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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)

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)

- 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)

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

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

- 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)

- 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)

- Magno Enrique Mendoza Meza, Amit Bhaya, Eugenius Kaszkurewicz, Michel Iskin da Silveira Costa
- Theoretical population biology
- 2005

The stability of predator-prey models, in the context of exploitation of renewable resources, subject to threshold policies (TP) is studied in this paper using the idea of backstepping and control Liapunov functions (CLF) well known in control theory, as well as the concept of virtual equilibria. TPs are defined and analysed for different types of one and… (More)

- Leonardo V. Ferreira, Eugenius Kaszkurewicz, Amit Bhaya
- 2004 IEEE International Joint Conference on…
- 2004

This paper implements support vector machines (SVM) for the discrimination of nonseparable classes using gradient systems with discontinuous righthand sides. The gradient systems are obtained from an exact penalty method applied to the constrained quadratic optimization problems. Global convergence to the solution of the corresponding constrained problems… (More)