A higher order Hopfield network for vector quantisation

A higher order version of the Hopfield neural network is presented which will perform a simple vector quantisation or clustering function. This model requires no penalty terms to impose constraints in the Hopfield energy, in contrast to the usual one where the energy involves only terms quadratic in the state vector. The energy function is shown to have no local minima within the unit hypercube of the state vector so the network only converges to valid final states. Optimisation trials show that the network can consistently find optimal clusterings for small, trial problems and near optimal ones for a large data set consisting of the intensity values from the digitised, grey-level image.

Issues in delivering multimedia content to mobile devices

The scalability of a computer system is its response to growth. It is also depended on its hardware, its operating system and the applications it is running. Most distributed systems technology today still depends on bus-based shared memory which do not scale well, and systems based on the grid or hypercube scheme requires significantly less connections than a full inter-connection that would exhibit a quadratic growth rate. The rapid convergence of mobile communication, digital broadcasting and network infrastructures calls for rich multimedia content that is adaptive and responsive to the needs of individuals, businesses and the public organisations. This paper will discuss the emergence of mobile Multimedia systems and provides an overview of the issues regarding design and delivery of multimedia content to mobile devices.