메뉴 건너뛰기




Volumn 59, Issue 2, 2017, Pages 321-345

The spacey randomwalk: A stochastic process for higher-order data

Author keywords

Eigenvector; Random walk; Tensor; Vertex reinforced random walk

Indexed keywords

ALGEBRA; CHAINS; CONVERGENCE OF NUMERICAL METHODS; DYNAMICAL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; MARKOV PROCESSES; NUMERICAL METHODS; POPULATION STATISTICS; REINFORCEMENT; STOCHASTIC SYSTEMS; TAXICABS; TENSORS; VECTOR SPACES;

EID: 85019915527     PISSN: 00361445     EISSN: None     Source Type: Journal    
DOI: 10.1137/16M1074023     Document Type: Article
Times cited : (95)

References (42)
  • 1
    • 0242607587 scopus 로고    scopus 로고
    • Phylogenetic invariants for the general Markov model of sequence mutation
    • Cited on p. 325
    • E. S. Allman and J. A. Rhodes (2003), Phylogenetic invariants for the general Markov model of sequence mutation, Math. Biosci., 186 (2), pp. 113{144. (Cited on p. 325).
    • (2003) Math. Biosci. , vol.186 , Issue.2 , pp. 113-144
    • Allman, E.S.1    Rhodes, J.A.2
  • 2
    • 34249079154 scopus 로고    scopus 로고
    • Network motifs: Theory and experimental approaches
    • Cited on p. 331
    • U. Alon (2007), Network motifs: Theory and experimental approaches, Nature Rev. Genetics, 8 (6), pp. 450{461. (Cited on p. 331).
    • (2007) Nature Rev. Genetics , vol.8 , Issue.6 , pp. 450-461
    • Alon, U.1
  • 3
    • 84908049572 scopus 로고    scopus 로고
    • Tensor decompositions for learning latent variable models
    • Cited on p. 325
    • A. Anandkumar, R. Ge, D. Hsu, S. M. Kakade, and M. Telgarsky (2014), Tensor decompositions for learning latent variable models, J. Mach. Learn. Res., 15 (1), pp. 2773{2832. (Cited on p. 325).
    • (2014) J. Mach. Learn. Res. , vol.15 , Issue.1 , pp. 2773-2832
    • Anandkumar, A.1    Ge, R.2    Hsu, D.3    Kakade, S.M.4    Telgarsky, M.5
  • 5
    • 0000902594 scopus 로고
    • Trailing the dovetail shuffle to its lair
    • Cited on p. 322
    • D. Bayer and P. Diaconis (1992), Trailing the dovetail shuffle to its lair, Ann. Appl. Probab., 2 (2), pp. 294{313, https://doi.org/10.1214/aoap/1177005705. (Cited on p. 322).
    • (1992) Ann. Appl. Probab. , vol.2 , Issue.2 , pp. 294-313
    • Bayer, D.1    Diaconis, P.2
  • 6
    • 0031517693 scopus 로고    scopus 로고
    • Vertex-reinforced random walks and a conjecture of Pemantle
    • Cited on 325, 326, 327, 329, 336, 343
    • M. Benam (1997), Vertex-reinforced random walks and a conjecture of Pemantle, Ann. Probab., 25 (1), pp. 361{392. (Cited on pp. 325, 326, 327, 329, 336, 343).
    • (1997) Ann. Probab. , vol.25 , Issue.1 , pp. 361-392
    • Benam, M.1
  • 7
    • 0001408436 scopus 로고    scopus 로고
    • Asymptotic pseudotrajectories and chain recurrent flows
    • with applications, J. Dynam. Cited on p. 336
    • M. Benam and M. W. Hirsch (1996), Asymptotic pseudotrajectories and chain recurrent flows, with applications, J. Dynam. Differential Equations, 8 (1), pp. 141{176. (Cited on p. 336).
    • (1996) Differential Equations , vol.8 , Issue.1 , pp. 141-176
    • Benam, M.1    Hirsch, M.W.2
  • 8
    • 84961905495 scopus 로고    scopus 로고
    • Tensor spectral clustering for partitioning higher-order network structures
    • SIAM, Philadelphia, 2015, Cited on p. 331
    • A. R. Benson, D. F. Gleich, and J. Leskovec (2015), Tensor spectral clustering for partitioning higher-order network structures, in Proceedings of the 2015 SIAM International Conference on Data Mining, SIAM, Philadelphia, 2015, pp. 118{126, https://doi.org/10.1137/1.9781611974010.14. (Cited on p. 331).
    • (2015) Proceedings of the 2015 SIAM International Conference on Data Mining , pp. 118-126
    • Benson, A.R.1    Gleich, D.F.2    Leskovec, J.3
  • 10
    • 84930155407 scopus 로고    scopus 로고
    • Computability and dynamical systems
    • Springer, New York,Cited on p. 343
    • J. Buescu, D. Gracia, and N. Zhong (2011), Computability and dynamical systems, in Dynamics, Games and Science I, Springer, New York, pp. 169{181. (Cited on p. 343).
    • (2011) Dynamics, Games and Science I , pp. 169-181
    • Buescu, J.1    Gracia, D.2    Zhong, N.3
  • 13
    • 0028416938 scopus 로고
    • Independent component analysis, a new concept?
    • Cited on p. 325
    • P. Comon (1994), Independent component analysis, a new concept?, Signal Process., 36 (3), pp. 287{314, https://doi.org/10.1016/0165-1684(94)90029-9. (Cited on p. 325).
    • (1994) Signal Process , vol.36 , Issue.3 , pp. 287-314
    • Comon, P.1
  • 15
    • 0002189550 scopus 로고
    • Recent progress on de Finetti's notions of exchangeability
    • J. M. Bernardo, M. H. DeGroot, D. V. Lindley, and A. F. M. Smith, eds. Oxford University Press, New York, Cited on p. 326
    • P. Diaconis (1988), Recent progress on de Finetti's notions of exchangeability, in Bayesian Statistics 3, J. M. Bernardo, M. H. DeGroot, D. V. Lindley, and A. F. M. Smith, eds., Oxford University Press, New York, pp. 111{125. (Cited on p. 326).
    • (1988) Bayesian Statistics , vol.3 , pp. 111-125
    • Diaconis, P.1
  • 17
    • 74049087026 scopus 로고    scopus 로고
    • Community detection in graphs
    • Cited on p. 330
    • S. Fortunato (2010), Community detection in graphs, Phys. Rep., 486 (3), pp. 75{174. (Cited on p. 330).
    • (2010) Phys. Rep. , vol.486 , Issue.3 , pp. 75-174
    • Fortunato, S.1
  • 18
    • 84960395639 scopus 로고    scopus 로고
    • Multilinear pagerank
    • Cited on 324, 329, 330, 336, 337, 338, 340, 343
    • D. F. Gleich, L.-H. Lim, and Y. Yu (2015), Multilinear PageRank, SIAM J. Matrix Anal. Appl., 36 (4), pp. 1507{1541, https://doi.org/10.1137/140985160. (Cited on pp. 324, 329, 330, 336, 337, 338, 340, 343).
    • (2015) SIAM J. Matrix Anal. Appl. , vol.36 , Issue.4 , pp. 1507-1541
    • Gleich, D.F.1    Lim, L.-H.2    Yu, Y.3
  • 20
    • 0002740437 scopus 로고
    • Foundations of the PARAFAC procedure: Models and conditions for an explanatory" multimodal factor analysis
    • Cited on p. 325
    • R. A. Harshman (1970), Foundations of the PARAFAC procedure: Models and conditions for an explanatory" multimodal factor analysis, UCLA Working Papers in Phonetics, 16, pp. 1{84. (Cited on p. 325).
    • (1970) UCLA Working Papers in Phonetics , vol.16 , pp. 1-84
    • Harshman, R.A.1
  • 22
    • 0001967018 scopus 로고    scopus 로고
    • A numerical analyst looks at the cuto phenomenon" in card shuffing and other Markov chains
    • Addison Wesley Longman, Reading, MA, Cited on p. 322
    • G. F. Jonsson and L. N. Trefethen (1998), A numerical analyst looks at the cuto phenomenon" in card shuffing and other Markov chains, in Numerical Analysis 1997: Proceedings of the 17th Dundee Biennial Conference, Addison Wesley Longman, Reading, MA, pp. 150{178. (Cited on p. 322).
    • (1998) Numerical Analysis 1997: Proceedings of the 17th Dundee Biennial Conference , pp. 150-178
    • Jonsson, G.F.1    Trefethen, L.N.2
  • 26
    • 84888020693 scopus 로고    scopus 로고
    • On the limiting probability distribution of a transition probability tensor
    • Cited on 324, 335, 336, 343
    • W. Li and M. K. Ng (2014), On the limiting probability distribution of a transition probability tensor, Linear and Multilinear Algebra, 62 (3), pp. 362{385. (Cited on pp. 324, 335, 336, 343).
    • (2014) Linear and Multilinear Algebra , vol.62 , Issue.3 , pp. 362-385
    • Li, W.1    Ng, M.K.2
  • 28
    • 85131471036 scopus 로고    scopus 로고
    • Tensors and hypermatrices
    • CRC Press, Boca Raton, FL, Cited on p. 325
    • L.-H. Lim (2013), Tensors and Hypermatrices, in Handbook of Linear Algebra, CRC Press, Boca Raton, FL, pp. 231{260. (Cited on p. 325).
    • (2013) Handbook of Linear Algebra , pp. 231-260
    • Lim, L.-H.1
  • 31
    • 0001102743 scopus 로고
    • Unpredictability and undecidability in dynamical systems
    • Cited on p. 343
    • C. Moore (1990), Unpredictability and undecidability in dynamical systems, Phys. Rev. Lett., 64 (20), pp. 2354{2357. (Cited on p. 343).
    • (1990) Phys. Rev. Lett. , vol.64 , Issue.20 , pp. 2354-2357
    • Moore, C.1
  • 34
    • 0001404939 scopus 로고
    • Vertex-reinforced random walk
    • Cited on p. 328
    • R. Pemantle (1992), Vertex-reinforced random walk, Probab. Theory Related Fields, 92 (1), pp. 117{136. (Cited on p. 328).
    • (1992) Probab. Theory Related Fields , vol.92 , Issue.1 , pp. 117-136
    • Pemantle, R.1
  • 35
    • 64549146385 scopus 로고    scopus 로고
    • A survey of random processes with reinforcement
    • Cited on 324, 325
    • R. Pemantle (2007), A survey of random processes with reinforcement, Probab. Surv., 4, pp. 1{79. (Cited on pp. 324, 325).
    • (2007) Probab. Surv. , vol.4 , pp. 1-79
    • Pemantle, R.1
  • 36
    • 27744582534 scopus 로고    scopus 로고
    • Eigenvalues of a real supersymmetric tensor
    • Cited on p. 324
    • L. Qi (2005), Eigenvalues of a real supersymmetric tensor, J. Symbolic Comput., 40 (6), pp. 1302{1324. (Cited on p. 324).
    • (2005) J. Symbolic Comput. , vol.40 , Issue.6 , pp. 1302-1324
    • Qi, L.1
  • 37
    • 84907341920 scopus 로고    scopus 로고
    • Memory in network flows and its effects on spreading dynamics and community detection
    • Cited on p. 323
    • M. Rosvall, A. V. Esquivel, A. Lancichinetti, J. D. West, and R. Lambiotte (2014), Memory in network flows and its effects on spreading dynamics and community detection, Nature Commun., 5, 4630. (Cited on p. 323).
    • (2014) Nature Commun. , vol.5 , pp. 4630
    • Rosvall, M.1    Esquivel, A.V.2    Lancichinetti, A.3    West, J.D.4    Lambiotte, R.5
  • 38
    • 35248893285 scopus 로고    scopus 로고
    • Graph clustering
    • Cited on p. 330
    • S. E. Schaeffer (2007), Graph clustering, Comput. Sci. Rev., 1 (1), pp. 27{64. (Cited on p. 330).
    • (2007) Comput. Sci. Rev. , vol.1 , Issue.1 , pp. 27-64
    • Schaeffer, S.E.1
  • 39
    • 0033901839 scopus 로고    scopus 로고
    • Blind PARAFAC receivers for DS-CDMA systems
    • Cited on p. 325
    • N. D. Sidiropoulos, G. B. Giannakis, and R. Bro (2000), Blind PARAFAC receivers for DS-CDMA systems, IEEE Trans. Signal Process., 48 (3), pp. 810{823. (Cited on p. 325).
    • (2000) IEEE Trans. Signal Process , vol.48 , Issue.3 , pp. 810-823
    • Sidiropoulos, N.D.1    Giannakis, G.B.2    Bro, R.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.