
Matlab
 Referenced in 13100 articles
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 Using MATLAB, you can analyze data, develop algorithms, and create models and applications. The language...

OEIS
 Referenced in 4006 articles
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 what you think may be a new algorithm for checking that a file of medical ... records, your algorithm takes 0, 1, 3, 5, 9, 11, 14, 17, 25, ... steps ... check if someone has discovered this algorithm before? You decide to ask the OEIS ... sorting by list merging”, a wellknown algorithm. The entry directs you to Section...

Mathematica
 Referenced in 6235 articles
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 engineering textbooks, to developing embedded imagerecognition algorithms or teaching calculus. Mathematica is renowned...

UCIml
 Referenced in 3266 articles
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 empirical analysis of machine learning algorithms. The archive was created as an ftp archive...

GAP
 Referenced in 3068 articles
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 library of thousands of functions implementing algebraic algorithms written in the GAP language as well...

Macaulay2
 Referenced in 1841 articles
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 Science Foundation since 1992. Macaulay2 includes core algorithms for computing Gröbner bases and graded ... rings with a monomial ordering. The core algorithms are accessible through a versatile high level...

SINGULAR
 Referenced in 1472 articles
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 standard bases, including e.g. Buchberger’s algorithm and Mora’s Tangent Cone algorithm. Furthermore...

mctoolbox
 Referenced in 1462 articles
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 book Accuracy and Stability of Numerical Algorithms (SIAM, Second edition, August ... underlying mathematics and many of the algorithms and matrices (it also describes many...

Coq
 Referenced in 1856 articles
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 formal language to write mathematical definitions, executable algorithms and theorems together with an environment...

LAPACK
 Referenced in 1677 articles
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 LAPACK addresses this problem by reorganizing the algorithms to use block matrix operations, such...

LMI toolbox
 Referenced in 1449 articles
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 significantly faster than classical convex optimization algorithms, it should be kept in mind that...

PETSc
 Referenced in 1442 articles
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 power of the PETSc design and the algorithms it incorporates may make the efﬁcient implementation...

LBFGS
 Referenced in 778 articles
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 Algorithm 778: LBFGSB Fortran subroutines for largescale boundconstrained optimization. LBFGS ... limitedmemory algorithm for solving large nonlinear optimization problems subject to simple bounds ... this case performs similarly to its predecessor, algorithm LBFGS (Harwell routine VA15). The algorithm...

FreeFem++
 Referenced in 1246 articles
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 fast 2^dtreebased interpolation algorithm and a language for the manipulation of data...

KELLEY
 Referenced in 628 articles
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 complete generality and confine our scope to algorithms that are easy to implement ... used to demonstrate the behavior of optimization algorithms. Chapter 7 introduces implicit filtering, a technique ... noise level in the function. Direct search algorithms, including the NelderMead, multidirectional search ... HookeJeves algorithms are discussed in Chapter 8. Again, the latter two chapters conclude with...

Genocop
 Referenced in 1092 articles
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 Genocop, by Zbigniew Michalewicz, is a genetic algorithmbased program for constrained and unconstrained optimization...

mftoolbox
 Referenced in 574 articles
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 contains implementations of many of the algorithms described in the book. The book ... intended to facilitate understanding of the algorithms through MATLAB experiments, to be useful for research ... plain vanilla” versions; they contain the core algorithmic aspects with a minimum of inessential code ... progress of an iteration. For the iterative algorithms a convergence tolerance is hardcoded...

VRP
 Referenced in 1060 articles
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 many different variants of the problem, alternative algorithms and techniques for solving it, some well...

DIMACS
 Referenced in 551 articles
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 Implementation Challenges address questions of determining realistic algorithm performance where worst case analysis is overly ... unrealistic: experimentation can provide guides to realistic algorithm performance where analysis fails. Experimentation also brings ... algorithmic questions closer to the original problems that motivated theoretical work. It also tests many ... methods of testing and comparing performance of algorithms. And it is a step in technology...

Adam
 Referenced in 615 articles
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 Stochastic Optimization. We introduce Adam, an algorithm for firstorder gradientbased optimization of stochastic ... require little tuning. Some connections to related algorithms, on which Adam was inspired, are discussed ... analyze the theoretical convergence properties of the algorithm and provide a regret bound...