Models of cell function that assign a variable to each gene frequently lead to systems of equations with many parameters whose behavior is obscure. Geometric models reduce dynamics to intuitive pictorial elements that provide compact representations for sparse in vivo data and transparent descriptions of developmental transitions. To illustrate, a geometric model fit to vulval development in Ca...

T main goal of this paper is to describe a new multistage Monte Carlo (MMC) simulation method for solving influence diagrams using local computation. Global methods have been proposed by others that sample from the joint probability distribution of all the variables in the influence diagram. However, for influence diagrams having many variables, the state space of all variables grows exponentia...

Normalized nonnegative models assign probability distributions to users and random variables to items; see [Stark, 2015]. Rating an item is regarded as sampling the random variable assigned to the item with respect to the distribution assigned to the user who rates the item. Models of that kind are highly expressive. For instance, using normalized nonnegative models we can understand users’ pre...

We studied the dynamics of the Ricker population model under perturbations by the discrete random variable e which follows distribution Pfe ˆ aig ˆ pi; i ˆ 1; . . . ; n; 0 < ai 1, n P 1. Under the perturbations, n‡ 1 blurred orbits appeared in the bifurcation diagram. Each of the n‡ 1 blurred orbits consisted of n sub-orbits. The asymptotes of the n sub-orbits in one of the n‡ 1 blurred orbits ...

Binary and multivalued decision diagrams are closely related to dynamic programming (DP) but differ in some important ways. This paper makes the relationship more precise by interpreting the DP state transition graph as a weighted decision diagram and incorporating the state-dependent costs of DP into the theory of decision diagrams. It generalizes a well-known uniqueness theorem by showing tha...

Standard Johnson UBVRI photometry of V 1794 Cyg (HD199178) between 1975 and 1995 is analysed. Instead of the traditional constant period ephemeris, we determine the seasonal periodicities (Pphot) and the primary and secondary minima epochs (tmin,1, tmin,2) of the normalized UBVRI magnitudes using the three stage period analysis (TSPA) and complementary methods. Our tmin,1 and tmin,2 estimates w...

The problem of finding an optimal variable ordering for Binary Decision Diagrams (BDD) or Multi-Valued Decision Diagrams (MDD) is widely known to be NP-Complete. This paper presents a survey of static heuristic techniques applied to ordering the variables of the BDD/MDD under construction in order to minimize the overall size of the resulting decision diagram.

Localized magnetic topological solitons with Hopf index of 1 in an unbounded bulk magnet are studied theoretically, starting the classical micromagnetic Hamiltonian. It is shown analytically that (like Bloch and Néel walls magnetism) there two possible stable configurations these nanoobjects, which equivalent topologically. Their stability regions plotted on a phase diagram field — uniaxial ani...