A brief survey on probability distribution approximation
Tài liệu tham khảo
Neyman, 1933, On the problem of the most efficient tests of statistical hypotheses, Phil. Trans. R. Soc. A, 231, 289, 10.1098/rsta.1933.0009
Shannon, 1948, A mathematical theory of communication, Bell Syst. Tech. J., 27, 10.1002/j.1538-7305.1948.tb01338.x
Kullback, 1952, On information and sufficiency, Ann. Math. Stat., 22, 79, 10.1214/aoms/1177729694
Kruskal, 1956, On the shortest spanning subtree of a graph and the traveling salesman problem, Proc. AMS, 7, 48, 10.1090/S0002-9939-1956-0078686-7
Chow, 1968, Approximating discrete probability distributions with dependence trees, IEEE Trans. Inform. Theory, 14, 462, 10.1109/TIT.1968.1054142
Mood, 1974
Shannon, 1964
Aho, 1994
Cormen, 1992
Lewis, 1959, Approximating probability distributions to reduce storage requirements, Inf. Control, 2, 214, 10.1016/S0019-9958(59)90207-4
Bell, 1964, On the Einstein Podolsky Rosen paradox, Physics, 195, 10.1103/PhysicsPhysiqueFizika.1.195
Pitowsky, 1991, Correlation polytopes: Their geometry and complexity, Math. Program., 50, 395, 10.1007/BF01594946
Kullback, 1968, Probability densities with given marginals, Ann. Math. Stat., 39, 1236, 10.1214/aoms/1177698249
Ireland, 1968, Contingency tables with given marginals, Biometrika, 55, 179, 10.1093/biomet/55.1.179
Ireland, 1968, Minimum discrimination information estimation, Biometrics, 24, 707, 10.2307/2528330
Malvestuto, 1988, Existence of extensions and product extensions for discrete probability distributions, Discrete Math., 69, 61, 10.1016/0012-365X(88)90178-1
Brown, 1959, A note on approximations to discrete probability distributions, Inf. Control, 2, 386, 10.1016/S0019-9958(59)80016-4
Mitzenmacher, 2005
Wang, 1978, Classification of discrete data with feature space transformation, 774
Vapnik, 1999
Abu-Mostafa, 2012
Wong, 1976, Application of pattern recognition techniques to discrete clinical data, 158
Wong, 1979, Deca: A discrete-valued data clustering algorithm, IEEE Trans. Pattern Anal. Mach. Intell., PAMI-1, 342, 10.1109/TPAMI.1979.4766942
Wong, 1989, Comments on approximating discrete probability distributions with dependence trees, IEEE Trans. Pattern Anal. Mach. Intell., 11, 333, 10.1109/34.21803
Meilă, 1999, An accelerated chow and liu algorithm: Fitting tree distributions to high-dimensional sparse data, 249
Beygelzimer, 2004, Approximability of probability distributions, 377
Cygan, 2015
Vidyasagar, 2012, A metric between probability distributions on finite sets of different cardinalities and applications to order reduction, IEEE Trans. Automat. Control, 57, 2464, 10.1109/TAC.2012.2188423
Cicalese, 2016, Approximating probability distributions with short vectors, via information theoretic distance measures, 1138
Cicalese, 2017, How to find a joint probability distribution of minimum entropy (almost) given the marginals, 2173
Hellman, 1970, Probability of error, equivocation, and the chernoff bound, IEEE Trans. Inform. Theory, 16, 368, 10.1109/TIT.1970.1054466
Kang, 1997, Approximating optimally discrete probability distribution with kth-order dependency for combining multiple decisions, Inform. Process. Lett., 62, 67, 10.1016/S0020-0190(97)00039-2
Kang, 1997, Optimal approximation of discrete probability distribution with kth-order dependency and its application to combining multiple classifiers, Pattern Recognit. Lett., 18, 515, 10.1016/S0167-8655(97)00041-X
Claeskens, 2008
Pérez, 2016, Efficient approximation of probability distributions with k-order decomposable models, Internat. J. Approx. Reason., 74, 58, 10.1016/j.ijar.2016.03.005
Malvestuto, 1991, Approximating discrete probability distributions with decomposable models, IEEE Trans. Syst. Man Cybern., 21, 1287, 10.1109/21.120082
Ku, 1969, Approximating discrete probability distributions, IEEE Trans. Inform. Theory, 15, 444, 10.1109/TIT.1969.1054336
Ku, 1969, Interaction in multidimensional contingency tables: an information theoretic approach, J. Res. NBS, 72B, 159
Young, 1978, Linear transformation of binary random vectors and its application to approximating probability distributions, IEEE Trans. Inform. Theory, 24, 152, 10.1109/TIT.1978.1055866
Melucci, 2019, An efficient algorithm to compute a quantum probability space, IEEE Trans. Knowl. Data Eng., 10.1109/TKDE.2018.2863709