Active subspace methods in theory and practice: applications to kriging surfaces
Many multivariate functions in engineering models vary primarily along a few directions in
the space of input parameters. When these directions correspond to coordinate directions …
the space of input parameters. When these directions correspond to coordinate directions …
[PDF][PDF] Reachability analysis and its application to the safety assessment of autonomous cars
M Althoff - 2010 - mediatum.ub.tum.de
One of the biggest boosts for innovation in engineering has been the ongoing improvement
of digital processor technology. Connections between physical systems and computing …
of digital processor technology. Connections between physical systems and computing …
[BOOK][B] Algebraic statistics for computational biology
L Pachter, B Sturmfels - 2005 - books.google.com
The quantitative analysis of biological sequence data is based on methods from statistics
coupled with efficient algorithms from computer science. Algebra provides a framework for …
coupled with efficient algorithms from computer science. Algebra provides a framework for …
Tropical geometry and machine learning
Tropical geometry is a relatively recent field in mathematics and computer science,
combining elements of algebraic geometry and polyhedral geometry. The scalar arithmetic …
combining elements of algebraic geometry and polyhedral geometry. The scalar arithmetic …
Input design for guaranteed fault diagnosis using zonotopes
An input design method is presented for guaranteeing the diagnosability of faults from the
outputs of a system. Faults are modeled by discrete switches between linear models with …
outputs of a system. Faults are modeled by discrete switches between linear models with …
Set operations and order reductions for constrained zonotopes
This paper presents methods for using zonotopes and constrained zonotopes to improve the
practicality of a wide variety of set-based operations commonly used in control theory. The …
practicality of a wide variety of set-based operations commonly used in control theory. The …
Closed-loop input design for guaranteed fault diagnosis using set-valued observers
Active fault diagnosis (AFD) can be used to improve the diagnosability of faults by injecting a
suitably designed input into a process. When faults are described as discrete switches …
suitably designed input into a process. When faults are described as discrete switches …
Zonotope bundles for the efficient computation of reachable sets
We introduce zonotope bundles for computing the set of states reachable by a dynamical
system, also known as the reachable set. Reachable set computations suffer from the curse …
system, also known as the reachable set. Reachable set computations suffer from the curse …
[BOOK][B] Zonotopes: From guaranteed state-estimation to control
This title focuses on two significant problems in the field of automatic control, in particular
state estimation and robust Model Predictive Control under input and state constraints …
state estimation and robust Model Predictive Control under input and state constraints …
Maximum lilkelihood estimation in the -model
Supplement to “Maximum lilkelihood estimation in the β-model”. In the supplementary
material we extend our analysis to other models for network data: the Rasch model, the β …
material we extend our analysis to other models for network data: the Rasch model, the β …