Linear algebra for time series of spikes
Andrew Carnell, Daniel R. Richardson · 2005
Abstract. The set of time series of spikes is expanded into a vector space, V, by taking all linear combinations. A definition is then given for an inner product on this vector space. This gives a definition of norm, of distance between time series, and of orthogonality. This also allows us to compute the best approximation to a given time series which can be formed by a linear combination of some given collection of time series. It is shown how this can be applied to a very simple learning or approximation problem. 1