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For the Candidate Elimination algorithm this can be exponential.
"Resolution of nested neuronal representations can be exponential in the number of neurons". Physical review letters 109.1 20122): 018103.
Population growth can be exponential because the number of new people (or bugs, or bacteria) being produced at a given time is proportional to the total number of people (bugs, bacteria) around at that time.
First, we show that both objectives are contradictory and that the number of points of the Pareto-front can be exponential.
The runtime analysis of these heuristic algorithms on two 2-SAT instances shows that the expected runtime of these heuristic algorithms can be exponential time or polynomial time.
We demonstrate that even local consistency algorithms like path-consistency (PC) can be exponential on TCSPs due to the fragmentation problem.
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Random graphs are often constructed as if this growth can only be exponential.
Growth of a finitely generated group can be polynomial, exponential or intermediate between polynomial and exponential.
Moreover, the computation of the transitive closure is investigated and it is proved that there can be an exponential blow-up from input to output size.
It can be an exponential form αe −βk.
It can be an exponential form αe −β (E_new−E)/t.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com