[ΒΙΒΛΙΟ][B] Randomized algorithms for analysis and control of uncertain systems: with applications

R Tempo, G Calafiore, F Dabbene - 2013 - Springer
The presence of uncertainty in a system description has always been a critical issue in
control. The main objective of Randomized Algorithms for Analysis and Control of Uncertain …

Randomized methods for design of uncertain systems: Sample complexity and sequential algorithms

T Alamo, R Tempo, A Luque, DR Ramirez - Automatica, 2015 - Elsevier
In this paper, we study randomized methods for feedback design of uncertain systems. The
first contribution is to derive the sample complexity of various constrained control problems …

Research on probabilistic methods for control system design

GC Calafiore, F Dabbene, R Tempo - Automatica, 2011 - Elsevier
A novel approach based on probability and randomization has emerged to synergize with
the standard deterministic methods for control of systems with uncertainty. The main …

volesti: Volume approximation and sampling for convex polytopes in r

A Chalkis, V Fisikopoulos - arxiv preprint arxiv:2007.01578, 2020 - arxiv.org
Sampling from high dimensional distributions and volume approximation of convex bodies
are fundamental operations that appear in optimization, finance, engineering, artificial …

A stochastic subspace approach to gradient-free optimization in high dimensions

D Kozak, S Becker, A Doostan, L Tenorio - … Optimization and Applications, 2021 - Springer
We present a stochastic descent algorithm for unconstrained optimization that is particularly
efficient when the objective function is slow to evaluate and gradients are not easily …

Sequential randomized algorithms for convex optimization in the presence of uncertainty

M Chamanbaz, F Dabbene, R Tempo… - … on Automatic Control, 2015 - ieeexplore.ieee.org
In this technical note, we propose new sequential randomized algorithms for convex
optimization problems in the presence of uncertainty. A rigorous analysis of the theoretical …

A flexible elicitation procedure for additive model scale constants

AT de Almeida-Filho, AT de Almeida… - Annals of Operations …, 2017 - Springer
This paper contributes to the process of eliciting additive model scale constants in order to
support choice problems, thereby reducing the effort a decision maker (DM) needs to make …

Stochastic subspace descent

D Kozak, S Becker, A Doostan, L Tenorio - arxiv preprint arxiv …, 2019 - arxiv.org
We present two stochastic descent algorithms that apply to unconstrained optimization and
are particularly efficient when the objective function is slow to evaluate and gradients are not …

Random sampling: Billiard walk algorithm

E Gryazina, B Polyak - European Journal of Operational Research, 2014 - Elsevier
Hit-and-Run is known to be one of the best random sampling algorithms, its mixing time is
polynomial in dimension. However in practice, the number of steps required to obtain …

Truncated log-concave sampling for convex bodies with Reflective Hamiltonian Monte Carlo

A Chalkis, V Fisikopoulos, M Papachristou… - ACM Transactions on …, 2023 - dl.acm.org
We introduce Reflective Hamiltonian Monte Carlo (ReHMC), an HMC-based algorithm to
sample from a log-concave distribution restricted to a convex body. The random walk is …