A real 2n × 2n matrix M is called a symplectic matrix if M T JM = J, where J is the 2n × 2n matrix given by J = ( O In −In O ) and In is the n × n identity matrix. A result on symplectic matrices, generally known as ...

In the past decade, deep learning has been ubiquitous across diverse fields like natural language processing (NLP), computer vision, speech processing, etc. De- spite achieving state-of-the-art performance, there are ...

Multi-view data clustering explores the consistency and complementary properties of different views to uncover the natural groups present in a data set. While multiple views are expected to provide more information for an ...

Image processing with traditional approaches mainly use the tools of linear systems. However, linear approaches are not well suited and may even fail to solve problems involving geometrical aspects of the image. Thus, ...

For a set of geometric objects, the associative geometric intersection graph is the graph with a vertex for each object and an edge between two vertices if and only if the corresponding objects intersect. Geometric ...

In device to device (D2D) communication, two users residing in close proximity candirectly communicate between them, through a common channel, without the needof a base station. A pair of D2D users forms a link and a channel ...

This thesis analyzes three problems where a monopolistic seller is selling to an agent with multidimensional private information. While our understanding of such problems is comprehensive if the agent's private information ...