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The year 1514 in science and technology included many events, some of which are listed here. Events. June 13 – Henry Grace à Dieu, at over 1,000 tons the ...
The principle of maximum caliber (MaxCal) or maximum path entropy principle, suggested by E. T. Jaynes, [1] can be considered as a generalization of the principle of maximum entropy. It postulates that the most unbiased probability distribution of paths is the one that maximizes their Shannon entropy. This entropy of paths is sometimes called ...
The probability P A (i + 1|i) follows from the ratio of the number of paths that reach interface i + 1 to the total number of paths in the ensemble. Theoretical considerations show that TIS computations are at least twice as fast as TPS, and computer experiments have shown that the TIS rate constant can converge up to 10 times faster.
Maximal entropy random walk (MERW) is a popular type of biased random walk on a graph, in which transition probabilities are chosen accordingly to the principle of maximum entropy, which says that the probability distribution which best represents the current state of knowledge is the one with largest entropy.
The probabilistic automaton may be defined as an extension of a nondeterministic finite automaton (,,,,), together with two probabilities: the probability of a particular state transition taking place, and with the initial state replaced by a stochastic vector giving the probability of the automaton being in a given initial state.
Seidel's algorithm is an algorithm designed by Raimund Seidel in 1992 for the all-pairs-shortest-path problem for undirected, unweighted, connected graphs. [1] It solves the problem in () expected time for a graph with vertices, where < is the exponent in the complexity () of matrix multiplication.
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for the expected tree size, but for = this gives 1 + 1 + 1 + 1 + ⋯, a divergent series. [ 27 ] For p = 1 2 {\displaystyle p={\tfrac {1}{2}}} , any particular tree with n {\displaystyle n} internal nodes is generated with probability 1 / 2 2 n + 1 {\displaystyle 1/2^{2n+1}} , and the probability that a random tree has this size is this ...