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Tara2
Posted: Thursday, April 8, 2021 4:55:28 AM

Rank: Advanced Member

Joined: 11/8/2017
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Can you please explain 'Underlying'?

The general style of work in this field is more or less as follows. First, problems of significance in practical distributed computing are identified, and abstract versions of these problems, suitable for mathematical study, are defined. Then, algorithms that solve the problems are developed. These are described precisely and proved to solve the stated problems, and their complexity, according to various measures, is analyzed. Designers of such algorithms typically try to minimize their complexity. Also, impossibility results and lower bounds are proved, demonstrating limitations on what problems can be solved and with what costs. Underlying all of this work are mathematical models for distributed systems.
thar
Posted: Thursday, April 8, 2021 5:38:35 AM

Rank: Advanced Member

Joined: 7/8/2010
Posts: 24,024
Neurons: 97,376
Literally lying underneath it.

Ie all this work on algorithms is built on a foundation of mathematical models.


The algorithms are the roof, but they are built on the underlying mathematical models - without them, the algorithms would not exist, or would be weak and not useful.


eg this is a visualisation of how machine learning is built on underlying mathematical processes. These processes underlie machine learning.




Tara2
Posted: Thursday, April 8, 2021 5:53:43 AM

Rank: Advanced Member

Joined: 11/8/2017
Posts: 3,553
Neurons: 13,045
Many thanks for the great explanation. Whistle Whistle
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