*"Work is love made visible" - Gibran*

## Doctor of Philosophy Thesis

“Foundations Towards An Integrated Theory Of Intelligence”. In preparation.

Overview: This work lays out new foundations for rigorous computational reasoning about Intelligence, by introducing a new abstraction from Neuroscience onto Theoretical Computer Science and Mathematics. The thesis outlines the ongoing effort of a new attempt at forming a computational theory of Intelligence. In prep.

## In Gradschool:

- “Learning Hierarchical Sparse Representations”, BICA, 2011.

Overview: This paper introduces an elemental building block which combines Dictionary Learning and Dimension Reduction (DRDL). We show how this foundational element can be used to iteratively construct a Hierarchical Sparse Representation (HSR) of a sensory stream. We compare our approach to existing models showing the generality of our simple prescription. We then perform preliminary experiments using this framework, illustrating with the example of an object recognition task using standard datasets. This work introduces the very first steps towards an integrated framework for designing and analyzing various computational tasks from learning to attention to action. The ultimate goal is building a mathematically rigorous, integrated theory of intelligence.

Link to paper on Arxiv

- “Nonextendibility of Mutually Unbiased Bases”. QIP, 2007.

Overview: proving that Mutually Unbiased Bases are inextensible.

Link to PDF

- "Real Mutually Unbiased Bases", 2006.

Overview: We tabulate bounds on the optimal number of mutually unbiased bases in R^d. For most dimensions d, it can be shown with relatively simple methods that either there are no real orthonormal bases that are mutually unbiased or the optimal number is at most either 2 or 3. We discuss the limitations of these methods when applied to all dimensions, shedding some light on the difficulty of obtaining tight bounds for the remaining dimensions that have the form d=16n^2, where n can be any number. We additionally give a simpler, alternative proof that there can be at most d/2+1 real mutually unbiased bases in dimension d instead of invoking the known results on extremal Euclidean line sets by Cameron and Seidel, Delsarte, and Calderbank et al.

Link to paper on Arxiv

## In Undergrad:

- “Adaptive E-Learning Knowledge-Base for Mobile Environments”, AUB ECE-SRC, 2004

Overview: We propose and implement a question answer system with a mobile and web interface. This paper describes the design and implementation of the Adaptive E-Learning Knowledge-Base for Mobile Environments (AKME), a mobile learning system. The goal of this system is to create a knowledge-base and a community of users to facilitate reliable information exchange and to increase knowledge accessibility through the use of wireless ad hoc networks. AKME transforms peer to peer questions and answers into a reliable, accessible, and reusable source of knowledge. To facilitate information retrieval, AKME can be queried with natural language questions.

Link to PDF

- “Turing-Complete Circuits in the Ehrenfeucht-Mycielski Sequence", Technical Report 2004

- “Quantum Computing for Artificial Intelligence”, Technical Report 2003

Overview: We give an introduction to Quantum Algorithm and Heuristics for Artificial Intelligence search and optimization algorithms.

- "Quantum Networking", Technical Report 2003

Overview: We first give a brief overview over quantum computing, quantum key distribution (QKD), a practical architecture that integrates (QKD) in current internet security architectures, and aspects of network security. We introduce the concept of quantum contracts inspired from game theory. Finally, we introduce the basic architecture of the quantum internet and present some protocols.

Link to paper on Arxiv

- “Introduction to Quantum Cellular Automata”, Technical Report 2003

Overview: We provide an introduction to Quantum Cellular Automata.

Link to paper on Arxiv

## Trivia

My Erdos number is 4. (One path is MT - Meera Sitharam - Andrew Vince - Vaclav Chvatal - PE)