Publications related to Optimization Notes

Functions With Orthogonal Hessian

A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C-2 functions u Omega subset of R-2 -> R with orthogonal Hessian in terms of a property named "second order angle condition" as in (1 1) ...

2010

Generalized Monotonicity Analysis

Thomas Alois Weber

Complex economic models often lack the structure for the application of standard techniques in monotone comparative statics. Generalized monotonicity analysis (GMA) extends the available methods in several directions. First, it provides a way of finding pa ...

Springer Verlag2010

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

Shift-Invariant Spaces from Rotation-Covariant Functions

Michaël Unser, Dimitri Nestor Alice Van De Ville, Thierry Blu

We consider shift-invariant multiresolution spaces generated by rotation-covariant functions ρ in

\mathbb{R}^{ 2 }

. To construct corresponding scaling and wavelet functions, ρ has to be localized with an appropriate multiplier, such that the localized ...

Elsevier2008

CMOS realization of two-dimensional mixed analog-digital Hamming distance discriminator circuits for real-time imaging applications

Alexandre Schmid, Yusuf Leblebici, Stéphane Badel

The architecture of an integrated Hamming artificial neural network, and its use as a versatile signal/image processing circuit is presented. The circuit operation relies oil the charge-based processing of sum-of-products terms, complemented with digital p ...

2008

An Intorduction to the Interface Between C and R

This manual will be useful for people looking to extend R with the C compiled code. The motivation for using the C interface with R may be bidirectional. For statisticians programming mainly in R, an interface to C provides fast execution of code and bette ...

2007

Center of Mass Encoding: A self-adaptive representation with adjustable redundancy for real-valued parameters

Dario Floreano, Claudio Mattiussi, Peter Dürr

Abstract--- In this paper we describe a new class of representations for real-valued parameters called Center of Mass Encoding (CoME). CoME is based on variable length strings, it is self-adaptive, and it permits the choice of the degree of redundancy of t ...

ACM Press2007

Adjusted complex position of extra sources in the image sources method

Thomas Guignard, Vincent Martin

Using a series development of the integral solution, a formal backing of the presence of image sources in geometrical acoustics methods has been shown. Furthermore, the existence of "invisible" sources is suggested, especially in the vicinity of obtuse ang ...

2006

The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points. II

Philippe Michel

We prove a general subconvex bound in the level aspect for Rankin–Selberg L-functions associated with two primitive holomorphic or Maass cusp forms over Q. We use this bound to establish the equidistribution of incomplete Galois orbits of Heegner points on ...

2006

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

Martin Vetterli, Thierry Blu, Pier Luigi Dragotti

Consider the problem of sampling signals which are not bandlimited, but still have a finite number of degrees of freedom per unit of time, such as, for example, piecewise polynomial or piecewise sinusoidal signals, and call the number of degrees of freedom ...

2006

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Functions With Orthogonal Hessian

Generalized Monotonicity Analysis

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

Shift-Invariant Spaces from Rotation-Covariant Functions

CMOS realization of two-dimensional mixed analog-digital Hamming distance discriminator circuits for real-time imaging applications

An Intorduction to the Interface Between C and R

Center of Mass Encoding: A self-adaptive representation with adjustable redundancy for real-valued parameters

Adjusted complex position of extra sources in the image sources method

The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points. II

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation

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

The subconvexity problem for Rankin-Selberg $L$-functions and equidistribution of Heegner points. II

Functions With Orthogonal Hessian

An Intorduction to the Interface Between C and R

Generalized Monotonicity Analysis

Shift-Invariant Spaces from Rotation-Covariant Functions

CMOS realization of two-dimensional mixed analog-digital Hamming distance discriminator circuits for real-time imaging applications

Adjusted complex position of extra sources in the image sources method

Center of Mass Encoding: A self-adaptive representation with adjustable redundancy for real-valued parameters

Exact Local Reconstruction Algorithms for Signals with Finite Rate of Innovation