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One of the well-known results demonstrates that the sparsity-based methods such as ℓ1 minimization and greedy methods, are guaranteed to perfectly recover the s-sparse vectors when μ Φ < 1 2 s [6].
We provide a discussion of when random search methods are guaranteed to converge almost surely to a globally optimal system design, as well as a description of desirable features such methods should have in order to yield attractive empirical performance.
As mentioned earlier, for a linear neuron, reverse correlation (RC) methods are guaranteed to produce an unbiased estimate of a neuron's true underlying STRF regardless of the stimulus statistics [36].
MCMC methods are guaranteed to produce chains that converge, given an infinitely long chain; in practice, however, analysts must settle for finitely long chains.
Tree error impacted by evolutionary diameter: Phylogeny estimation is typically studied in the context of a Markov model of sequence evolution; simulations of sequence evolution under these models are used to understand the model conditions that impact accuracy of phylogeny estimation methods, and theoretical results establish conditions under which methods are guaranteed to be accurate.
With the improved Wolfe line search, the global convergence of Dai-Kou type conjugate gradient methods was guaranteed.
Various approaches have been proposed [ 20, 34, 35], but since the range and distribution of network weights is method-dependent, a fair comparison of methods is guaranteed only for individually optimized thresholds, for example, maximized F1 score.
Numerical stability and robustness of the proposed method are guaranteed by an adaptive procedure for progressively relaxing the penalized Heaviside function associated with the formulation of the discrete variational inequality.
The proposed method is guaranteed to find the optimum solution.
Furthermore, for the first time, the proposed method is guaranteed to converge to global optimal settings.
The ADMM method is guaranteed to converge for all values of its penalty parameter ρ[21].
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com