Publications

• "Solving Functional PDEs with Gaussian Processes and Applications to Functional Renormalization Group Equations". Xianjin Yang, Matthieu Darcy, Matthew Hudes, Francis J. Alexander, Gregory Eyink, and Houman Owhadi.
  arXiv preprint (2025). arXiv: 2512.20956
• "An economically realistic asset exchange model". Bruce M. Boghosian, Matthew Hudes, Gor A. Khachatryan, and Jeremy Marcq.
  Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 380.2224 (2022), p. 20210167. DOI: 10.1098/rsta.2021.0167

Presentations

• Direct Approximation of FRG Flow Equations via Kernel Methods: Application to Lattice φ⁴ and a 1D Model of Spontaneous Stochasticity (poster)
  WE Heraeus Physics School on The Non-Perturbative FRG and its Applications, Les Houches (April 2026)
• A FRG Approach to Spontaneous Stochasticity (poster)
  Statphys Conference, Florence (July 2025)
• A FRG Approach to Spontaneous Stochasticity (poster)
  SIAM Conference, Johns Hopkins University (April 2025)
• A FRG Approach to Spontaneous Stochasticity (oral)
  PhD Student Seminar, Johns Hopkins University (April 2025)
• Economic Models with Prospect Theory (poster)
  Joint Math Meetings (April 2022)
• Anomaly Detection in Sparsely Sampled Traffic Data (presentation)
  UCLA REU (August 2021)