A high performance hardware architecture for one bit transform based motion estimation

Motion Estimation (ME) is the most computationally intensive part of video compression and video enhancement systems. One bit transform (IBT) based ME algorithms have low computational complexity. Therefore, in this paper, we propose a high performance systolic hardware architecture for IBT based ME. The proposed hardware performs full search ME for 4 Macroblocks in parallel and it is the fastest IBT based ME hardware reported in the literature. In addition, it uses less on-chip memory than the previous IBT based ME hardware by using a novel data reuse scheme and memory organization. The proposed hardware is implemented in Verilog HDL. It consumes %34 of the slices in a Xilinx XC2VP30-7 FPGA. It works at 115 MHz in the same FPGA and is capable of processing 50 1920x1080 full High Definition frames per second. Therefore, it can be used in consumer electronics products that require real-time video processing or compression

Existence of positive solutions to multi-point third order problems with sign changing nonlinearities

In this paper, the authors examine the existence of positive solutions to a third-order boundary value problem having a sign changing nonlinearity. The proof makes use of fixed point index theory. An example is included to illustrate the applicability of the results

Positive solutions of the p-Laplacian dynamic equations on time scales with sign changing nonlinearity

This article concerns the existence of positive solutions for p-Laplacian boundary value problem on time scales. By applying fixed point index we obtain the existence of solutions. Emphasis is put on the fact that the nonlinear term is allowed to change sign. An example illustrates our results

Eigenvalue problems for singular multi-point dynamic equations on time scales

In this article, we study a singular multi-point dynamic eigenvalue problem on time scales. We find existence of positive solutions by constructing the Green's function and studying its positivity eigenvalue intervals. Two examples are given to illustrate our results

Existence of Countably Many Positive Solutions for Nonlinear Boundary Value Problems on Time Scales

Abstract: In this paper, we consider the existence of countably many positive solutions for nonlinear singular boundary value problem on time scales. By using the fixed-point index theory and a new fixed-point theorem in cones, the sufficient conditions for the existence of countably many positive solutions are established

Triple positive solutions for m-point boundary-value problems of dynamic equations on time scales with p-Laplacian

In this article we study the existence of positive solutions for m-point dynamic equation on time scales with p-Laplacian. We prove that the boundary-value problem has at least three positive solutions by applying the five functionals fixed-point theorem. An example demonstrates the main results

Existence of positive solutions for p-Laplacian an m-point boundary value problem involving the derivative on time scales

We are interested in the existence of positive solutions for the -Laplacian dynamic equation on time scales, $$(\phi_p(u^\Delta(t)))^\nabla+a(t)f(t,u(t),u^\Delta(t))=0,\quad t\in(0,T)_{\mathbb{T}},$$ subject to the multipoint boundary condition, $$u(0)=\sum_{i=1}^{m-2}\alpha_i u(\xi_i), \quad u^\Delta(T)=0,$$ where $\phi_p(s)=|s|^{p-2} s$, $p>1$, $\xi_i\in [0,T]_{\mathbb{T}}$, $0<\xi_1<\xi_2<\dots<\xi_{m-2}<\rho(T)$. By using fixed point theorems, we prove the existence of at least three non-negatvie solutions, two of them positive, to the above boundary value problem. The interesting point is the nonlinear term $f$ is involved with the first order derivative explicitly. An example is given to illustrate the main result

Rethinking Customer Analytics: The Impact of Artificial Intelligence

4th International Conference on Intelligent and Fuzzy Systems (INFUS) -- JUL 19-21, 2022 -- Bornova, TURKEYWith the triggering effect of Covid-19 pandemic, the role of digitalization has become a strategic target and expedited the digital transformation process. World's direction to the digital future has therefore shaped the use of new-age technologies, such as internet of things, artificial intelligence (AI), machine learning and blockchain. In response to this evolvement of new-age technologies, a noticeable shift from data-driven analysis to technology-oriented applications has occurred, particularly addressing the significance of analytics and AI. These rapid advancements of AI applications influence the use of customer analytics whilst enhancing the importance both for the general understanding and individual behavior of customers, within the scope of customer analytics. Considering the embeddedness of these technologies on practical applications, this study acknowledges the high-impact role and power of AI. In this regard, the study concentrates AI applications from the perspectives of customer analytics. Furthermore, the task of AI, the level of intelligence of AI applications and how the information from customer analytics is obtained and exploited by these applications are discussed. Focusing on the practical case applications, the study suggests a taxonomical structure of AI and customer analytics