When loops are present, the network is no longer singly connected and local propagation schemes will invariably run into trouble.. If we ignore the existence of loops and permit the nodes to continue communicating with each other as if the network were singly connected, messages may circulate indefinitely around the loops and process may not converges to a stable equilibrium... Such oscillations do not normally occur in probabilistic networks... which tend to bring all messages to some stable equilibrium as time goes on. However, this asymptotic equilibrium is not coherent, in the sense that it does not represent the posterior probabilities of all nodes of the network.
Judea PearlRelated topics
communicating continue equilibrium longer network posterior present propagation run sense stable troubleRelated quotes
My own views began to change before the next Nazi move, the occupation of Austria in [March] 1938.... No longer was it possible for me to believe that Nazism was a temporary aberration in German politics, that the good sense of the German people would soon take care of the Fuehrer, and that the greater danger to peace was French over-reaction to Hitler's moves, with the United Kingdom supporting such reaction. This feeling was replaced by the fear of aggressive war brought about by the policy of a German regime which now must be considered as evil and savage and an immediate menace to freedom and to peace. This regime could not be allowed to triumph in Europe, for its triumph would be a threat to free men everywhere.
Lester B. Pearson
The world of experience, both physical and psychic, is entirely composed of elements - spatial, tactile, accoustical, thermal, etc. Combinations of these elements make up different "phenomena", both psychic and physical. If the law of causality, inferred for all these phenomena - i. e. for the world of elements connected by various relations - is applicable to "things in themselves" serving as an immediate link between "phenomena" and "things", it is clear that "phenomena" and "things in themselves" are of the same nature. "Things in themselves" would then represent a direct continuation of the world of empirical elements and in fact would be only combinations of elements.
Alexander Bogdanov
China, up to 50 years ago, was completely non-homogenous, being compartmented into groups divided against each other. The war-making tendency was almost non-existent, as they still followed the tenets of the Confucian ideal of pacifist culture. At the turn of the century, under the regime of Chang Tso Lin, efforts toward greater homogeneity produced the start of a nationalist urge. This was further and more successfully developed under the leadership of Chiang Kai-Shek, but has been brought to its greatest fruition under the present regime to the point that it has now taken on the character of a united nationalism of increasingly dominant, aggressive tendencies.
Douglas MacArthur
As you all know, ever since the end of the war Britain has been working against time. We must find a way to stand on our own feet, and that very soon. Since the end of the war, too, our reserves have been small. This means that any alteration in world trade conditions, any failure to produce and sell enough goods must land us in serious trouble... I would like every one of you, whether employer or employed, to start right away to consider how in your particular job you can increase and cheapen production, how you can check absenteeism and get the kind of public opinion in factory, mine, railway, or other workplace which will bring the person who is slacking up to the mark.
Clement Attlee
Well, I'd say, and this is probably a change from what I would have said when I was younger: Have a very healthy respect for the study of economic history, because that's the raw material out of which any of your conjectures or testings will come. And I think the recent period has illustrated that. The governor of the Bank of England seems to have forgotten or not known that there was no bank insurance in England, so when Northern Rock got a run, he was surprised. Well, he shouldn't have been.
But history doesn't tell its own story. You've got to bring to it all the statistical testings that are possible. And we have a lot more information now than we used to.
Paul Samuelson