Because maximum-likelihood training is intractable for general factor graphs, an appealing alternative is local training, which approximates the likelihood gradient without performing global propagation on the graph. We discuss two new local training methods: shared-unary piecewise, in which unary factors are shared among every higher-way factor that they neighbor, and the one-step cutout metho...

Mendelian randomization, the use of genetic variants as instrumental variables (IV), can test for and estimate the causal effect of an exposure on an outcome. Most IV methods assume that the function relating the exposure to the expected value of the outcome (the exposure-outcome relationship) is linear. However, in practice, this assumption may not hold. Indeed, often the primary question of i...

introduction: the diagnosis of symptoms and the estimation of cancer risk in individuals are of great interest for research teams. several methods developed for estimation of the risk of cancer in the individuals exposed to risk. because of its capability to illustrate the correlation between genotype and phenotype, the kin-cohort method has become a method of choice for many researchers. this ...

Abstract: We propose the stabilization of nonlinear systems with singularities via switching piecewise bilinear (PB) control. The approximated model is fully parametric. Input-output (I/O) feedback linearization is applied to stabilize PB control systems. We construct piecewise Lyapunov-like function for each piecewise region and stabilize the state space using a hybrid control method. Examples...

A second order front tracking method is developed for solving the Euler equations of inviscid fluid dynamics numerically. Front tracking methods are usually limited to first order accuracy, since they are based on a piecewise constant approximation of the solution. Here the second order convergence is achieved by building a piecewise linear reconstruction of the piecewise constant front trackin...

The paper deals with a flow distribution problem with a piecewise-linear cost function. The problem is formulated as a piecewise-linear programming problem which is not separable with respect to separate variable group. The method for solving this problem is based on the extension of the idea of the simplex method to the class of non-separable piecewise-linear problems. It secures finding of a ...

This note presents a stability analysis method for piecewise discrete-time linear systems based on a piecewise smooth Lyapunov function. It is shown that the stability of the system can be established if a piecewise Lyapunov function can be constructed and, moreover, the function can be obtained by solving a set of linear matrix inequalities (LMIs) that is numerically feasible with commercially...