We consider the problem faced by a retail chain that must select what mutual-substitute items to display in each one of its stores maximize revenues. The number cannot exceed limit space capacity store. Customers purchase product maximizes their utility, which depends on price, travel cost store, and reservation known retailer. retailer can set different price markdowns at products. considers d...

Alison E. Malcolm,1 Bjørn Ursin2 and Maarten V. de Hoop3 1Department of Earth, Atmospheric and Planetary Sciences, Massachusetts Institute of Technology, Cambridge, MA, USA. E-mail: [email protected] 2Norwegian University of Science and Technology (NTNU), Department of Petroleum Engineering and Applied Geophysics, S. P Andersensvei 15A, NO-7491 Trondheim, Norway 3Center for Computational and App...

The estimation of shaping filters with the `1-norm as opposed to the `2-norm leads to a proper attenuation of multiples when significant amplitude discrepancies exist between multiples and primaries. The actual method implemented is the fairly standard iteratively re-weighted least-squares method which is an excellent approximation to `1. Synthetic and field data results illustrate the advantag...

We show that, for each value of α ∈ (−1, 1), the only Riemannian metrics on the space of positive definite matrices for which the ∇ and ∇ connections are mutually dual are matrix multiples of the Wigner-Yanase-Dyson metric. If we further impose that the metric be monotone, then this set is reduced to scalar multiples of the WignerYanase-Dyson metric.