We propose a framework, named Aggregated Wasserstein, for computing a dissimilarity measure or distance between two Hidden Markov Models with state conditional distributions being Gaussian. For such HMMs, the marginal distribution at any time position follows a Gaussian mixture distribution, a fact exploited to softly match, aka register, the states in two HMMs. We refer to such HMMs as Gaussia...

We consider the nonlinear optimal transportation problem of minimizing the cost functional C∞(λ) = λess sup(x,y)∈Ω2 |y−x| in the set of probability measures on Ω having prescribed marginals. This corresponds to the question of characterizing the measures that realize the in nite Wasserstein distance. We establish the existence of local solutions and characterize this class with the aid of an ad...

In this work, the design of a low-cost, field programmable gate array (FPGA)-based digital hardware platform that implements image processing algorithms for real-time distance measurement is presented. Using embedded development kit (EDK) tools from Xilinx, the system is developed on a spartan3 / xc3s400, one of the common and low cost field programmable gate arrays from the Xilinx Spartan fami...

We give a necessary and sufficient condition on the cost function so that the map solution of Monge’s optimal transportation problem is continuous for arbitrary smooth positive data. This condition was first introduced by Ma, Trudinger and Wang [17, 21] for a priori estimates of the corresponding Monge-Ampère equation. It is expressed by a socalled cost-sectional curvature being non-negative. W...

The optical access is gaining more interest as the demand for higher and higher bandwidth is getting stronger. The major drivers for larger bandwidth are the increasing processing power of user terminals and development of services that require substantially larger bandwidth than available in present day access networks. The prevailing access techniques, such as the digital subscribes line syst...