Optimal transport (OT) compares probability distributions by computing a meaningful alignment between their samples. CO-optimal (COOT) takes this comparison further inferring an features as well. While approach leads to better alignments and generalizes both OT Gromov-Wasserstein distances, we provide theoretical result showing that it is sensitive outliers are omnipresent in real-world data. T...

For a graph G, and two distinct vertices u v of let $$ n_{{G(u,v)}} n G ( , ) be the number that are closer in to than v. Miklavi? Šparl arXiv:2011.01635v1 define distance-unbalancedness $${{\mathrm{uB}}}(G)$$ uB as sum $$|n_G(u,v)-n_G(v,u)|$$ | - over all unordered pairs G. positive integers up 15, they determine trees T fixed order with smallest largest values $${\mathrm{uB}}(T)$$ respectivel...

with conventional control strategy under unbalanced grid conditions, power fluctuations will be generated in the input active power and reactive power of the wind power Grid Connected Inverter (GCI). In this paper, a novel sequence extraction method is proposed in the voltage components decomposition. Based on second order generalized integrator (SOGI) with PLL, a decomposition module with an a...

We consider propagation of coherent light through a nonlinear periodic optical structure consisting of two alternating layers with different linear and nonlinear refractive indices. A coupled-mode system is derived from the Maxwell equations and analyzed for the stationary-transmission regimes and linear time-dependent dynamics. We find the domain for existence of true all-optical limiting when...

During my fellowship training in critical care, my then 4-year-old daughter drew my picture in shabby scrubs with two dark circles around my eyes, and named it " mommy panda " depicting my sleep deprived and exhausted existence. At that time, I was spending about two and a half hours commuting, braving Atlanta traffic, while my husband pursued his PhD training in New York. My situation as an an...

Using a simple example and simulations, we explore the impact of input tree shape upon a broad range of supertree methods. We find that input tree shape can affect how conflict is resolved by several supertree methods and that input tree shape effects may be substantial. Standard and irreversible matrix representation with parsimony (MRP), MinFlip, duplication-only Gene Tree Parsimony (GTP), an...

The use of multicast transmissions, in which users broadcast their data (typically video or audio) to a subset of other users, is growing on the Internet. For example, in input-queued ATM (asynchronous transfer mode) multicast switches, a cell in an input queue may be broadcast to several outputs, and only the cell at the head of each input queue (the HOL, or head-of-line,, cell) is observed an...