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15 صفحه اولHyperplane Priors
The requirement of transformation invariance of a probability distribution is employed to derive prior probabilities for the coefficients of the equation describing a hyperplane. In two dimensions, this is a straight line, in three dimensions an ordinary plane etc. We treat the general case of n dimensions and propose a procedure to normalize the resulting distributions in order to make them pr...
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The processing performed by a feed-forward neural network is oft en int erpreted through use of decision hyperplanes at each layer. T he adaptation process, however, is normally explained using the picture of gradient descent of an error land scape. In thi s paper t he dynamics of t he decision hyperplanes is used as t he model of the adaptat ion process. An electro-mechanical analogy is drawn ...
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Previous work on program obfuscation gives strong negative results for general-purpose obfuscators, and positive results for obfuscating simple functions such as equality testing (point functions). In this work, we construct an obfuscator for a more complex algebraic functionality: testing for membership in a hyperplane (of constant dimension). We prove the security of the obfuscator under a ne...
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In this article there are two main results. The first result gives a formula, in terms of a log resolution, for the graded pieces of the Hodge filtration on the cohomology of a unitary local system of rank one on the complement of an arbitrary divisor in a smooth projective complex variety. The second result is an application of the first. We give a combinatorial formula for the spectrum of a h...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1996
ISSN: 0022-247X
DOI: 10.1006/jmaa.1996.0252