6 citations · 8 across the 5 of their papers we have counts for
6 papers
Adaptive Convolution Kernel for Artificial Neural Networks
F. Boray Tek, İlker Çam, Deniz Karlı
Many deep neural networks are built by using stacked convolutional layers of fixed and single size (often 33) kernels. This paper describes a method for training the size o…
Extension of Mikhlin Multiplier Theorem to Fractional Derivatives and Stable Processes
Deniz Karli
In this paper, we prove a new generalized Mikhlin multiplier theorem whose conditions are given with respect to fractional derivatives in integral forms with two different integrat…
A Multiplier Related to Symmetric Stable Processes
Deniz Karli
In two recent papers [5] and [6], we generalized some classical results of Harmonic Analysis using probabilistic approach by means of a d- dimensional rotationally symmetric stable…
Some remarks on uniform boundary Harnack Principles
Martin T. Barlow, Deniz Karli
We prove two versions of a boundary Harnack principle in which the constants do not depend on the domain.
An Extension of a Boundedness Result for Singular Integral Operators
Deniz Karli
In this paper, we study some operators which are originated from classical Littlewood-Paley theory. We consider their modification with respect to our discontinuous setup, where th…
Harnack Inequality and Regularity for a Product of Symmetric Stable Process and Brownian Motion
Deniz Karli
In this paper, we consider a product of a symmetric stable process in and a one-dimensional Brownian motion in . Then we define a class of harmonic fun…