Mihai Cucuringu

Alan Turing Research Fellow

Department of Statistics + Mathematical Institute

University of Oxford

Alan Turing Institute


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I am a Turing Research Fellow within the Department of Statistics + Mathematical Institute at University of Oxford, and the Alan Turing Institute in London. During 2013-2016, I was a CAM Assistant Adjunct Professor in the Department of Mathematics at UCLA, supported by Andrea Bertozzi.

I finished my Ph.D in Applied and Computational Mathematics (PACM) at Princeton University in June 2012, where I was extremely fortunate to be advised by Amit Singer. My thesis was on the low-rank matrix completion problem and several distance geometry problems with applications to sensor network localization and three-dimensional structuring of molecules.

During Fall 2014, I was a Research Fellow at the Simons Institute for Theory of Computing at UC Berkeley, in the program Algorithmic Spectral Graph Theory. During Spring 2014, I was a Research Fellow at ICERM, at Brown University, in the Network Science and Graph Algorithms semester program.

Here is my Google Scholar page.
Research interests

By and large, I am interested in the development and mathematical analysis of algorithms for large graphs and networks, and data analysis, with applications to various problems in engineering, machine learning, statistics, finance, and biology. More specifically, I have considered problems that span


Education


Teaching

Publications and preprints

  1. M. Cucuringu, R. Erban, "ADM-CLE approach for detecting slow variables in continuous time Markov chains and dynamic data", SIAM Journal on Scientific Computing, 39(1), B76-B101 (2017), (arXiv:1504.01786)
  2. M. Cucuringu, "Sync-Rank: Robust Ranking, Constrained Ranking and Rank Aggregation via Eigenvector and SDP Synchronization", IEEE Transactions on Network Science and Engineering, 3 (1): 58-79, (2016), arXiv:1504.01070, (arXiv:1504.01070). Compact version here.
  3. M. Cucuringu, I. Koutis, S. Chawla, G. Miller, and R. Peng, "Simple and Scalable Constrained Clustering: A Generalized Spectral Method", AISTATS 2016 (Artificial Intelligence and Statistics Conference) (arXiv:1601.04746)
  4. M. Cucuringu, M. P. Rombach, S. H. Lee, M. A. Porter, "Detection of Core-Periphery Structure in Networks Using Spectral Methods and Geodesic Paths", European Journal of Applied Mathematics, Vol. 27, No. 6: 846-887 (2016), (arXiv:1410.6572), (arXiv:1410.6572)
  5. M. Cucuringu, J. Woodworth, "Point Localization and Density Estimation from Ordinal kNN graphs using Synchronization", (arXiv:1504.00722); Conference version accepted to 2015 IEEE Machine Learning for Signal Processing Workshop (Boston, 2015)
  6. M. Cucuringu, "Synchronization over Z2 and community detection in multiplex signed networks with constraints", Journal of Complex Networks, 3 (3):469-506, (2015)
  7. S. H. Lee, M. Cucuringu, M. A. Porter, "Density-Based and Transport-Based Core-Periphery Structures in Networks", Physical Review E, Vol. 89, No. 3: 032810 (2014), (arXiv:1310.8387)
  8. M. Cucuringu, A. Singer, D. Cowburn, "Eigenvector Synchronization, Graph Rigidity and the Molecule Problem", Information and Inference: A Journal of the IMA, 1 (1), pp. 2167 (2012), (arXiv:1111.3304)
  9. M. Cucuringu, V. Blondel, P. Van Dooren, " Extracting spatial information from networks with low-order eigenvectors", Physical Review E 87, 032803 (2013), (arXiv:1111.0920)
  10. M. Cucuringu, Y. Lipman , A. Singer, "Sensor network localization by eigenvector synchronization over the Euclidean group", ACM Transactions on Sensor Networks, 8 (3), pp. 1-42 (2012)
  11. M. Cucuringu, M. W. Mahoney, "Localization on low-order eigenvectors of data matrices", Technical Report, (2011) (arXiv:1109.1355)
  12. F. Blanchet-Sadri, E. Allen, C. Byrum, M. Cucuringu and R. Mercas, "Counting Bordered Partial Words by Critical Positions", The Electronic Journal of Combinatorics, Vol. 18, 2011, #P138.
  13. F. Blanchet-Sadri, M. Cucuringu, "Counting primitive partial words", Journal of Automata, Languages and Combinatorics 15 (2010) 3/4, 199-227. (Chapter 6 in book by F. Blanchet-Sadri, "Algorithmic Combinatorics on Partial Words", Chapman & Hall/CRC Press, Boca Raton, FL, 2008)
  14. M. Cucuringu, J. Puente, and D. Shue, "Model Selection in Undirected Graphical Models with Elastic Net ", Technical Report, 2010, arXiv: 1111.0559 (arXiv)
  15. A. Singer, M. Cucuringu, "Uniqueness of Low-Rank Matrix Completion by Rigidity Theory", SIAM Journal on Matrix Analysis and Applications, 31 (4), pp. 1621-1641 (2010) (arXiv)
  16. F. Blanchet-Sadri, M. Cordier, M. Cucuringu and R. Kirsch, "Combinatorics on Border Correlations of Partial Words", International Conference on Automata, Languages and Related Topics, Debrecen, Hungary, October 21-24, 2008
  17. M. Cucuringu, R. Strichartz, "Infinitesimal Resistance Metrics on Sierpinski Gasket Type Fractals", Analysis, Vol. 28, Issue 3 (2008), page 319-331
  18. M. Cucuringu, R. Strichartz, "Self-Similar Energy Forms on the Sierpinski Gasket with Twists", Potential Analysis, 27 ( Aug 2006), page 45-60

Ph.D. Thesis: Graph Realization and Low-Rank Matrix Completion, Princeton University, 2012


Co-Authors: Francine Blanchet-Sadri, Vincent Blondel, Sanjay Chawla David Cowburn, Kunal Chaudhury, Radek Erban, Sang Hoon Lee, Yiannis Koutis, Yaron Lipman, Michael Mahoney, Robert Mercas, Mason Porter, Michaela (Puck) Rombach, Amit Singer, Robert Strichartz, Paul Van Dooren, Joseph Woodworth


Traveling/Talks
  • Applied Stochastic Models and Data Analysis (ASMDA 2017), talk at the "Optimisation for machine learning" session, London, June 6-9, 2017
  • University of Cambridge, Statistics Seminar, Cambridge, May 19, 2017
  • University of Warwick, Partial Differential Equations for Large Data, Workshop, May 10-12, 2017
  • Optimization and Statistical Learning, OSL 2017, Les Houches, France, April 9-14, 2017
  • University College London, Statistical Science Seminar, March 2017
  • Alan Turing Institute, Fellow Short Talks, Feb 2017
  • University of Oxford, Numerical Analysis Seminar, January 2017
  • SIAM Conference on Uncertainty Quantification, invited talk, in the minisymposium "Model reduction in stochastic dynamical systems", EPFL, Lausanne, Switzerland, April 2016
  • Groups and interactions in data, networks and biology, Department of Mathematical Sciences, Carnegie Mellon University, May 2015
  • Visiting Alexandre d'Aspremont, INRIA, Paris, France, March 20 - April 10, 2015
  • Structural Inference in Statistics, Spring School, Sylt, Germany, March 2015
  • AMS Joint Mathematics Meetings, San Antonio, Jan 2015
  • Algorithmic Spectral Graph Theory, Research Fellow, Simons Institute for Theory of Computing, UC Berkeley, August- December 2014
  • Graph limits, groups and stochastic processes, Summer School, MTA Renyi Institute, Budapest, June, 2014
  • AMS Mathematics Research Community, Algebraic and Geometric Methods in Applied Discrete Mathematics, June, 2014
  • Research Fellow, ICERM, Brown University, Network Science and Graph Algorithms semester program, Spring 2014
    • Semidefinite Programming and Graph Algorithms (February, 2014)
    • Stochastic Graph Models (March, 2014)
    • Electrical Flows, Graph Laplacians, and Algorithms: Spectral Graph Theory and Beyond (April, 2014)
  • Topology and Geometry of Networks and Discrete Metric Spaces worskhop, April 2014, Institute of Mathematics and its Applications, Minneapolis, Minnesota
  • Academic Visitor, Mathematical Institute, Oxford University, UK, working with Prof. Radek Erban, January 2014
  • 10th Workshop on Algorithms and Models for the Web Graph (WAW 2013), Harvard University, Cambridge, MA, USA, December 2013
  • Succinct Data Representations and Applications, Simons Institute for the Theory of Computing, September 2013


Contact information

Email:
mihai [dot] cucuringu [at] stats [dot] ox [dot] ac [dot] uk
            mihai [dot] cucuringu [at] gmail [dot] com
Address: British Library
                96 Euston Road
                London NW1 2DB, United Kingdom
Address: Department of Statistics
                University of Oxford, Oxford
                24-29 St Giles'
                Oxford OX1 3LB, United Kingdom
Homepage: http://www.stats.ox.ac.uk/~cucuring/


© 2017 Mihai Cucuringu

Last update: January, 2017

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