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Ankur A. Kulkarni

Assistant Professor

Systems and Control Engineering

Indian Institute of Technology Bombay



Publications (accepted/published)

 Journal

  1. Ankur A. Kulkarni, "Local and Networked Mean Square Estimation with High Dimensional Log-concave Noise", accepted by the IEEE Transactions on Information Theory, 2017.

  2. Parthe Pandit and Ankur A. Kulkarni, "A Linear Complementarity Based Characterization of the weighted independence number and the independent domination number in graphs", accepted subject to minor modifications by Discrete Applied Mathematics, 2017.

  3. Mathew Abraham and Ankur A. Kulkarni, "An Approach Based on Generalized Nash Games and Shared Constraints for Discrete Time Dynamic Games", accepted by Dynamic Games and Applications, 2017.

  4. Ankur A. Kulkarni, "Near-Optimality of Linear Strategies for Static Teams with `Big' Non-Gaussian Noise", accepted subject to minor revisions by the IEEE Transactions on Automatic Control, 2017 [arXiv].

  5. Sharu Theresa Jose and Ankur A. Kulkarni, "Linear Programming based Converses for Finite Blocklength Lossy Joint Source-Channel Coding", IEEE Transactions on Information Theory, Vol 63, No 11, pp 7066 -- 7094, (2017) [arXiv].

  6. Ankur A. Kulkarni, "Games and Teams With Shared Constraints", Philosophical Transactions of the Royal Society A, 2017 (invited paper).

  7. Daniel Cullina, Negar Kiyavash and Ankur A. Kulkarni, "Restricted Composition Deletion Correcting Codes", IEEE Transactions on Information Theory, Vol 62, No 9, pp 4819 -- 4832.

  8. Ankur A. Kulkarni and Uday V. Shanbhag, "An Existence Result for Hierarchical Stackelberg v/s Stackelberg Games", IEEE Transactions on Automatic Control, Vol 60, No 12, pp 3379--3384 (2015) [arXiv].

  9. Ankur A. Kulkarni and Uday V. Shanbhag, "A Shared-Constraint Approach to Multi-leader Multi-follower Games", Set-valued and Variational Analysis, Vol 22, No 4, pp 691--720 (2014) [arXiv].

  10. Ankur A. Kulkarni and Todd P. Coleman, "An Optimizer’s Approach to Stochastic Control Problems with Nonclassical Information Structures", IEEE Transactions on Automatic Control, Vol 60, No 4, pp 937--949 (2015) [arXiv].

  11. Ankur A. Kulkarni, Negar Kiyavash and R. Sreenivas, "On the Varshamov-Tenengolts Construction on Binary Strings", Discrete Mathematics, Vol 317, pp 79--90, (2014).

  12. Ankur A. Kulkarni and Negar Kiyavash, "Non-asymptotic Upper Bounds for Deletion Correcting Codes", IEEE Transactions on Information Theory, Vol 59, No 8, pp 5115--5130 (2013) [arXiv].

  13. Ankur A. Kulkarni and Uday V. Shanbhag, "Revisiting Generalized Nash Games and Variational Inequalities", Journal of Optimization Theory and Applications, Volume 154, No 1 (2012), pp 175-186.

  14. Ankur A. Kulkarni and Uday V. Shanbhag, "On the Variational Equilibrium as a Refinement of the Generalized Nash Equilibrium", Automatica Volume 48, Issue 1 (2012), pp 45–55.

  15. Ankur A. Kulkarni and Vivek S. Borkar, "Finite Dimensional Approximation and Newton-based Algorithm for Stochastic Approximation in Hilbert Space", Automatica, Volume 45 (2009), pp 2815--2822.

  16. Ankur A. Kulkarni and Uday V. Shanbhag, "Recourse-based Stochastic Nonlinear Programming: Properties and Benders-SQP Algorithms", Computational Optimization and Applications Volume 51, Issue 1, (2012), pp 77-123. Published in Online first (2010): DOI: 10.1007/s10589-010-9316-8.

 Conference (refereed)

  1. Mansi Sood, Sharayu Moharir and Ankur A. Kulkarni "Pricing in Two-Sided Markets in the Presence of Free Upgrades", accepted by COMSNETS 2018.

  2. Mathew Abraham and Ankur A. Kulkarni, "On the Existence of Equilibria in Price-Coupling Games", to appear in the Proceedings of the Indian Control Conference, 2018 (Best Student Paper Award).

  3. Sharu Theresa Jose and Ankur A. Kulkarni, "Linear Programming based Finite Blocklength Converses for Some Network-like Problems", to appear in the Proceedings of IEEE Information Theory Workshop, 2017.

  4. Smita Solanki and Ankur A. Kulkarni, "Separating the Good from the Bad in Rating Systems: A Framework and Numerical Evidence", Proceedings of IEEE SPICES 2017.

  5. Sharu Theresa Jose and Ankur A. Kulkarni, "A Linear Programming Based Channel Coding Strong Converse for the BSC and BEC", Proceedings of the National Conference on Communications 2017 (Best Paper Award).

  6. Parthe Pandit and Ankur A. Kulkarni, "Non-constructive Lower Bounds for Binary Asymmetric Error Correcting Codes", Proceedings of the National Conference on Communications 2017.

  7. Ankur A. Kulkarni, "Mean-square estimation with high dimensional log-concave noise", Proceedings of the IEEE Conference on Decision and Control, 2016.

  8. Ankur A. Kulkarni, "Approximately Optimal Linear Strategies for Static Teams with `Big' Non-Gaussian Noise", Proceedings of the IEEE Conference on Decision and Control, 2015.

  9. Sharu Theresa Jose and Ankur A. Kulkarni, "A Linear Programming Relaxation for Stochastic Control Problems with Non-Classical Information Patterns" Proceedings of the IEEE Conference on Decision and Control, 2015.

  10. Bharat Prabhakar and Ankur A. Kulkarni, "Dimensionality Reduction of Affine Variational Inequalities Using Random Projections", Proceedings of the Allerton Conference 2014.

  11. Ankur A. Kulkarni, "Insertion and Deletion Errors with a Forbidden Symbol" to appear in the Proceedings of the IEEE Information Theory Workshop 2014.

  12. Ankur A. Kulkarni and Uday V. Shanbhag "On the Consistency of Leaders' Conjectures in Hierarchical Games", Proceedings of IEEE Conference on Decision and Control, 2013, pp 1180--1185.

  13. Ankur A. Kulkarni and Todd P. Coleman, "An Optimizer's approach to Stochastic Control Problems with Nonclassical Information Structure", Proceedings of the IEEE Conference on Decision and Control, 2012, pp 154--159.

  14. Daniel Cullina, Ankur A. Kulkarni, and Negar Kiyavash, "A Coloring Approach to Constructing Deletion Correcting Codes from Constant Weight Subgraphs", Proceedings of IEEE International Symposium on Information Theory, 2012.

  15. Ankur A. Kulkarni and Uday V. Shanbhag, "New Insights on Generalized Nash Games with Shared Constraints: Constrained and Variational Equilibria", Proceedings of the IEEE Conference on Decision and Control, December 2009.

  16. Wei Chen, Dayu Huang, Ankur A. Kulkarni, Jayakrishnan Unnikrishnan, Quanyan Zhu, Prashant Mehta, Sean Meyn, Adam Wierman, "Approximate Dynamic Programming using Fluid and Diffusion Approximations with Applications to Power Management", Proceedings of the IEEE Conference on Decision and Control, December 2009.

  17. Ankur A. Kulkarni, Albert Rossi, Jay Alameda and Uday V. Shanbhag, "A Grid-Computing Framework for Quadratic Programming Under Uncertainty", Proceedings of the TeraGrid, 2007.

  18. Ankur A. Kulkarni, "Graph Partitioning and Aerospace -- Partitioning Unstructured Grids for CFD using Graph Theory", Proceedings of 18th National Convention of Aerospace Engineers, 2004.

Preprints/under review

  1. Sharu Theresa Jose and Ankur A. Kulkarni, "Improved Finite Blocklength Converses for Slepian-Wolf Coding via Linear Programming", under review with the IEEE Transactions on Information Theory, 2018 [arXiv].

  2. Sharu Theresa Jose and Ankur A. Kulkarni, "New Finite Blocklength Converses for Asymmetric Multiple Access Channels via Linear Programming", under review for SPCOM 2018.

  3. Mansi Sood, Ankur A. Kulkarni and Sharayu Moharir, "Platform Competition for Throughput in Two-sided Freelance Markets", under review for SPCOM 2018.

  4. Parthe Pandit and Ankur A. Kulkarni, "Refinement of the Equilibrium of Public Goods Games over Networks: Efficiency and Effort of Specialized Equilibria", under review with The Journal of Mathematical Economics [arXiv] [MPRA], 2016.

  5. Mathew Abraham and Ankur A. Kulkarni, "New Results on the Existence of Open Loop Nash Equilibria in Discrete Time Dynamic Games via Generalized Nash Games", under review with Mathematical Methods of Operations Research, 2016.

Theses

  1. Generalized Nash Games with Shared Constraints: Existence, Efficiency, Refinement and Equilibrium Constraints. Can be downloaded here. But I suggest you look at my papers for the most up-to-date version of that work.

  2. Topics in Stochastic Optimization and Equilibrium Problems, M. S. Thesis, UIUC. Published as a monograph with VDM Verlag Dr. Muller, July 2009.

  3. Adaptive Sampling based Sampling Strategies for the DACE Surrogate Model for Expensive Black-box functions, B. Tech. Project, IIT Bombay.

Other writing

  1. Prisoner's Dilemma: An Experiment

Service and organization

  1. Organized the Third IIT Bombay Winter School on Optimization and Control.

  2. Reviewer for: IEEE Transactions on Automatic Control, Automatica, IEEE Transactions on Information theory, IEEE Transactions on Communications, Mathematical Programming, IEEE Transactions on Signal Processing, Optimal Control Applications and Methods, IEEE Journal on Selected Areas in Communications (Game theory in Wireless Communications), International Game Theory Review, Indian Journal of Pure and Applied Mathematics, Journal of Optimization Theory and Applications