Abstract: Coarse-coded symbol memories have appeared in several neural network symbol processing models. In order to determine how these models would scale, one must first have some understanding of the mathematics of coarse-coded representations. We define the general structure of coarse-coded symbol memories and derive mathematical relationships among their essential parameters: memory 8ize, ...

We proposed a systematic and simulation-free strategy for the structure-based coarse graining of multi-component polymeric systems using the polymer reference interaction site model theory, and as an example applied it to a simple model system of binary polymer blends. Our structure-based coarse graining ensures that the original and coarse-grained (CG) systems have the same intraand intermolec...

the pull- out strength of the reinforcement has a significant role on the function of the most reinforced soil structures. since the coarse grain soils have a better interaction with the reinforcement, they are mostly used in these structures. in most situations, we have to transfer these granular soils from the borrow area, usually far from the site of the project. this will impose a considera...

In this paper we propose a way to integrate data at different spatial scales using the ensemble Kalman filter (EnKF), such that the finest scale data is sequentially estimated, subject to the available data at the coarse scale(s), as an additional constraint. Relationship between various scales has been modeled via upscaling techniques. The proposed coarse-scale EnKF algorithm is recursive and ...

A characteristics finite volume element discretization technique based on two subspaces is presented for a nonlinear convection-dominated diffusion equations. The solution of a nonlinear system on the fine space is composed of solving one small (nonlinear) system on the coarse space and a linear system on the fine space. Error estimates are derived and numerical experiments are performed to val...

People often look at objects and people with which they are likely to interact. The first step for computer systems to adapt to the user and to improve interaction and with people is to locate where they are, and especially the location of their faces on the image. The next step is to track their focus of attention. For this reason, we are interested in techniques for estimating and tracking ga...

Introduction: Micrometeorites (MMs) are large (>25 µm) interplanetary dust particles that survive atmospheric entry to be recovered from the Earth's surface. Amongst those particles that escaped significant heating during atmospheric entry two groups have been identified [1]: (i) fine-grained MMs (fgMMs), which are similar to the fine-grained matrices of hy-drated carbonaceous chondrites (CCs),...

In this paper, we study robust two-level domain decomposition preconditioners for 10 highly anisotropic multiscale problems. We present a construction of coarse spaces 11 that emploies initial multiscale basis functions and discuss techniques to achieve 12 smaller dimensional coarse spaces without sacrificing the robustness of the precon13 ditioner. We also present numerical results and conside...

The original additive average Schwarz method and its variants were introduced for solving second order elliptic boundary value problems. In this paper, we extend the original idea to fourth order problems by designing a variant of the additive average Schwarz method for the plate bending problem using the nonconforming Morley finite element for the discretization. Like the original average meth...

Comprehensive estimates of forest carbon (C) mass and respiration require measurements of all C pools, including coarse woody debris (CWD). We used inventory and chamber-based methods to quantify C mass and the annual respiratory C loss from CWD and other major ecosystem components for a deciduous forest in the upper Great Lakes region. Coarse woody debris mass (MCWD, 2.2 Mg C ha ) was less tha...