Neural network learning dynamics in a path integral framework

A path-integral formalism is proposed for studying the dynamical evolution in time of patterns in an artificial neural network in the presence of noise. An effective cost function is constructed which determines the unique global minimum of the neural network system. The perturbative method discussed also provides a way for determining the storage capacity of the network.Comment: 12 page

Other incarnations of the Gross-Pitaevskii dark soliton

We show that the dark soliton of the Gross-Pitaevskii equation (GPE) that describes the Bose-Einstein condensate (BEC) density of a system of weakly repulsive bosons, also describes that of a system of strongly repulsive hard core bosons at half filling. As a consequence of this, the GPE soliton gets related to the magnetic soliton in an easy-plane ferromagnet, where it describes the square of the in-plane magnetization of the system. These relationships are shown to be useful in understanding various characteristics of solitons in these distinct many-body systems

Auditing Economic Policy in the Light of Obligations on Economic and Social Rights

One of the things we have learned so far is that the realization of human rights, especially economic and social rights, requires resources as well as laws. The availability and use of resources is strongly influenced by the type of economic policies that States Parties implement. This paper considers how concerned citizens might audit economic policies from a human rights perspective, with a particular focus on economic and social rights. It draws on an ongoing project, directed by Radhika Balakrishnan, advised by Diane Elson, and funded by the Ford Foundation, on economic policy and economic and social rights in Mexico and the USA. The project brings together human rights experts and activists who are focussing on economic and social rights, and economists who are critical of the neo-liberal economic policies being pursued by so many governments and international economic policy institutions, such as the IMF and World Bank. (Amartya Sen has called these critical economists ?non-conformist economists?, because they do not conform to the currently dominant forms of economic analysis and policy prescription). These economists share the concerns of the human rights community about poverty, deprivation and inequality; and draw on a range of other approaches to economic policy, including Keynesian, human development and feminist economics approaches. The project aims to audit key economic polices in the two countries in the light of human rights obligations, and the analysis produced by ?non-conformist? economists