Yi Zhu's Publications

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List of Publications

Preprints

  1. An Actor-Critic Framework for Continuous-Time Jump-Diffusion Controls with Normalizing Flows (with L. Guo, R. Hu and X. Yang), arXiv:2604.05398

  2. Zero-energy Edge States of Tight-Binding Models for Generalized Honeycomb-Structured Materials (with B. Miao), arXiv:2504.09565

  3. A thermodynamics-based turbulence model for isothermal compressible flows (with Z. Ma and W.-A. Yong) arXiv:2504.18755

  4. Pseudo-magnetic Fields and Effective Dynamics in Strained Honeycomb Structures (with C. Zhang and B. Miao) arXiv: 2511.15152

  5. Identification of hydrodynamic instability by convolutional neural networks (with W. Yang, L. Peng and L. Hong), arXiv:2006.01446

  6. A rigorous derivation of multicomponent diffusion laws (with Z. Yang and W.-A. Yong), arXiv:1502.03516

  7. Generalized hydrodynamics and the classical hydrodynamic limit (with Z. Yang and W.-A. Yong), arXiv: 1809.01611

Published

  1. Weak Collocation Networks: a deep learning approach to reconstruct stochastic dynamics from aggregate data (with Z. Chen, Z. Zeng and P. Hu), Commun. Nonlinear Sci. Numer. Simul., 152 (2026) 109360

  2. STWCR: Weak collocation regression for revealing hidden stochastic dynamics from single trajectory data (with Y. Jiang, Z. Zeng, W. Yang, L. Hong and P. Hu), Appl. Math. Comput. , 52 (2026), 129958

  3. Reconstruction of dynamical systems from data witout time labels (with Z. Zeng, P. Hu, C. Bao and Z. Shi), Commun. Comput. Phys. , 39 (2026) 941-968

  4. Potential Score Matching: Debiasing Molecular Structure Sampling with Potential Energy Guidance (with L Guo, Z Wang, C Liu, J Li, P Hu), Transactions on Machine Learning Research 2025

  5. Existence of three-fold Weyl points in generic admissible potentials (with Y. Cao, H. Guo and Z. Ye) J. Math. Phys. , 66 (2025),081505

  6. Multi-Agent Relative Investment Games in a Jump Diffusion Market with Deep Reinforcement Learning Algorithm (with L. Lu, R. Hu and X. Yang) SIAM J. Financial Math. , 16 (2025), 707--746

  7. Gap solitons and vortices in two-dimensional spin-orbit-coupled Bose-Einstein condensates loaded onto moiré optical lattices （with L. Wang, Z. Yan and J. Zeng） Quantum Frontiers , 4 (2025), 9

  8. Weak Collocation Regression for Inferring Stochastic Dynamics with Levy Noise (with L. Guo, L. Lu, Z. Zeng and P. Hu), Commun. Comput. Phys. , 37 (2025), 1277-1304

  9. Edge states in super honeycomb structures with PT symmetric deformations (with Y. Cao), SIAM Math. Anal. , 57 (2025), 2384--2415

  10. Dissipative gap solitons and vortices in moiré optical lattices (with L. Wang, Z. Yan, and J. Zeng), National Science Open , 3 (2024), 20240011

  11. Temporal Difference Learning for High-Dimensional PIDEs with Jumps (with L. Lu, H. Guo and X. Yang), SIAM J. Sci. Comput. , 46 (2024), C349-C368

  12. Fundamental and dipole gap solitons and their dynamics in the cubic–quintic fractional nonlinear Schrödinger model with a PT-symmetric lattice （with L. Wang and J. Zeng）, Physica D , 465（2024）, 134144

  13. Generalized Honeycomb-Structred Materials in the Subwavelength Regime (with B. Miao), SIAM J. Appl. Math. , 84 (2024), 1116-1139

  14. Weak Collocation Regression method: fast reveal hidden stochastic dynamics from high-dimensional aggregate data (with L. Lu, Z. Zeng, Y. Jian and P. Hu), J. Comp. Phys., 502 (2024), 112799

  15. Entropy structure informed learning for solving inverse problems of differential equations (with Y. Jiang, W. Yang and L. Hong), Chaos, Solitons & Fractals, 175 (2023), 114057

  16. Double Dirac Cones in Band Structures of Periodic Schroedinger Operators (with Y. Cao), (SIAM) Multiscale. Model. Simul., 21 (2023), 1147--1169

  17. Traveling edge states in massive Dirac equations along slowly varying edges (with P. Hu and P. Xie), IMA J. Appl. Math., 88 (2023), 455–471

  18. Integrable nonlocal derivative nonlinear Schrödinger equations (with M. Ablowitz, X. Luo and Z. Musslimani), Inverse Problems, 38 (2022), 065003

  19. Three-fold Weyl points in the Schrödinger operator with periodic potentials (with H. Guo and M. Zhang), SIAM Math. Anal., 54 (2022), 3654-3695

  20. Revealing hidden dynamics from time-series data by ODENet (with P. Hu, W. Yang, L. Hong), J. Comp. Phys., 465(2022), 111203

  21. Unfitted Nitsche’s method for computing wave modes in topological materials (with H. Guo and X. Yang), J. Sci. Comput., 88 (2021), 24

  22. Wave packets in the fractional nonlinear Schrödinger equation with a honeycomb potential (with P. Xie), (SIAM) Multiscale. Model. Simul., 19 (2021), 951-979

  23. Unfitted Nitsche's method for computing band structures in phononic crystals with impurities (with H. Guo and X. Yang), Comput. Methods Appl. Mech. Engrg. 380 (2021) 113743

  24. When machine learning meets multiscale modeling in chemical reactions (with W. Yang, L. Peng and L. Hong), J. Chem. Phys. 153 (2020), 094117 ; Featured & Cover Article

  25. Linear and nonlinear wave dynamics in modulated honeycomb media (with P. Hu and L. Hong), Stud. Appl. Math. 144 (2020), 18-45

  26. Wave-packet dynamics in slowly modulated photonic graphene (with P. Xie), J. Differential Equations 267 (2019), 5775-5808

  27. Elliptic operators with honeycomb symmetry: Dirac points, edge states and applications to photonic graphene (with J. P. Lee-Thorp and M. I. Weinstein), Arch. Rational Mech. Anal. 232 (2019), 1-63

  28. Bloch theory-based gradient recovery method for computation of edge mode in photonic graphene (with H. Guo and X. Yang), J. Comp. Phys. 379 (2019), 403-420

  29. Generalized Onsager's reciprocal relations for the master and Fokker-Planck equations (with L. Peng and L. Hong), Phys. Rev. E 97 (2018), 062123

  30. The Markov process admits a consistent steady-state thermodynamic formalism (with L. Peng and L. Hong), J. Math. Phys. 59 (2018), 013302

  31. Local bifurcation of electro-hydrodynamic waves on a conducting fluid (with Z. Lin and Z. Wang), Phys. Fluids 29 (2017), 032107

  32. Transport properties in the photonic super-honeycomb lattice a hybrid fermionic and bosonic system (with H. Zhong, Y. Zhang, et al), Ann. Phys. 529 (2017), 1600258

  33. Novel dissipative properties of the master equation (with L. Hong, J. Chen and W.-A. Yong), J. Math. Phys. 57 (2016), 103303

  34. PT symmetry in a fractional Schrodinger equation (with Y. Zhang, H. Zhong, M. R. Belic et al), Laser Photon. Rev. 10 (2016), 526-531

  35. A novel construction of thermodynamically compatible models and its correspondence with Boltzmann-equation-based moment-closure hierarchies (with L. Hong, Z. Yang and W.-A. Yong), J. Non-Equil. Thermodynamics 40 (2015), 247-256

  36. Conservation-dissipation formalism for non-equilibrium thermodynamics (with L. Hong, Z. Yang and W.-A. Yong), J. Non-Equil. Thermodynamics 40 (2015), 67-74

  37. Dynamics in PT-symmetric honeycomb lattices with nonlinearity (with C. W. Curtis), Stud. Appl. Math. 135 (2015), 139-170 Highlight of the Journal in 2015

  38. Unveiling pseudo-spin and angular momentum in photonic graphene (with D. Song, V. Paltoglou et al), Nat. Commun. 6 (2015), 6272

  39. Direct observation of pseudospin-mediated vortex generation in photonic graphene (D. Song,L. Tang, S. Liu, et al), CLEO:EELS Fundamental Science , 2014

  40. Nonlinear wave packets in deformed honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl. Math. 73 (2013), 1959-1979

  41. Nonlinear Dynamics of Bloch Wave Packets in Honeycomb Lattices (with M. J. Ablowitz), in book "Spontaneous Symmetry Breaking, Self-Trapping, and Josephson Oscillations" Progress in Optical Science and Photonics 1(2013), 1-26

  42. Localized nonlinear edge states in honeycomb lattices (with M. J. Ablowitz and C. W. Curtis), Phys. Rev. A 88 (2013), 13850.

  43. Unified orbital description of the envelope dynamics in two-dimensional simple periodic lattices (with M. J. Ablowitz), Stud. Appl. Math. 131 (2013),41-71

  44. Nonlinear dynamics of wave packets in parity-time-symmetric optical lattices near the phase transition point (with S.D. Nixon and J. Yang), Opt. Lett. 37 (2012),4874-4876

  45. On Tight Binding Approximations in Optical lattice (with M. J. Ablowitz and C. W. Curtis), Stud. Appl. Math. 129 (2012),362-388

  46. Nonlinear waves in shallow honeycomb lattices (with M. J. Ablowitz), SIAM J. Appl. Math. 72 (2012) 240-260

  47. Scalable Misbehavior Detection in Online Video Chat Services (with X. Xing, Y. Liang, et al), Proceedings of the 18th ACM SIGKDD international conference on Knowledge discovery and data mining 2012, 552-560

  48. Nonlinear diffraction in photonic graphene (with M. J. Ablowitz), Opt. Lett. 36 (2011),762-3764

  49. Nonlinear wave dynamics: from lasers to fluids (with M. J. Ablowitz, T. S. Haut, T. P.Horikis and S. D. Nixon), Discrete Contin. Dyn. Syst. S 4 (2011), 923 - 955

  50. Evolution of Bloch-mode envelopes in two-dimensional generalized honeycomb lattices (with M. J. Ablowitz), Phys. Rev. A 82 (2010), 013840

  51. Conical diffraction in honeycomb lattices (with M.J. Ablowitz and S. D. Nixon), Phys.Rev. A 79(2009), 053830 One figure appears in the Kaleidoscope May 2009 of the journal

  52. Asymptotic analysis of pulse dynamics in mode-locked lasers (with M. J. Ablowitz, T. P. Horikis and S. D. Nixon), Stud. Appl. Math. 122 (2009), 411-425

  53. Separatrix map analysis for fractal scatterings in weak solitary wave interactions (with J.Yang and R. Haberman), Stud. Appl. Math. 122 (2009), 449-483

  54. A universal separatrix map for weak interactions of solitary waves in generalized nonlinear Schrödinger equations (with J. Yang and R. Haberman), Physica D 237 (2008), 2411-2422

  55. Universal map for fractal structures in weak interactions of solitary waves (with J. Yang and R. Haberman), Phys. Rev. Lett. 100 (2008), 143901

  56. Universal fractal structures in the weak interaction of solitary waves in generalized nonlinear Schrödinger equations (with J. Yang), Phys. Rev. E 75 (2007), 036605