نتایج جستجو برای: log convex function
تعداد نتایج: 1314863 فیلتر نتایج به سال:
We develop a projected Nesterov’s proximal-gradient (PNPG) approach for sparse signal reconstruction that combines adaptive step size with Nesterov’s momentum acceleration. The objective function that we wish to minimize is the sum of a convex differentiable data-fidelity (negative log-likelihood (NLL)) term and a convex regularization term. We apply sparse signal regularization where the signa...
Abstract In the preset study, we introduce new class of convex fuzzy-interval-valued functions which is called log- h -convex (log- FIVFs) by means fuzzy order relation. We have also investigated some properties FIVFs. Using this class, present Jensen and Hermite–Hadamard inequalities (HH-inequalities). Moreover, useful examples are presented to verify HH-inequalities for Several known special ...
Learning with non-modular losses is an important problem when sets of predictions are made simultaneously. The main tools for constructing convex surrogate loss functions for set prediction are margin rescaling and slack rescaling. In this work, we show that these strategies lead to tight convex surrogates iff the underlying loss function is increasing in the number of incorrect predictions. Ho...
We consider the problem of bounding from above the log-partition function corresponding to second-order Ising models for binary distributions. We introduce a new bound, the cardinality bound, which can be computed via convex optimization. The corresponding error on the logpartition function is bounded above by twice the distance, in model parameter space, to a class of “standard” Ising models, ...
Given a semi-convex potential V on convex and bounded domain Ω, we consider the Jordan–Kinderlehrer–Otto scheme for Fokker–Planck equation with V, which defines, fixed time step τ>0, sequence of densities ρk∈P(Ω). Supposing that is α-convex, i.e. D2V≥αI, prove Lipschitz constant logρ+V satisfies following inequality: Lip(log(ρk+1)+V)(1+ατ)≤Lip(log(ρk)+V). This provides exponential decay if α>0,...
We prove that the (B) conjecture and Gardner–Zvavitch are true for all log-concave measures rotationally invariant, extending previous results known Gaussian measures. Actually, our result apply beyond case of measures, instance, to Cauchy as well. For proof, new sharp weighted Poincaré inequalities obtained even probability with respect a invariant measure.
We establish formulae for the derivative of Poincar\'e constant Gibbs measures on both compact domains and all $\R^d$. As an application, we show that if (not necessarily convex) Hamiltonian is increasing function, then strictly decreasing in inverse temperature, vice versa. Applying this result to $O(2)$ model allows us give a sharpened upper bound its constant. further exhibits qualitatively ...
Research on underwater robots is attracting increased attention around the world. Various kinds of underwater robots have been developed, using an assortment of shapes, sizes, weights, and propulsion methods. In this paper, we propose a novel underwater robot, employing a spherical hull and equipped with multiple vectored water-jet-based thrusters. The overall design of the robot is first intro...
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