We propose a new framework for shape representation and scenery shape selection. Various topics including figure/ground separation, shape axis construction, junction detection and illusory figure finding will be discussed. The model construction is inspired by the Gestalt studies. They suggest proximity, convexity, symmetry, etc, as cues for figure/ground separation and visual organization. By ...

Economists model time as continuous or discrete. The recent literature on continuous time models with delays should help to bridge the gap between these two families of models. In this note, we propose a simple time–to–build model in continuous time, and show that a discrete time version is a true representation of the continuous time problem under some sufficient conditions. JEL codes: O40, E3...

We present a method that allows an agent to learn a qualitative state representation that can be applied to reinforcement learning. By exploring the environment the agent is able to learn an abstraction that consists of landmarks that break the space into qualitative regions, and rules that predict changes in qualitative state. For each predictive rule the agent learns a context consisting of q...

This paper addresses the problem of obtaining a concise description of a physical environment for robotic exploration. We aim to determine the number of robots required to clear an environment using non-recontaminating exploration. We introduce the medial axis as a configuration space and derive a mathematical representation of a continuous environment that captures its underlying topology and ...

A general method, the tensor product representation, is described for the distributed representation of value/variable bindings. The method allows the fully distributed representation of symbolic structures: the roles in the structures, as well as the fillers for those roles, can be arbitrarily non-local. Fully and partially localized special cases reduce to existing cases of connectionist repr...

In this paper we give an overview over the basic features of the continuous representation theory of p-adic Lie groups as it has emerged during the last five years. The main motivation for developing such a theory is a possible extension of the local Langlands program to p-adic Galois representations. This is still very much in its infancy. But in the last section we will describe a first appro...

An essential decision that must be made by software organizations that adopt the continuous representation of the capability maturity model integration (CMMI) for software process improvement concerns a suitable path that best meets their business objectives and mitigates the organization’s risk. However, the CMMI models released by the Software Engineering Institute do not give their adopters ...

This paper develops a method for solving for the dynamic general equilibrium of a deterministic continuous time overlapping generations model with a finite-horizon life-cycle. The model has isoelastic preferences and allows for general assumptions about individual endowments and demographics. Solving for an equilibrium reduces to solving a nonlinear integral equation. In the special case of log...

• A novel approach to obtaining series representations in the stochastic mean for weakly, and therefore mean square, continuous stochastic processes 1s presented. Two distinct orthogonal series representations are derived for the entire class of weakly continuous stochastic processes on any Lebesgue set of the real line, and a constructive procedure to obtain them explicitly is given. They incl...