Kan: Kolmogorov-arnold networks Z Liu, Y Wang, S Vaidya, F Ruehle, J Halverson, M Soljačić, TY Hou, ... arXiv preprint arXiv:2404.19756, 2024 | 677 | 2024 |
Kan 2.0: Kolmogorov-arnold networks meet science Z Liu, P Ma, Y Wang, W Matusik, M Tegmark arXiv preprint arXiv:2408.10205, 2024 | 49 | 2024 |
Exponentially Convergent Multiscale Methods for 2D High Frequency Heterogeneous Helmholtz Equations Y Chen, T Y. Hou, Y Wang Multiscale Modeling & Simulation 21 (3), 849-883, 2023 | 23 | 2023 |
Exponential Convergence for Multiscale Linear Elliptic PDEs via Adaptive Edge Basis Functions Y Chen, T Y. Hou, Y Wang Multiscale Modeling & Simulation 19 (2), 980–1010, 2021 | 21 | 2021 |
Fourier continuation for exact derivative computation in physics-informed neural operators H Maust, Z Li, Y Wang, D Leibovici, O Bruno, T Hou, A Anandkumar arXiv preprint arXiv:2211.15960, 2022 | 14 | 2022 |
Second Order Ensemble Langevin Method for Sampling and Inverse Problems Z Liu, A Stuart, Y Wang arXiv preprint arXiv:2208.04506, 2022 | 10 | 2022 |
Schrödinger principal-component analysis: On the duality between principal-component analysis and the Schrödinger equation Z Liu, S Qian, Y Wang, Y Yan, T Yang Physical Review E 104, 025307, 2021 | 8* | 2021 |
On the expressiveness and spectral bias of KANs Y Wang, JW Siegel, Z Liu, TY Hou arXiv preprint arXiv:2410.01803, 2024 | 6 | 2024 |
Exponentially convergent multiscale finite element method Y Chen, TY Hou, Y Wang Communications on Applied Mathematics and Computation 6 (2), 862-878, 2024 | 5 | 2024 |
Approximation to Singular Quadratic Collision Model in Fokker--Planck--Landau Equation R Li, Y Wang, Y Wang SIAM Journal on Scientific Computing 42 (3), B792-B815, 2020 | 5 | 2020 |
Blowup analysis for a quasi-exact 1D model of 3D Euler and Navier–Stokes TY Hou, Y Wang Nonlinearity 37 (3), 035001, 2024 | 4 | 2024 |
-based stability of blowup with log correction for semilinear heat equation TY Hou, VT Nguyen, Y Wang arXiv preprint arXiv:2404.09410, 2024 | 1 | 2024 |
On the stability of blowup solutions to the complex Ginzburg-Landau equation in R^ d J Chen, TY Hou, VT Nguyen, Y Wang arXiv preprint arXiv:2407.15812, 2024 | | 2024 |