Measures with Multiple Purposes: Puzzles from EC—Seal Products

Measures with Multiple Purposes: Puzzles from EC-Seal Products

Products of Capacities Derived from Additive Measures

A new approach to define a product of capacities is presented. It works for capacities that are in a certain relation with additive measures, most often this means that they are somehow derived from additive measures. The product obtained is not unique, but rather, lower and upper bound are given.

Multiple products from microRNA transcripts.

A single transcript sometimes codes for more than one product. In bacteria, and in a few exceptional animal lineages, many genes are organized into operons: clusters of open reading frames that are transcribed together in a single polycistronic transcript. However, polycistronic transcripts are rare in eukaryotes. One notable exception is that of miRNAs (microRNAs), small RNAs that regulate gen...

Solving Multiple Square Jigsaw Puzzles with Missing Piece

Puzzle solving is important in many applications, such as image editing [1], biology [5] and archaeology, to name a few. This work focuses on puzzles with square pieces. The problem is introduced by [2], where a greedy algorithm, as well as a benchmark, are proposed. The algorithm discussed in [8] improves the results by using a particle filter. Pomeranz et al. [6] introduce the first fully-aut...

Inventory Accumulation with Multiple Products

Sheffield (2016) proposed an inventory accumulation model with two types of products which encodes the critical Fortuin-Kasteleyn model on a random planar map, and showed that a two-dimensional inventory accumulation trajectory in the discrete model scales to a correlated planar Brownian motion. In this work, we generalize the inventory model to k types of products for any integer k ≥ 2, and pr...