Teaching
- UCLA:
- Instructor: Ordinary Differential Equations with Linear Algebra for Life Sciences Students, MATH 3C, Department of Mathematics (Spring 2016)
- Instructor: Topics in Data Science: Algorithms and Mathematical Foundations, MATH 191, Department of Mathematics (course description) (syllabus) (Fall 2015)
- Instructor: Graphs and Networks, MATH 191, Department of Mathematics (course description) (syllabus) (Winter 2015)
- Instructor: Mathematics of Finance, MATH 174E, Department of Mathematics (syllabus) (Spring 2014)
- Instructor: Probability for Life Sciences Students, MATH 3C, Department of Mathematics (syllabus) (Fall 2013)
- Princeton:
- Instructor: Game Theory, MAT 308 / ECO 318, Departments of Mathematics and Economics (syllabus) (Spring 2011)
- Teaching assistant: Graph Theory, MAT/COS 306 (Prof. Paul Seymour, Spring 2009)
- Teaching assistant: Combinatorics, MAT 307 (Prof. Jan Vondrak, Spring 2008)
Publications and preprints
- 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)
- 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.
- 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)
- 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)
- 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)
- M. Cucuringu, "Synchronization over Z_{2} and community detection in multiplex signed networks with constraints", Journal of Complex Networks, 3 (3):469-506, (2015)
- 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)
- 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)
- 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)
- 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)
- M. Cucuringu, M. W. Mahoney, "Localization on low-order eigenvectors of data matrices", Technical Report, (2011) (arXiv:1109.1355)
- 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.
- 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)
- M. Cucuringu, J. Puente, and D. Shue, "Model Selection in Undirected Graphical Models with Elastic Net ", Technical Report, 2010, arXiv: 1111.0559 (arXiv)
- 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)
- 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
- M. Cucuringu, R. Strichartz, "Infinitesimal Resistance Metrics on Sierpinski Gasket Type Fractals", Analysis, Vol. 28, Issue 3 (2008), page 319-331
- 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
- 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
Office: MS 7310
Email: mihai [at] math [dot] ucla [dot] edu
mihai.cucuringu [at] gmail [dot] com
Address: UCLA Mathematics Department
University of California, Los Angeles
520 Portola Plaza
Los Angeles, CA 90095-1555
Homepage: http://www.math.ucla.edu/~mihai
© 2015 Mihai Cucuringu
Last update: April, 2015