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Due to the appearance of data on networks such as internet or Facebook, the number of applications of signal on weighted graph is increasing. Unfortunately, because of the irregular structure of this data, classical signal processing techniques are not app ...
A drawing of a graph is x-monotone if every edge intersects every vertical line at most once and every vertical line contains at most one vertex. Pach and Toth showed that if a graph has an x-monotone drawing in which every pair of edges crosses an even nu ...
This work concerns the identification of the structure of a genetic network model from measurements of gene product concentrations and synthesis rates. In earlier work, we developed a data preprocessing algorithm that is able to reject many hypotheses on t ...
In this paper we prove the global in time well-posedness of the following non-local diffusion equation with αε[0,2/3): ∂tu={(−Δ)−1u}Δu+αu2,u(t=0)=u0. The initial condition u0 is positive, rad ...
This work concerns the identification of the structure of a genetic network model from measurements of gene product concentrations and synthesis rates. In earlier work, for a wide family of network models, we developed a data preprocessing algorithm that i ...
Monolayer-protected metal nanoparticles (MPMNs) are a newly discovered class of nanoparticles with an ordered, striped domain structure that can be readily manipulated by altering the ratio of the hydrophobic to hydrophilic ligands. This property makes the ...
In multiple testing, a variety of control metrics have been introduced such as the family-wise error rate (FWER), the False Discovery Rate (FDR), False Exceedence Rate (FER), etc. We found a way to embed these metrics into a continuous family of control me ...
When a phenomenon is described by a parametric model and multiple datasets are available, a key problem in statistics is to discover which datasets are characterized by the same parameter values. Equivalently, one is interested in partitioning the family o ...
The population ageing implies an increasing need for support especially in terms of mobility. Actuated orthoses offer new possibilities to assist walking by compensating the diminished muscular force which occurs with age. In order to assist efficiently th ...
When many (m) null hypotheses are tested with a single dataset, the control of the number of false rejections is often the principal consideration. Two popular controlling rates are the probability of making at least one false discovery (FWER) and the expe ...
