Institute for Mathematics and its Applications

Research output

Research output per year 1988 2013 2014 2015 2016 2020

• 113 Article
• 25 Conference contribution
• 1 Chapter
• 1 Paper
• 4 More
  • 1 Comment/debate
  • 1 Conference article
  • 1 Letter
  • 1 Review article

Research output per year

Research output per year

Search results

• 2020

  Entropic CLT for Smoothed Convolutions and Associated Entropy Bounds

  Bobkov, S. G. & Marsiglietti, A., Nov 1 2020, In: International Mathematics Research Notices. 2020, 21, p. 8057-8080 24 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Sums of Independent Random Variables 100%
  • Convolution 63%
  • Entropy 61%
  • Asymptotic Behavior 54%
  2 Scopus citations

• Unexpected two-fold symmetric superconductivity in few-layer NbSe$_2$

  Hamill, A., Heischmidt, B., Sohn, E., Shaffer, D., Tsai, K-T., Zhang, X., Xi, X., Suslov, A., Berger, H., Forró, L., Burnell, F. J., Shan, J., Mak, K. F., Fernandes, R. M., Wang, K. & Pribiag, V. S., Apr 6 2020, (Submitted) In: arXiv.

  Research output: Contribution to journal › Article › peer-review
• 2019

  Alternative resource allocation mechanisms for the collaborative trajectory options Program (CTOP)

  Estes, A. S. & Ball, M. O., 2019.

  Research output: Contribution to conference › Paper › peer-review

  • Allocation Mechanisms 100%
  • resource allocation 91%
  • Trajectory 71%
  • Resource Allocation 69%
  • Resource allocation 65%
  1 Scopus citations

• Randomized Primal–Dual Proximal Block Coordinate Updates

  Gao, X., Xu, Y. Y. & Zhang, S. Z., Jun 5 2019, In: Journal of the Operations Research Society of China. 7, 2, p. 205-250 46 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Multiblock 100%
  • Convex optimization 73%
  • Update 67%
  • Convex Optimization 65%
  • Method of multipliers 61%
  16 Scopus citations

• Unsupervised prototype reduction for data exploration and an application to air traffic management initiatives

  Estes, A., Lovell, D. J. & Ball, M. O., Dec 1 2019, In: EURO Journal on Transportation and Logistics. 8, 5, p. 467-510 44 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Air Traffic Management 100%
  • Prototype 58%
  • air traffic 54%
  • Unsupervised learning 30%
  • Air 29%
  1 Scopus citations
• 2018

  A copositive approach for two-stage adjustable robust optimization with uncertain right-hand sides

  Xu, G. & Burer, S., May 1 2018, In: Computational Optimization and Applications. 70, 1, p. 33-59 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Robust Optimization 100%
  • Policy 73%
  • NP-hard 72%
  • Linear programming 69%
  • Polynomials 57%
  26 Scopus citations

• A data-driven distributionally robust bound on the expected optimal value of uncertain mixed 0-1 linear programming

  Xu, G. & Burer, S., Jan 1 2018, In: Computational Management Science. 15, 1, p. 111-134 24 p.

  Research output: Contribution to journal › Article › peer-review

  • Data-driven 100%
  • Linear Programming 82%
  • Linear programming 81%
  • Ambiguity 65%
  • 0-1 Programming 43%
  8 Scopus citations

• Constraint Control of Nonholonomic Mechanical Systems

  Putkaradze, V. & Rogers, S., Feb 1 2018, In: Journal of Nonlinear Science. 28, 1, p. 193-234 42 p.

  Research output: Contribution to journal › Article › peer-review

  • Nonholonomic Systems 100%
  • Control Constraints 94%
  • Mechanical Systems 80%
  • Optimal Control 63%
  • Nonholonomic Constraints 54%
  7 Scopus citations

• Linear openness and feedback stabilization of nonlinear control systems

  Gupta, R., Jafari, F., Kipka, R. J. & Mordukhovich, B. S., Dec 2018, In: Discrete and Continuous Dynamical Systems - Series S. 11, 6, p. 1103-1119 17 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Nonlinear control systems 100%
  • Feedback Stabilization 97%
  • Nonlinear Control Systems 92%
  • Feedback Law 76%
  • Stabilization 64%
  7 Scopus citations

• On the dynamics of a rolling ball actuated by internal point masses

  Putkaradze, V. & Rogers, S., Dec 1 2018, In: Meccanica. 53, 15, p. 3839-3868 30 p.

  Research output: Contribution to journal › Article › peer-review

  • balls 100%
  • Rails 93%
  • Equations of motion 68%
  • rails 56%
  • Solenoids 45%
  17 Scopus citations

• Optimal change point detection in Gaussian processes

  Keshavarz, H., Scott, C. & Nguyen, X. L., Feb 2018, In: Journal of Statistical Planning and Inference. 193, p. 151-178 28 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Gaussian Process 100%
  • Change-point Detection 98%
  • Change Point 92%
  • Covariance matrix 72%
  • Maximum likelihood 66%
  22 Scopus citations

• Robust PCA via Dictionary Based Outlier Pursuit

  Li, X., Ren, J., Rambhatla, S., Xu, Y. & Haupt, J., Sep 10 2018, 2018 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2018 - Proceedings. Institute of Electrical and Electronics Engineers Inc., p. 4699-4703 5 p. 8461593. (ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings; vol. 2018-April).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Hyperspectral imaging 100%
  • Glossaries 65%
  • Recovery 45%
  • Experiments 24%
  3 Scopus citations
• 2017

  A branch-and-bound algorithm for instrumental variable quantile regression

  Xu, G. & Burer, S., Dec 1 2017, In: Mathematical Programming Computation. 9, 4, p. 471-497 27 p.

  Research output: Contribution to journal › Article › peer-review

  • Instrumental Variables 100%
  • Branch and Bound Algorithm 98%
  • Quantile Regression 91%
  • Complementarity Constraints 56%
  • Quadratic Program 49%
  2 Scopus citations

• On an optimal stopping problem of an insider

  Bayraktar, E. & Zhou, Z., 2017, In: Theory of Probability and its Applications. 61, 1, p. 129-133 5 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Optimal Stopping Problem 100%
  • Insider 71%
  • Continuity 69%
  • Reflected Backward Stochastic Differential Equation 53%
  • Backward Stochastic Differential Equation 53%
  3 Scopus citations

• On the convergence of iterative learning control

  Ghazaei Ardakani, M. M., Khong, S. Z. & Bernhardsson, B., Apr 1 2017, In: Automatica. 78, p. 266-273 8 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access
  32 Scopus citations

• Robust sensitivity analysis of the optimal value of linear programming

  Xu, G. & Burer, S., Nov 2 2017, In: Optimization Methods and Software. 32, 6, p. 1187-1205 19 p.

  Research output: Contribution to journal › Article › peer-review

  • Linear Program 100%
  • Sensitivity Analysis 99%
  • Linear programming 89%
  • Sensitivity analysis 85%
  • Uncertainty 54%
  6 Scopus citations

• SUPER-HEDGING AMERICAN OPTIONS with SEMI-STATIC TRADING STRATEGIES under MODEL UNCERTAINTY

  BAYRAKTAR, ERHAN. & ZHOU, ZHOU., Sep 1 2017, In: International Journal of Theoretical and Applied Finance. 20, 6, 1750036.

  Research output: Contribution to journal › Article › peer-review

  • Superhedging 100%
  • American Options 78%
  • Trading Strategies 64%
  • Martingale Measure 15%
  • Randomization 12%
  8 Scopus citations
• 2016

  A fast patch-dictionary method for whole image recovery

  Xu, Y. & Yin, W., May 2016, In: Inverse Problems and Imaging. 10, 2, p. 563-583 21 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Image Recovery 100%
  • Patch 65%
  • Glossaries 59%
  • Recovery 41%
  • Overlapping 21%
  28 Scopus citations

• A generalization of Aztec diamond theorem, part II

  Lai, T., Mar 6 2016, In: Discrete Mathematics. 339, 3, p. 1172-1179 8 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Strombus or kite or diamond 100%
  • Nonintersecting Lattice Paths 73%
  • Condensation 54%
  • Square Lattice 52%
  • Generalization 45%
  3 Scopus citations

• An extremum seeking approach to sampled-data iterative learning control of continuous-time nonlinear systems

  Khong, S. Z., Nešić, D. & Krstić, M., 2016, In: IFAC-PapersOnLine. 49, 18, p. 962-967 6 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Nonlinear systems 100%
  • Trajectories 40%
  3 Scopus citations

• A Unifying Framework for Robust Synchronization of Heterogeneous Networks via Integral Quadratic Constraints

  Khong, S. Z., Lovisari, E. & Rantzer, A., May 2016, In: IEEE Transactions on Automatic Control. 61, 5, p. 1297-1309 13 p., 7438813.

  Research output: Contribution to journal › Article › peer-review

  • Heterogeneous networks 100%
  • Synchronization 76%
  • Graph structures 23%
  • Robustness (control systems) 22%
  • Structural properties 20%
  33 Scopus citations

• Characterizing the positive semidefiniteness of signed Laplacians via Effective Resistances

  Chen, W., Liu, J., Chen, Y., Khong, S. Z., Wang, D., Başar, T., Qiu, L. & Johansson, K. H., Dec 27 2016, 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., p. 985-990 6 p. 7798396. (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Effective Resistance 100%
  • Negative resistance 96%
  • Laplacian Matrix 83%
  • Signed 72%
  • Matrix 61%
  32 Scopus citations

• Concavity properties of extensions of the parallel volume

  Marsiglietti, A., Jan 1 2016, In: Mathematika. 62, 1, p. 266-282 17 p.

  Research output: Contribution to journal › Article › peer-review

  • Concavity 100%
  • Lebesgue Measure 43%
  2 Scopus citations

• Convergence of Finite Difference Schemes to the Aleksandrov Solution of the Monge-Ampère Equation

  Awanou, G. & Awi, R., Aug 1 2016, In: Acta Applicandae Mathematicae. 144, 1, p. 87-98 12 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Finite Difference Scheme 100%
  • Equicontinuity 70%
  • Convexity 43%
  3 Scopus citations

• Diagonal Lyapunov functions for positive linear time-varying systems

  Khong, S. Z. & Rantzer, A., Dec 27 2016, 2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., p. 5269-5274 6 p. 7799076. (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  Open Access

  • Lyapunov Function 100%
  • Linear Time-varying Systems 80%
  • Time varying systems 72%
  • Lyapunov functions 65%
  • Time-varying 56%
  16 Scopus citations

• Differentiability and compactness of the C₀-semigroup generated by the reparable system with finite repair time

  Hu, W., Jan 15 2016, In: Journal of Mathematical Analysis and Applications. 433, 2, p. 1614-1625 12 p., 19758.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • C0-semigroup 100%
  • Repair 93%
  • Compactness 70%
  • Differentiable 35%
  9 Scopus citations

• Do Minkowski averages get progressively more convex?

  Fradelizi, M., Madiman, M., Marsiglietti, A. & Zvavitch, A., Feb 1 2016, In: Comptes Rendus Mathematique. 354, 2, p. 185-189 5 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Non-convexity 100%
  • Monotonicity 95%
  • Hausdorff Distance 90%
  • Convex Hull 36%
  • Compact Set 35%
  10 Scopus citations

• Double Aztec rectangles

  Lai, T., Apr 1 2016, In: Advances in Applied Mathematics. 75, p. 1-17 17 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Rectangle 92%
  • Generating Function 80%
  • Domino Tilings 70%
  • Plane Partitions 65%
  • Product formula 56%
  4 Scopus citations

• Enumeration of antisymmetric monotone triangles and domino tilings of quartered Aztec rectangles

  Lai, T., May 6 2016, In: Discrete Mathematics. 339, 5, p. 1512-1518 7 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Domino Tilings 100%
  • Antisymmetric 77%
  • Rectangle 65%
  • Enumeration 62%
  • Triangle 57%
  2 Scopus citations

• Enumeration of hybrid domino-lozenge tilings II: Quasi-octagonal regions

  Lai, T., Apr 1 2016, In: Electronic Journal of Combinatorics. 23, 2, P2.2.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Domino Tilings 100%
  • Octagon 96%
  • Product formula 79%
  • Hexagon 71%
  • Replacement 67%
  1 Scopus citations

• Feedback stabilization of a thermal fluid system with mixed boundary control

  Burns, J. A., He, X. & Hu, W., Jun 1 2016, In: Computers and Mathematics with Applications. 71, 11, p. 2170-2191 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Feedback Stabilization 100%
  • Boundary Control 84%
  • Nonlinear equations 84%
  • Stabilization 66%
  • Fluid 60%
  20 Scopus citations

• Generating Function of the Tilings of an Aztec Rectangle with Holes

  Lai, T., May 1 2016, In: Graphs and Combinatorics. 32, 3, p. 1039-1054 16 p.

  Research output: Contribution to journal › Article › peer-review

  • Domino Tilings 94%
  • Rectangle 92%
  • Generating Function 80%
  • Strombus or kite or diamond 35%
  • Vertical 29%
  5 Scopus citations

• Global Attractors of Sixth Order PDEs Describing the Faceting of Growing Surfaces

  Korzec, M. D., Nayar, P. & Rybka, P., Mar 1 2016, In: Journal of Dynamics and Differential Equations. 28, 1, p. 49-67 19 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Global Attractor 100%
  • Dissipation 23%
  • Slope 22%
  • Unique Solution 21%
  • Attractor 21%
  4 Scopus citations

• Iterative learning control based on extremum seeking

  Khong, S. Z., Nešić, D. & Krstić, M., Apr 1 2016, In: Automatica. 66, p. 238-245 8 p.

  Research output: Contribution to journal › Article › peer-review

  • Trajectories 100%
  • Global optimization 74%
  • Nonlinear systems 61%
  51 Scopus citations

• Majority digraphs

  Lai, T., Endrullis, J. & Moss, L. S., 2016, In: Proceedings of the American Mathematical Society. 144, 9, p. 3701-3715 15 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Digraph 100%
  • Reversal 24%
  • Propositional Logic 24%
  • Assertion 21%
  • Finite Set 17%
  4 Scopus citations

• On Lipschitz analysis and Lipschitz synthesis for the phase retrieval problem

  Balan, R. & Zou, D., May 1 2016, In: Linear Algebra and Its Applications. 496, p. 152-181 30 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Phase Retrieval 100%
  • Synthesis 60%
  • Lipschitz 55%
  • Metric 25%
  • Lipschitz Map 12%
  19 Scopus citations

• On the consistency of inversion-free parameter estimation for Gaussian random fields

  Keshavarz, H., Scott, C. & Nguyen, X. L., Sep 1 2016, In: Journal of Multivariate Analysis. 150, p. 245-266 22 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Random Field 100%
  • Parameter Estimation 76%
  • Inversion 58%
  • Environmental Modelling 27%
  • Differentiability 24%
  2 Scopus citations

• On the definiteness of graph Laplacians with negative weights: Geometrical and passivity-based approaches

  Chen, Y., Khong, S. Z. & Georgiou, T. T., Jul 28 2016, 2016 American Control Conference, ACC 2016. Institute of Electrical and Electronics Engineers Inc., p. 2488-2493 6 p. 7525290. (Proceedings of the American Control Conference; vol. 2016-July).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Multi agent systems 100%
  • Physics 91%
  • Networks (circuits) 58%
  34 Scopus citations

• On the densities of cliques and independent sets in graphs

  Huang, H., Linial, N., Naves, H. S., Peled, Y. & Sudakov, B., Oct 1 2016, In: Combinatorica. 36, 5, p. 493-512 20 p.

  Research output: Contribution to journal › Article › peer-review

  • Independent Set 100%
  • Clique 98%
  • Colouring 57%
  • Extremal Set Theory 53%
  • Graph in graph theory 46%
  4 Scopus citations

• On the improvement of concavity of convex measures

  Marsiglietti, A., Feb 2016, In: Proceedings of the American Mathematical Society. 144, 2, p. 775-786 12 p.

  Research output: Contribution to journal › Article › peer-review

  • Concavity 100%
  • Terminology 96%
  • Log-concave 36%
  • Symmetry 20%
  • Generalise 16%
  12 Scopus citations

• On the maximum quartet distance between phylogenetic trees

  Alon, N., Naves, H. & Sudakov, B., 2016, In: SIAM Journal on Discrete Mathematics. 30, 2, p. 718-735 18 p.

  Research output: Contribution to journal › Article › peer-review

  • Caterpillar 35%
  • Leaves 26%
  • Algebra 14%
  8 Scopus citations

• On the maximum quartet distance between phylogenetic trees

  Alon, N., Naves, H. & Sudakov, B., 2016, 27th Annual ACM-SIAM Symposium on Discrete Algorithms, SODA 2016. Krauthgamer, R. (ed.). Association for Computing Machinery, p. 2095-2106 12 p. (Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms; vol. 3).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  Open Access

  • Algebra 83%
  • Machinery 76%
  • Caterpillar 35%
  • Leaves 26%

• Sensitivity analysis for active control of the Helmholtz equation

  Hubenthal, M. & Onofrei, D., Aug 1 2016, In: Applied Numerical Mathematics. 106, p. 1-23 23 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Helmholtz equation 100%
  • Active Control 97%
  • Helmholtz Equation 70%
  • Sensitivity Analysis 70%
  • Minimal Energy 61%
  7 Scopus citations

• Sensitivity of anomalous localized resonance phenomena with respect to dissipation

  Meklachi, T., Milton, G. W., Onofrei, D., Thaler, A. E. & Funchess, G., 2016, In: Quarterly of Applied Mathematics. 74, 2, p. 201-234 34 p.

  Research output: Contribution to journal › Article › peer-review

  • Charge density 100%
  • Anomalous 83%
  • Charge 71%
  • Dissipation 70%
  • Blow-up 20%
  5 Scopus citations

• The Linear KdV Equation with an Interface

  Deconinck, B., Sheils, N. E. & Smith, D. A., Oct 1 2016, In: Communications in Mathematical Physics. 347, 2, p. 489-509 21 p.

  Research output: Contribution to journal › Article › peer-review

  • Korteweg-de Vries Equation 100%
  • Linear equation 78%
  • Interface Conditions 62%
  • Interface Problems 60%
  • Compatibility Conditions 57%
  21 Scopus citations
• 2015

  Aerodynamic Shape Optimization via Global Extremum Seeking

  Lee, K. W., Moase, W. H., Khong, S. Z., Ooi, A. & Manzie, C., Nov 2015, In: IEEE Transactions on Control Systems Technology. 23, 6, p. 2336-2343 8 p., 7041216.

  Research output: Contribution to journal › Article › peer-review

  • Shape optimization 100%
  • Aerodynamics 75%
  • Global optimization 49%
  • Airfoils 23%
  • Drag 21%
  6 Scopus citations

• Alternating direction method of multipliers for regularized multiclass support vector machines

  Xu, Y., Akrotirianakis, I. & Chakraborty, A., 2015, Machine Learning, Optimization, and Big Data - 1st International Workshop, MOD 2015 Taormina, Revised Selected Papers. Pavone, M., Farinella, G. M., Cutello, V. & Pardalos, P. (eds.). Springer Verlag, p. 105-117 13 p. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); vol. 9432).

  Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

  • Method of multipliers 100%
  • Multi-class 97%
  • Alternating Direction Method 97%
  • Support Vector Machine 94%
  • Support vector machines 60%
  2 Scopus citations

• A new proof for the number of lozenge tilings of quartered hexagons

  Lai, T., Jun 6 2015, In: Discrete Mathematics. 338, 11, p. 1866-1872 7 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Hexagon 100%
  • Plane Partitions 64%
  • Triangular Lattice 61%
  • Condensation 57%
  • Product formula 55%
  11 Scopus citations

• A note on an L^p-Brunn-Minkowski inequality for convex measures in the unconditional case

  Marsiglietti, A., 2015, In: Pacific Journal of Mathematics. 277, 1, p. 187-200 14 p.

  Research output: Contribution to journal › Article › peer-review

  Open Access

  • Brunn-Minkowski Inequality 100%
  • Log-concave 29%
  • Concavity 13%
  • Convex Body 12%
  • Compact Set 11%
  7 Scopus citations

• Block stochastic gradient iteration for convex and nonconvex optimization

  Xu, Y. & Yin, W., 2015, In: SIAM Journal on Optimization. 25, 3, p. 1686-1716 31 p.

  Research output: Contribution to journal › Article › peer-review

  • Stochastic Gradient 100%
  • Nonconvex Optimization 90%
  • Logistic regression 84%
  • Convex optimization 80%
  • Convex Optimization 78%
  82 Scopus citations