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Journal articles on the topic 'Nonasymptotic'

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Author: Grafiati

Published: 1 June 2024

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1

Berry, Kenneth J., and Paul W. Mielke. "Nonasymptotic Probability Values for Cochran's Q Statistic: A Fortran 77 Program." Perceptual and Motor Skills 82, no. 1 (February 1996): 303–6. http://dx.doi.org/10.2466/pms.1996.82.1.303.

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A nonasymptotic inference procedure for Cochran's Q test for the equality of matched proportions is described. An algorithm and FORTRAN 77 program are provided to compute Cochran's Q test statistic and the associated nonasymptotic probability value. The nonasymptotic method provides improvement over the usual asymptotic chi-squared analysis procedure whenever the effective number of subjects is small or the number of successes is small.

2

Mielke, Paul W., and Kenneth J. Berry. "Categorical Independence Tests for Large Sparse R-Way Contingency Tables." Perceptual and Motor Skills 95, no. 2 (October 2002): 606–10. http://dx.doi.org/10.2466/pms.2002.95.2.606.

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A nonasymptotic chi-squared technique is shown to have very useful properties for the analysis of large sparse r-way contingency tables. Examples of analyses of 4 × 5, 5 × 6, 6 × 7. and two 2 × 2 × 2 sparse contingency tables provide comparisons of the nonasymptotic chi-squared technique with asymptotic chi-squared and exact chi-squared techniques. The asymptotic chi-squared analyses yield inflated probability values for the five tables. The nonasymptotic chi-squared technique yields probability values much closer to the exact probability values than the asymptotic chi-squared Technique for the five tables.

3

Mielke, Paul W., and Kenneth J. Berry. "Nonasymptotic Inferences Based on Cochran's Q Test." Perceptual and Motor Skills 81, no. 1 (August 1995): 319–22. http://dx.doi.org/10.2466/pms.1995.81.1.319.

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A nonasymptotic inference procedure for Cochran's Q test for the equality of matched proportions is presented. The nonasymptotic method provides improvement over the asymptotic method when there is a small number of subjects and/or a relatively small proportion of successes for subjects.

4

Tembine, Hamidou. "Nonasymptotic Mean-Field Games." IFAC Proceedings Volumes 47, no. 3 (2014): 8989–94. http://dx.doi.org/10.3182/20140824-6-za-1003.01869.

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5

Tembine, Hamidou. "Nonasymptotic Mean-Field Games." IEEE Transactions on Cybernetics 44, no. 12 (December 2014): 2744–56. http://dx.doi.org/10.1109/tcyb.2014.2315171.

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6

Ibrahim, Sharif, Kevin Sonnanburg, Thomas J. Asaki, and Kevin R. Vixie. "Nonasymptotic Densities for Shape Reconstruction." Abstract and Applied Analysis 2014 (2014): 1–14. http://dx.doi.org/10.1155/2014/341910.

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In this work, we study the problem of reconstructing shapes from simple nonasymptotic densities measured only along shape boundaries. The particular density we study is also known as the integral area invariant and corresponds to the area of a disk centered on the boundary that is also inside the shape. It is easy to show uniqueness when these densities are known for all radii in a neighborhood ofr=0, but much less straightforward when we assume that we only know the area invariant and its derivatives for only oner>0. We present variations of uniqueness results for reconstruction (modulo translation and rotation) of polygons and (a dense set of) smooth curves under certain regularity conditions.

7

Kostina, Victoria, and Sergio Verde. "Nonasymptotic Noisy Lossy Source Coding." IEEE Transactions on Information Theory 62, no. 11 (November 2016): 6111–23. http://dx.doi.org/10.1109/tit.2016.2562008.

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8

Yang, Wei, Rafael F. Schaefer, and H. Vincent Poor. "Wiretap Channels: Nonasymptotic Fundamental Limits." IEEE Transactions on Information Theory 65, no. 7 (July 2019): 4069–93. http://dx.doi.org/10.1109/tit.2019.2904500.

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9

Ben-Yashar, Ruth, and Jacob Paroush. "A nonasymptotic Condorcet jury theorem." Social Choice and Welfare 17, no. 2 (March 9, 2000): 189–99. http://dx.doi.org/10.1007/s003550050014.

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10

Tarantino, Angelo Marcello. "Nonasymptotic solution for antiplane cracks." Meccanica 27, no. 4 (1992): 307–10. http://dx.doi.org/10.1007/bf00424371.

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11

Farrell, Max H., Tengyuan Liang, and Sanjog Misra. "Deep Neural Networks for Estimation and Inference." Econometrica 89, no. 1 (2021): 181–213. http://dx.doi.org/10.3982/ecta16901.

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We study deep neural networks and their use in semiparametric inference. We establish novel nonasymptotic high probability bounds for deep feedforward neural nets. These deliver rates of convergence that are sufficiently fast (in some cases minimax optimal) to allow us to establish valid second‐step inference after first‐step estimation with deep learning, a result also new to the literature. Our nonasymptotic high probability bounds, and the subsequent semiparametric inference, treat the current standard architecture: fully connected feedforward neural networks (multilayer perceptrons), with the now‐common rectified linear unit activation function, unbounded weights, and a depth explicitly diverging with the sample size. We discuss other architectures as well, including fixed‐width, very deep networks. We establish the nonasymptotic bounds for these deep nets for a general class of nonparametric regression‐type loss functions, which includes as special cases least squares, logistic regression, and other generalized linear models. We then apply our theory to develop semiparametric inference, focusing on causal parameters for concreteness, and demonstrate the effectiveness of deep learning with an empirical application to direct mail marketing.

12

Panov, M. E. "Nonasymptotic approach to Bayesian semiparametric inference." Doklady Mathematics 93, no. 2 (March 2016): 155–58. http://dx.doi.org/10.1134/s1064562416020101.

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13

Bretagnolle, J., and P. Massart. "Hungarian Constructions from the Nonasymptotic Viewpoint." Annals of Probability 17, no. 1 (January 1989): 239–56. http://dx.doi.org/10.1214/aop/1176991506.

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14

Paouris, G., P. Pivovarov, and P. Valettas. "Gaussian Convex Bodies: a Nonasymptotic Approach." Journal of Mathematical Sciences 238, no. 4 (March 22, 2019): 537–59. http://dx.doi.org/10.1007/s10958-019-04256-3.

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15

Bou-Rabee, N., and M. Hairer. "Nonasymptotic mixing of the MALA algorithm." IMA Journal of Numerical Analysis 33, no. 1 (March 19, 2012): 80–110. http://dx.doi.org/10.1093/imanum/drs003.

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16

Birge, Lucien. "The Grenader Estimator: A Nonasymptotic Approach." Annals of Statistics 17, no. 4 (December 1989): 1532–49. http://dx.doi.org/10.1214/aos/1176347380.

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17

Boffetta, G., A. Celani, M. Cencini, G. Lacorata, and A. Vulpiani. "Nonasymptotic properties of transport and mixing." Chaos: An Interdisciplinary Journal of Nonlinear Science 10, no. 1 (March 2000): 50–60. http://dx.doi.org/10.1063/1.166475.

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18

Schobinger, Markus, Karl Hollaus, and Igor Tsukerman. "Nonasymptotic Homogenization of Laminated Magnetic Cores." IEEE Transactions on Magnetics 56, no. 2 (February 2020): 1–4. http://dx.doi.org/10.1109/tmag.2019.2943463.

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19

Tang, S., J. V. Sengers, and Z. Y. Chen. "Nonasymptotic critical thermodynamical behavior of fluids." Physica A: Statistical Mechanics and its Applications 179, no. 3 (December 1991): 344–77. http://dx.doi.org/10.1016/0378-4371(91)90084-p.

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20

Hartmann, Carsten, and Lorenz Richter. "Nonasymptotic Bounds for Suboptimal Importance Sampling." SIAM/ASA Journal on Uncertainty Quantification 12, no. 2 (April 15, 2024): 309–46. http://dx.doi.org/10.1137/21m1427760.

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21

Kulkarni, Ankur A., and Negar Kiyavash. "Nonasymptotic Upper Bounds for Deletion Correcting Codes." IEEE Transactions on Information Theory 59, no. 8 (August 2013): 5115–30. http://dx.doi.org/10.1109/tit.2013.2257917.

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22

Zielinski, Ryszard. "Stable estimation of location parameter -nonasymptotic approach." Statistics 19, no. 2 (January 1988): 229–31. http://dx.doi.org/10.1080/02331888808802091.

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23

Niedzwiecki, M., and L. Guo. "Nonasymptotic results for finite-memory WLS filters." IEEE Transactions on Automatic Control 36, no. 2 (1991): 198–206. http://dx.doi.org/10.1109/9.67295.

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24

Polyakov, A. "Discontinuous Lyapunov Functions for Nonasymptotic Stability Analysis." IFAC Proceedings Volumes 47, no. 3 (2014): 5455–60. http://dx.doi.org/10.3182/20140824-6-za-1003.00867.

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25

Kadalbajoo, M. K., and Y. N. Reddy. "A nonasymptotic method for singular perturbation problems." Journal of Optimization Theory and Applications 55, no. 1 (October 1987): 73–84. http://dx.doi.org/10.1007/bf00939045.

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26

Csáji, Balázs Csanád, and Bálint Horváth. "Improving Kernel-Based Nonasymptotic Simultaneous Confidence Bands." IFAC-PapersOnLine 56, no. 2 (2023): 10357–62. http://dx.doi.org/10.1016/j.ifacol.2023.10.1047.

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27

Berry, Kenneth J., and Paul W. Mielke. "Nonasymptotic Significance Tests for Two Measures of Agreement." Perceptual and Motor Skills 93, no. 1 (August 2001): 109–14. http://dx.doi.org/10.2466/pms.2001.93.1.109.

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28

BERRY, KENNETH. "NONASYMPTOTIC SIGNIFICANCE TESTS FOR TWO MEASURES OF AGREEMENT." Perceptual and Motor Skills 93, no. 5 (2001): 109. http://dx.doi.org/10.2466/pms.93.5.109-114.

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29

Yang, En-Hui, and Jin Meng. "New Nonasymptotic Channel Coding Theorems for Structured Codes." IEEE Transactions on Information Theory 61, no. 9 (September 2015): 4534–53. http://dx.doi.org/10.1109/tit.2015.2449852.

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30

Gutkowski, Karin I., Hugo L. Bianchi, and M. Laura Japas. "Nonasymptotic Critical Behavior of a Ternary Ionic System." Journal of Physical Chemistry B 111, no. 10 (March 2007): 2554–64. http://dx.doi.org/10.1021/jp067069z.

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31

Riabiz, Marina, Tohid Ardeshiri, Ioannis Kontoyiannis, and Simon Godsill. "Nonasymptotic Gaussian Approximation for Inference With Stable Noise." IEEE Transactions on Information Theory 66, no. 8 (August 2020): 4966–91. http://dx.doi.org/10.1109/tit.2020.2996135.

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32

Ding, Yichuan, Dongdong Ge, Simai He, and Christopher Thomas Ryan. "A Nonasymptotic Approach to Analyzing Kidney Exchange Graphs." Operations Research 66, no. 4 (August 2018): 918–35. http://dx.doi.org/10.1287/opre.2017.1717.

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33

Levrard, Clément. "Nonasymptotic bounds for vector quantization in Hilbert spaces." Annals of Statistics 43, no. 2 (April 2015): 592–619. http://dx.doi.org/10.1214/14-aos1293.

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34

Durmus, Alain, and Éric Moulines. "Nonasymptotic convergence analysis for the unadjusted Langevin algorithm." Annals of Applied Probability 27, no. 3 (June 2017): 1551–87. http://dx.doi.org/10.1214/16-aap1238.

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35

Long, Yin, Zhi Chen, and Jun Fang. "Nonasymptotic Analysis of Capacity in Massive MIMO Systems." IEEE Wireless Communications Letters 4, no. 5 (October 2015): 541–44. http://dx.doi.org/10.1109/lwc.2015.2454509.

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36

Zambianchi, Vincenzo, Francesca Bassi, Alex Calisti, Davide Dardari, Michel Kieffer, and Gianni Pasolini. "Distributed Nonasymptotic Confidence Region Computation Over Sensor Networks." IEEE Transactions on Signal and Information Processing over Networks 4, no. 2 (June 2018): 308–24. http://dx.doi.org/10.1109/tsipn.2017.2695403.

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37

Majka, Mateusz B., Aleksandar Mijatović, and Łukasz Szpruch. "Nonasymptotic bounds for sampling algorithms without log-concavity." Annals of Applied Probability 30, no. 4 (August 2020): 1534–81. http://dx.doi.org/10.1214/19-aap1535.

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38

Boyer, E., P. Forster, and P. Larzabal. "Nonasymptotic Performance Analysis of Beamforming With Stochastic Signals." IEEE Signal Processing Letters 11, no. 1 (January 2004): 23–25. http://dx.doi.org/10.1109/lsp.2003.819358.

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39

Boyer, E., P. Forster, and P. Larzabal. "Nonasymptotic Statistical Performance of Beamforming for Deterministic Signals." IEEE Signal Processing Letters 11, no. 1 (January 2004): 20–22. http://dx.doi.org/10.1109/lsp.2003.819798.

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40

Schirotzek, Winfried. "Nonasymptotic necessary conditions for nonsmooth infinite optimization problems." Journal of Mathematical Analysis and Applications 118, no. 2 (September 1986): 535–46. http://dx.doi.org/10.1016/0022-247x(86)90280-5.

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41

Berry, Kenneth J., and Paul W. Mielke. "Spearman's Footrule as a Measure of Agreement." Psychological Reports 80, no. 3 (June 1997): 839–46. http://dx.doi.org/10.2466/pr0.1997.80.3.839.

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Spearman's footrule measure of the relationship between two sets of ranks is shown to be a chance-corrected measure of agreement. The footrule is generalized to include tied ranks and a comparison with Spearman's rank-order correlation coefficient is provided. Procedures to determine the nonasymptotic probability of the footrule with tied ranks are presented.

42

Łatuszyński, Krzysztof, Błażej Miasojedow, and Wojciech Niemiro. "Nonasymptotic bounds on the estimation error of MCMC algorithms." Bernoulli 19, no. 5A (November 2013): 2033–66. http://dx.doi.org/10.3150/12-bej442.

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43

Saha, Ankan, and Ambuj Tewari. "On the Nonasymptotic Convergence of Cyclic Coordinate Descent Methods." SIAM Journal on Optimization 23, no. 1 (January 2013): 576–601. http://dx.doi.org/10.1137/110840054.

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44

Aamari, Eddie, and Clément Levrard. "Nonasymptotic rates for manifold, tangent space and curvature estimation." Annals of Statistics 47, no. 1 (February 2019): 177–204. http://dx.doi.org/10.1214/18-aos1685.

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45

Bayer, Christian, Håkon Hoel, Erik von Schwerin, and Raúl Tempone. "On NonAsymptotic Optimal Stopping Criteria in Monte Carlo Simulations." SIAM Journal on Scientific Computing 36, no. 2 (January 2014): A869—A885. http://dx.doi.org/10.1137/130911433.

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46

Devroye, Luc, and Gábor Lugosi. "Nonasymptotic universal smoothing factors, kernel complexity and Yatracos classes." Annals of Statistics 25, no. 6 (December 1997): 2626–37. http://dx.doi.org/10.1214/aos/1030741088.

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47

Klopp, Olga, and Marianna Pensky. "Sparse high-dimensional varying coefficient model: Nonasymptotic minimax study." Annals of Statistics 43, no. 3 (June 2015): 1273–99. http://dx.doi.org/10.1214/15-aos1309.

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48

Luo, Jingjing, Li Yu, Jinbei Zhang, and Xinbing Wang. "Nonasymptotic Multicast Throughput and Delay in Multihop Wireless Networks." IEEE Transactions on Vehicular Technology 65, no. 7 (July 2016): 5525–37. http://dx.doi.org/10.1109/tvt.2015.2465963.

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49

Datta, Somnath. "Some Nonasymptotic Bounds for $L_1$ Density Estimation using Kernels." Annals of Statistics 20, no. 3 (September 1992): 1658–67. http://dx.doi.org/10.1214/aos/1176348791.

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50

Birge, Lucien. "Estimating a Density under Order Restrictions: Nonasymptotic Minimax Risk." Annals of Statistics 15, no. 3 (September 1987): 995–1012. http://dx.doi.org/10.1214/aos/1176350488.

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