We study the problem of making interpersonal well-being comparisons when individuals have heterogeneous preferences. present a robust, but incomplete, criterion for that states one individual is better off than another if intersection between extended upper contour set better-off and lower worse-off empty. implement in consumption-health space using an online survey 2260 respondents United Stat...

Synthetic Aperture Radar (SAR) is the only way to evaluate deformation of the Earth’s surface from space on the order of centimeters and millimeters due to its coherent nature and short wavelengths. Hence, by this means the long term risk monitoring and security are performed as precisely as possible. Traditional SAR imaging delivers a projection of the 3-D object to the two dimensional (2-D) a...

Multivariate control chats are generally used in situations where the simultaneous monitoring or control of two or more related quality characteristics is necessary. In most processes in the real world, distribution of the process characteristics are unknown or at least non-normal, so the non-parametric or distribution-free charts are desirable. Most non-parametric statistical process-control t...

We establish optimal rates for online regression for arbitrary classes of regression functions in terms of thesequential entropy introduced in [14]. The optimal rates are shown to exhibit a phase transition analogous to thei.i.d./statistical learning case, studied in [16]. In the frequently encountered situation when sequential entropyand i.i.d. empirical entropy match, our resu...

ConvNets have been effective in many applications where it is required to learn invariances to within-class nuisance transformations. However, through their architecture, ConvNets only enforce invariance to translation. In this paper, we introduce a new class of convolutional architectures called Non-Parametric Transformation Networks (NPTNs) which can learn general invariances and symmetries d...