On the use of biased-randomized algorithms for solving non-smooth optimization problems [PDF]
Soft constraints are quite common in real-life applications. For example, in freight transportation, the fleet size can be enlarged by outsourcing part of the distribution service and some deliveries to customers can be postponed as well; in inventory ...
Juan A.A. +4 more
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Analysis and Evaluation of the Family of Sign Adaptive Algorithms [PDF]
In this thesis, four novel sign adaptive algorithms proposed by the author were analyzed and evaluated for floating-point arithmetic operations. These four algorithms include Sign Regressor Least Mean Fourth (SRLMF), Sign Regressor Least Mean Mixed-Norm (
Ulla Faiz, Mohammed
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On a Nonsmooth Gauss–Newton Algorithms for Solving Nonlinear Complementarity Problems [PDF]
In this paper, we propose a new version of the generalized damped Gauss–Newton method for solving nonlinear complementarity problems based on the transformation to the nonsmooth equation, which is equivalent to some unconstrained optimization problem ...
Marek J. Śmietański +1 more
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The Optimal Lower Bound for Generators of Invariant Rings without Finite SAGBI Bases with Respect to Any Admissible Order [PDF]
We prove the existence of an invariant ring \textbfC[X_1,...,X_n]^T generated by elements with a total degree of at most 2, which has no finite SAGBI basis with respect to any admissible order. Therefore, 2 is the optimal lower bound for the total degree
Manfred Göbel
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Series acceleration formulas obtained from experimentally discovered hypergeometric recursions [PDF]
In 2010, Kh. Hessami Pilehrood and T. Hessami Pilehrood introduced generating function identities used to obtain series accelerations for values of Dirichlet's $\beta$ function, via the Markov--Wilf--Zeilberger method.
Paul Levrie, John Campbell
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Convergence of some leader election algorithms [PDF]
We start with a set of $n$ players. With some probability $P(n,k)$, we kill $n-k$ players; the other ones stay alive, and we repeat with them. What is the distribution of the number $X_n$ of \emph{phases} (or rounds) before getting only one player?
Svante Janson +2 more
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A note on limits of sequences of binary trees [PDF]
We discuss a notion of convergence for binary trees that is based on subtree sizes. In analogy to recent developments in the theory of graphs, posets and permutations we investigate some general aspects of the topology, such as a characterization of the ...
Rudolf Grübel
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The repetition threshold for binary rich words [PDF]
A word of length $n$ is rich if it contains $n$ nonempty palindromic factors. An infinite word is rich if all of its finite factors are rich. Baranwal and Shallit produced an infinite binary rich word with critical exponent $2+\sqrt{2}/2$ ($\approx 2.707$
James D. Currie +2 more
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Anti-power $j$-fixes of the Thue-Morse word [PDF]
Recently, Fici, Restivo, Silva, and Zamboni introduced the notion of a $k$-anti-power, which is defined as a word of the form $w^{(1)} w^{(2)} \cdots w^{(k)}$, where $w^{(1)}, w^{(2)}, \ldots, w^{(k)}$ are distinct words of the same length.
Marisa Gaetz
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Convergence Rates in the Probabilistic Analysis of Algorithms [PDF]
In this extended abstract a general framework is developed to bound rates of convergence for sequences of random variables as they mainly arise in the analysis of random trees and divide-and-conquer algorithms. The rates of convergence are bounded in the
Neininger, Ralph, Straub, Jasmin
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