Gaurav S. Thakur
Email

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Research publications

I have written research articles in harmonic analysis, statistics, signal processing, and various other fields.

Synchrosqueezing theory and time-frequency analysis

• "The Synchrosqueezing algorithm for time-varying spectral analysis: robustness properties and new paleoclimate applications"
  G. Thakur, E. Brevdo, N.-S. Fuckar and H.-T. Wu, Signal Processing 93:1079-1094 (2013), Journal, arXiv and Matlab code
  2018 EURASIP Best Paper Award
  
  
• "Synchrosqueezing-based recovery of instantaneous frequency from nonuniform samples"
  G. Thakur and H.-T. Wu, SIAM Journal on Mathematical Analysis, 43(5):2078-2095 (2011), Journal, arXiv
  
  
• "The Synchrosqueezing transform for instantaneous spectral analysis"
  G. Thakur, Excursions in Harmonic Analysis vol. 4 (invited book chapter) (2015), Book, arXiv

Nonuniform sampling and bandlimited function theory

• "Bounded mean oscillation and bandlimited interpolation in the presence of noise"
  G. Thakur, Journal of Functional Analysis, 260(8):2283-2299 (2011), Journal, arXiv
  
  
• "Reconstruction of bandlimited functions from unsigned samples"
  G. Thakur, Journal of Fourier Analysis and Applications, 17(4):720-732 (2011), Journal, arXiv
  
  
• "Reconstructing real-valued functions from unsigned coefficients with respect to wavelet and other frames"
  R. Alaifari, I. Daubechies, P. Grohs and G. Thakur, Journal of Fourier Analysis and Applications 23(6):1480-1494 (2017), Journal, arXiv
  
  
• "Three analytic problems in signal sampling and reconstruction theory"
  G. Thakur, Ph.D. thesis (2011), PDF
  

Performance analysis of data fusion networks

• "Deterministic Bayesian information fusion and the analysis of its performance"
  G. Thakur, Information and Inference 3(4):345-366 (2014), Journal, arXiv
  
  
• "Sequential testing over multiple stages and performance analysis of data fusion"
  G. Thakur, SPIE Signal Processing, Sensor Fusion and Target Recognition XXII, Proc. SPIE 87540S (2013), Proceedings, arXiv

Information limits in communications systems

• "Spread spectrum codes for continuous-phase modulated systems"
  G. Thakur, IEEE Transactions on Communications, 62(3):952-960 (2014), Journal, arXiv

Financial market stress indicators

• "Analysis of non-stationary dynamics in the financial system"
  S. Guharay, G. Thakur, F. Goodman, S. Rosen, D. Houser, Economics Letters, 121(3):454-457 (2013), Journal, SSRN
  
  
• "Integrated data-driven analytics to identify instability signatures in non-stationary financial time series"
  S. Guharay, G. Thakur, F. Goodman, S. Rosen, D. Houser, Applied Economics 48(18):1678-1694 (2016), Journal
  

Statistical detection of identity fraud

• "A Bayesian algorithm for detecting identity matches and fraud in image databases"
  G. Thakur, Technical report (2015), arXiv

Network design and capacity management

• "Two use cases of machine learning for SDN-enabled IP/optical networks: traffic matrix prediction and optical path performance prediction"
  G. Choudhury, D. Lynch, G. Thakur and S. Tse, IEEE Journal of Optical Communications and Networking 10:10 (2018), Journal, arXiv

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Patents

• "Traffic matrix prediction and fast reroute path computation in packet networks"
  G. Choudhury, G. Thakur, S. Tse, K. Meier-Hellstern, U.S. patents 10581736 and 11303565
  
  
• "Apparatus and method for object classification based on imagery"
  
  A. Jotshi, K. Meier-Hellstern, G. Thakur, S. Li, V. Kounev, Pending
  
  
• "Multi-stage object detection and categorization of antenna mount locations"
  A. Jotshi, A. Rathod, G. Thakur, S. Krishnaswamy, S. Li, K. Meier-Hellstern, M. Shah, M. Suchara, U.S. patent 10728769
  
  
• "Machine learning techniques for selecting paths in multi-vendor reconfigurable optical add/drop multiplexer networks"
  M. Birk, D. Lynch, G. Thakur, S. Tse, U.S. patent 10686544
  
  
• "Cell site placement system"
  G. Thakur, D. Liu, A. Sridharan, A. Jotshi, K. Meier-Hellstern, Pending
  
  
• "Creating and using network coverage models"
  D. Liu, A. Jotshi, G. Thakur, V. Kounev, F. Wu, Y. Kanza, D. A. Babu, U.S. patent 10959109 Bl
  
  

Other work

I design custom Lego models and display them at shows and exhibitions around the USA.

I used to build mods and total conversions for video games many years ago:
        The Procyon Insurgency, my masterpiece (with media coverage here and here and LPs here, here and here)
Future Wars 4
        Limefrost Spiral Research Base
Lemmings level pack