Research

Research Interests

• Statistical Machine Learning: Bayesian Learning; Uncertainty Quantification; Sparse Approximation
• Optimization: Distributed/Decentralized Algorithms; Optimization on Networks
• Applications: Synthetic-aperture radar (SAR); Magnetic Resonance Imaging (MRI); Financial Portfolio; Power Grids; Always looking for more…

Grants

• active

  • NSF DMS-2318781

• completed

  • NSF DMS-1939203
  • NSF DMS-1521661

Recent Publications (see a complete list at Google Scholar)

> Lixin Shen and Guohui Song, Proximity Operator of the ℓ1 over ℓ2 Function, under review, 2025. ArXiv

> Guohui Song and Congzhi Xia, A Hybrid Reconstruction of Piece-wise Smooth Functions from Non-uniform Fourier Data, under review, 2025. ArXiv

> Nazar Emirov, Guohui Song, and Qiyu Sun, Exponential Convergence of a Distributed Divide-and-conquer Algorithm for Constrained Convex Optimization on Networks, Expositiones Mathematicae, 43(2025). ArXiv Journal

Presentations