sEMG based silent speech recognition has become a desirable communication modality because it has the potential to provide natural, covert, hands-free communication in acoustically challenging environments. To enable this capability, we have developed a portable, self-contained, Android based Mouthed-speech Understanding and Transcription Engine (MUTE) system. To demonstrate the MUTE system’s a...

In this paper, we introduce $(mathcal{C},mathcal{C}')$-controlled continuous $g$-Bessel families and their multipliers in Hilbert spaces and investigate some of their properties. We show that under some conditions sum of two $(mathcal{C},mathcal{C}')$-controlled continuous $g$-frames is a $(mathcal{C},mathcal{C}')$-controlled continuous $g$-frame. Also, we investigate when a $(mathcal{C},mathca...

These notes introduce the reader to Polish groups|topological groups in which the underlying space is Polish. No background in topological groups is assumed, but I will present the material fairly rapidly and leave quite a lot for the reader to check on his or her own. My main motivation for writing such notes arises from the applications and connections in model theory, where closed subgroups ...

A chaotic self-organizing map can be produced by replacing the linear neural units of the conventional selforganizing map with neural units capable of producing chaos. The introduction of chaos into the selforganizing map is shown to improve the ability of the network to cluster input patterns. output converges to a single non-zero value. As g is increased beyond 0.75 the output begins to oscil...

The continuous growth in the size and use of the Internet is creating difficulties in the search for information. A sophisticated method to organize the layout of the information and assist user navigation is therefore particularly important. In this paper, we evaluate the feasibility of using a self-organizing map (SOM) to mine web log data and provide a visual tool to assist user navigation. ...

Suppose that K and L are simplicial complexes. Recall that a vertex map between these complexes is a function φ : V ert(K) → V ert(L) such that the vertices of a simplex in K map to the vertices of a simplex in L. Given such a φ, we can create a simplicial map f : |K| → |L| by linearly extending φ over each simplex. On the other hand, suppose we have an arbitrary continuous map g : |K| → |L|. T...

Let f be a non-constant and non-linear entire function, g an analytic self-map of C\{0}, and suppose that exp ◦f = g ◦ exp. It is shown that z is in the Julia set of f if and only if e is in the Julia set of g. 1991 Mathematics Subject Classification: 30D05, 58F23

Considering a continuous self-map and the induced endomorphism on homology, we study the eigenvalues and eigenspaces of the latter. Taking a filtration of representations, we define the persistence of the eigenspaces, effectively introducing a hierarchical organization of the map. The algorithm that computes this information for a finite sample is proved to be stable, and to give the correct an...