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12/11/2022
Random Feature Models for Learning Interacting Dynamical Systems
Particle dynamics and multi-agent systems provide accurate dynamical mod...
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04/14/2022
Concentration of Random Feature Matrices in High-Dimensions
The spectra of random feature matrices provide essential information on ...
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04/12/2022
SRMD: Sparse Random Mode Decomposition
Signal decomposition and multiscale signal analysis provide many useful ...
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02/06/2022
HARFE: Hard-Ridge Random Feature Expansion
We propose a random feature model for approximating high-dimensional spa...
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12/07/2021
SHRIMP: Sparser Random Feature Models via Iterative Magnitude Pruning
Sparse shrunk additive models and sparse random feature models have been...
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10/21/2021
Conditioning of Random Feature Matrices: Double Descent and Generalization Error
We provide (high probability) bounds on the condition number of random f...
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03/04/2021
Function Approximation via Sparse Random Features
Random feature methods have been successful in various machine learning ...
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12/17/2020
Reduced Order Modeling using Shallow ReLU Networks with Grassmann Layers
This paper presents a nonlinear model reduction method for systems of eq...
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08/08/2019
NeuPDE: Neural Network Based Ordinary and Partial Differential Equations for Modeling Time-Dependent Data
We propose a neural network based approach for extracting models from dy...
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08/05/2019
Extending the step-size restriction for gradient descent to avoid strict saddle points
We provide larger step-size restrictions for which gradient descent base...
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11/25/2018
Recovery guarantees for polynomial approximation from dependent data with outliers
Learning non-linear systems from noisy, limited, and/or dependent data i...
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11/24/2018
Forward Stability of ResNet and Its Variants
The residual neural network (ResNet) is a popular deep network architect...
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05/16/2018
On the Convergence of the SINDy Algorithm
One way to understand time-series data is to identify the underlying dyn...
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05/10/2018