Mathematics and Applied Mathematics
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The famous QR factorization algorithm can be BLAS-3 optimized. Using the Woodbury matrix identity, we implement a block-based Rank-Revealing QR and point out a connection between pivot selection and object detection.
Many strategies in Machine Learning involve the iterative search of a solution space Ω. We begin with an initial solution ω₀ and update ωₙ to minimize an objective function f(x)
There are k! substitution ciphers for an alphabet with k letters—too many for an exhaustive search. With a frequency-based approach adapted to the graph of alphabetic ciphers, we redefine the act of deciphering as a sampling problem suitable for a Metropolis-Hastings random walk. A substitution cipher is thus solvable with