메뉴 건너뛰기




Volumn 147, Issue 1-2, 2014, Pages 429-465

Guaranteed clustering and biclustering via semidefinite programming

Author keywords

Biclustering; Clustering; Co clustering; Planted clique; Semidefinite programming

Indexed keywords

OPTIMAL SYSTEMS; RECOVERY;

EID: 84921068187     PISSN: 00255610     EISSN: 14364646     Source Type: Journal    
DOI: 10.1007/s10107-013-0729-x     Document Type: Article
Times cited : (57)

References (45)
  • 2
    • 62249143532 scopus 로고    scopus 로고
    • Np-hardness of euclidean sum-of-squares clustering
    • Aloise, D., Deshpande, A., Hansen, P., Popat, P.: Np-hardness of euclidean sum-of-squares clustering. Mach. Learn. 75(2), 245–248 (2009)
    • (2009) Mach. Learn , vol.75 , Issue.2 , pp. 245-248
    • Aloise, D.1    Deshpande, A.2    Hansen, P.3    Popat, P.4
  • 3
    • 85016697899 scopus 로고    scopus 로고
    • Convex optimization for the planted k-disjoint-clique problem
    • Ames, B., Vavasis, S.: Convex optimization for the planted k-disjoint-clique problem. Arxiv, preprint arXiv:1008.2814, 2010
    • (2010) Arxiv, preprint arXi , vol.1008 , pp. 2814
    • Ames, B.1    Vavasis, S.2
  • 4
    • 80052581489 scopus 로고    scopus 로고
    • Nuclear norm minimization for the planted clique and biclique problems
    • Ames, B., Vavasis, S.: Nuclear norm minimization for the planted clique and biclique problems. Math. Program. 129(1), 1–21 (2011)
    • (2011) Math. Program , vol.129 , Issue.1 , pp. 1-21
    • Ames, B.1    Vavasis, S.2
  • 6
    • 3142665421 scopus 로고    scopus 로고
    • Correlation clustering
    • Bansal, N.A., Blum, A., Chawla, S.: Correlation clustering. Mach. Learn. 56(1), 89–113 (2004)
    • (2004) Mach. Lear , vol.56 , Issue.1 , pp. 89-113
    • Bansal, N.A.1    Blum, A.2    Chawla, S.3
  • 8
    • 0034345420 scopus 로고    scopus 로고
    • Nonmonotone spectral projected gradient methods on convex sets
    • Birgin, E., Martínez, J., Raydan, M.: Nonmonotone spectral projected gradient methods on convex sets. SIAM J. Optimiz. 10(4), 1196–1211 (2000)
    • (2000) SIAM J. Optimiz , vol.10 , Issue.4 , pp. 1196-1211
    • Birgin, E.1    Martínez, J.2    Raydan, M.3
  • 9
    • 80051762104 scopus 로고    scopus 로고
    • Distributed optimization and statistical learning via the alternating direction method of multipliers
    • Boyd, S., Parikh, N., Chu, E., Peleato, B., Eckstein, J.: Distributed optimization and statistical learning via the alternating direction method of multipliers. Found. Trends. Mach. Learn. 3(1), 1–122 (2011)
    • (2011) Found. Trends. Mach. Learn , vol.3 , Issue.1 , pp. 1-122
    • Boyd, S.1    Parikh, N.2    Chu, E.3    Peleato, B.4    Eckstein, J.5
  • 12
    • 84859851440 scopus 로고    scopus 로고
    • Tight oracle bounds for low-rank matrix recovery from a minimal number of random measurements
    • Candès, E., Plan, Y.: Tight oracle bounds for low-rank matrix recovery from a minimal number of random measurements. Arxiv, preprint arXiv:1001.0339 (2010)
    • (2010) Arxiv, preprint arXi , vol.1001 , pp. 0339
    • Candès, E.1    Plan, Y.2
  • 13
    • 71049116435 scopus 로고    scopus 로고
    • Exact matrix completion via convex optimization
    • Candès, E., Recht, B.: Exact matrix completion via convex optimization. Found. Comput. Math. 9(6), 717–772 (2009)
    • (2009) Found. Comput. Math , vol.9 , Issue.6 , pp. 717-772
    • Candès, E.1    Recht, B.2
  • 14
    • 33745604236 scopus 로고    scopus 로고
    • Stable signal recovery from incomplete and inaccurate measurements
    • Candès, E., Romberg, J., Tao, T.: Stable signal recovery from incomplete and inaccurate measurements. Commun. Pure Appl. Math. 59(8), 1207–1223 (2006)
    • (2006) Commun. Pure Appl. Math , vol.59 , Issue.8 , pp. 1207-1223
    • Candès, E.1    Romberg, J.2    Tao, T.3
  • 15
    • 29144439194 scopus 로고    scopus 로고
    • Decoding by linear programming
    • Candès, E., Tao, T.: Decoding by linear programming. IEEE Trans. Inf. Theory 51(12), 4203–4215 (2005)
    • (2005) IEEE Trans. Inf. Theor , vol.51 , Issue.12 , pp. 4203-4215
    • Candès, E.1    Tao, T.2
  • 16
    • 33645712892 scopus 로고    scopus 로고
    • Compressed sensing
    • Donoho, D.: Compressed sensing. IEEE Trans. Inf. Theory 52(4), 1289–1306 (2006)
    • (2006) IEEE Trans. Inf. Theor , vol.52 , Issue.4 , pp. 1289-1306
    • Donoho, D.1
  • 17
    • 34249837486 scopus 로고
    • On the douglasrachford splitting method and the proximal point algorithm for maximal monotone operators
    • Eckstein, J., Bertsekas, D.P.: On the douglasrachford splitting method and the proximal point algorithm for maximal monotone operators. Math. Program. 55(1–3), 293–318 (1992)
    • (1992) Math. Progra , vol.55 , Issue.1-3 , pp. 293-318
    • Eckstein, J.1    Bertsekas, D.P.2
  • 18
    • 80052314204 scopus 로고    scopus 로고
    • Recent advances of data biclustering with application in computational neuroscience
    • Fan, N., Boyko, N., Pardalos, P.: Recent advances of data biclustering with application in computational neuroscience. Computat. Neurosci. pp. 105–132 (2010)
    • (2010) Computat. Neurosc , pp. 105-132
    • Fan, N.1    Boyko, N.2    Pardalos, P.3
  • 19
    • 84858845695 scopus 로고    scopus 로고
    • Multi-way clustering and biclustering by the ratio cut and normalized cut in graphs
    • Fan, N., Pardalos, P.: Multi-way clustering and biclustering by the ratio cut and normalized cut in graphs. J. Comb. Optimiz. 23(2), 224–251 (2012)
    • (2012) J. Comb. Optimi , vol.23 , Issue.2 , pp. 224-251
    • Fan, N.1    Pardalos, P.2
  • 21
    • 51249182622 scopus 로고
    • The eigenvalues of random symmetric matrices
    • Füredi, Z., Komlós, J.: The eigenvalues of random symmetric matrices. Combinatorica 1(3), 233–241 (1981)
    • (1981) Combinatoric , vol.1 , Issue.3 , pp. 233-241
    • Füredi, Z.1    Komlós, J.2
  • 22
    • 0001436319 scopus 로고
    • A limit theorem for the norm of random matrices
    • Geman, S.: A limit theorem for the norm of random matrices. Ann. Prob. 8(2), 252–261 (1980)
    • (1980) Ann. Prob , vol.8 , Issue.2 , pp. 252-261
    • Geman, S.1
  • 23
    • 0004236492 scopus 로고    scopus 로고
    • Johns Hopkins University Press, Baltimore:
    • Golub, G.Van, Loan, C.: Matrix Computations. Johns Hopkins University Press, Baltimore (1996)
    • (1996) Matrix Computation
    • Golub, G.V.1    Loan, C.2
  • 24
    • 79951886985 scopus 로고    scopus 로고
    • Recovering low-rank matrices from few coefficients in any basis
    • Gross, D.: Recovering low-rank matrices from few coefficients in any basis. IEEE Trans. Inf. Theory 57(3), 1548–1566 (2011)
    • (2011) IEEE Trans. Inf. Theor , vol.57 , Issue.3 , pp. 1548-1566
    • Gross, D.1
  • 25
    • 84947403595 scopus 로고
    • Probability inequalities for sums of bounded random variables
    • Hoeffding, W.: Probability inequalities for sums of bounded random variables. J. Am. Stat. Assoc. 58, 13–30 (1962)
    • (1962) J. Am. Stat. Assoc , vol.58 , pp. 13-30
    • Hoeffding, W.1
  • 26
    • 85016699018 scopus 로고    scopus 로고
    • Clustering partially observed graphs via convex optimization
    • Jalali, A., Chen, Y., Sanghavi, S., Xu, H.: Clustering partially observed graphs via convex optimization. Arxiv, preprint arXiv:1104.4803 (2011)
    • (2011) Arxiv, preprint arXi , vol.1104 , pp. 4803
    • Jalali, A.1    Chen, Y.2    Sanghavi, S.3    Xu, H.4
  • 27
    • 4243128193 scopus 로고    scopus 로고
    • On clusterings: good, bad and spectral
    • Kannan, R., Vempala, S., Vetta, A.: On clusterings: good, bad and spectral. J. ACM 51(3), 497–515 (2004)
    • (2004) J. AC , vol.51 , Issue.3 , pp. 497-515
    • Kannan, R.1    Vempala, S.2    Vetta, A.3
  • 31
    • 84899013108 scopus 로고    scopus 로고
    • On spectral clustering: analysis and an algorithm
    • Ng, A., Jordan, M., Weiss, Y.: On spectral clustering: analysis and an algorithm. Adv. Neural Inf. Process. Syst. 2, 849–856 (2002)
    • (2002) Adv. Neural Inf. Process. Syst , vol.2 , pp. 849-856
    • Ng, A.1    Jordan, M.2    Weiss, Y.3
  • 33
    • 84921070105 scopus 로고    scopus 로고
    • Finding dense clusters via “low rank + sparse” decomposition
    • Oymak, S., Hassibi, B.: Finding dense clusters via “low rank + sparse” decomposition. Arxiv, preprint arXiv:1104.5186 (2011)
    • (2011) Arxiv, preprint arXi , vol.1104 , pp. 5186
    • Oymak, S.1    Hassibi, B.2
  • 35
    • 39449098473 scopus 로고    scopus 로고
    • Approximating k-means-type clustering via semidefinite programming
    • Peng, J., Wei, Y.: Approximating k-means-type clustering via semidefinite programming. SIAM J. Optimiz. 18(1), 186–205 (2007)
    • (2007) SIAM J. Optimiz , vol.18 , Issue.1 , pp. 186-205
    • Peng, J.1    Wei, Y.2
  • 36
    • 84856009825 scopus 로고    scopus 로고
    • A simpler approach to matrix completion
    • Recht, B.: A simpler approach to matrix completion. J. Mach. Learn. Res. 12, 3413–3430 (2011)
    • (2011) J. Mach. Learn. Res , vol.12 , pp. 3413-3430
    • Recht, B.1
  • 37
    • 78549288866 scopus 로고    scopus 로고
    • Guaranteed minimum-rank solutions of linear matrix equations via muclear norm minimization
    • Recht, B., Fazel, M., Parrilo, P.: Guaranteed minimum-rank solutions of linear matrix equations via muclear norm minimization. SIAM Rev. 52, 471 (2010)
    • (2010) SIAM Rev , vol.52 , pp. 471
    • Recht, B.1    Fazel, M.2    Parrilo, P.3
  • 38
    • 79952744257 scopus 로고    scopus 로고
    • Null space conditions and thresholds for rank minimization
    • Recht, B., Xu, W., Hassibi, B.: Null space conditions and thresholds for rank minimization. Mathematical Programming, pp. 1–28 (2010)
    • (2010) Mathematical Programmin , pp. 1-28
    • Recht, B.1    Xu, W.2    Hassibi, B.3
  • 39
    • 0004267646 scopus 로고    scopus 로고
    • Princeton University Press, Princeton:
    • Rockafellar, R.T.: Convex Analysis. Princeton University Press, Princeton (1997)
    • (1997) Convex Analysi
    • Rockafellar, R.T.1
  • 40
    • 80052860256 scopus 로고    scopus 로고
    • Spectral clustering and the high-dimensional stochastic blockmodel
    • Rohe, K., Chatterjee, S., Yu, B.: Spectral clustering and the high-dimensional stochastic blockmodel. Ann. Stat. 39(4), 1878–1915 (2011)
    • (2011) Ann. Stat , vol.39 , Issue.4 , pp. 1878-1915
    • Rohe, K.1    Chatterjee, S.2    Yu, B.3
  • 41
    • 85016664179 scopus 로고    scopus 로고
    • Co-clustering for directed graphs; the stochastic co-blockmodel and a spectral algorithm
    • Rohe, K., Yu, B.: Co-clustering for directed graphs; the stochastic co-blockmodel and a spectral algorithm. Arxiv, preprint arXiv:1204.2296 (2012)
    • (2012) Arxiv, preprint arXi , vol.1204 , pp. 2296
    • Rohe, K.1    Yu, B.2
  • 42
    • 23044533396 scopus 로고    scopus 로고
    • Improved algorithms for the random cluster graph model
    • Shamir, R., Tsur, D.: Improved algorithms for the random cluster graph model. Alg. Theory SWAT 2002, 230–239 (2002)
    • (2002) Alg. Theory SWA , vol.2002 , pp. 230-239
    • Shamir, R.1    Tsur, D.2
  • 43
    • 79951788461 scopus 로고    scopus 로고
    • Ensemble clustering using semidefinite programming with applications
    • Singh, V., Mukherjee, L., Peng, J., Xu, J.: Ensemble clustering using semidefinite programming with applications. Mach. Learn. 79(1), 177–200 (2010)
    • (2010) Mach. Learn , vol.79 , Issue.1 , pp. 177-200
    • Singh, V.1    Mukherjee, L.2    Peng, J.3    Xu, J.4
  • 45
    • 65649137930 scopus 로고    scopus 로고
    • Probing the pareto frontier for basis pursuit solutions
    • Van Den Berg, E., Friedlander, M.: Probing the pareto frontier for basis pursuit solutions. SIAM J. Sci. Comput. 31(2), 890–912 (2008)
    • (2008) SIAM J. Sci. Comput , vol.31 , Issue.2 , pp. 890-912
    • Van Den Berg, E.1    Friedlander, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.