7 citations · 12 across the 5 of their papers we have counts for
5 papers
Finding Numerical Solutions of Diophantine Equations using Ant Colony Optimization
Siby Abraham, Sugata Sanyal, Mukund Sanglikar
The paper attempts to find numerical solutions of Diophantine equations, a challenging problem as there are no general methods to find solutions of such equations. It uses the meta…
Reciprocally induced coevolution: A computational metaphor in Mathematics
Siby Abraham, Sugata Sanyal, Mukund Sanglikar
Natural phenomenon of coevolution is the reciprocally induced evolutionary change between two or more species or population. Though this biological occurrence is a natural fact, th…
A Connectionist Network Approach to Find Numerical Solutions of Diophantine Equations
Siby Abraham, Sugata Sanyal, Mukund Sanglikar
The paper introduces a connectionist network approach to find numerical solutions of Diophantine equations as an attempt to address the famous Hilbert's tenth problem. The proposed…
Steepest Ascent Hill Climbing For A Mathematical Problem
Siby Abraham, Imre Kiss, Sugata Sanyal +1
The paper proposes artificial intelligence technique called hill climbing to find numerical solutions of Diophantine Equations. Such equations are important as they have many appli…
Particle Swarm Optimization Based Diophantine Equation Solver
Siby Abraham, Sugata Sanyal, Mukund Sanglikar
The paper introduces particle swarm optimization as a viable strategy to find numerical solution of Diophantine equation, for which there exists no general method of finding soluti…