Search Results for author: Matthew Newton

Found 4 papers, 0 papers with code

Scalable Forward Reachability Analysis of Multi-Agent Systems with Neural Network Controllers

no code implementations7 Sep 2023 Oliver Gates, Matthew Newton, Konstantinos Gatsis

This paper addresses the problem of finding overapproximations of forward reachable sets for discrete-time uncertain multi-agent systems with distributed NNC architectures.

Rational Neural Network Controllers

no code implementations12 Jul 2023 Matthew Newton, Antonis Papachristodoulou

However, one prominent issue with these methods is that they use existing neural network architectures tailored for traditional machine learning tasks.

Stability of Non-linear Neural Feedback Loops using Sum of Squares

no code implementations8 Apr 2022 Matthew Newton, Antonis Papachristodoulou

These higher order Lyapunov functions are used in conjunction with higher order multipliers on the inequality and equality constraints that bound the neural network input-output properties.

Sparse Polynomial Optimisation for Neural Network Verification

no code implementations4 Feb 2022 Matthew Newton, Antonis Papachristodoulou

Depending on the complexity of these bounds, the computational time of the optimisation problem varies, with longer solve times often leading to tighter bounds.

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