Yi Zhu's Publications

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Preprints

  1. UNIFUSION: Adapting Autoregressive Language Models into Discrete Diffusion under a Unified Reverse-Rate Objective (with X. Jiang, J. Li, Y. Jiang, W. Liu, Z. Shi and P. Hu) arXiv:2607.24507

  2. Mean-to-Score Discrete Diffusion: Posterior-Mean Denoisers for Score Entropy (with J. Li, X. Jiang, Y. Jiang, W. Liu, Z. Shi, P. Hu) arXiv:2607.21372

  3. OLEDLM: A Unified Language Model for OLED Molecular Design (with F. Wen, Y. Tang, J. Li, B. Wang, Y. Jiang, X. Jiang, Y. Liu, S. Wang, Z. Shi, Y. Zhu, P. Hu) arXiv:2607.20194

  4. A Tight-binding Approach for Computing Subwavelength Guided Modes in Crystals with Line Defects (with H. Ammari, E. Hiltunen, P Liu and B. Miao) arXiv:2512.05370

  5. A Jin--Xin Relaxation Gradual Convergence Method for Conservation-Law PINNs (with E. Lorin, Y. Tang and X. Yang) arXiv:2608.22493

  6. Deep-Picard Iteration for Space-time Fractional Diffusion PDEs (with Z. Zeng, Z. Chen and L. Qin) arXiv:2605.00456

  7. Neural Continuous-Time Markov Chain: Discrete Diffusion via Decoupled Jump Timing and Direction (with J. Li, X. Jiang, F. Wen, W. Liu, R. Luo, Z. Shi and P. Hu) arXiv:2604.15694

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

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

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

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

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

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

    14. Published

  14. Nonlinear Tension Effects on an Infinite Elastic Plate Loaded with a Linear Shear Current (with Y. Jiang, E. Parau and Z. Wang), SIAM J. Appl. Math., to appear

  15. Zero-energy Edge States of Tight-Binding Models for Generalized Honeycomb-Structured Materials (with B. Miao), Commun. Math. Phys., to appear

  16. 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

  17. 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

  18. 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

  19. 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

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

  21. 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

  22. 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

  23. 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

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

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

  26. 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

  27. 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

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

  29. 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

  30. 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

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

  32. 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

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

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

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

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

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

  38. 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

  39. 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

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

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

  42. 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

  43. 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

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

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

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

  47. 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

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

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

  50. 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

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

  52. 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

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

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

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

  56. 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

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

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

  59. 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

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

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

  62. 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

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

  64. 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

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

  66. 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

  67. 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

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

  69. 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

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

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