Fast computation of low-rank matrix approximations, Journal of the ACM, vol.54, issue.2, 2007. ,
Active learning ranking from pairwise preferences with almost optimal query complexity, NIPS, pp.810-818, 2011. ,
The mosek interior point optimizer for linear programming: an implementation of the homogeneous algorithm. High performance optimization, pp.197-232, 2000. ,
A Spectral Algorithm for Seriation and the Consecutive Ones Problem, SIAM Journal on Computing, vol.28, issue.1, pp.297-310, 1998. ,
DOI : 10.1137/S0097539795285771
Learning spectral clustering, Adv. Neural Inf. Process. Syst, vol.16, pp.305-312, 2004. ,
Perron's Result and a Decision on Admissions Tests, Mathematics Magazine, vol.59, issue.1, pp.12-22, 1986. ,
DOI : 10.2307/2690012
A spectral algorithm for envelope reduction of sparse matrices. Numerical linear algebra with applications, pp.317-334, 1995. ,
Approximating Orthogonal Matrices by Permutation Matrices, Pure and Applied Mathematics Quarterly, vol.2, issue.4, pp.943-961, 2006. ,
DOI : 10.4310/PAMQ.2006.v2.n4.a3
Phase retrieval, error reduction algorithm, and fienup variants: a view from convex optimization, JOSA A, vol.19, issue.7, pp.1334-1345, 2002. ,
Templates for convex cone problems with applications to sparse signal recovery, Mathematical Programming Computation, vol.3, issue.3, pp.165-218, 2011. ,
Lectures on modern convex optimization : analysis, algorithms, and engineering applications. MPS-SIAM series on optimization, 2001. ,
DOI : 10.1137/1.9780898718829
Harmonic analysis on semigroups : theory of positive definite and related functions, volume 100 of Graduate texts in mathematics, 1984. ,
DOI : 10.1007/978-1-4612-1128-0
The protein data bank, Acta Crystallographica Section D: Biological Crystallography, vol.58, issue.6, pp.899-907, 2002. ,
Semi-definite relaxations for minimum bandwidth and other vertex-ordering problems, Theoretical Computer Science, vol.235, issue.1, pp.25-42, 2000. ,
DOI : 10.1016/S0304-3975(99)00181-4
Convex Optimization, 2004. ,
Rank analysis of incomplete block designs: I. the method of paired comparisons, Biometrika, pp.324-345, 1952. ,
Noisy sorting without resampling, Proceedings of the nineteenth annual ACM-SIAM symposium on Discrete algorithms, pp.268-276, 2008. ,
Diffractive imaging for periodic samples: retrieving one-dimensional concentration profiles across microfluidic channels, Acta Crystallographica Section A Foundations of Crystallography, vol.63, issue.4, pp.306-314, 2007. ,
DOI : 10.1107/S0108767307021903
Solving quadratic equations via phaselift when there are about as many equations as unknowns, Foundations of Computational Mathematics, vol.14, issue.5, pp.1017-1026, 2014. ,
PhaseLift: Exact and Stable Signal Recovery from Magnitude Measurements via Convex Programming, Communications on Pure and Applied Mathematics, vol.38, issue.5, pp.661241-1274, 2013. ,
DOI : 10.1002/cpa.21432
Phase retrieval from coded diffraction patterns, Applied and Computational Harmonic Analysis, vol.39, issue.2, 2014. ,
DOI : 10.1016/j.acha.2014.09.004
Phase Retrieval via Matrix Completion, SIAM Review, vol.57, issue.2, pp.225-251, 2015. ,
DOI : 10.1137/151005099
Phase retrieval via wirtinger flow: Theory and algorithms. Information Theory, IEEE Transactions on, vol.61, issue.4, pp.1985-2007, 2015. ,
Array imaging using intensity-only measurements, Inverse Problems, vol.27, issue.1, p.15005, 2011. ,
DOI : 10.1088/0266-5611/27/1/015005
??? 2 2 Spreading Metrics for Vertex Ordering Problems, Algorithmica, vol.15, issue.2, pp.577-604, 2010. ,
DOI : 10.1007/s00453-008-9191-1
Kantorovich distances between rankings with applications to rank aggregation, Machine Learning and Knowledge Discovery in Databases, pp.248-263, 2010. ,
Computational Biology Methods and Their Application to the Comparative Genomics of Endocellular Symbiotic Bacteria of Insects, Biological Procedures Online, vol.26, issue.2, pp.52-78, 2009. ,
DOI : 10.1007/s12575-009-9004-1
Elements of information theory, 2012. ,
Sync-rank: Robust ranking, constrained ranking and rank aggregation via eigenvector and semidefinite programming synchronization, 2015. ,
Linear programming and extensions, 1963. ,
DOI : 10.1515/9781400884179
Weak Recovery Conditions from Graph Partitioning Bounds and Order Statistics, Mathematics of Operations Research, vol.38, issue.2, pp.228-247, 2013. ,
DOI : 10.1287/moor.1120.0581
URL : https://hal.archives-ouvertes.fr/hal-00907541
Relaxations and randomized methods for nonconvex qcqps, EE392o Class Notes, 2003. ,
Mémoire sur les élections au scrutin, 1781. ,
Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité des voix, p.1785 ,
Spearman's footrule as a measure of disarray, Journal of the Royal Statistical Society. Series B (Methodological), pp.262-268, 1977. ,
Ptychographic X-ray computed tomography at the nanoscale, Nature, vol.109, issue.7314, pp.467436-439, 2010. ,
DOI : 10.1038/nature09419
Linearized cluster assignment via spectral ordering, Twenty-first international conference on Machine learning , ICML '04, p.30, 2004. ,
DOI : 10.1145/1015330.1015407
On the consistency of ranking algorithms, Proceedings of the 27th International Conference on Machine Learning ,
The asymptotics of ranking algorithms. The Annals of Statistics, pp.2292-2323, 2013. ,
Rank aggregation methods for the Web, Proceedings of the tenth international conference on World Wide Web , WWW '01, 2001. ,
DOI : 10.1145/371920.372165
Rank aggregation methods for the Web, Proceedings of the tenth international conference on World Wide Web , WWW '01, pp.613-622, 2001. ,
DOI : 10.1145/371920.372165
On the evolution of random graphs, Publ. Math. Inst. Hungar. Acad. Sci, vol.5, pp.17-61, 1960. ,
On the evolution of random graphs, Publ. Math. Inst. Hungar. Acad. Sci, vol.5, pp.17-61, 1960. ,
Divide-and-conquer approximation algorithms via spreading metrics, Journal of the ACM, vol.47, issue.4, pp.585-616, 2000. ,
DOI : 10.1145/347476.347478
Approximating the Bandwidth via Volume Respecting Embeddings, Journal of Computer and System Sciences, vol.60, issue.3, pp.510-539, 2000. ,
DOI : 10.1006/jcss.1999.1682
An improved approximation ratio for the minimum linear arrangement problem, Information Processing Letters, vol.101, issue.1, pp.26-29, 2007. ,
DOI : 10.1016/j.ipl.2006.07.009
Computing with Noisy Information, SIAM Journal on Computing, vol.23, issue.5, pp.1001-1018, 1994. ,
DOI : 10.1137/S0097539791195877
Phase retrieval algorithms: a comparison, Applied Optics, vol.21, issue.15, pp.2758-2769, 1982. ,
DOI : 10.1364/AO.21.002758
Convex Relaxations for Permutation Problems, SIAM Journal on Matrix Analysis and Applications, vol.36, issue.4, 2013. ,
DOI : 10.1137/130947362
URL : https://hal.archives-ouvertes.fr/hal-00907528
Flows in networks, volume 1962, 1962. ,
An algorithm for quadratic programming. Naval research logistics quarterly, pp.95-110, 1956. ,
An efficient boosting algorithm for combining preferences. The Journal of machine learning research, pp.933-969, 2003. ,
Quick Approximation to Matrices and Applications, Combinatorica, vol.19, issue.2, pp.175-220, 1999. ,
DOI : 10.1007/s004930050052
Incidence matrices and interval graphs, Pacific Journal of Mathematics, vol.15, issue.3, p.835, 1965. ,
DOI : 10.2140/pjm.1965.15.835
Banded structure in binary matrices. Knowledge and information systems, pp.197-226, 2011. ,
An Analysis of Spectral Envelope Reduction via Quadratic Assignment Problems, SIAM Journal on Matrix Analysis and Applications, vol.18, issue.3, pp.706-732, 1997. ,
DOI : 10.1137/S089547989427470X
A practical algorithm for the determination of phase from image and diffraction plane pictures, Optik, vol.35, pp.237-246, 1972. ,
Smallest compact formulation for the permutahedron, Mathematical Programming, pp.1-7, 2014. ,
Improved approximation algorithms for maximum cut and satisfiability problems using semidefinite programming, Journal of the ACM, vol.42, issue.6, pp.1115-1145, 1995. ,
DOI : 10.1145/227683.227684
Signal estimation from modified short-time fourier transform. Acoustics, Speech and Signal Processing, IEEE Transactions on, vol.32, issue.2, pp.236-243, 1984. ,
Geometric Algorithms and Combinatorial Optimization, 1988. ,
New spectral methods for ratio cut partitioning and clustering . Computer-aided design of integrated circuits and systems, ieee transactions on, vol.11, issue.9, pp.1074-1085, 1992. ,
Phase problem in crystallography, Journal of the Optical Society of America A, vol.10, issue.5, pp.1046-1055, 1993. ,
DOI : 10.1364/JOSAA.10.001046
An Interior-Point Method for Semidefinite Programming, SIAM Journal on Optimization, vol.6, issue.2, pp.342-361, 1996. ,
DOI : 10.1137/0806020
Trueskill TM : A bayesian skill rating system, Advances in Neural Information Processing Systems, pp.569-576, 2006. ,
The La Tène cemetery at Münsingen-Rain: catalogue and relative chronology, 1968. ,
Spectral Clustering with Perturbed Data, Advances in Neural Information Processing Systems (NIPS), 2008. ,
Pairwise comparison and ranking: optimum properties of the row sum procedure. The annals of mathematical statistics, pp.511-520, 1963. ,
MM algorithms for generalized bradley-terry models, Annals of Statistics, pp.384-406, 2004. ,
Active ranking using pairwise comparisons, NIPS, pp.2240-2248, 2011. ,
Statistical ranking and combinatorial Hodge theory, Mathematical Programming, vol.48, issue.2, pp.203-244, 2011. ,
DOI : 10.1007/s10107-010-0419-x
Optimizing search engines using clickthrough data, Proceedings of the eighth ACM SIGKDD international conference on Knowledge discovery and data mining , KDD '02, pp.133-142, 2002. ,
DOI : 10.1145/775047.775067
Coherent Diffractive Imaging Using Phase Front Modifications, Physical Review Letters, vol.100, issue.15, p.100155503, 2008. ,
DOI : 10.1103/PhysRevLett.100.155503
Distributions in statistics: Continuous multivariate distributions, 1972. ,
A new polynomial-time algorithm for linear programming, Combinatorica, vol.244, issue.S, pp.373-395, 1984. ,
DOI : 10.1007/BF02579150
The Perron???Frobenius Theorem and the Ranking of Football Teams, SIAM Review, vol.35, issue.1, pp.80-93, 1993. ,
DOI : 10.1137/1035004
Abundance matrices and seriation in archaeology. Probability Theory and Related Fields, pp.104-112, 1971. ,
On the method of paired comparisons, Biometrika, pp.31-34, 1940. ,
How to rank with few errors, Proceedings of the thirty-ninth annual ACM symposium on Theory of computing , STOC '07, pp.95-103, 2007. ,
DOI : 10.1145/1250790.1250806
A polynomial algorithm in linear programming (in Russian) Doklady Akedamii Nauk SSSR, pp.1093-1096, 1979. ,
Authoritative sources in a hyperlinked environment, Journal of the ACM, vol.46, issue.5, pp.604-632, 1999. ,
DOI : 10.1145/324133.324140
Estimating the Largest Eigenvalue by the Power and Lanczos Algorithms with a Random Start, SIAM Journal on Matrix Analysis and Applications, vol.13, issue.4, pp.1094-1122, 1992. ,
DOI : 10.1137/0613066
The quadratic assignment problem is easy for Robinsonian matrices with Toeplitz structure, Operations Research Letters, vol.43, issue.1, pp.103-109, 2015. ,
DOI : 10.1016/j.orl.2014.12.009
The Quadratic Assignment Problem, Management Science, vol.9, issue.4, pp.586-599, 1963. ,
DOI : 10.1287/mnsc.9.4.586
Seriation and matrix reordering methods: An historical overview. Statistical analysis and data mining, pp.70-91, 2010. ,
Beyond the birkhoff polytope: Convex relaxations for vector permutation problems, Advances in Neural Information Processing Systems, pp.2168-2176, 2014. ,
Cones of Matrices and Set-Functions and 0???1 Optimization, SIAM Journal on Optimization, vol.1, issue.2, pp.166-190, 1991. ,
DOI : 10.1137/0801013
Individual choice behavior, 1959. ,
On the consecutive ones property, Discrete Applied Mathematics, vol.88, issue.1-3, pp.325-354, 1998. ,
DOI : 10.1016/S0166-218X(98)00078-X
Extending X-Ray Crystallography to Allow the Imaging of Noncrystalline Materials, Cells, and Single Protein Complexes, Annual Review of Physical Chemistry, vol.59, issue.1, pp.387-410, 2008. ,
DOI : 10.1146/annurev.physchem.59.032607.093642
Iterative ranking from pairwise comparisons, NIPS, pp.2483-2491, 2012. ,
Sums of random symmetric matrices and quadratic optimization under orthogonality constraints, Mathematical Programming, vol.2, issue.97, pp.283-317, 2007. ,
DOI : 10.1007/s10107-006-0033-0
On complexity of matrix scaling, Linear Algebra and its Applications, vol.302, issue.303, pp.435-460, 1999. ,
DOI : 10.1016/S0024-3795(99)00212-8
Problem complexity and method efficiency in optimization, Nauka, 1979. ,
Global quadratic optimization via conic relaxation. Number 9860, CORE Discussion Paper, 1998. ,
Introductory Lectures on Convex Optimization, 2003. ,
DOI : 10.1007/978-1-4419-8853-9
Interior-point polynomial algorithms in convex programming, Society for Industrial and Applied Mathematics, 1994. ,
DOI : 10.1137/1.9781611970791
On spectral clustering: Analysis and an algorithm, Advances in Neural Information Processing Systems, p.849, 2002. ,
The pagerank citation ranking: Bringing order to the web, 1998. ,
An Investigation of Interior-Point Algorithms for the Linear Transportation Problem, SIAM Journal on Scientific Computing, vol.17, issue.5, pp.1202-1223, 1996. ,
DOI : 10.1137/S1064827593258280
A statistical convergence perspective of algorithms for rank aggregation from pairwise data, Proceedings of the 31st International Conference on Machine Learning, pp.118-126, 2014. ,
New Approximation Techniques for Some Linear Ordering Problems, SIAM Journal on Computing, vol.34, issue.2, pp.388-404, 2005. ,
DOI : 10.1137/S0097539702413197
A Method for Chronologically Ordering Archaeological Deposits, American Antiquity, vol.16, issue.04, pp.293-301, 1951. ,
DOI : 10.2307/276978
Alexandre d'Aspremont, and Francis Bach. Supervised clustering in the data cube, 2015. ,
The analytic hierarchy process: planning, priority setting, resources allocation, 1980. ,
Decision-making with the ahp: Why is the principal eigenvector necessary, European journal of operational research, vol.145, issue.1, pp.85-91, 2003. ,
Learning to order things, Advances in Neural Information Processing Systems 10: Proceedings of the 1997 Conference, p.451, 1998. ,
Spectral clustering on a budget, International Conference on Artificial Intelligence and Statistics, pp.661-669, 2011. ,
Phase retrieval with application to optical imaging. arXiv preprint arXiv:1402, 2014. ,
On the calculation of the double integral expressing normal correlation, Transactions of the Cambridge Philosophical Society, vol.19, pp.23-66, 1900. ,
Normalized cuts and image segmentation. Pattern Analysis and Machine Intelligence, IEEE Transactions on, vol.22, issue.8, pp.888-905, 2000. ,
Quadratic optimization problems, Soviet Journal of Computer and Systems Sciences, vol.25, pp.1-11, 1987. ,
Mra-based statistical learning from incomplete rankings, Proceedings of the 32nd International Conference on Machine Learning (ICML-15), pp.1432-1441, 2015. ,
URL : https://hal.archives-ouvertes.fr/hal-01270543
A relationship between arbitrary positive matrices and doubly stochastic matrices. The annals of mathematical statistics, pp.876-879, 1964. ,
DOI : 10.1214/aoms/1177703591
Moment inequalities for sums of random matrices and their applications in optimization, Mathematical Programming, vol.2, issue.1, pp.125-151, 2011. ,
DOI : 10.1007/s10107-009-0330-5
Matrix perturbation theory, 1990. ,
A simple min-cut algorithm, Journal of the ACM, vol.44, issue.4, pp.585-591, 1997. ,
DOI : 10.1145/263867.263872
SDPT3 ??? A Matlab software package for semidefinite programming, Version 1.3, Optimization Methods and Software, vol.79, issue.1-4, pp.545-581, 1999. ,
DOI : 10.1287/moor.19.1.53
Spectral ranking. arXiv preprint, 2009. ,
Contest theory: Incentive mechanisms and ranking methods, 2015. ,
DOI : 10.1017/CBO9781139519366
A tutorial on spectral clustering, Statistics and computing, vol.17, issue.4, pp.395-416, 2007. ,
Consistency of spectral clustering. The Annals of Statistics, pp.555-586, 2008. ,
Consecutive ones property and spectral ordering, Proceedings of the 10th SIAM International Conference on Data Mining (SDM'10), pp.350-360, 2010. ,
DOI : 10.1137/1.9781611972801.31
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.187.2996
Between Min Cut and Graph Bisection, 1993. ,
DOI : 10.1007/3-540-57182-5_65
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.45.604
Time-frequency phase recovery. Working paper, 2012. ,
Phase recovery, MaxCut and complex semidefinite programming, Mathematical Programming, vol.16, issue.3, pp.47-81, 2015. ,
DOI : 10.1007/s10107-013-0738-9
URL : https://hal.archives-ouvertes.fr/hal-00907535
Efficient ranking from pairwise comparisons, Proceedings of the 30th International Conference on Machine Learning (ICML), 2013. ,
Unsupervised Learning of Image Manifolds by Semidefinite Programming, International Journal of Computer Vision, vol.26, issue.1, pp.77-90, 2006. ,
DOI : 10.1007/s11263-005-4939-z
A useful variant of the Davis???Kahan theorem for statisticians, Biometrika, vol.102, issue.2, pp.315-323, 2015. ,
DOI : 10.1093/biomet/asv008
Die Berechnung der Turnier-Ergebnisse als ein Maximumproblem der Wahrscheinlichkeitsrechnung, Mathematische Zeitschrift, vol.29, issue.1, pp.436-460, 1929. ,
DOI : 10.1007/BF01180541
Semidefinite programming relaxations for the quadratic assignment problem, Journal of Combinatorial Optimization, vol.2, issue.1, pp.71-109, 1998. ,
DOI : 10.1023/A:1009795911987