Prof. Dr. Margreta Kuijper (The University of Melbourne)
Linear System Detection and Correction of Adversarial Attacks abstract
Abstract:
This talk looks at linear systems under attack from an adversary. Such cyber attacks cause malfunctioning and damage and there is an increasing need for automated responses as part of the resilience of the system. I will explore several fundamental ideas around linear systems under attack, such as the notion of "system security index" as an analogon to the notion of "minimum distance" in error control coding. Perpetuating this coding theorist approach I will make a link with the behavioral system theory approach and show how this combination of approaches can be used for the purpose of attack detection and automated attack correction.
11:00 • Uni St. Gallen, 64-110
Yoshihito Kazashi (University of Strathclyde Glasgow)
Multigrid Monte Carlo Revisited: Theory and Bayesian Inference abstract
Abstract:
In this talk, I revisit the multigrid Monte Carlo (MGMC) method proposed by Goodman and Sokal [Goodman and Sokal, (1989) Multigrid Monte Carlo method. Conceptual foundations], a random sampler analogue of deterministic multigrid solvers. MGMC accelerates random samplers, such as Gibbs samplers, by drawing on insights from numerical analysis. The primary focus of this talk is to provide theoretical support. We discuss a grid-size-independent convergence theory for MGMC, applicable to general Gaussian random variables. This theory demonstrates that the first two moments, which fully characterize the Gaussian distribution, converge exponentially to their target values at a uniform rate. Additionally, we examine the exponential decay of autocorrelations in the generated samples. Furthermore, we extend the application of the MGMC method to address the important scenario of sampling posterior Gaussian distributions conditioned on noisy data. This is joint work with Eike Müller (Bath, UK) and Robert Scheichl (Heidelberg, Germany)
16:15 • EPF Lausanne, CM 1 517