Computational algorithms for modeling systems with piecewise constant parameters

Piecewise Constant Controlled Linear Fuzzy Systems

Cake Cutting Algorithms for Piecewise Constant and Piecewise Uniform Valuations

Cake cutting is one of the most fundamental settings in fair division and mechanism design without money. In this paper, we consider different levels of three fundamental goals in cake cutting: fairness, Pareto optimality, and strategyproofness. In particular, we present robust versions of envy-freeness and proportionality that are not only stronger than their standard counter-parts but also ha...

piecewise constant controlled linear fuzzy systems

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piecewise constant controlled linear fuzzy systems

Quantitative Photoacoustic Tomography with Piecewise Constant Material Parameters

The goal of quantitative photoacoustic tomography is to determine optical and acoustical material properties from initial pressure maps such as those obtained, for instance, from photoacoustic imaging. The most relevant parameters are absorption, diffusion, and Grüneisen coefficients, all of which can be heterogeneous. Recent work by Bal and Ren shows that, in general, unique reconstruction of ...