“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.”

Source: Probabilistic Reasoning in Intelligent Systems: Networks of Plausible Inference, 1988, p. 195

Adopted from Wikiquote. Last update June 3, 2021. History

Help us to complete the source, original and additional information

Do you have more details about the quote "When loops are present, the network is no longer singly connected and local propagation schemes will invariably run int…" by Judea Pearl?

Judea Pearl9

Computer scientist 1936

Howard E. Aldrich (1943) American sociologist

Source: Organizations and Environments, 1979, p. 85

“I think of every double-decker loop as another loop towards my death. And that is why I've always thought of the double-decker loop as - each loop as a continuous and individualized search for perfection.”

Timothy Levitch (1970) American actor

The Cruise (1998)

“There is a multilayering of global networks in the key strategic activities that structure and destructure the planet. When these multilayered networks overlap in some node, when there is a node that belongs to different networks, two major consequences follow. First, economies of synergy between these different networks take place in that node: between financial markets and media businesses; or between academic research and technology development and innovation; between politics and media.”

Manuel Castells (1942) Spanish sociologist (b.1942)

The Rise of the Network Society, 1996

“We are beginning to see the entire universe as a holographically interlinked network of energy and information, organically whole and self referential at all scales of its existence. We, and all things in the universe, are non-locally connected with each other and with all other things in ways that are unfettered by the hitherto known limitations of space and time.”

Ervin László (1932) Hungarian musician and philosopher

Source: Cosmos: A Co-creator's Guide to the Whole-World (2010), p. ix.

“The main theme of this report is a particular facet of the general problem of pre-organization in self-organizing systems, namely, the theory and circuitry of information processing networks. One may consider these networks as a special type of parallel computation channels which extract from the set of all possible inputs a particular subset which is deﬁned by the internal structure of the network. The advantage of such operationally deterministic networks in connection with adaptive systems is the obvious reduction in channel capacity of the adaptors, if it is possible to predetermine classes of inputs which are supposed to be meaningful for those interacting with the automaton”

Heinz von Foerster (1911–2002) Austrian American scientist and cybernetician

Von Foerster (1963, p. ii) as cited in Peter M. Asaro (2007). "Heinz von Foerster and the Bio-Computing Movements of the 1960s," http://cybersophe.org/writing/Asaro%20HVF%26BCL.pdf <br class="br">1960s

“Mathematics says the sum value of a network increases as the square of the number of members. In other words, as the number of nodes in a network increases arithmetically, the value of the network increases exponentially. Adding a few more members can dramatically increase the value of the network.”

Kevin Kelly (1952) American author and editor

Out of Control: The New Biology of Machines, Social Systems and the Economic World (1995), New Rules for the New Economy: 10 Radical Strategies for a Connected World (1999)