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- Amit Bhaya, Eugenius Kaszkurewicz
- Neural Networks
- 2004

It is pointed out that the so called momentum method, much used in the neural network literature as an acceleration of the backpropagation method, is a stationary version of the conjugate gradient method. Connections with the continuous optimization method known as heavy ball with friction are also made. In both cases, adaptive (dynamic) choices of the so… (More)

- Jayadeva, Sameena Shah, Amit Bhaya, Ravi Kothari, Suresh Chandra
- Swarm Intelligence
- 2013

In the most basic application of Ant Colony Optimization (ACO), a set of artificial ants find the shortest path between a source and a destination. Ants deposit pheromone on paths they take, preferring paths that have more pheromone on them. Since shorter paths are traversed faster, more pheromone accumulates on them in a given time, attracting more ants… (More)

It is shown how standard iterative methods for solving linear and nonlinear equations can be approached from the point of view of control. Appropriate choices of control Liapunov functions lead to both continuous and discrete-time versions of the well known Newton-Raphson and conjugate gradient algorithms as well as their common variants. Insights into… (More)

- Yangfeng Su, Amit Bhaya
- IEEE Trans. Signal Processing
- 1998

- Yangfeng Su, Amit Bhaya
- SIAM J. Matrix Analysis Applications
- 2001

- Benjamín Barán, Eugenius Kaszkurewicz, Amit Bhaya
- IEEE Trans. Parallel Distrib. Syst.
- 1996

This paper formalizes a general technique to combine different methods in the solution of large systems of nonlinear equations using parallel asynchronous implementations on distributed-memory multiprocessor systems. Such combinations of methods, referred to as Team Algorithms, are evaluated as a way of obtaining desirable properties of different methods… (More)

- Ricardo Linden, Amit Bhaya
- Biosystems
- 2007

This paper develops an algorithm that extracts explanatory rules from microarray data, which we treat as time series, using genetic programming (GP) and fuzzy logic. Reverse polish notation is used (RPN) to describe the rules and to facilitate the GP approach. The algorithm also allows for the insertion of prior knowledge, making it possible to find sets of… (More)

- Leonardo V. Ferreira, Eugenius Kaszkurewicz, Amit Bhaya
- IEEE Transactions on Neural Networks
- 2005

A gradient system with discontinuous righthand side that solves an underdetermined system of linear equations in the L/sub 1/ norm is presented. An upper bound estimate for finite time convergence to a solution set of the system of linear equations is shown by means of the Persidskii form of the gradient system and the corresponding nonsmooth diagonal type… (More)

- Amit Bhaya, Eugenius Kaszkurewicz, Victor S. Kozyakin
- ISCAS
- 1995

It is shown that the assumption of D-stability of the interconnection matrix, together with the standard assumptions on the activation functions, guarantee the existence of a unique equilibrium under a synchronous mode of operation as well as a class of asynchronous modes. For the synchronous mode, these assumptions are also shown to imply local asymptotic… (More)

- Amit Bhaya, Eugenius Kaszkurewicz
- IEEE Trans. Automat. Contr.
- 2007