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A novel parameter-free differentiable filled function for global optimization. [PDF]
Sci RepThe filled function method is a prominent approach in global optimization, effectively overcoming the limitations of non-global minimizers by successively locating improved local minima. While its implementation is relatively straightforward, algorithmic
Chen G.
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E-B-invexity in E-differentiable mathematical programming
Results in Control and Optimization, 2021 In this paper, a new concept of generalized convexity is introduced for (not necessarily) differentiable optimization problem with E-differentiable functions. Namely, for an E-differentiable function, the concept of E-B-invexity is defined.
Najeeb Abdulaleem
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E-invexity and generalized E-invexity in E-differentiable multiobjective programming [PDF]
ITM Web of Conferences, 2019 In this paper, a new concept of generalized convexity is introduced for not necessarily differentiable vector optimization problems. For an E-differentiable function, the concept of E-invexity is introduced as a generalization of the E-differentiable E ...
Abdulaleem Najeeb
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Surveys in Mathematics and its Applications, 2023 We present a streamlined, slightly modified version, in the two-variable situation, of a beautiful, but not so well known, theory by Bögel, already from the 1930s, on an alternative higher dimensional calculus of real functions, a double calculus, which ...
Patrik Lundström
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A New Parameterless Filled Function Method for Global Optimization
Axioms, 2022 The filled function method is an effective way to solve global optimization problems. However, its effectiveness is greatly affected by the selection of parameters, and the non-continuous or non-differentiable properties of the constructed filled ...
Haiyan Liu +3 more
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Axioms, 2023 Hermite–Hadamard inequality is a double inequality that provides an upper and lower bounds of the mean (integral) of a convex function over a certain interval.
Ibtisam Aldawish +2 more
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Chaotic intermittency with non-differentiable M(x) function
Revista Facultad de Ingeniería Universidad de Antioquia, 2023 One-dimensional maps showing chaotic intermittency with discontinuous reinjection probability density functions are studied. For these maps, the reinjection mechanism possesses two different processes.
Sergio Elaskar +2 more
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Continuous Regular Functions [PDF]
Logical Methods in Computer Science, 2020 Following Chaudhuri, Sankaranarayanan, and Vardi, we say that a function $f:[0,1] \to [0,1]$ is $r$-regular if there is a B\"{u}chi automaton that accepts precisely the set of base $r \in \mathbb{N}$ representations of elements of the graph of $f$.
Alexi Block Gorman +7 more
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IEEE Access, 2022 We present a method based on combining a smooth generalized pinball support vector machine (SVM) and variational autoencoders (VAEs) in chest X-ray (CXR) images.
Wachiraphong Ratiphaphongthon +2 more
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Implications of Non-Differentiable Entropy on a Space-Time Manifold
Entropy, 2015 Assuming that the motions of a complex system structural units take place on continuous, but non-differentiable curves of a space-time manifold, the scale relativity model with arbitrary constant fractal dimension (the hydrodynamic and wave function ...
Maricel Agop +3 more
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