It is well known that the repeated square and multiply algorithm is an efficient way of modular exponentiation. The obvious question to ask is if this algorithm has an inverse which would calculate the discrete logarithm and what is its time compexity. The technical hitch is in fixing the ...
This is illustrated by the well known SPA attack on the square and multiply algorithm for binary expansion in RSA. Here, if the binary value in the exponent is 0, the value is squared and if it is a 1 then the value is squared and multiplied. Viewing this on a single trace it is ...
Solving the Mystic Square N-Tile Puzzle or Sliding-Tile Puzzle Using A* Algorithm and Genetic Algorithm - Mabdou11/MysticSquare
sets, it is necessary to sum the sizes of these setsseparately, and then subtract the sizes of allpairwiseintersections of the sets, then add back the size of the intersections oftriplesof the sets, subtract the size ofquadruplesof the sets, and so on, up to the intersection ofallsets....
Algorithm 2 implements Eq. (19) without storing any matrices in the computer’s memory. It requires O(n) memory and runs in O(nlogn) time, where n=2⌈log2(M+N−1)⌉. There is an alternative version of the algorithm that uses ToeplitzMultiplyP instead of ToeplitzMultiplyE on line...
The incremental computation algorithm is noticeably faster on the GPU and CPU than looking up coefficients in a table. While GPU performance highly depends on the capabilities of the hardware, the GPU vendor, the driver version, and the operating system version, we can conservatively say t...
摘要:Recently, a so-called E-MS algorithm was developed for model selection in the presence of missing data. Specifically, it performs the Expectation step (E step) and Model Selection step (MS step) alternately to find the minimum point of the observed generalized information criteria (GIC)....
The original algorithm and the scaled-up version require a method for calculating the similarity between two sequences; in this work, we utilize identity scores. We could use the Needleman-Wunsch global alignment algorithm for calculating identity scores; however, this algorithm is quadratic and will...
Ultimately, he devised a new, more efficientalgorithmthan mathematicians had been using up to this point. "It probably looks like I've made things a lot more complicated," he explained in the video, as he wrote out calculations on a big brown sheet of paper. ...
This is also the first algorithm for tensor completion that works in the overcomplete case when r>n, and in fact it works all the way up to r=n3/2−ϵ. Our proofs are short and simple and are based on establishing a new connection between noisy tensor completion (through the ...