Search Results for author: Alex Devonport

Found 8 papers, 0 papers with code

Frequency-domain Gaussian Process Models for $H_\infty$ Uncertainties

no code implementations15 Dec 2023 Alex Devonport, Peter Seiler, Murat Arcak

We then establish how an $H_\infty$ Gaussian process can serve as a prior for Bayesian system identification and as a probabilistic uncertainty model for probabilistic robust control.

Gaussian Processes

Frequency Domain Gaussian Process Models for $H^\infty$ Uncertainties

no code implementations29 Nov 2022 Alex Devonport, Peter Seiler, Murat Arcak

Complex-valued Gaussian processes are used in Bayesian frequency-domain system identification as prior models for regression.

Gaussian Processes regression

Machine Learning for Smart and Energy-Efficient Buildings

no code implementations27 Nov 2022 Hari Prasanna Das, Yu-Wen Lin, Utkarsha Agwan, Lucas Spangher, Alex Devonport, Yu Yang, Jan Drgona, Adrian Chong, Stefano Schiavon, Costas J. Spanos

In this work, we review the ways in which machine learning has been leveraged to make buildings smart and energy-efficient.

Data-Driven Reachability analysis and Support set Estimation with Christoffel Functions

no code implementations18 Dec 2021 Alex Devonport, Forest Yang, Laurent El Ghaoui, Murat Arcak

In addition to applying classical Vapnik-Chervonenkis (VC) dimension bound arguments, we apply the PAC-Bayes theorem by leveraging a formal connection between kernelized empirical inverse Christoffel functions and Gaussian process regression models.

DaDRA: A Python Library for Data-Driven Reachability Analysis

no code implementations2 Nov 2021 Jared Mejia, Alex Devonport, Murat Arcak

Reachability analysis is used to determine all possible states that a system acting under uncertainty may reach.

Symbolic Abstractions From Data: A PAC Learning Approach

no code implementations28 Apr 2021 Alex Devonport, Adnane Saoud, Murat Arcak

Symbolic control techniques aim to satisfy complex logic specifications.

PAC learning

Data-Driven Reachability Analysis with Christoffel Functions

no code implementations28 Apr 2021 Alex Devonport, Forest Yang, Laurent El Ghaoui, Murat Arcak

We present an algorithm for data-driven reachability analysis that estimates finite-horizon forward reachable sets for general nonlinear systems using level sets of a certain class of polynomials known as Christoffel functions.

Estimating Reachable Sets with Scenario Optimization

no code implementations L4DC 2020 Alex Devonport, Murat Arcak

Many practical systems are not amenable to the reachability methods that give guarantees of correctness, since they have dynamics that are strongly nonlinear, uncertain, and possibly unknown.

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