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- Jan C. Wiemer, Thomas Burwick, Werner von Seelen
- Biological Cybernetics
- 2000

We model the stimulus-induced development of the topography of the primary visual cortex. The analysis uses a self-organizing Kohonen model based on high-dimensional coding. It allows us to obtain an arbitrary number of feature maps by defining different operators. Using natural binocular stimuli, we concentrate on discussing the orientation, ocular… (More)

- Thomas Burwick
- Neural Computation
- 2006

Using an oscillatory network model that combines classical network models with phase dynamics, we demonstrate how the superposition catastrophe of pattern recognition may be avoided in the context of phase models. The model is designed to meet two requirements: on and off states should correspond, respectively, to high and low phase velocities, and patterns… (More)

- Thomas Burwick
- Neural Computation
- 2008

Temporal coding is studied for an oscillatory neural network model with synchronization and acceleration. The latter mechanism refers to increasing (decreasing) the phase velocity of each unit for stronger (weaker) or more coherent (decoherent) input from the other units. It has been demonstrated that acceleration generates the desynchronization that is… (More)

- Thomas Burwick, Frank Joublin
- Neural Processing Letters
- 1998

We discuss implementations of the Adaptive Resonance Theory (ART) on a serial machine. The standard formulation of ART, which was inspired by recurrent brain structures, corresponds to a recursive algorithm. This induces an algorithmic complexity of order O(N2)+O(MN) in worst and average case, N being the number of categories, and M the input dimension. It… (More)

The SEWASIE project within the Semantic Web Action Line of the European IST Programme focuses on the question how to assist networks of small and medium enterprises (so-called Integrated Economies) in enhancing their intra-and inter-organisational information management capabilities. While the project also includes novel techniques for semantic enrichment,… (More)

- Thomas Burwick
- Neurocomputing
- 2009

- Thomas Burwick
- Neural Computation
- 2007

Temporal coding is considered with an oscillatory network model that generalizes the Cohen-Grossberg-Hopfield model. It is assumed that the frequency of oscillating units increases with stronger and more coherent input. We refer to this mechanism as acceleration. In the context of Hebbian memory, synchronization and acceleration take complementary roles,… (More)

- Thomas Burwick
- Neurocomputing
- 2008

- T. T. Burwick
- 1992

The two-dimensional theory of gravity describing a graviton-dilaton system is considered. The graviton-dilaton coupling can be fixed such that the quantum theory remains free of the conformal anomaly for any conformal dimension of the coupled matter system, even if the dilaton does not appear as Lagrange multiplier. Interaction terms are introduced and the… (More)

We derive curvature counterterms in two-dimensional gravity coupled to con-formal matter up to infinite order. By construction the higher-order action is equivalent to a finite first-order theory with auxiliary scalar. Due to this equivalence it shares the following remarkable properties: There is no need for gravitational dressing of the cosmological… (More)