-
1
-
-
0001902056
-
Three approaches to the quantitative definition of information
-
A. N. Kolmogorov, “Three approaches to the quantitative definition of information,” Probl. Peredach. Inform., vol. 1, pp. 3–11, 1965.
-
(1965)
Probl. Peredach. Inform
, vol.1
, pp. 3-11
-
-
Kolmogorov, A.N.1
-
2
-
-
0001710674
-
On the defect of randomness of a finite object with respect to measures with given complexity bounds
-
V. V. V'Yugin, “On the defect of randomness of a finite object with respect to measures with given complexity bounds,” Theory Probab. Appl., vol. 32, pp. 508–512, 1987.
-
(1987)
Theory Probab. Appl
, vol.32
, pp. 508-512
-
-
V'Yugin, V.V.1
-
3
-
-
0015758381
-
Generalization on patterns using Kolmogorov complexity
-
Washington, DC, Oct.
-
T. M. Cover, “Generalization on patterns using Kolmogorov complexity,” in Proc. First Int. Joint Conf. Pattern Recog., Washington, DC, Oct. 1973.
-
(1973)
Proc. First Int. Joint Conf. Pattern Recog
-
-
Cover, T.M.1
-
4
-
-
0002214584
-
Kolmogorov complexity, data compression, and inference
-
J. K. Skwirzynski, Ed. Boston, MA: Martinus Nijhoff Publ.
-
––, “Kolmogorov complexity, data compression, and inference,” in The Impact of Processing Techniques on Communications, J. K. Skwirzynski, Ed. Boston, MA: Martinus Nijhoff Publ., 1985, pp. 23–34.
-
(1985)
The Impact of Processing Techniques on Communications
, pp. 23-34
-
-
-
5
-
-
0000179217
-
Kolmogorov's contributions to information theory and algorithmic complexity
-
July
-
T. M. Cover, P. Gacs, and R. M. Gray, “Kolmogorov's contributions to information theory and algorithmic complexity,” Ann. Probab., vol. 17, pp. 840–865, July 1989.
-
(1989)
Ann. Probab
, vol.17
, pp. 840-865
-
-
Cover, T.M.1
Gacs, P.2
Gray, R.M.3
-
6
-
-
0018015137
-
Modeling by shortest data description
-
J. Rissanen, “Modeling by shortest data description,” Automatica, vol. 14, pp. 465–471, 1978.
-
(1978)
Automatica
, vol.14
, pp. 465-471
-
-
Rissanen, J.1
-
7
-
-
0001098776
-
A universal prior for integers and estimation by minimum description length
-
June
-
––, “A universal prior for integers and estimation by minimum description length,” Ann. Statist., vol. 11, pp. 416–431, June 1983.
-
(1983)
Ann. Statist
, vol.11
, pp. 416-431
-
-
Rissanen, J.1
-
8
-
-
0021466584
-
Universal coding, information, prediction, and estimation
-
July
-
——, “Universal coding, information, prediction, and estimation,” IEEE Trans. Inform. Theory, vol. 30, pp. 629–636, July 1984.
-
(1984)
IEEE Trans. Inform. Theory
, vol.30
, pp. 629-636
-
-
Rissanen, J.1
-
9
-
-
0000318553
-
Stochastic complexity and modeling
-
Sept.
-
——, “Stochastic complexity and modeling,” Ann. Statist., vol. 14, pp. 1080–1100, Sept. 1986.
-
(1986)
Ann. Statist
, vol.14
, pp. 1080-1100
-
-
Rissanen, J.1
-
10
-
-
0000208683
-
Stochastic complexity and sufficient statistics
-
——, “Stochastic complexity and sufficient statistics,” J. Roy. Statist. Soc. B, vol. 49, pp. 223–239, 1987.
-
(1987)
J. Roy. Statist. Soc. B
, vol.49
, pp. 223-239
-
-
Rissanen, J.1
-
12
-
-
0000107517
-
An information measure for classification
-
C. S. Wallace and D. M. Boulton, “An information measure for classification,” Comput. J., vol. 11, pp. 185–194, 1968.
-
(1968)
Comput. J
, vol.11
, pp. 185-194
-
-
Wallace, C.S.1
Boulton, D.M.2
-
13
-
-
0000208682
-
Estimation and inference by compact coding
-
C. S. Wallace and P. R. Freeman, “Estimation and inference by compact coding,” J. Roy. Statist. Soc. B, vol. 49, pp. 240–265, 1987.
-
(1987)
J. Roy. Statist. Soc. B
, vol.49
, pp. 240-265
-
-
Wallace, C.S.1
Freeman, P.R.2
-
14
-
-
33847253099
-
A quantitative OccaM's razor
-
R. Sorkin, “A quantitative OccaM's razor,” Int. J. Theoretic Phys., vol. 22, pp. 1091–1103, 1983.
-
(1983)
Int. J. Theoretic Phys
, vol.22
, pp. 1091-1103
-
-
Sorkin, R.1
-
15
-
-
84939700082
-
Convergence of logically simple estimates of unknown probability densities
-
presented at IEEE Int. Symp. Inform. Theory, St. Jovite, Canada, Sept. 26–30
-
A. R. Barron, “Convergence of logically simple estimates of unknown probability densities,” presented at IEEE Int. Symp. Inform. Theory, St. Jovite, Canada, Sept. 26–30, 1983.
-
(1983)
-
-
Barron, A.R.1
-
16
-
-
0003757634
-
Logically smooth density estimation
-
Ph.D. dissertation, Dept. Elect. Eng. Stanford Univ., Stanford, CA, Aug.
-
——, “Logically smooth density estimation,” Ph.D. dissertation, Dept. Elect. Eng., Stanford Univ., Stanford, CA, Aug. 1985.
-
(1985)
-
-
Barron, A.R.1
-
18
-
-
0343605087
-
A hierarchy of probability density function estimates
-
New York: Academic Press
-
T. M. Cover, “A hierarchy of probability density function estimates,” in Frontiers in Pattern Recognition. New York: Academic Press, 1972, pp. 83–98.
-
(1972)
Frontiers in Pattern Recognition
, pp. 83-98
-
-
Cover, T.M.1
-
19
-
-
0015681549
-
Universal noiseless coding
-
Nov.
-
L. D. Davisson, “Universal noiseless coding,” IEEE Trans. Inform. Theory., vol. 19, pp. 783–795, Nov. 1973.
-
(1973)
IEEE Trans. Inform. Theory
, vol.19
, pp. 783-795
-
-
Davisson, L.D.1
-
21
-
-
50549204079
-
A formal theory of inductive inference
-
R. J. Solomonoff, “A formal theory of inductive inference,” Inform. Contr., vol. 7, pp. 224–254, 1964.
-
(1964)
Inform. Contr
, vol.7
, pp. 224-254
-
-
Solomonoff, R.J.1
-
22
-
-
84918358658
-
On the length of programs for computing finite binary sequences
-
G. J. Chaitin, “On the length of programs for computing finite binary sequences,” J. Assoc. Comput. Machine, vol. 13, pp. 547–569, 1966.
-
(1966)
J. Assoc. Comput. Machine
, vol.13
, pp. 547-569
-
-
Chaitin, G.J.1
-
23
-
-
0016532771
-
A theory of program size formally identical to information theory
-
——, “A theory of program size formally identical to information theory, J. Assoc. Comput. Machine, vol. 22, pp. 329–340, 1975.
-
(1975)
J. Assoc. Comput. Machine
, vol.22
, pp. 329-340
-
-
Chaitin, G.J.1
-
24
-
-
0000508181
-
On the notion of a random sequence
-
L. A. Levin, “On the notion of a random sequence,” Soviet Math. Dokl., vol. 14, pp. 1413–1416, 1973.
-
(1973)
Soviet Math. Dokl
, vol.14
, pp. 1413-1416
-
-
Levin, L.A.1
-
25
-
-
0016078993
-
Laws of information conservation and aspects of the foundations of probability theories
-
——, “Laws of information conservation and aspects of the foundations of probability theories,” Probl. Inform. Transm., vol. 10, pp. 206–210, 1974.
-
(1974)
Probl. Inform. Transm
, vol.10
, pp. 206-210
-
-
Levin, L.A.1
-
26
-
-
0025430804
-
Information theoretic asymptotics of Bayes methods
-
May
-
B. S. Clarke and A. R. Barron, “Information theoretic asymptotics of Bayes methods,” IEEE Trans. Inform. Theory, vol. 36, no. 3, pp. 453–471, May 1990.
-
(1990)
IEEE Trans. Inform. Theory
, vol.36
, Issue.3
, pp. 453-471
-
-
Clarke, B.S.1
Barron, A.R.2
-
27
-
-
0041081797
-
Asymptotic cumulative risk and Bayes risk under entropy loss, with applications
-
Ph.D. dissertation, Dept. Statist., Univ. of Illinois, Urbana, IL, July
-
B. S. Clarke, “Asymptotic cumulative risk and Bayes risk under entropy loss, with applications.” Ph.D. dissertation, Dept. Statist., Univ. of Illinois, Urbana, IL, July 1989.
-
(1989)
-
-
Clarke, B.S.1
-
30
-
-
0000120766
-
Estimating the dimension of a model
-
G. Schwarz, “Estimating the dimension of a model,” Ann. Statist., vol. 6, pp. 461–464, 1978.
-
(1978)
Ann. Statist
, vol.6
, pp. 461-464
-
-
Schwarz, G.1
-
31
-
-
0000404653
-
Approximation of density functions by sequences of exponential families
-
Sept.
-
A. R. Barron and C. Sheu, “Approximation of density functions by sequences of exponential families,” Ann. Statist., vol. 19, no. 3, Sept. 1991.
-
(1991)
Ann. Statist
, vol.19
, Issue.3
-
-
Barron, A.R.1
Sheu, C.2
-
32
-
-
77956887130
-
An optimal selection of regression variables
-
R. Shibata, “An optimal selection of regression variables,” Biometrika, vol. 68 pp. 45–54, 1981.
-
(1981)
Biometrika
, vol.68
, pp. 45-54
-
-
Shibata, R.1
-
33
-
-
0001462696
-
Asymptotic optimality for Cp, CL, cross-validation, and generalized cross-validation: Discrete index set
-
Sept.
-
K. C. Li, “Asymptotic optimality for Cp, CL, cross-validation, and generalized cross-validation: Discrete index set,” Ann. Statist., vol. 15, pp. 958–975, Sept. 1987.
-
(1987)
Ann. Statist
, vol.15
, pp. 958-975
-
-
Li, K.C.1
-
34
-
-
0000501656
-
Information theory and an extension of the maximum likelihood principle
-
P. N. Petrov and F. Csaki, Eds. Budapest: Akademia Kiado
-
H. Akaike, “Information theory and an extension of the maximum likelihood principle,” in Proc. 2nd Int. Symp. Inform. Theory, P. N. Petrov and F. Csaki, Eds. Budapest: Akademia Kiado, 1983, pp. 267–281.
-
(1983)
Proc. 2nd Int. Symp. Inform. Theory
, pp. 267-281
-
-
Akaike, H.1
-
35
-
-
0000666757
-
On stochastic complexity and nonparametric density estimation
-
P. Hall and E. J. Hannan, “On stochastic complexity and nonparametric density estimation,” Biometrika, vol. 75, pp. 705–714, 1988.
-
(1988)
Biometrika
, vol.75
, pp. 705-714
-
-
Hall, P.1
Hannan, E.J.2
-
36
-
-
11144274109
-
Stochastic complexity and model selection II: Histograms
-
Dept, of Statist. Univ. of California, Berkeley, Mar.
-
B. Yu and T. P. Speed, “Stochastic complexity and model selection II: Histograms,” Tech. rep. no. 241, Dept, of Statist. Univ. of California, Berkeley, Mar. 1990.
-
(1990)
Tech. rep. no. 241
-
-
Yu, B.1
Speed, T.P.2
-
37
-
-
0001904852
-
e-entropy and e-capacity of sets in function spaces
-
A. N. Kolmogorov and V. M. Tihomirov, “e-entropy and e-capacity of sets in function spaces,” Uspehi, vol. 3, pp. 3–86, 1959.
-
(1959)
Uspehi
, vol.3
, pp. 3-86
-
-
Kolmogorov, A.N.1
Tihomirov, V.M.2
-
38
-
-
0000610863
-
Piecewise-polynomial approximations of functions of the classes [formula omitted]
-
M. S. Birman and M. Z. Solomjak, “Piecewise-polynomial approximations of functions of the classes [formula omitted]” Mat. USSR-Sbornik, vol. 2, pp. 295–317, 1967.
-
(1967)
Mat. USSR-Sbornik
, vol.2
, pp. 295-317
-
-
Birman, M.S.1
Solomjak, M.Z.2
-
41
-
-
0020152606
-
Estimation of square-inte-grable probability density of a random variable
-
S. Y. Efroimovich and M. S. Pinsker, “Estimation of square-inte-grable probability density of a random variable,” Probl. Inform. Transm., vol. 18, pp. 175–189, 1983.
-
(1983)
Probl. Inform. Transm
, vol.18
, pp. 175-189
-
-
Efroimovich, S.Y.1
Pinsker, M.S.2
-
42
-
-
0000643161
-
Rates of convergence of minimum distance estimators and Kolmogorov's entropy
-
June
-
Y. G. Yatracos, “Rates of convergence of minimum distance estimators and Kolmogorov's entropy,” Ann. Statist., vol. 13, pp. 768–774, June 1985.
-
(1985)
Ann. Statist
, vol.13
, pp. 768-774
-
-
Yatracos, Y.G.1
-
43
-
-
0000998802
-
Uniformly powerful goodness of fit tests
-
Mar.
-
A. R. Barron, “Uniformly powerful goodness of fit tests,” Ann. Statist., vol. 17, no. 1, Mar. 1989.
-
(1989)
Ann. Statist
, vol.17
, Issue.1
-
-
Barron, A.R.1
-
45
-
-
0000182415
-
A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations
-
H. Chernoff, “A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations,” Ann. Math. Statist., vol. 23, pp. 493–507, 1952.
-
(1952)
Ann. Math. Statist
, vol.23
, pp. 493-507
-
-
Chernoff, H.1
-
46
-
-
84947403595
-
Probability inequalities for sums of bounded random variables
-
Mar.
-
W. Hoeffding, “Probability inequalities for sums of bounded random variables,” J. Amer. Statist. Assoc., vol. 58, pp. 13–30, Mar. 1963.
-
(1963)
J. Amer. Statist. Assoc
, vol.58
, pp. 13-30
-
-
Hoeffding, W.1
-
47
-
-
0001767268
-
Approximation of least squares regression on nested subspaces
-
June
-
D. D. Cox, “Approximation of least squares regression on nested subspaces,” Ann. Statist., vol. 16, pp. 713–732, June 1988.
-
(1988)
Ann. Statist
, vol.16
, pp. 713-732
-
-
Cox, D.D.1
-
48
-
-
0003073642
-
Statistical learning networks: A unifying view
-
Fairfax, Virginia, April 21–23, 1988, E. Wegman, D. T. Gantz, and J. J. Miller, Eds. Alexandria, VA: Amer. Statist. Assoc.
-
A. R. Barron and R. L. Barron, “Statistical learning networks: A unifying view,” Computing Science and Statistics: Proceedings of the 20th Symposium on the Interface. Fairfax, Virginia, April 21–23, 1988, E. Wegman, D. T. Gantz, and J. J. Miller, Eds. Alexandria, VA: Amer. Statist. Assoc., 1988.
-
(1988)
Computing Science and Statistics: Proceedings of the 20th Symposium on the Interface
-
-
Barron, A.R.1
Barron, R.L.2
-
49
-
-
0024935434
-
Statistical properties of artificial neural networks
-
presented at Proc. 28th IEEE Conf. Decision Contr., Tampa, Florida, Dec.
-
A. R. Barron, “Statistical properties of artificial neural networks,” presented at Proc. 28th IEEE Conf. Decision Contr., Tampa, Florida, Dec. 1989.
-
(1989)
-
-
Barron, A.R.1
-
51
-
-
84976024989
-
Lattice coverings of space
-
C. A. Rogers, “Lattice coverings of space,” Mathematika, vol. 6, pp. 33–39, 1959.
-
(1959)
Mathematika
, vol.6
, pp. 33-39
-
-
Rogers, C.A.1
-
52
-
-
84976043625
-
Covering space with equal spheres
-
H. S. M. Coxeter, L. Few, and C. A. Rogers, “Covering space with equal spheres,” Mathematika, vol. 6, pp. 147–157, 1959.
-
(1959)
Mathematika
, vol.6
, pp. 147-157
-
-
Coxeter, H.S.M.1
Few, L.2
Rogers, C.A.3
-
54
-
-
84939740381
-
Distribution estimation convergent in total variation and in informational divergence
-
to appear in IEEE Trans. Inform. Theory
-
A. R. Barron, L. Györfi, and E. C. van der Meulen, “Distribution estimation convergent in total variation and in informational divergence,” to appear in IEEE Trans. Inform. Theory.
-
-
-
Barron, A.R.1
Györfi, L.2
van der Meulen, E.C.3
|