Superparamagnetic clustering of data.
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Biomedical subjects
Publications and source records attributed to M Blatt.
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We consider two-layered perceptions consisting of N binary input units, K binary hidden units and one binary output unit, in the limit N >> K > or = 1. We prove that the weights of a regular irreducible network are uniquely determined by its input-output map up to some obvious global symmetries. A network is regular if its K weight vectors from the input layer to the K hidden units are linearly independent. A (single layered) perceptron is said to be irreducible if its output depends on every one of its input units; and a two-layered perceptron is irreducible if the K + 1 perceptrons that constitute such network are irreducible. By global symmetries we mean, for instance, permuting the labels of the hidden units. Hence, two irreducible regular two-layered perceptrons that implement the same Boolean function must have the same number of hidden units, and must be composed of equivalent perceptrons.
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A double-blind crossover comparison is reported of the effects of alprazolam and placebo on anxiety and angina in 27 ambulatory outpatients with angina pectoris stabilized on propranolol. Alprazolam was shown to be a safe treatment when combined with propranolol in these patients. Patients receiving alprazolam with propranolol reported more improvement on their targeted symptoms than did patients receiving placebo with propranolol. The side effect most often reported was moderate drowsiness or sedation; no unusual side effects emerged. There was no evidence that alprazolam compromised the patients' response to propranolol.
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