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PhD Thesis



I received PhD degree in Computer Science entitled “Finding Numerical Solution to a Diophantine Equation: Hard Computing versus Soft Computing” from University of Mumbai, India. My PhD thesis explores different hard computing and soft computing techniques like Genetic Algorithm, Neural Network, Particle Swarm Optimization, Ant Colony Optimization, Hill Climbing, A* search, Simulated Annealing, etc, to find numerical solution to a general Diophantine equation, for which there does not exist any known method. The work further proposes the requirement of a holistic approach of computing involving both Hard Computing and Soft Computing in the realm of Artificial Intelligence.
The following is an excerpt from the introduction of my thesis:
“..This thesis is an attempt to look at the effectiveness of hard and soft computing techniques in an impassioned and objective way. Each of the techniques chosen is allowed to behave as a standalone technique and is evaluated based on its performance. The attempt to exhibit the inherent strengths and weaknesses of each of the technique is facilitated by engaging a challenging Mathematical problem. The choice of a Mathematical problem, not engineering or a real world problem, is deliberate as we believe a Mathematical problem is all pervasive, all prevalent and universally true unlike the other two…”






