Lecture 10: Pseudorandom Generators (Sep 29, Karn Seth)
... 2. Expanding: |g(x)| = l(|x|), where l(k) > k 3. Psudorandomness: {x ← {0, 1}n : g(x)} is pseudorandom. A first attempt at constructing a PRG was made by Shamir, as follows: Let f be a OWP. Then construct g(s) = f m (s)||f m−1 (s)|| . . . ||f (s)||s. It is easy to see that this function fails the ps ...
... 2. Expanding: |g(x)| = l(|x|), where l(k) > k 3. Psudorandomness: {x ← {0, 1}n : g(x)} is pseudorandom. A first attempt at constructing a PRG was made by Shamir, as follows: Let f be a OWP. Then construct g(s) = f m (s)||f m−1 (s)|| . . . ||f (s)||s. It is easy to see that this function fails the ps ...
Nash Equilibrium with Lower Probabilities
... in mixed strategies. Nevertheless, it is our intuition that many people in the position of player 1, even with a risk attitude as embodied in u, would choose the strategy D. Insofar as we conceive of the players as Bayesian expected utility maximizers this is strange. Player 1 should hold a prior, a ...
... in mixed strategies. Nevertheless, it is our intuition that many people in the position of player 1, even with a risk attitude as embodied in u, would choose the strategy D. Insofar as we conceive of the players as Bayesian expected utility maximizers this is strange. Player 1 should hold a prior, a ...
hidh-dimesion
... Assign all L ‘s variables according to the legalNote: independent encoding of A’s values. of ! (Later we use A linear equation of L, corresponding that factto to set xy,F,G,H, would be unsatisfied if our smallexactly enough for needs). A(x)H, which occurs with probability over the choice o ...
... Assign all L ‘s variables according to the legalNote: independent encoding of A’s values. of ! (Later we use A linear equation of L, corresponding that factto to set xy,F,G,H, would be unsatisfied if our smallexactly enough for needs). A(x)H, which occurs with probability over the choice o ...
Bruno de Finetti and Imprecision
... coherence and of previsions that avoid sure loss, appear at once as generalizations of basic ideas from de Finetti’s theory. In the preface to [42], Walley acknowledges that ‘My view of probabilistic reasoning has been especially influenced by the writings of Terrence Fine, Bruno de Finetti, Jack Goo ...
... coherence and of previsions that avoid sure loss, appear at once as generalizations of basic ideas from de Finetti’s theory. In the preface to [42], Walley acknowledges that ‘My view of probabilistic reasoning has been especially influenced by the writings of Terrence Fine, Bruno de Finetti, Jack Goo ...
How to Make a Difference - Measures of Voting Power Revamped
... That is, the value of a has a bearing on b, but there is no set of parameters such that, given specific values for these parameters, the relation between a and b is a function. Even in this situation, we may formally introduce an parameter as before. The only difference is that this parameter does ...
... That is, the value of a has a bearing on b, but there is no set of parameters such that, given specific values for these parameters, the relation between a and b is a function. Even in this situation, we may formally introduce an parameter as before. The only difference is that this parameter does ...
bsyextra
... QTL Mapping (Gary Churchill) Key Idea: Crossing two inbred lines creates linkage disequilibrium which in turn creates associations and linked segregating QTL QTL ...
... QTL Mapping (Gary Churchill) Key Idea: Crossing two inbred lines creates linkage disequilibrium which in turn creates associations and linked segregating QTL QTL ...