Visual input, providedby a video camera on a miniature robot, is preprocessed by a set of Gabor filters on 31 nodes of a log-polar retinotopic graph. Unsupervised Hebbianlearning is employed to incrementally build a population of localized overlapping place fields. Place cells serve as basis functions forreinforcement learning. Experimental results for goal-oriented navigation of a mobile robot are presented.

Stimulus arrays are inevitably presented at different positions on the retina in visual tasks, even those that nominally require fixation.

We describe a joint probabilistic model for modeling the contents and inter-connectivity of document collections such as sets of web pages or research paper archives. The model is based on a probabilistic factor decomposition and allows identifying principal topics of the collection as well as authoritative documents within those topics. Furthermore, the relationships between topics is mapped out in order to build a predictive model of link content. Among the many applications of this approach are information retrieval and search, topic identification, query disambiguation, focusedweb crawling, web authoring, and bibliometric analysis.

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We show how a wavelet basis may be adapted to best represent natural images in terms of sparse coefficients. The wavelet basis, which may be either complete or overcomplete, is specified by a small number of spatial functions which are repeated across space and combined in a recursive fashion so as to be self-similar across scale. These functions are adapted to minimize the estimated code length under a model that assumes images are composed of a linear superposition of sparse, independent components. When adapted to natural images, the wavelet bases take on different orientations and they evenly tile the orientation domain, in stark contrast to the standard, non-oriented wavelet bases used in image compression. When the basis set is allowed to be overcomplete, it also yields higher coding efficiency than standard wavelet bases. 1 Introduction The general problem we address here is that of learning efficient codes for representing naturalimages.

It should be stressed that in our model information is coded in the non-stationary rates that underlie the input spike trains. As these rates are not observable, any learning must depends on the observable input spikes that realize those underlying rates.

This leads to a metric MDS algorithm where the desired configuration of points is found via the solution of an eigenproblem rather than through the iterative optimization of the stress objective function. The question of kernel choice is also discussed. 1 Introduction Suppose we are given n objects, and for each pair (i,j) we have a measurement of the "dissimilarity" Oij between the two objects. In multidimensional scaling (MDS) the aim is to place n points in a low dimensional space (usually Euclidean) so that the interpoint distances dij have a particular relationship to the original dissimilarities. In classical scaling we would like the interpoint distances to be equal to the dissimilarities. For example, classical scaling can be used to reconstruct a map of the locations of some cities given the distances between them.

We introduce total wire length as salient complexity measure for an analysis ofthe circuit complexity of sensory processing in biological neural systems and neuromorphic engineering. This new complexity measure is applied to a set of basic computational problems that apparently need to be solved by circuits for translation-and scale-invariant sensory processing. Weexhibit new circuit design strategies for these new benchmark functions that can be implemented within realistic complexity bounds, in particular with linear or almost linear total wire length. 1 Introduction Circuit complexity theory is a classical area of theoretical computer science, that provides estimates for the complexity of circuits for computing specific benchmark functions, such as binary addition, multiplication and sorting (see, e.g.

FaceSync is an optimal linear algorithm that finds the degree of synchronization betweenthe audio and image recordings of a human speaker. Using canonical correlation, it finds the best direction to combine allthe audio and image data, projecting them onto a single axis. FaceSync uses Pearson's correlation to measure the degree of synchronization betweenthe audio and image data. We derive the optimal linear transform to combine the audio and visual information and describe an implementation that avoids the numerical problems caused by computing thecorrelation matrices.

We present a simple sparse greedy technique to approximate the maximum a posteriori estimate of Gaussian Processes with much improved scaling behaviour in the sample size m.