[HTML][HTML] Set-membership-based distributed moving horizon estimation of large-scale systems
This work is concerned with the design of a two-step distributed state estimation scheme for
large-scale systems in the presence of unknown-but-bounded disturbances and noise. The …
large-scale systems in the presence of unknown-but-bounded disturbances and noise. The …
[HTML][HTML] On extensions of the Loomis-Whitney inequality and Ball's inequality for concave, homogeneous measures
J Hosle - Advances in Applied Mathematics, 2020 - Elsevier
… For the proof of our theorem, we will recall the definition of a zonotope. A zonotope is simply
a Minkowski sum of line segments Z = ∑ i = 1 m [ − x i , x i ] . By linearity (1.3), if Z = ∑ i = 1 …
a Minkowski sum of line segments Z = ∑ i = 1 m [ − x i , x i ] . By linearity (1.3), if Z = ∑ i = 1 …
GLIR: A Practical Global-local Integrated Reactive Planner towards Safe Human-Robot Collaboration
M El-Shamouty, J Titze, S Kortik, W Kraus… - Center for Cyber … - ieeexplore.ieee.org
… ARMTD [19] approximates ˆRs using zonotopes and integrates them into trajectory … It must
be noted that ARMTD can also accept octrees if zonotopes over-approximate octrees [19]. Neo…
be noted that ARMTD can also accept octrees if zonotopes over-approximate octrees [19]. Neo…
Concrete polytopes may not tile the space
… that in R 3 all such polytopes must be zonotopes (polytopes with centrally symmetric faces of
all … In particular, all lattice zonotopes multitile the space [12], and they are concrete because …
all … In particular, all lattice zonotopes multitile the space [12], and they are concrete because …
[PDF][PDF] Certified Deep Learning: Verification and Training
M Mirman - 2022 - research-collection.ethz.ch
… AI2 first creates an abstract element A1 capturing all perturbed images (Here, we use a 2-bounded
set of zonotopes). It then propagates A1 through the abstract transformer of each layer…
set of zonotopes). It then propagates A1 through the abstract transformer of each layer…
Novel techniques for a verified simulation of fractional-order differential equations
… In general, verified simulation techniques rely on interval methods, zonotopes, or Taylor
model arithmetic and allow for computing guaranteed outer enclosures of the sets of solutions. …
model arithmetic and allow for computing guaranteed outer enclosures of the sets of solutions. …
[HTML][HTML] The equivariant volumes of the permutahedron
F Ardila, A Schindler, AR Vindas-Meléndez - Discrete & Computational …, 2021 - Springer
… To compute the volume of the fixed polytope \(\Pi _n^\sigma \) we will use its description as
a zonotope, recalling that a zonotope can be tiled by parallelotopes as follows. If A is a set of …
a zonotope, recalling that a zonotope can be tiled by parallelotopes as follows. If A is a set of …
Guaranteed SLAM-A pure interval approach
This paper presents a new Simultaneous Localisation And Mapping (SLAM) method which
takes into account all measurements provided by a 2D LiDAR sensor and generates a …
takes into account all measurements provided by a 2D LiDAR sensor and generates a …
Safety verification and robustness analysis of neural networks via quadratic constraints and semidefinite programming
… We can adapt the result of Proposition 1 to other sets such as polytopes, zonotopes, and
ellipsoids, as outlined below. The derivation of the corresponding QCs can be found in …
ellipsoids, as outlined below. The derivation of the corresponding QCs can be found in …
[HTML][HTML] Impact of energy communities on the European electricity and heating system decarbonization pathway: Comparing local and global flexibility responses
This paper investigates how the European electricity and heating system is impacted when
medium-scale energy communities (ECs) are developed widely across Europe. We study the …
medium-scale energy communities (ECs) are developed widely across Europe. We study the …