Results 61 to 70 of about 5,096 (155)
Statistical inference for generative adversarial networks and other minimax problems
Scandinavian Journal of Statistics, Volume 51, Issue 3, Page 1323-1356, September 2024.Abstract This paper studies generative adversarial networks (GANs) from the perspective of statistical inference. A GAN is a popular machine learning method in which the parameters of two neural networks, a generator and a discriminator, are estimated to solve a particular minimax problem. This minimax problem typically has a multitude of solutions and
Mika Meitz
wiley +1 more source
Subharmonic functions and associated measures in ℝn
Open MathematicsFor subharmonic functions ss in Rn,n≥2,{{\mathbb{R}}}^{n},n\ge 2, there is an associated Radon measure μ\mu that is used to represent ss locally as an integral up to an additive harmonic function. We prove that the total measure μ(R2)\mu ({{\mathbb{R}}}^
Bajunaid Ibtesam
doaj +1 more source
Competing effects in fourth‐order aggregation–diffusion equations
Proceedings of the London Mathematical Society, Volume 129, Issue 2, August 2024.Abstract We give sharp conditions for global in time existence of gradient flow solutions to a Cahn–Hilliard‐type equation, with backwards second‐order degenerate diffusion, in any dimension and for general initial data. Our equation is the 2‐Wasserstein gradient flow of a free energy with two competing effects: the Dirichlet energy and the power‐law ...
José Antonio Carrillo +3 more
wiley +1 more source
Delay‐independent conditions of exponential ISS for linear time‐varying delay differential systems
International Journal of Robust and Nonlinear Control, Volume 34, Issue 10, Page 6346-6371, 10 July 2024.Abstract This work focuses on linear continuous‐time systems with time‐varying delays, in the general case of time‐varying matrices. Initially, we explore the case of positive systems within this class and introduce two distinct delay‐independent conditions of exponential input‐to‐state stability. Moreover, we provide guaranteed exponential convergence
Vittorio De Iuliis, Costanzo Manes
wiley +1 more source
Some unsolved problems on meromorphic functions of uniformly bounded characteristic
International Journal of Mathematics and Mathematical Sciences, 1985 The family UBC(R) of meromorphic functions of uniformly bounded characteristic in a Rieman surface R is defined in terms of the Shimizu-Ahlfors characteristic function.
Shinji Yamashita
doaj +1 more source
Solvability of a system of totally characteristic equations related to Kahler metrics
Electronic Journal of Differential Equations, 2017 We consider a system of equations composed of a higher order singular partial differential equation of totally characteristic type and several higher order non-Kowalevskian linear equations. This system is a higher order version of a system that arose
Jose Ernie C. Lope, Mark Philip F. Ona
doaj
A novel algorithm for multiplicative speckle noise reduction in ex vivo human brain OCT images. [PDF]
Neuroimage, 2022 Varadarajan D +5 more
europepmc +1 more source
Wideband Waveform Design for Distributed Precision Jamming. [PDF]
Entropy (Basel), 2023 Zhang K +5 more
europepmc +1 more source
Hybrid Newton-like Inverse Free Algorithms for Solving Nonlinear Equations
AlgorithmsIterative algorithms requiring the computationally expensive in general inversion of linear operators are difficult to implement. This is the reason why hybrid Newton-like algorithms without inverses are developed in this paper to solve Banach space ...
Ioannis K. Argyros +3 more
doaj +1 more source
Solutions of fractional diffusion problems
Electronic Journal of Differential Equations, 2010 Using the concept of majorant functions, we prove the existence and uniqueness of holomorphic solutions to nonlinear fractional diffusion problems. The analytic continuation of these solutions is studied and the singularity for two cases are posed.
Rabha W. Ibrahim
doaj