Publications related to Locally convex topological vector space

Extended Formulations for Packing and Partitioning Orbitopes

We give compact extended formulations for the packing and partitioning orbitopes (with respect to the full symmetric group) described and analyzed in Kaibel and Pfetsch [Kaibel, V., M. E. Pfetsch. 2008. Packing and partitioning orbitopes. Math. Programming ...

2009

On Large Deviation Regimes For Random Media Models

Thomas Mountford, Damien Gauthier, Michael Cranston

The focus of this article is on the different behavior of large deviations of random subadditive functionals above the mean versus large deviations below the mean in two random media models. We consider the point-to-point first passage percolation time a(n ...

2009

Constrained Minkowski Sums: A Geometric Framework for Solving Interval Problems in Computational Biology Efficiently

Friedrich Eisenbrand

In this paper, we introduce the notion of a constrained Minkowski sum: for two (finite) point-sets P, Q subset of R-2 and a set of k inequalities Ax >= b, it is defined as the point-set (P circle plus Q)(Ax >= b) = {x = p + q vertical bar p is an element o ...

Springer-Verlag2009

Magnebike: A Magnetic Wheeled Robot with High Mobility for Inspecting Complex-Shaped Structures

Roland Siegwart, Francesco Mondada, Fabien Tâche, Gilles Caprari, Roland Moser

This paper describes the Magnebike robot, a compact robot with two magnetic wheels in a motorbike arrangement, which is intended for inspecting the inner casing of ferromagnetic pipes with complex-shaped structures. The locomotion concept is based on an ad ...

2009

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Bernard Dacorogna

Any finite, separately convex, positively homogeneous function on

\mathbb{R}^2

is convex. This was first established by the first author ["Direct methods in calculus of variations", Springer-Verlag (1989)]. Here we give a new and concise proof of this re ...

2008

Points surrounding the origin

János Pach, Andreas Fukami Holmsen

Suppose d > 2, n > d+1, and we have a set P of n points in d-dimensional Euclidean space. Then P contains a subset Q of d points such that for any p ∈ P, the convex hull of Q∪{p} does not contain the origin in its interior. We also show that for non-emp ...

2008

Characterization of equilibrium measures for critical reversible Nearest Particle Systems

We show that for critical reversible attractive Nearest Particle Systems all equilibrium measures are convex combinations of the upper invariant equilibrium measure and the point mass at all zeros, provided the underlying renewal sequence possesses moments ...

2008

Parametric B-Spline Snakes on Distance Maps—Application to Segmentation of Histology Images

Michaël Unser, Philippe Thévenaz, François Aguet, Chandra Sekhar Seelamantula

We construct parametric active contours (snakes) for outlining cells in histology images. These snakes are defined in terms of cubic B-spline basis functions. We use a steerable ridge detector for obtaining a reliable map of the cell boundaries. Using the ...

EURASIP2008

A Note on Natural Risk Statistics

Damir Filipovic, Gregor Svindland

Recently Heyde, Kou and Peng (2007) proposed the notion of a natural risk statistic associated with a finite sample that relaxes the subadditivity assumption in the classical coherent risk statistics. In this note we use convex analysis to provide alternat ...

Elsevier2008

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

Alireza Karimi, Roland Longchamp, Hamid Khatibi

Convex parameterization of fixed-order robust stabilizing controllers for systems with polytopic uncertainty is represented as an LMI using KYP Lemma. This parameterization is a convex inner-approximation of the whole non- convex set of stabilizing control ...

2008

Locally convex topological vector space

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Extended Formulations for Packing and Partitioning Orbitopes

On Large Deviation Regimes For Random Media Models

Constrained Minkowski Sums: A Geometric Framework for Solving Interval Problems in Computational Biology Efficiently

Magnebike: A Magnetic Wheeled Robot with High Mobility for Inspecting Complex-Shaped Structures

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Points surrounding the origin

Characterization of equilibrium measures for critical reversible Nearest Particle Systems

Parametric B-Spline Snakes on Distance Maps—Application to Segmentation of Histology Images

A Note on Natural Risk Statistics

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs

On Large Deviation Regimes For Random Media Models

The role of perspective functions in convexity, polyconvexity, rank-one convexity and separate convexity

Constrained Minkowski Sums: A Geometric Framework for Solving Interval Problems in Computational Biology Efficiently

Magnebike: A Magnetic Wheeled Robot with High Mobility for Inspecting Complex-Shaped Structures

Characterization of equilibrium measures for critical reversible Nearest Particle Systems

Parametric B-Spline Snakes on Distance Maps—Application to Segmentation of Histology Images

A Note on Natural Risk Statistics

Points surrounding the origin

Extended Formulations for Packing and Partitioning Orbitopes

Fixed-Order Controller Design for Systems with Polytopic Uncertainty Using LMIs