equivalence classes is a basic cognitive task. Descriptions of categorization long favored a generalized prototype principle (Homa,

In this paper we propose a simple, alternative interpretation of backpropagation learning. We call this the "epoch interpretation of learning " and show how it can be used to improve the performance of earlystopping based techniques used for improving generalization performance in neural

media, generally a computer. Specifically, we focus on cyborgs (cybernetic organisms) which incorporate this particular scientific know-how in their functionality. Some companies have already begun tapping its plethora of utilities envisaging the positive aspects on mankind. These companies innocuously

The energy conditions of Einsteinian gravity (classical general relativity) do not require one to fix a specific equation of state. In a Friedmann-Robertson-Walker universe where the equation of state for the cosmological fluid is uncertain, the energy conditions provide simple, model

(t) is the sum of squares of dipole and octupole magnetic moments. The L(t) index is the total length of magnetic neutral lines on the Hα synoptic chart, and K(t) characterizes the complexity of the topology pattern of the general magnetic field of the Sun. It is determined by the inverse number of crossings

This paper obtains conditions under which GARCH(1, 1) processes satisfy near epoch dependence without imposing strict stationarity. This substantially generalizes the conditions under which weak and strong laws of large numbers, central limit theorems and invariance principles hold for GARCH

The energy conditions of Einstein gravity (classical general relativity) are designed to extract as much information as possible from classical general relativity without enforcing a particular equation of state for the stress-energy. This systematic avoidance of the need to specify a particular

, contingency, prediction error, magnitude, probability, expected value, and variance. CONTENTS INTRODUCTION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 GENERAL IDEAS ON REWARD FUNCTION, AND A CALL FOR THEORY

generally, we find that the optimal parameter settings for epochal evolutionary search correspond to behavioral regimes in which the consecutive epochs are marginally stable against the sampling fluctuations. Our results suggest that in order to achieve optimal search, one should set evolutionary parameters

Recent theoretical developments for observing the epoch of reionization (EOR) have concentrated on the power spectrum signature of redshifted 21 cm emission. These studies have demonstrated the great potential of statistical EOR observations; however, the sensitivity calculations for proposed low