Learning a zonotope and more: Cryptanalysis of NTRUSign countermeasures

L Ducas, PQ Nguyen - International Conference on the Theory and …, 2012 - Springer
zonotope is the Minkowski sum of finitely many segments. Here, we use centered zonotopes:
the zonotope … We need to study this function when D is the zonotope distribution D = DZ(V ) …

A logical product approach to zonotope intersection

K Ghorbal, E Goubault, S Putot - International Conference on Computer …, 2010 - Springer
… here, a logical product of zonotopes with intervals, in its … sets as the combination of zonotopes
with polyhedric domains and … product of zonotopes with other classical abstract domains. …

[HTML][HTML] Robust identification and fault diagnosis based on uncertain multiple input–multiple output linear parameter varying parity equations and zonotopes

J Blesa, V Puig, J Saludes - Journal of Process Control, 2012 - Elsevier
… uncertainty bounded by a zonotope is propagated to the residuals, thereby determining
alarm limits bounded also by a zonotope. When a residual is outside this zonotope, it is argued …

Volume inequalities for Orlicz zonotopes

G Wang, G Leng, Q Huang - Journal of Mathematical Analysis and …, 2012 - Elsevier
… In this paper, we define the Orlicz zonotopes Zφ. Using the notion of shadow systems, we
give a sharp upper estimate for the volume of Zφ and a sharp lower estimate for the volume …

Identification for passive robust fault detection using zonotope‐based set‐membership approaches

J Blesa, V Puig, J Saludes - International Journal of Adaptive …, 2011 - Wiley Online Library
In this paper, the problem of identification for passive robust fault detection, when a
bounded description of the modelling uncertainty is considered, is addressed. Two set‐membership …

Zonotopes and the LP-Newton method

S Fujishige, T Hayashi, K Yamashita… - Optimization and …, 2009 - Springer
… Linear programming problems can be formulated in terms of a zonotope, a kind of greedy …
for linear programming that is based on the zonotope formulation and the minimum-norm-point …

Robust fault detection for LPV systems using interval observers and zonotopes

F Nejjari, V Puig, SM de Oca… - Proceedings of the 48h …, 2009 - ieeexplore.ieee.org
… Their effect is addressed using an interval state observation method based on zonotope
zonotopes are used to bound the set of uncertain estimated sets. Let us introduce zonotopes

Leak detection, isolation and estimation in pressurized water pipe networks using LPV models and zonotopes

J Blesa, V Puig, J Saludes, J Vento - IFAC Proceedings Volumes, 2010 - Elsevier
In this paper, a leak detection, isolation and estimation methodology in pressurized water
pipe networks is proposed. The methodology is based on computing residuals which are …

Goffin's algorithm for zonotopes

M Černý - Kybernetika, 2012 - eudml.org
top The Löwner-John ellipse of a full-dimensional bounded convex set is a circumscribed
ellipse with the property that if we shrink it by the factor n (where n is dimension), we obtain an …

An accurate join for zonotopes, preserving affine input/output relations

E Goubault, T Le Gall, S Putot - Electronic Notes in Theoretical Computer …, 2012 - Elsevier
… central zonotope, γ(Cx ) and of a perturbation zonotope centered on 0, γ(Px ). Central zonotopes
… Perturbation zonotopes depend on perturbation symbols ηj which are created along the …