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A general theory of additive state space abstractions

by Fan Yang, Joseph Culberson, Robert Holte, Uzi Zahavi, Ariel Felner - JAIR
"... Informally, a set of abstractions of a state space S is additive if the distance between any two states in S is always greater than or equal to the sum of the corresponding distances in the abstract spaces. The first known additive abstractions, called disjoint pattern databases, were experimentally ..."
Abstract - Cited by 23 (13 self) - Add to MetaCart
Spin and the Pancake puzzle. In this paper we give a general definition of additive abstractions that can be applied to any state space and prove that heuristics based on additive abstractions are consistent as well as admissible. We use this new definition to create additive abstractions for these testbeds and show

Stacked generalization

by David H. Wolpert - NEURAL NETWORKS , 1992
"... This paper introduces stacked generalization, a scheme for minimizing the generalization error rate of one or more generalizers. Stacked generalization works by deducing the biases of the generalizer(s) with respect to a provided learning set. This deduction proceeds by generalizing in a second sp ..."
Abstract - Cited by 731 (9 self) - Add to MetaCart
space whose inputs are (for example) the guesses of the original generalizers when taught with part of the learning set and trying to guess the rest of it, and whose output is (for example) the correct guess. When used with multiple generalizers, stacked generalization can be seen as a more

K-theory for operator algebras

by Bruce Blackadar - Mathematical Sciences Research Institute Publications , 1998
"... p. XII line-5: since p. 1-2: I blew this simple formula: should be α = −〈ξ, η〉/〈η, η〉. p. 2 I.1.1.4: The Riesz-Fischer Theorem is often stated this way today, but neither Riesz nor Fischer (who worked independently) phrased it in terms of completeness of the orthogonal system {e int}. If [a, b] is a ..."
Abstract - Cited by 558 (0 self) - Add to MetaCart
] is a bounded interval in R, in modern language the original statement of the theorem was that L 2 ([a, b]) is complete and abstractly isomorphic to l 2. According to [Jah03, p. 385], the name “Hilbert space ” was first used in 1908 by A. Schönflies, apparently to refer to what we today call l 2. Von

Theory of Elasticity,

by S P Timoshenko , J N Goodier , 1951
"... ABSTRACT The knowledge of the in-situ stress field in rock masses is in general of crucial importance in various areas of geo-engineering, such as mining or civil underground excavations, hydrocarbon extraction, CO2 storage, hydraulic fracture operations, etc. In the context of the Finite Element ..."
Abstract - Cited by 710 (1 self) - Add to MetaCart
ABSTRACT The knowledge of the in-situ stress field in rock masses is in general of crucial importance in various areas of geo-engineering, such as mining or civil underground excavations, hydrocarbon extraction, CO2 storage, hydraulic fracture operations, etc. In the context of the Finite Element

Impulses and Physiological States in Theoretical Models of Nerve Membrane

by Richard Fitzhugh - Biophysical Journal , 1961
"... ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of non-linear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing excitabi ..."
Abstract - Cited by 505 (0 self) - Add to MetaCart
ABSTRACT Van der Pol's equation for a relaxation oscillator is generalized by the addition of terms to produce a pair of non-linear differential equations with either a stable singular point or a limit cycle. The resulting "BVP model " has two variables of state, representing

Some informational aspects of visual perception

by Fred Attneave - Psychol. Rev , 1954
"... The ideas of information theory are at present stimulating many different areas of psychological inquiry. In providing techniques for quantifying situations which have hitherto been difficult or impossible to quantify, they suggest new and more precise ways of conceptualizing these situations (see M ..."
Abstract - Cited by 643 (2 self) - Add to MetaCart
are highly interdependent in both space and time: if we know at a given moment the states of a limited number of receptors (i.e., whether they are firing or not firing), we can make better-than-chance inferences with respect to the prior and subsequent states of these receptors, and also with respect

Feature detection with automatic scale selection

by Tony Lindeberg - International Journal of Computer Vision , 1998
"... The fact that objects in the world appear in different ways depending on the scale of observation has important implications if one aims at describing them. It shows that the notion of scale is of utmost importance when processing unknown measurement data by automatic methods. In their seminal works ..."
Abstract - Cited by 723 (34 self) - Add to MetaCart
works, Witkin (1983) and Koenderink (1984) proposed to approach this problem by representing image structures at different scales in a so-called scale-space representation. Traditional scale-space theory building on this work, however, does not address the problem of how to select local appropriate

Increasing Returns and Economic Geography

by Paul Krugman - Journal of Political Economy , 1991
"... This paper develops a simple model that shows how a country can endogenously become differentiated into an industrialized "core" and an agricultural "periphery. " In order to realize scale economies while minimizing transport costs, manufacturing firms tend to locate in the regio ..."
Abstract - Cited by 1811 (7 self) - Add to MetaCart
theory. On the face of it, this neglect is surprising. The facts of economic geography are surely among the most striking features of real-world economies, at least to laymen. For example, one of the most remarkable things about the United States is that in a generally sparsely populated country, much

Random Early Detection Gateways for Congestion Avoidance.

by Sally Floyd , Van Jacobson - IEEELACM Transactions on Networking, , 1993
"... Abstract-This paper presents Random Early Detection (RED) gateways for congestion avoidance in packet-switched networks. The gateway detects incipient congestion by computing the average queue size. The gateway could notify connections of congestion either by dropping packets arriving at the gatewa ..."
Abstract - Cited by 2716 (31 self) - Add to MetaCart
. The gateway can reliably distinguish between propagation delay and persistent queueing delay. Only the gateway has a unified view of the queueing behavior over time; the perspective of individual connections is limited by the packet arrival patterns for those connections. In addition, a gateway is shared

Theory for the development of neuron selectivity: orientation specificity and binocular interaction in visual cortex

by Elie L. Bienenstock, Leon N Cooper, Paul W. Munro - J. Neurosci , 1982
"... The development of stimulus selectivity in the primary sensory cortex of higher vertebrates is considered in a general mathematical framework. A synaptic evolution scheme of a new kind is proposed in which incoming patterns rather than converging afferents compete. The change in the efficacy of a gi ..."
Abstract - Cited by 432 (20 self) - Add to MetaCart
The development of stimulus selectivity in the primary sensory cortex of higher vertebrates is considered in a general mathematical framework. A synaptic evolution scheme of a new kind is proposed in which incoming patterns rather than converging afferents compete. The change in the efficacy of a
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