47 citations · 107 across the 7 of their papers we have counts for
7 papers
Learning with a network of competing synapses
Ajaz Ahmad Bhat, Gaurang Mahajan, Anita Mehta
Competition between synapses arises in some forms of correlation-based plasticity. Here we propose a game theory-inspired model of synaptic interactions whose dynamics is driven by…
Competing synapses with two timescales: a basis for learning and forgetting
Gaurang Mahajan, Anita Mehta
Competitive dynamics are thought to occur in many processes of learning involving synaptic plasticity. Here we show, in a game theory-inspired model of synaptic interactions, that…
Competing with oneself: Introducing self-interaction in a model of competitive learning
Gaurang Mahajan, Anita Mehta
A competitive learning model was introduced in Ref. 1 (A. Mehta and J. M. Luck, Phys. Rev. E 60, 5, 1999), in which the learning is outcome-related. Every individual chooses betwee…
Particle creation in a time-dependent electric field revisited
Gaurang Mahajan
We adopt the general formalism for analyzing evolution of gaussian states of quantized fields in time-dependent backgrounds in the Schrodinger picture (presented in detail in arXiv…
Particle creation, classicality and related issues in quantum field theory: II. Examples from field theory
Gaurang Mahajan, T. Padmanabhan
We adopt the general formalism, which was developed in Paper I (arXiv:0708.1233) to analyze the evolution of a quantized time-dependent oscillator, to address several questions in…
Particle creation, classicality and related issues in quantum field theory: I. Formalism and toy models
Gaurang Mahajan, T. Padmanabhan
The quantum theory of a harmonic oscillator with a time dependent frequency arises in several important physical problems, especially in the study of quantum field theory in an ext…