52 citations · 98 across the 37 of their papers we have counts for
7 papers · 1 filter
A Contracting Dynamical System Perspective toward Interval Markov Decision Processes
Saber Jafarpour, Samuel Coogan
Interval Markov decision processes are a class of Markov models where the transition probabilities between the states belong to intervals. In this paper, we study the problem of ef…
Forward Invariance in Neural Network Controlled Systems
Akash Harapanahalli, Saber Jafarpour, Samuel Coogan
We present a framework based on interval analysis and monotone systems theory to certify and search for forward invariant sets in nonlinear systems with neural network controllers.…
Efficient Interaction-Aware Interval Analysis of Neural Network Feedback Loops
Saber Jafarpour, Akash Harapanahalli, Samuel Coogan
In this paper, we propose a computationally efficient framework for interval reachability of systems with neural network controllers. Our approach leverages inclusion functions for…
A Toolbox for Fast Interval Arithmetic in numpy with an Application to Formal Verification of Neural Network Controlled Systems
Akash Harapanahalli, Saber Jafarpour, Samuel Coogan
In this paper, we present a toolbox for interval analysis in numpy, with an application to formal verification of neural network controlled systems. Using the notion of natural inc…
Contraction-Guided Adaptive Partitioning for Reachability Analysis of Neural Network Controlled Systems
Akash Harapanahalli, Saber Jafarpour, Samuel Coogan
In this paper, we present a contraction-guided adaptive partitioning algorithm for improving interval-valued robust reachable set estimates in a nonlinear feedback loop with a neur…
Non-Euclidean Monotone Operator Theory and Applications
Alexander Davydov, Saber Jafarpour, Anton V. Proskurnikov +1
While monotone operator theory is often studied on Hilbert spaces, many interesting problems in machine learning and optimization arise naturally in finite-dimensional vector space…
Interval Reachability of Nonlinear Dynamical Systems with Neural Network Controllers
Saber Jafarpour, Akash Harapanahalli, Samuel Coogan
This paper proposes a computationally efficient framework, based on interval analysis, for rigorous verification of nonlinear continuous-time dynamical systems with neural network…