Results 21 to 30 of about 188,818 (285)
Modified Backpropagation Algorithm with Multiplicative Calculus in Neural Networks
Elektronika ir Elektrotechnika, 2023 Backpropagation is one of the most widely used algorithms for training feedforward deep neural networks. The algorithm requires a differentiable activation function and it performs computations of the gradient proceeding backwards through the feedforward
Serkan Ozbay
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The Consistency and Complexity of Multiplicative Additive System Virtual [PDF]
Scientific Annals of Computer Science, 2015 This paper investigates the proof theory of multiplicative additive system virtual (MAV). MAV combines two established proof calculi: multiplicative additive linear logic (MALL) and basic system virtual (BV).
R. Horne
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A New Type of Sturm-Liouville Equation in the Non-Newtonian Calculus
Journal of Function Spaces, 2021 In mathematical physics (such as the one-dimensional time-independent Schrödinger equation), Sturm-Liouville problems occur very frequently. We construct, with a different perspective, a Sturm-Liouville problem in multiplicative calculus by some ...
Sertac Goktas
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Fractional Maclaurin-Type Inequalities for Multiplicatively Convex Functions
Fractal and Fractional, 2023 This paper’s major goal is to prove some symmetrical Maclaurin-type integral inequalities inside the framework of multiplicative calculus. In order to accomplish this and after giving some basic tools, we have established a new integral identity.
Meriem Merad +3 more
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The Runge–Kutta method in geometric multiplicative calculus [PDF]
LMS Journal of Computation and Mathematics, 2015 This paper illuminates the derivation, applicability, and efficiency of the multiplicative Runge–Kutta method, derived in the framework of geometric multiplicative calculus. The removal of the restrictions of geometric multiplicative calculus on positive-valued functions of real variables and the fact that the multiplicative derivative does not exist ...
Mustafa Riza, Hatice Aktöre
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Higher moments for random multiplicative measures [PDF]
, 2015 We obtain a condition for the Lq-convergence of martingales generated by random multiplicative cascade measures for q>1 without any self-similarity requirements on the cascades.Peer ...
Falconer, Kenneth John, K. J. Falconer
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Hermite-Hadamard type inequalities for multiplicatively p-convex functions
Journal of Inequalities and Applications, 2023 In this paper, we introduced the concept of multiplicatively p-convex functions and established Hermite-Hadamard type integral inequalities in the setting of multiplicative calculus for this newly created class of functions.
Serap Özcan
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The Discriminating Power of Multiplicities in theλ-Calculus
Information and Computation, 1996 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gérard Boudol, Cosimo Laneve
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Time-scale analysis of abrupt changes corrupted by multiplicative noise [PDF]
, 2000 Multiplicative Abrupt Changes (ACs) have been considered in many applications. These applications include image processing (speckle) and random communication models (fading).
Chabert, Marie +5 more
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lambda-calculus, multiplicities, and the pi-calculus.
, 1995 In this paper we study the semantics of the $\lambda$-calculus induced by Milner's encoding into the $\pi$-calculus. We show that the resulting may testing preorder on $\lambda$-terms coincides with the inclusion of Lévy-Longo trees. To establish this result, we use a refinement of the $\lambda$-calculus where the argument of a function may be of ...
Boudol, Gérard, Laneve, Cosimo
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