Tao Luo
Results
Journal Article
MOD-Net: A Machine Learning Approach via Model-Operator-Data Network for Solving PDEs
Communications in Computational Physics, Vol. 32 (2022), Iss. 2 : pp. 299–335
Journal Article
Frequency Principle: Fourier Analysis Sheds Light on Deep Neural Networks
Communications in Computational Physics, Vol. 28 (2020), Iss. 5 : pp. 1746–1767
Journal Article
Existence, Uniqueness and Energy Scaling of (2+1)-Dimensional Continuum Model for Stepped Epitaxial Surfaces with Elastic Effects
CSIAM Transactions on Applied Mathematics, Vol. 4 (2023), Iss. 3 : pp. 419–450
Journal Article
Towards an Understanding of Residual Networks Using Neural Tangent Hierarchy (NTH)
CSIAM Transactions on Applied Mathematics, Vol. 3 (2022), Iss. 4 : pp. 692–760
Journal Article
Theory of the Frequency Principle for General Deep Neural Networks
CSIAM Transactions on Applied Mathematics, Vol. 2 (2021), Iss. 3 : pp. 484–507
Journal Article
Embedding Principle: A Hierarchical Structure of Loss Landscape of Deep Neural Networks
Journal of Machine Learning, Vol. 1 (2022), Iss. 1 : pp. 60–113
Journal Article
Embedding Principle in Depth for the Loss Landscape Analysis of Deep Neural Networks
CSIAM Transactions on Applied Mathematics, Vol. 5 (2024), Iss. 2 : pp. 350–389
Journal Article
Phase Diagram of Initial Condensation for Two-Layer Neural Networks
CSIAM Transactions on Applied Mathematics, Vol. 5 (2024), Iss. 3 : pp. 448–514