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05/21/2023
On the Identifiablility of Nonlocal Interaction Kernels in First-Order Systems of Interacting Particles on Riemannian Manifolds
In this paper, we tackle a critical issue in nonparametric inference for...
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12/01/2022
Learning Transition Operators From Sparse Space-Time Samples
We consider the nonlinear inverse problem of learning a transition opera...
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11/14/2022
An Interpretable Hybrid Predictive Model of COVID-19 Cases using Autoregressive Model and LSTM
The Coronavirus Disease 2019 (COVID-19) has posed a severe threat to glo...
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09/24/2022
Higher-Order Error estimates for physics-informed neural networks approximating the primitive equations
Large scale dynamics of the oceans and the atmosphere are governed by th...
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03/16/2022
Scalable marginalization of latent variables for correlated data
Marginalization of latent variables or nuisance parameters is a fundamen...
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09/28/2021
Robust recovery of bandlimited graph signals via randomized dynamical sampling
Heat diffusion processes have found wide applications in modelling dynam...
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06/04/2021
Data-driven discovery of interacting particle systems using Gaussian processes
Interacting particle or agent systems that display a rich variety of col...
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05/06/2021
Estimate the spectrum of affine dynamical systems from partial observations of a single trajectory data
In this paper, we study the nonlinear inverse problem of estimating the ...
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10/08/2020
Learning Theory for Inferring Interaction Kernels in Second-Order Interacting Agent Systems
Modeling the complex interactions of systems of particles or agents is a...
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07/30/2020
Learning interaction kernels in stochastic systems of interacting particles from multiple trajectories
We consider stochastic systems of interacting particles or agents, with ...
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12/27/2019
On the identifiability of interaction functions in systems of interacting particles
Identifiability is of fundamental importance in the statistical learning...
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10/10/2019
Learning interaction kernels in heterogeneous systems of agents from multiple trajectories
Systems of interacting particles or agents have wide applications in man...
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12/14/2018