Results 71 to 80 of about 69,312 (204)
Harmonic analysis of translation invariant valuations
The decomposition of the space of continuous and translation invariant valuations into a sum of SO(n) irreducible subspaces is obtained. A reformulation of this result in terms of a Hadwiger type theorem for continuous translation invariant and SO(n ...
Alesker, Semyon +2 more
core +1 more source
Validation of machine learning based scenario generators
Abstract Machine learning (ML) methods are becoming increasingly important for designing economic scenario generators for internal models. Validating data‐driven models requires different methods than validating classical, theory‐based models. We discuss two novel aspects of such validation: first, checking the multivariate distribution of risk factors,
Gero Junike, Solveig Flaig, Ralf Werner
wiley +1 more source
Minkowski Sums and Hadamard Products of Algebraic Varieties [PDF]
We study Minkowski sums and Hadamard products of algebraic varieties. Specifically we explore when these are varieties and examine their properties in terms of those of the original varieties.
Friedenberg N., Oneto A., Williams R. L.
openaire +3 more sources
ABSTRACT How should we understand the duration of a pleasant or unpleasant sensation, insofar as its duration modulates how good or bad the experience is overall? Given that we seem able to distinguish between subjective and objective duration and that how well or badly someone's life goes is naturally thought of as something to be assessed from her ...
Andreas L. Mogensen
wiley +1 more source
Random Diophantine equations in the primes
Abstract We consider equations of the form a1x1k+⋯+asxsk=0$a_{1}x_{1}^{k}+\cdots +a_{s}x_{s}^{k}=0$ where the variables xi$x_{i}$ are all taken to be primes. We define an analogue of the Hasse principle for solubility in the primes (which we call the prime Hasse principle), and prove that, whenever k⩾2$k\geqslant 2$, s⩾3k+2$s\geqslant 3k+2$, this holds
Philippa Holdridge
wiley +1 more source
Accurate Minkowski sum approximation of polyhedral models
We present an algorithm to approximate the 3D Minkowski sum of polyhedral objects. Our algorithm decomposes the polyhedral objects into convex pieces, generates pairwise convex Minkowski sums and computes their union. We approximate the union by generating a voxel grid, computing signed distance on the grid points and performing isosurface extraction ...
G. Varadhan, D. Manocha
openaire +1 more source
The degree of cooperativism in Europe: Towards an evaluation model for cooperative banking
Abstract Democracy, social commitment and proximity are fundamental values of cooperative‐based financial institutions. The degree of cooperativism of an entity (or, by extension, of a territorial area or country) can be associated with the intensity with which the entity promotes the inherent values of cooperatives.
Francisco Salas‐Molina +2 more
wiley +1 more source
ABSTRACT This paper focuses on state estimation for a fairly general class of systems, involving nonlinear functions and disturbances in both the process dynamics and output equations. A nonlinear observer that satisfies a H∞$$ {\boldsymbol{H}}_{\boldsymbol{\infty}} $$ disturbance attenuation constraint in addition to providing asymptotic stability in ...
Hamidreza Movahedi +2 more
wiley +1 more source
Description of the symmetric convex random closed sets as zonotopes from their Feret diameters
In this paper, the 2-D random closed sets (RACS) are studied by means of the Feret diameter, also known as the caliper diameter. More specifically, it is shown that a 2-D symmetric convex RACS can be approximated as precisely as we want by some random ...
Saïd Rahmani +2 more
doaj +1 more source
Compact convex sets of the plane and probability theory
The Gauss-Minkowski correspondence in $\mathbb{R}^2$ states the existence of a homeomorphism between the probability measures $\mu$ on $[0,2\pi]$ such that $\int_0^{2\pi} e^{ix}d\mu(x)=0$ and the compact convex sets (CCS) of the plane with perimeter~1 ...
Marckert, Jean-François, Renault, David
core +2 more sources

