Results 11 to 20 of about 117,870 (310)

Generalized Affine Functions and Generalized Differentials [PDF]

open access: yesJournal of Optimization Theory and Applications, 2012
The article of N. T. H. Linh and J.-P. Penot is a mathematically deep and valuable contribution to the fields of analysis, or (generalized) calculus, and continuous optimization, with a great promise for a better understanding of ``what goes beyond'' of linearity, convexity and differentiability and, then, of optimization problems and their optimality ...
Thi Hong Linh Nguyen, Jean-Paul Penot
openaire   +1 more source

Optimal Control of Differential Inclusions, II: Sweeping

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2020
This paper is devoted to optimal control of dynamical systems governed by differential inclusions with discontinuous velocity mappings. This framework mostly concerns a new class of optimal control problems described by various versions of the socalled ...
B.S. Mordukhovich
doaj   +1 more source

Generalized Differentiable RANSAC

open access: yes2023 IEEE/CVF International Conference on Computer Vision (ICCV), 2023
We propose $\nabla$-RANSAC, a generalized differentiable RANSAC that allows learning the entire randomized robust estimation pipeline. The proposed approach enables the use of relaxation techniques for estimating the gradients in the sampling distribution, which are then propagated through a differentiable solver.
Tong Wei 0002   +4 more
openaire   +2 more sources

New nonlinear model of population growth. [PDF]

open access: yesPLoS ONE, 2017
The model of population growth is revised in this paper. A new model is proposed based on the concept of fractional differentiation that uses the generalized Mittag-Leffler function as kernel of differentiation.
Badr Saad T Alkahtani   +2 more
doaj   +1 more source

A New Class of Fractional Cumulative Residual Entropy - Some Theoretical Results

open access: yesJournal of Telecommunications and Information Technology, 2023
In this paper, by differentiating the entropy’s generating function (i.e., h(t) = R SX̄F tX (x)dx) using a Caputo fractional-order derivative, we derive a generalized non-logarithmic fractional cumulative residual entropy (FCRE).
Slimane Benmahmoud
doaj   +1 more source

Optimal Control of Differential Inclusions, I: Lipschitzian case

open access: yesИзвестия Иркутского государственного университета: Серия "Математика", 2019
We develop the method of discrete approximations to study optimal control problems for differential inclusions by using advanced tools of variational analysis and generalized differentiation.
B.S. Mordukhovich
doaj   +1 more source

Higher accuracy order in differentiation-by-integration

open access: yesMathematical Modelling and Analysis, 2021
In this text explicit forms of several higher precision order kernel functions (to be used in the differentiation-by-integration procedure) are given for several derivative orders.
Andrej Liptaj
doaj   +1 more source

On a Generalized Notion of Differentiability

open access: yesReal Analysis Exchange, 2007
We discuss and compare some generalized types of continuity and differentiability. In particular, we focus on a notion of differentiability based on an integral average, and we establish a link with an approximation procedure by polynomials.
D'ASERO, Salvatore, PATA V, URSINO P.
openaire   +5 more sources

Polynomial tempered distributions

open access: yesKarpatsʹkì Matematičnì Publìkacìï, 2013
In the article polynomial (nonlinear) analogue of tempered Schwartz distributions is constructed. Generalized operation of differentiation in the space of polynomial generalized functions as well as Fourier-Laplace transformation of such distributions ...
S. V. Sharyn
doaj   +1 more source

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