Ellipti Curve Dis rete Logarithms and Wieferi h Primes

Theory of the GMM Kernel

We 1 develop some theoreti al results for a robust similarity measure named generalized minmax (GMM). This similarity has dire t appli ations in ma hine learning as a positive de nite kernel and an be e iently omputed via probabilisti hashing. Owing to the dis rete nature, the hashed values an also be used for e ient near neighbor sear h. We prove the theoreti al limit of GMM and the onsisten y...

The S ale Fa tor: A New Degree of Freedom in Phase Type Approximation

This paper introdu es a uni ed approa h to phase-type approximation in whi h the dis rete and the ontinuous phase-type models form a ommon model set. The models of this ommon set are assigned with a non-negative real parameter, the s ale fa tor. The ase when the s ale fa tor is stri tly positive results in Dis rete phase-type distributions and the s ale fa tor represents the time elapsed in one...

Feedback Capacity of Discrete Additive Channels

We onsider dis rete hannels with stationary additive noise. We show that output feedba k does not in rease the apa ity of su h hannels. This is shown for both ergodi and non-ergodi additive stationary hannels.

Dis rete Lot { Sizing and Convex

Perturbation Theory for Dis rete VolterraEquations