Mamikon A. Gulian

Publication Activity (10 Years)

Years Active: 2018-2022
Publications (10 Years): 14

Top Topics

Differential Equations

Diffusion Model

Top Venues

AAAI Spring Symposium: MLPS

J. Comput. Phys.

Publications

Ravi G. Patel, Indu Manickam, Myoungkyu Lee, Mamikon A. Gulian
Error-in-variables modelling for operator learning. CoRR (2022)
Ravi G. Patel, Indu Manickam, Myoungkyu Lee, Mamikon A. Gulian
Error-in-variables modelling for operator learning. MSML (2022)
Marta D'Elia, Mamikon A. Gulian
Analysis of Anisotropic Nonlocal Diffusion Models: Well-posedness of Fractional Problems for Anomalous Transport. CoRR (2021)
Kookjin Lee, Nathaniel A. Trask, Ravi G. Patel, Mamikon A. Gulian, Eric C. Cyr
Partition of unity networks: deep hp-approximation. CoRR (2021)
Nathaniel Trask, Mamikon A. Gulian, Andy Huang, Kookjin Lee
Probabilistic partition of unity networks: clustering based deep approximation. CoRR (2021)
Ravi G. Patel, Nathaniel Trask, Mamikon A. Gulian, Eric C. Cyr
A Block Coordinate Descent Optimizer for Classification Problems Exploiting Convexity. AAAI Spring Symposium: MLPS (2021)
Kookjin Lee, Nathaniel Trask, Ravi G. Patel, Mamikon A. Gulian, Eric C. Cyr
Partition of Unity Networks: Deep HP-Approximation. AAAI Spring Symposium: MLPS (2021)
Eric C. Cyr, Mamikon A. Gulian, Ravi G. Patel, Mauro Perego, Nathaniel A. Trask
Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint. MSML (2020)
Ravi G. Patel, Nathaniel A. Trask, Mamikon A. Gulian, Eric C. Cyr
A block coordinate descent optimizer for classification problems exploiting convexity. CoRR (2020)
Huaiqian You, Yue Yu, Nathaniel Trask, Mamikon A. Gulian, Marta D'Elia
Data-driven learning of robust nonlocal physics from high-fidelity synthetic data. CoRR (2020)
Anna Lischke, Guofei Pang, Mamikon A. Gulian, Fangying Song, Christian A. Glusa, Xiaoning Zheng, Zhiping Mao, Wei Cai, Mark M. Meerschaert, Mark Ainsworth, George Em Karniadakis
What is the fractional Laplacian? A comparative review with new results. J. Comput. Phys. 404 (2020)
Mamikon A. Gulian, Maziar Raissi, Paris Perdikaris, George E. Karniadakis
Machine Learning of Space-Fractional Differential Equations. SIAM J. Sci. Comput. 41 (4) (2019)
Eric C. Cyr, Mamikon A. Gulian, Ravi G. Patel, Mauro Perego, Nathaniel A. Trask
Robust Training and Initialization of Deep Neural Networks: An Adaptive Basis Viewpoint. CoRR (2019)
Mamikon A. Gulian, Maziar Raissi, Paris Perdikaris, George E. Karniadakis
Machine Learning of Space-Fractional Differential Equations. CoRR (2018)