In recent work we have extended the theory that dark matter is composed of primordial black hole (PBHs) to extremely high masses and made an assumption holographic entropy bound saturated. Astrophysicists recently suggested PBHs are formed with electric charges Q, retain their for age universe, all same sign, Q/M increases mass M. Adopting these assumptions using approximate formula relating Q ...

Game theory has focused attention on different problems at different times in its history. Currently, attention is devoted to investigating how human decision makers with bounded rationality choose strategies in interactive decisions. Behavioral economics, and more generally experimental games, have appeared in the literature with accelerating frequency since 1990, and this cannot continue inde...

Historically, mathematical morphology has primarily focused on the processing and analysis of two-dimensional image data. In this paper, we survey a number of other areas where mathematical morphology finds fruitful application, such as computer graphics and solid modeling; path planning; filtering, segmentation and visualization of volume data; or visual exploration of high-dimensional data. W...

Techniques are developed for accelerating multigrid convergence in general, and for advection-diffusion and incompressible flow problems with small viscosity in particular. It is shown by analysis that the slowing down of convergence is due mainly to poor coarse-grid correction to certain error components, and means for dealing with this problem are suggested, analyzed, and tested by numerical ...

Weighted finite automata (WFA) are used with FPGA accelerating hardware to scan large genomic banks. Hardwiring such automata raises surface area and clock frequency constraints, requiring efficient ε-transitions-removal techniques. In this paper, we present bounds on the number of new transitions for the development of acyclic WFA, which is a special case of the ε-transitions-removal problem. ...

The learning time of a simple neural network model is obtained through an analytic computation of the eigenvalue spectrum for the Hessian matrix, which describes the second order properties of the cost function in the space of coupling coefficients. The form of the eigenvalue distribution suggests new techniques for accelerating the learning process, and provides a theoretical justification for...

We describe and implement a computer-assisted approach for accelerating the exploration of uncharted effective free-energy surfaces (FESs). More generally, the aim is the extraction of coarse-grained, macroscopic information from stochastic or atomistic simulations, such as molecular dynamics (MD). The approach functionally links the MD simulator with nonlinear manifold learning techniques. The...

Weighted finite automata (WFA) are used with accelerating hardware to scan large genomic banks. Hardwiring such automata raise surface area and clock frequency constraints, requiring efficient ε-transitions-removal techniques. In this paper, we present new bounds on the number of new transitions for several ε-transitions-removal problems. We study the case of acyclic WFA. We introduce a new pro...