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The Barzilai-Borwein method [1] is an iterative gradient descent method for unconstrained optimization using either of two step sizes derived from the linear trend of the most recent two iterates.
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Golden-section search conceptually resembles PS in its narrowing of the search range, only for single-dimensional search spaces.; Nelder–Mead method aka. the simplex method conceptually resembles PS in its narrowing of the search range for multi-dimensional search spaces but does so by maintaining n + 1 points for n-dimensional search spaces, whereas PS methods computes 2n + 1 points (the ...
Introduction to Algorithms is a book on computer programming by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, and Clifford Stein.The book is described by its publisher as "the leading algorithms text in universities worldwide as well as the standard reference for professionals". [1]
Algorithms Unlocked is a book by Thomas H. Cormen about the basic principles and applications of computer algorithms. [1] The book consists of ten chapters, and deals with the topics of searching, sorting, basic graph algorithms, string processing, the fundamentals of cryptography and data compression, and an introduction to the theory of computation.
The puzzles in the book cover a wide range of difficulty, and in general do not require more than a high school level of mathematical background. [3] William Gasarch notes that grouping the puzzles only by their difficulty and not by their themes is actually an advantage, as it provides readers with fewer clues about their solutions.
In mathematical optimization, the ellipsoid method is an iterative method for minimizing convex functions over convex sets.The ellipsoid method generates a sequence of ellipsoids whose volume uniformly decreases at every step, thus enclosing a minimizer of a convex function.
Daniel Julius Bernstein (sometimes known as djb; born October 29, 1971, Mandarin name: 狄傑比 [2]) is an American mathematician, cryptologist, and computer scientist.He was a visiting professor at CASA [3] at Ruhr University Bochum until 2024, [4] as well as a research professor of Computer Science at the University of Illinois at Chicago.