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07/07/2023
PAC bounds of continuous Linear Parameter-Varying systems related to neural ODEs
We consider the problem of learning Neural Ordinary Differential Equatio...
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03/29/2023
PAC-Bayesian bounds for learning LTI-ss systems with input from empirical loss
In this paper we derive a Probably Approxilmately Correct(PAC)-Bayesian ...
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12/30/2022
PAC-Bayesian-Like Error Bound for a Class of Linear Time-Invariant Stochastic State-Space Models
In this paper we derive a PAC-Bayesian-Like error bound for a class of s...
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06/16/2022
Noisy Learning for Neural ODEs Acts as a Robustness Locus Widening
We investigate the problems and challenges of evaluating the robustness ...
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05/24/2022
Realization Theory Of Recurrent Neural ODEs Using Polynomial System Embeddings
In this paper we show that neural ODE analogs of recurrent (ODE-RNN) and...
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09/06/2021
Optimal Prediction of Unmeasured Output from Measurable Outputs In LTI Systems
In this short article, we showcase the derivation of an optimal predicto...
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04/21/2021
Reduced-order modeling of LPV systems in the Loewner framework
We propose a model reduction method for LPV systems. We consider LPV sta...
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03/23/2021
PAC-Bayesian theory for stochastic LTI systems
In this paper we derive a PAC-Bayesian error bound for autonomous stocha...
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12/06/2019