Search Results for author: Frederik Baymler Mathiesen

Found 4 papers, 1 papers with code

IntervalMDP.jl: Accelerated Value Iteration for Interval Markov Decision Processes

no code implementations8 Jan 2024 Frederik Baymler Mathiesen, Morteza Lahijanian, Luca Laurenti

In this paper, we present IntervalMDP. jl, a Julia package for probabilistic analysis of interval Markov Decision Processes (IMDPs).

Simultaneous Synthesis and Verification of Neural Control Barrier Functions through Branch-and-Bound Verification-in-the-loop Training

no code implementations17 Nov 2023 Xinyu Wang, Luzia Knoedler, Frederik Baymler Mathiesen, Javier Alonso-Mora

In this work, we leverage bound propagation techniques and the Branch-and-Bound scheme to efficiently verify that a neural network satisfies the conditions to be a CBF over the continuous state space.

Inner approximations of stochastic programs for data-driven stochastic barrier function design

no code implementations10 Apr 2023 Frederik Baymler Mathiesen, Licio Romao, Simeon C. Calvert, Alessandro Abate, Luca Laurenti

In particular, we show that the stochastic program to synthesize a SBF can be relaxed into a chance-constrained optimisation problem on which scenario approach theory applies.

Safety Certification for Stochastic Systems via Neural Barrier Functions

1 code implementation3 Jun 2022 Frederik Baymler Mathiesen, Simeon Calvert, Luca Laurenti

In this paper, we parameterize a barrier function as a neural network and show that techniques for robust training of neural networks can be successfully employed to find neural barrier functions.

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