Hayden Schaeffer

ORCID

Publication Activity (10 Years)

Years Active: 2013-2024
Publications (10 Years): 31

Top Venues

CoRR

MSML

Multiscale Model. Simul.

J. Math. Imaging Vis.

University of California, Los Angeles, USA (PHD)

Education History

University of California, Los Angeles, USA

PHD

Publications

Jingmin Sun, Yuxuan Liu, Zecheng Zhang, Hayden Schaeffer
Towards a Foundation Model for Partial Differential Equations: Multi-Operator Learning and Extrapolation. CoRR (2024)
Zecheng Zhang, Wing Tat Leung, Hayden Schaeffer
A discretization-invariant extension and analysis of some deep operator networks. CoRR (2023)
Zecheng Zhang, Christian Moya, Wing Tat Leung, Guang Lin, Hayden Schaeffer
Bayesian deep operator learning for homogenized to fine-scale maps for multiscale PDE. CoRR (2023)
Yuxuan Liu, Zecheng Zhang, Hayden Schaeffer
PROSE: Predicting Operators and Symbolic Expressions using Multimodal Transformers. CoRR (2023)
Zecheng Zhang, Christian Moya, Lu Lu, Guang Lin, Hayden Schaeffer
D2NO: Efficient Handling of Heterogeneous Input Function Spaces with Distributed Deep Neural Operators. CoRR (2023)
Zhijun Chen, Hayden Schaeffer, Rachel Ward
Concentration of Random Feature Matrices in High-Dimensions. MSML (2022)
Esha Saha, Hayden Schaeffer, Giang Tran
HARFE: Hard-Ridge Random Feature Expansion. CoRR (2022)
Zecheng Zhang, Wing Tat Leung, Hayden Schaeffer
BelNet: Basis enhanced learning, a mesh-free neural operator. CoRR (2022)
Yuege Xie, Robert Shi, Hayden Schaeffer, Rachel Ward
SHRIMP: Sparser Random Feature Models via Iterative Magnitude Pruning. MSML (2022)
Nicholas Richardson, Hayden Schaeffer, Giang Tran
SRMD: Sparse Random Mode Decomposition. CoRR (2022)
Yuxuan Liu, Scott G. McCalla, Hayden Schaeffer
Random Feature Models for Learning Interacting Dynamical Systems. CoRR (2022)
Zhijun Chen, Hayden Schaeffer, Rachel Ward
Concentration of Random Feature Matrices in High-Dimensions. CoRR (2022)
Kayla Bollinger, Hayden Schaeffer
Reduced Order Modeling using Shallow ReLU Networks with Grassmann Layers. MSML (2021)
Zhijun Chen, Hayden Schaeffer
Conditioning of Random Feature Matrices: Double Descent and Generalization Error. CoRR (2021)
Abolfazl Hashemi, Hayden Schaeffer, Robert Shi, Ufuk Topcu, Giang Tran, Rachel Ward
Function Approximation via Sparse Random Features. CoRR (2021)
Yuege Xie, Bobby Shi, Hayden Schaeffer, Rachel Ward
SHRIMP: Sparser Random Feature Models via Iterative Magnitude Pruning. CoRR (2021)
Yifan Sun, Linan Zhang, Hayden Schaeffer
NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data. MSML (2020)
Kayla Bollinger, Hayden Schaeffer
Reduced Order Modeling using Shallow ReLU Networks with Grassmann Layers. CoRR (2020)
Hayden Schaeffer, Scott G. McCalla
Extending the Step-Size Restriction for Gradient Descent to Avoid Strict Saddle Points. SIAM J. Math. Data Sci. 2 (4) (2020)
Lam Si Tung Ho, Hayden Schaeffer, Giang Tran, Rachel Ward
Recovery guarantees for polynomial coefficients from weakly dependent data with outliers. J. Approx. Theory 259 (2020)
Hayden Schaeffer, Giang Tran, Rachel Ward, Linan Zhang
Extracting Structured Dynamical Systems Using Sparse Optimization With Very Few Samples. Multiscale Model. Simul. 18 (4) (2020)
Linan Zhang, Hayden Schaeffer
Forward Stability of ResNet and Its Variants. J. Math. Imaging Vis. 62 (3) (2020)
Yifan Sun, Linan Zhang, Hayden Schaeffer
NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data. CoRR (2019)
Hayden Schaeffer, Scott G. McCalla
Extending the step-size restriction for gradient descent to avoid strict saddle points. CoRR (2019)
Linan Zhang, Hayden Schaeffer
On the Convergence of the SINDy Algorithm. Multiscale Model. Simul. 17 (3) (2019)
Hayden Schaeffer, Giang Tran, Rachel Ward
Extracting Sparse High-Dimensional Dynamics from Limited Data. SIAM J. Appl. Math. 78 (6) (2018)
Lam Si Tung Ho, Hayden Schaeffer, Giang Tran, Rachel Ward
Recovery guarantees for polynomial approximation from dependent data with outliers. CoRR (2018)
Hayden Schaeffer, Giang Tran, Rachel Ward, Linan Zhang
Extracting structured dynamical systems using sparse optimization with very few samples. CoRR (2018)
Linan Zhang, Hayden Schaeffer
On the Convergence of the SINDy Algorithm. CoRR (2018)
Linan Zhang, Hayden Schaeffer
Forward Stability of ResNet and Its Variants. CoRR (2018)
Hayden Schaeffer, Thomas Y. Hou
An Accelerated Method for Nonlinear Elliptic PDE. J. Sci. Comput. 69 (2) (2016)
Hayden Schaeffer, Yi Yang, Stanley J. Osher
Space-Time Regularization for Video Decompression. SIAM J. Imaging Sci. 8 (1) (2015)
Hayden Schaeffer, Yi Yang, Hongkai Zhao, Stanley J. Osher
Real-Time Adaptive Video Compression. SIAM J. Sci. Comput. 37 (6) (2015)
Giang Tran, Hayden Schaeffer, William M. Feldman, Stanley J. Osher
Penalty Method for General Obstacle Problems. SIAM J. Appl. Math. 75 (4) (2015)
Thomas Y. Hou, Qin Li, Hayden Schaeffer
Sparse + low-energy decomposition for viscous conservation laws. J. Comput. Phys. 288 (2015)
Alan Mackey, Hayden Schaeffer, Stanley J. Osher
On the Compressive Spectral Method. Multiscale Model. Simul. 12 (4) (2014)
Hayden Schaeffer, Luminita A. Vese
Variational Dynamics of Free Triple Junctions. J. Sci. Comput. 59 (2) (2014)
Hayden Schaeffer, Luminita A. Vese
Active Contours with Free Endpoints. J. Math. Imaging Vis. 49 (1) (2014)
Hayden Schaeffer, Stanley J. Osher
A Low Patch-Rank Interpretation of Texture. SIAM J. Imaging Sci. 6 (1) (2013)
Yi Yang, Hayden Schaeffer, Wotao Yin, Stanley J. Osher
Mixing space-time derivatives for video compressive sensing. ACSSC (2013)
Nóirín Duggan, Hayden Schaeffer, Carole Le Guyader, Edward Jones, Martin Glavin, Luminita A. Vese
Boundary detection in echocardiography using a Split Bregman edge detector and a topology preserving level set approach. ISBI (2013)

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Publication Activity (10 Years)

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Hayden Schaeffer