AI systems can create, propagate, support, and automate bias in decision-making processes. To mitigate biased decisions, we both need to understand the origin of define what it means for an algorithm make fair decisions. Most group fairness notions assess a model's equality outcome by computing statistical metrics on outputs. We argue that these output encounter intrinsic obstacles present comp...

We present a computational inverse design method for new class of surface-based inflatable structure. Our deployable structures are fabricated by fusing together two layers inextensible sheet material along carefully selected curves. The curves form network tubular channels that can be inflated with air or other fluids. When fully inflated, the initially flat surface assumes programmed double-c...

Superposing multiple plane waves can generate helicity lattices in which the optical varies regularly space. Here we propose an inverse design method for constructing arbitrary structures based on placing a digital object of dielectric inclusions three-dimensional We apply to that reproduce two-dimensional embedded within region using only single wave as input. In order demonstrate power and fl...

In this paper we derive some unbiased estimators of the population mean under simple inverse sampling with replacement, using the class of Hansen-Hurwitz and Horvitz-Thompson type estimators and the post-stratification approach. We also compare the efficiency of resulting estimators together with Murthy's estimator. We show that in despite of general belief, the strategy consisting of inverse s...