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01/19/2023
An SDE for Modeling SAM: Theory and Insights
We study the SAM (Sharpness-Aware Minimization) optimizer which has rece...
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09/19/2022
On the Theoretical Properties of Noise Correlation in Stochastic Optimization
Studying the properties of stochastic noise to optimize complex non-conv...
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06/09/2022
Explicit Regularization in Overparametrized Models via Noise Injection
Injecting noise within gradient descent has several desirable features. ...
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02/06/2022
Anticorrelated Noise Injection for Improved Generalization
Injecting artificial noise into gradient descent (GD) is commonly employ...
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07/17/2020
A Fourier State Space Model for Bayesian ODE Filters
Gaussian ODE filtering is a probabilistic numerical method to solve ordi...
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02/21/2020
Differentiable Likelihoods for Fast Inversion of 'Likelihood-Free' Dynamical Systems
Likelihood-free (a.k.a. simulation-based) inference problems are inverse...
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10/08/2018
Probabilistic Solutions To Ordinary Differential Equations As Non-Linear Bayesian Filtering: A New Perspective
We formulate probabilistic numerical approximations to solutions of ordi...
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07/25/2018
Convergence Rates of Gaussian ODE Filters
A recently-introduced class of probabilistic (uncertainty-aware) solvers...
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09/25/2017
Bayesian Filtering for ODEs with Bounded Derivatives
Recently there has been increasing interest in probabilistic solvers for...
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05/11/2016