Yi Zhu's Publications

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List of Publications

Preprints

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

  2. Reconstruction of dynamical systems from data witout time labels (with Z. Zeng, P. Hu, C. Bao and Z. Shi), arXiv: 2312.04038

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

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

  5. 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., to appear

  2. Reconstruction of dynamical systems from data witout time labels (with Z. Zeng, P. Hu, C. Bao and Z. Shi), Commun. Comput. Phys. , to appear

  3. 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

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

  5. 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

  6. 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

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

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

  9. 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

  10. 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

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

  12. 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

  13. 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

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

  15. 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

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

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

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

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

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

  21. 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

  22. 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

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

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

  25. 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

  26. 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

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

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

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

  30. 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

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

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

  33. 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

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

  35. 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

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

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

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

  39. 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

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

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

  42. 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

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

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

  45. 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

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

  47. 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

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

  49. 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

  50. 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

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

  52. 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

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

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