of the USSR 50, no. 1 (July 1991): 752–54. http://dx.doi.org/10.1007/bf01156614.

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30

Grubb, A., and C. S. Sharma. "Minimax theory simplified." Il Nuovo Cimento B 100, no. 1 (July 1987): 17–26. http://dx.doi.org/10.1007/bf02829773.

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31

Iverson, Terrence. "Minimax regret discounting." Journal of Environmental Economics and Management 66, no. 3 (November 2013): 598–608. http://dx.doi.org/10.1016/j.jeem.2013.05.003.

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32

Montgomery, H. L. "A random minimax." Russian Mathematical Surveys 66, no. 2 (April 30, 2011): 421–26. http://dx.doi.org/10.1070/rm2011v066n02abeh004743.

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33

Robins, James, Eric Tchetgen Tchetgen, Lingling Li, and Aad van der Vaart. "Semiparametric minimax rates." Electronic Journal of Statistics 3 (2009): 1305–21. http://dx.doi.org/10.1214/09-ejs479.

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34

Ha, C. W. "A minimax theorem." Acta Mathematica Hungarica 101, no. 1/2 (2003): 149–54. http://dx.doi.org/10.1023/b:amhu.0000003898.27696.bd.

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35

Kirkpatrick, David G., and Maria M. Klawe. "Alphabetic Minimax Trees." SIAM Journal on Computing 14, no. 3 (August 1985): 514–26. http://dx.doi.org/10.1137/0214039.

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36

Palacios-Huerta, Ignacio. "Professionals Play Minimax." Review of Economic Studies 70, no. 2 (April 2003): 395–415. http://dx.doi.org/10.1111/1467-937x.00249.

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37

Sattarov, R. N. "Constrained minimax method." Journal of Soviet Mathematics 61, no. 5 (October 1992): 2334–37. http://dx.doi.org/10.1007/bf01097342.

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38

Howe, M. A., B. Rustem, and M. J. P. Selby. "Minimax hedging strategy." Computational Economics 7, no. 4 (December 1994): 245–75. http://dx.doi.org/10.1007/bf01299455.

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39

Eichenauer-Herrmann, J. "Conditional minimax estimates." Journal of Computational and Applied Mathematics 29, no. 3 (March 1990): 369–71. http://dx.doi.org/10.1016/0377-0427(90)90018-u.

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40

Abdus-Samee, Mohammed. "Minimax Fracture Fixation." Injury 36, no. 2 (February 2005): 355. http://dx.doi.org/10.1016/j.injury.2004.04.004.

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41

Vardi, A. "New minimax algorithm." Journal of Optimization Theory and Applications 75, no. 3 (December 1992): 613–34. http://dx.doi.org/10.1007/bf00940496.

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42

Kitahara, Tomonari, Shinji Mizuno, and Kazuhide Nakata. "QUADRATIC AND CONVEX MINIMAX CLASSIFICATION PROBLEMS." Journal of the Operations Research Society of Japan 51, no. 2 (2008): 191–201. http://dx.doi.org/10.15807/jorsj.51.191.

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43

Chen, Bokan, Jianhui Wang, Lizhi Wang, Yanyi He, and Zhaoyu Wang. "Robust Optimization for Transmission Expansion Planning: Minimax Cost vs. Minimax Regret." IEEE Transactions on Power Systems 29, no. 6 (November 2014): 3069–77. http://dx.doi.org/10.1109/tpwrs.2014.2313841.

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44

Chichignoud, M. "Minimax and minimax adaptive estimation in multiplicative regression: locally bayesian approach." Probability Theory and Related Fields 153, no. 3-4 (March 13, 2011): 543–86. http://dx.doi.org/10.1007/s00440-011-0354-7.

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45

Nikol’skii, M. S. "A Minimax Control Model." Moscow University Computational Mathematics and Cybernetics 46, no. 1 (March 2022): 12–17. http://dx.doi.org/10.3103/s0278641922010034.

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46

Matthews, B. F., M. H. MacDonald, Q. J. Song, P. B. Cregan, and K. S. Lewers. "Registration of ‘MiniMax’ Soybean." Journal of Plant Registrations 1, no. 2 (September 2007): 97–98. http://dx.doi.org/10.3198/jpr2006.10.0653crc.

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47

Korf, R. E., and D. M. Chickering. "Best-First Minimax Search." ICGA Journal 19, no. 3 (September 1, 1996): 187. http://dx.doi.org/10.3233/icg-1996-19309.

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48

Novytskyy, Viktor, Oleg Kolomiychuk, and Irina Svyatovets. "Minimax control of gyroscopicsystems." Visnyk of Zaporizhzhya National University. Physical and Mathematical Sciences, no. 2 (2018): 109–14. http://dx.doi.org/10.26661/2413-6549-2018-2-11.

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49

Veeravalli, V. V., T. Basar, and H. V. Poor. "Minimax robust decentralized detection." IEEE Transactions on Information Theory 40, no. 1 (1994): 35–40. http://dx.doi.org/10.1109/18.272453.

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50

Potter, L. C., and Da-Ming Chiang. "Minimax nonredundant channel coding." IEEE Transactions on Communications 43, no. 2/3/4 (February 1995): 804–11. http://dx.doi.org/10.1109/26.380112.

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