-
1
-
-
0019623485
-
A singular perturbation approach to modeling and control of Markov chains
-
Oct
-
R. G. Phillips and P. V. Kokotovic, "A singular perturbation approach to modeling and control of Markov chains," IEEE Trans. Autom. Control., vol. AC-26, no. 5, pp. 1087-1094, Oct. 1981.
-
(1981)
IEEE Trans. Autom. Control.
, vol.AC-26
, Issue.5
, pp. 1087-1094
-
-
Phillips, R.G.1
Kokotovic, P.V.2
-
4
-
-
0039173394
-
The asymptotic behavior of the largest eigenvalue of a second order elliptic differential operator with a small parameter multiplying the highest derivatives
-
A. D. Wentzell, "The asymptotic behavior of the largest eigenvalue of a second order elliptic differential operator with a small parameter multiplying the highest derivatives," Dokl. Akad. Nauk SSSR, vol. 202, pp. 19-22, 1972.
-
(1972)
Dokl. Akad. Nauk SSSR
, vol.202
, pp. 19-22
-
-
Wentzell, A.D.1
-
5
-
-
0031278986
-
Almost invariant sets in Chua's circuit
-
O. Junge and M. Dellnitz, "Almost invariant sets in Chua's circuit," Int. J. Bif. Chaos, vol. 7, no. 11, pp. 2475-85, 1997. (Pubitemid 127338654)
-
(1997)
International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
, vol.7
, Issue.11
, pp. 2475-2485
-
-
Dellnitz, M.1
Junge, O.2
-
6
-
-
0034370539
-
Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains
-
P. Deuflhard, W. Huisinga, A. Fischer, and C. Schütte, "Identification of almost invariant aggregates in reversible nearly uncoupled Markov chains," Linear Algebra Appl., vol. 315, no. 1-3, pp. 39-59, 2000.
-
(2000)
Linear Algebra Appl.
, vol.315
, Issue.1-3
, pp. 39-59
-
-
Deuflhard, P.1
Huisinga, W.2
Fischer, A.3
Schütte, C.4
-
7
-
-
12844274920
-
Phase transitions and metastability in Markovian and molecular systems
-
DOI 10.1214/aoap/1075828057
-
W. Huisinga, S. P. Meyn, and C. Schütte, "Phase transitions and metastability in Markovian and molecular systems," Ann. Appl. Probab., vol. 14, no. 1, pp. 419-458, 2004. (Pubitemid 41449262)
-
(2004)
Annals of Applied Probability
, vol.14
, Issue.1
, pp. 419-458
-
-
Huisinga, W.1
Meyn, S.2
Schutte, C.3
-
8
-
-
62749191479
-
Model reduction of nonreversible Markov chains
-
DOI 10.1109/CDC.2007.4434771, 4434771, Proceedings of the 46th IEEE Conference on Decision and Control 2007, CDC
-
T. Runolfsson and Y. Ma, "Model reduction of nonreversible Markov chains," in Proc. 46th IEEE Conf. Decision Control, New Orleans, LA, 2007, pp. 3739-3744. (Pubitemid 351277730)
-
(2007)
Proceedings of the IEEE Conference on Decision and Control
, pp. 3739-3744
-
-
Runolfsson, T.1
Yong, M.2
-
9
-
-
0000827674
-
A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory
-
M. Fiedler, "A property of eigenvectors of nonnegative symmetric matrices and its application to graph theory," Czechoslovak Math. J., vol. 25, no. 100, pp. 619-633, 1975.
-
(1975)
Czechoslovak Math. J.
, vol.25
, Issue.100
, pp. 619-633
-
-
Fiedler, M.1
-
10
-
-
0034244751
-
Normalized cuts and image segmentation
-
Aug
-
J. Shi and J. Malik, "Normalized cuts and image segmentation," IEEE Trans. Pattern Anal. Mach. Intell., vol. 22, no. 8, pp. 888-905, Aug. 2000.
-
(2000)
IEEE Trans. Pattern Anal. Mach. Intell.
, vol.22
, Issue.8
, pp. 888-905
-
-
Shi, J.1
Malik, J.2
-
11
-
-
0003559997
-
-
Sandia National Laboratories, Albuquerque, NM, 1993, Tech. Rep., SAND93-0074
-
B. Hendrickson and R. Leland, "Multidimensional spectral load balancing," Sandia National Laboratories, Albuquerque, NM, 1993, Tech. Rep., SAND93-0074.
-
Multidimensional Spectral Load Balancing
-
-
Hendrickson, B.1
Leland, R.2
-
12
-
-
33746067324
-
Value function approximation using diffusion wavelets and laplacian eigenfunctions
-
Cambridge, MA: MIT Press
-
S. Mahadevan and M. Maggioni, "Value function approximation using diffusion wavelets and laplacian eigenfunctions," in Advances in Neural Information Processing Systems. Cambridge, MA: MIT Press, 2006.
-
(2006)
Advances in Neural Information Processing Systems
-
-
Mahadevan, S.1
Maggioni, M.2
-
13
-
-
0034473838
-
Lumpable hidden Markov models - model reduction and reduced complexity filtering
-
DOI 10.1109/9.895565
-
L. White, R. Mahony, and G. Brushe, "Lumpable Hidden Markov Models - Model reduction and reduced complexity filtering," IEEE Trans. Automat. Contr., vol. 45, no. 12, pp. 2297-2306, Dec. 2000. (Pubitemid 32190991)
-
(2000)
IEEE Transactions on Automatic Control
, vol.45
, Issue.12
, pp. 2297-2306
-
-
White, L.B.1
Mahony, R.2
Brushe, G.D.3
-
14
-
-
0034506765
-
Reduced-complexity filtering for partially observed nearly completely decomposable Markov chains
-
DOI 10.1109/78.886997
-
S. Dey, "Reduced-complexity filtering for partially observed nearly completely decomposable Markov chains," IEEE Trans. Signal Process., vol. 48, no. 12, pp. 3334-3344, Dec. 2000. (Pubitemid 32085761)
-
(2000)
IEEE Transactions on Signal Processing
, vol.48
, Issue.12
, pp. 3334-3344
-
-
Dey, S.1
-
16
-
-
34047205975
-
Graph based multi-scale analysis of building system transport models
-
1656365, Proceedings of the 2006 American Control Conference
-
P. G. Mehta, M. Dorobantu, and A. Banaszuk, "Graph-based multiscale analysis of building system transport models," in Proc. Amer. Controls Conf., Minneapolis, MN, 2006, pp. 1110-1115. (Pubitemid 46530963)
-
(2006)
Proceedings of the American Control Conference
, vol.2006
, pp. 1110-1115
-
-
Mehta, P.G.1
Dorobantu, M.2
Banaszuk, A.3
-
17
-
-
34548583274
-
A tutorial on spectral clustering
-
U. Luxburg, "A tutorial on spectral clustering," Statist. Comput., vol. 17, no. 4, pp. 395-416, 2007.
-
(2007)
Statist. Comput.
, vol.17
, Issue.4
, pp. 395-416
-
-
Luxburg, U.1
-
19
-
-
2442538938
-
The Kullback-Leibler divergence rate between Markov sources
-
May
-
Z. Rached, F. Alalaji, and L. L. Campbell, "The Kullback-Leibler divergence rate between Markov sources," IEEE Trans. Inf. Theory, vol. 50, no. 5, pp. 917-921, May 2004.
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.5
, pp. 917-921
-
-
Rached, Z.1
Alalaji, F.2
Campbell, L.L.3
-
20
-
-
84980178612
-
Asymptotic evaluation of certain Markov process expectations for large time. I. II
-
M. Donsker and S. Varadhan, "Asymptotic evaluation of certain Markov process expectations for large time. I. II," Comm. Pure Appl. Math., vol. 28, pp. 1-47, 1975.
-
(1975)
Comm. Pure Appl. Math.
, vol.28
, pp. 1-47
-
-
Donsker, M.1
Varadhan, S.2
-
21
-
-
0002885510
-
A survey of aggregation-disaggregation in large Markov chains
-
W. J. Stewart, Ed. New York: Marcel Dekker
-
P. J. Schweitzer, "A survey of aggregation-disaggregation in large Markov chains," in Numerical Solution of Markov Chains, W. J. Stewart, Ed. New York: Marcel Dekker, 1991, pp. 63-88.
-
(1991)
Numerical Solution of Markov Chains
, pp. 63-88
-
-
Schweitzer, P.J.1
-
22
-
-
46149083017
-
Optimal partition and effective dynamics of complex networks
-
DOI 10.1073/pnas.0707563105
-
W. E. T. Li and E.Vanden-Eijnden, "Optimal partition and effective dynamics of complex networks," PNAS, vol. 105, no. 23, pp. 7907-7912, 2008. (Pubitemid 351904680)
-
(2008)
Proceedings of the National Academy of Sciences of the United States of America
, vol.105
, Issue.23
, pp. 7907-7912
-
-
Weinan, E.1
Li, T.2
Vanden-Eijnden, E.3
-
23
-
-
70449623573
-
An information-theoretic framework to aggregate a Markov chain
-
St. Louis, MO
-
K. Deng, Y. Sun, P. G. Mehta, and S. P. Meyn, "An information-theoretic framework to aggregate a Markov chain," in Proc. Amer. Control Conf., St. Louis, MO, 2009, pp. 731-736.
-
(2009)
Proc. Amer. Control Conf.
, pp. 731-736
-
-
Deng, K.1
Sun, Y.2
Mehta, P.G.3
Meyn, S.P.4
-
24
-
-
77956821564
-
Optimal fuzzy aggregation of networks
-
M. Sarich, C. Schütte, and E. Vanden-Eijnden, "Optimal fuzzy aggregation of networks," Multiscale Modeling Simul., vol. 8, no. 4, pp. 1535-1561, 2010.
-
(2010)
Multiscale Modeling Simul.
, vol.8
, Issue.4
, pp. 1535-1561
-
-
Sarich, M.1
Schütte, C.2
Vanden-Eijnden, E.3
-
25
-
-
77954555265
-
The Kullback-Leiber rate pseudo-metric for comparing dynamical systems
-
Jul
-
Y. Sun and P. G. Mehta, "The Kullback-Leiber rate pseudo-metric for comparing dynamical systems," IEEE Trans. Autom. Control, vol. 55, no. 7, pp. 1585-1598, Jul. 2010.
-
(2010)
IEEE Trans. Autom. Control
, vol.55
, Issue.7
, pp. 1585-1598
-
-
Sun, Y.1
Mehta, P.G.2
-
26
-
-
39849101337
-
The 4M (mixed memory Markov model) algorithm for finding genes in prokaryotic genomes
-
DOI 10.1109/TAC.2007.911360
-
M. Vidyasagar, S. S. Mande, C. V. S. K. Reddy, and V. V. R. Rao, "The 4M (Mixed Memory Markov Model) algorithm for finding genes in prokaryotic genomes," IEEE Trans. Autom. Control, vol. 53, no. 1, pp. 26-37, Jan. 2008. (Pubitemid 351314537)
-
(2008)
IEEE Transactions on Automatic Control
, vol.53
, Issue.1
, pp. 26-37
-
-
Vidyasagar, M.1
Mande, S.S.2
Reddy, Ch.V.S.K.3
Rao, V.V.R.4
-
27
-
-
15944385310
-
Large deviations asymptotics and the spectral theory of multiplicatively regular Markov processes
-
3
-
I. Kontoyiannis and S. P. Meyn, "Large deviations asymptotics and the spectral theory of multiplicatively regular Markov processes," Electron. J. Probab., vol. 10, no. 3, pp. 61-123 (electronic), 2005. (Pubitemid 40447601)
-
(2005)
Electronic Journal of Probability
, vol.10
, pp. 61-123
-
-
Kontoyiannis, I.1
Meyn, S.P.2
-
29
-
-
77950830595
-
Model reduction, optimal prediction, and the Mori-Zwanzig representation of Markov chains
-
Shanghai, China
-
C. L. Beck, S. Lall, T. Liang, and M. West, "Model reduction, optimal prediction, and the Mori-Zwanzig representation of Markov chains," in Proc. IEEE Conf. Decision Control, Shanghai, China, 2009, pp. 3282-3287.
-
(2009)
Proc. IEEE Conf. Decision Control
, pp. 3282-3287
-
-
Beck, C.L.1
Lall, S.2
Liang, T.3
West, M.4
-
30
-
-
0002590276
-
Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
-
J. A. Fill, "Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process," Ann. Appl. Probab., vol. 1, no. 1, pp. 62-87, 1991.
-
(1991)
Ann. Appl. Probab.
, vol.1
, Issue.1
, pp. 62-87
-
-
Fill, J.A.1
-
31
-
-
83255166989
-
Metastability and dominant eigenvalues of transfer operators
-
Berlin, Heidelberg, DEU: Springer
-
W. Huisinga and B. Schmidt, "Metastability and dominant eigenvalues of transfer operators," in New Algorithms for Macromolecular Simulation. Berlin, Heidelberg, DEU: Springer, 2006, vol. 49, Lecture Notes in Computational Science and Engineering, pp. 167-182.
-
(2006)
New Algorithms for Macromolecular Simulation
, vol.49
, pp. 167-182
-
-
Huisinga, W.1
Schmidt, B.2
-
32
-
-
13544256263
-
Robust Perron cluster analysis in conformation dynamics
-
DOI 10.1016/j.laa.2004.10.026, PII S0024379504004689, Matrices and Mathematical Biology
-
P. Deuflhard and M.Weber, "Robust Perron cluster analysis in conformation dynamics," Linear Algebra its Applicat., vol. 398, pp. 161-184, 2005. (Pubitemid 40220042)
-
(2005)
Linear Algebra and Its Applications
, vol.398
, Issue.1-3
, pp. 161-184
-
-
Deuflhard, P.1
Weber, M.2
-
33
-
-
0142257025
-
-
Ph.D. dissertation, Stanford Univ., Stanford, CA
-
M. Fazel, "Matrix rank minimization with applications," Ph.D. dissertation, Stanford Univ., Stanford, CA, 2002.
-
(2002)
Matrix Rank Minimization with Applications
-
-
Fazel, M.1
|