Abstract For the Fröhlich model of large polaron, we prove that ground state energy as a function total momentum has unique global minimum at zero. This implies non-existence translation invariant Hamiltonian and thus excludes possibility localization transition finite coupling.

A new approach based on interval analysis is developed to find the global minimum-jerk (MJ) trajectory of a robot manipulator within a joint space scheme using cubic splines. MJ trajectories are desirable for their similarity to human joint movements and for their amenability to path tracking and to limit robot vibrations. This makes them attractive choices for robotic applications, in spite of...

We propose a new Chinese abbreviation prediction method which can incorporate rich local information while generating the abbreviation globally. Different to previous character tagging methods, we introduce the minimum semantic unit, which is more fine-grained than character but more coarse-grained than word, to capture word level information in the sequence labeling framework. To solve the “ch...

Exclusion algorithms have been used recently to find all solutions of a system of nonlinear equations or to find the global minimum of a function over a compact domain. These algorithms are based on a minimization condition that can be applied to each cell in the domain. In this paper, we consider Lipschitz functions of order and give a new minimization condition for the exclusion algorithm. Fu...

We describe deterministic and randomized algorithms for finding global minimum cuts in undirected graphs. 1 Global and s-t cuts in undirected graphs Let G = (V,E,w) be a weighted undirected graph, where w : E → R is a weight (or cost, or capacity) function defined on its edges. A (global) cut {S, T} of G is a partition of V into two disjoint non-empty sets, i.e., S, T 6= φ and S ∩ T = φ. Edges ...

The paper considers balanced packing problem of a given family of circles into a larger circle of the minimal radius as a multiextremal nonlinear programming problem. We reduce the problem to unconstrained minimization problem of a nonsmooth function by means of nonsmooth penalty functions. We propose an efficient algorithm to search for local extrema and an algorithm for improvement of the low...

Traditional portfolio optimization has been often criticized since it does not account for estimation risk. Theoretical considerations indicate that estimation risk is mainly driven by the parameter uncertainty regarding the expected asset returns rather than their variances and covariances. This is also demonstrated by several numerical studies. The global minimum variance portfolio has been a...

A global optimization method is described for identifying the global minimum energy conformation, as well as lower and upper bounds on the global minimum conformer of solvated peptides. Potential energy contributions are calculated using the ECEPP/3 force eld model. In considering the eeects of hydration, two implicit free energy models are compared. One method is based on the calculation of so...