A more general Pandora rule?

A More General Version of the Costa Theorem

In accordance with the Costa theorem, the interference which is independent of the channel input and known non-causally at the transmitter, does not affect the capacity of the Gaussian channel. In some applications, the known interference depends on the input and hence has some information. In this paper, we study the channel with input dependent interference and prove a capacity theorem that n...

The Right to Be Forgotten More Than a Pandora ’ s Box ?

120 2 Abstract: Recently, political voices have stressed the need to introduce a right to be forgotten as new human right. Individuals should have the right to make potentially damaging information disappear after a certain time has elapsed. Such new right, however, can come in conflict with the principle of free speech. Therefore, its scope needs to be evaluated in the light of appropriate dat...

A More General Abc Conjecture

In this note we formulate a conjecture generalizing both the abc conjecture of Masser-Oesterlé and the author’s diophantine conjecture for algebraic points of bounded degree. We also show that the latter conjecture implies the new conjecture. As with most of the author’s conjectures, this new conjecture stems from analogies with Nevanlinna theory. In this particular case the conjecture correspo...

A General Measure of Rule Interestingness

A general concept of majority rule

We develop a general concept of majority rule for finitely many choice alternatives that is consistent with arbitrary binary preference relations, real-valued utility functions, probability distributions over binary preference relations, and random utility representations. The underlying framework is applicable to virtually any type of choice, rating, or ranking data, not just the linear orders...