Research Areas

• Network System Identification

  • • "Topology Identification for Sparse Dynamic Point Process Networks," in Proc. 53rd IEEE CDC, 2014.

    • "Topology Identification of Dynamic Point Process Networks," in Proc. 39th IEEE ICASSP, 2014.

    • "Distributed Topology Identification for Sparse Point Process Dynamic Networks," in Proc. 54th IEEE CDC, 2015.

    • "Distributed Topology Identification for Point Process Dynamic Networks," in Proc. 40th IEEE ICASSP, 2015.

• Dimension Reduction

  • • "Hawkes-Laguerre Dynamic Index Models for Point Processes," in Proc. 52nd IEEE CDC, 2013.

    • "Hawkes-Laguerre Reduced Rank Model for Point Process," in Proc. 38th IEEE ICASSP, 2013.

• Geometric Optimization & Control

  • • "Point-Process Principal Components Analysis via Geometric Optimization," Neural Comput., vol.25(1), 2013.

    • "Zero-Dynamics Attacks on Networked Control Systems,'' J. Process Control, vol. 105, Sep 2021.

• Stochastic Filtering

  • • "A Gaussian Mixture PHD Filter for Jump Markov System Models," IEEE Trans. Aerosp. Electron. Syst., vol.45(3), 2009.

    • "Nonlinear Bayesian Filtering using the Unscented Linear Fractional Transformation Model," IEEE Trans. Signal Process., vol.58(2), 2010.

• Information Theory 

  • • "Partial Trajectory Mutual Information Flow in a Small Point Process Network,'' in Proc. 60th IEEE CDC, in press, accepted 27 Jul 2021.

    • "Mutual Information Flows in a Bivariate Hawkes Process," in Proc. 46th IEEE ICASSP, 2021.

    • "Computing the Trajectory Mutual Information Between a Point Process and an Analog Stochastic Process," in Proc. 34th IEEE EMBC, 2012.

• Adaptive Signal Processing

  • • "On the Time-Variant Step Size Posterior LMS Algorithm," Proc. 20th IBCAST, in press, accepted 2 Aug 2023. 

    • "A variable step-size incremental LMS solution for low SNR applications," Signal Processing, vol. 178, Jan 2021.

    • "Adaptive Estimation of a Vector Point Process Model," in Proc. 58th IEEE CDC, 2019.

• Nonlinear Approximation

  • • "On the Nonstandard Finite Difference Method for Reaction-Diffusion Models," Chaos, Solitons and Fractals, vol. 166, Jan 2023. 

    • "A Third-Order Accurate in Time Method for Boundary Layer Flow Problems," Applied Numerical Mathematics, 2021.

    • "The Modified Homotopy Perturbation Method with Auxiliary Term for the Nonlinear Oscillator with Discontinuity,', J. Low Frequency Noise, Vibration & Active Control, in Special Issue: Analytical methods for nonlinear vibration, vol. 38(3-4), pp. 1363-1373, 2019.

PhD Students

1. Muhammad Yasir Event Triggered Control in Networked Control Systems

2. Atif Iftikhar Geometric Control for Spacecraft Attitude Control

3. Muhammad Fiaz Optimization on Matrix Manifolds

4. Quratulain Amjad Stochastic Differential Equation Models for Epidemics on Networks

5. Rijha Safdar Cyberphysical Security (with T. Ali)

6. Asad Ijaz Analysis of Nonlinear Problems in Ecology

MS Students

1. Huraiz Ahmed Wasiq Mutual Information Flows in Networks

2. Naima Sakhawat Optimal Control of Spread of Infectious Diseases

Former Postdocs

1. Boris Godoy (with V. Solo)

2. Maryam Bibi

Former PhD Students

1. Yasir Nawaz Numerical Methods for Boundary Layer Flow Problems (Dept. Math, AU) 2020.

Former MS Students

3. Tahira Qayyum Numerical Analysis of Epidemic Models under Nonnegativity Constraints (Dept. Math, AU)

4. Baseer ul Haq A Natural Gradient Descent Algorithm for the Sylvester Equation (Dept. Math, AU)

5. Ayesha Ayub Zero Dynamics Attacks on Networked Control Systems (SEECS NUST)

6. Rijha Safdar False Data Injection Attacks on Cyberphysical Systems (SEECS NUST)

7. Shiza Shaukat Controller Design under Power Constraints for Denial-of-Service Attacks (SEECS NUST)

8. Sabbih Shah Sparse Inverse Covariance Estimation

9. Hussain Asif System Identification of Point Process Systems under Stability Constraints

10. Muhammad Ibrahim Simulation of High Dimensional Point Processes

11. Asad Chugtai Consensus and Diffusion Algorithms for Flight Control Problem (SEECS NUST)

12. Abaid Rehman Model Predictive Control for Replay Attacks (SEECS NUST)

13. Muhammad Nauman Performance Analysis of Error Correcting Codes for an SDR-based SATCOM Modem (Dept. IAA, AU)

14. Muhammad Fiaz Optimization Algorithms for Symplectic Matrix Manifolds (Dept. Math, AU)

15. Fazeel Ahmad Unmixing Algorithms For Application in Hyperspectral Imaging (with I. Farid)

16. Ghulam Nabi Sparse Matrix Completion

17. Maimoona Siddiq $\ell_o$-Penalized Regression and Application in Neuroimaging