How to Encrypt with the LPN Problem
... Sibert [13] then showed a simple man-in-the-middle attack against HB+ . This triggered many trials to modify and protect HB+ against man-in-the-middle attacks [7,9,26] but these three proposals were recently broken [11]. The subsequent proposal HB# [12] is the only one to be provably secure against ...
... Sibert [13] then showed a simple man-in-the-middle attack against HB+ . This triggered many trials to modify and protect HB+ against man-in-the-middle attacks [7,9,26] but these three proposals were recently broken [11]. The subsequent proposal HB# [12] is the only one to be provably secure against ...
Introduction to variance reduction methods 1 Control
... It is natural to use the following strata for G : either G ≤ d = log(K/λ) σ variance of the stratum G ≤ d is equal to zero, so if you follow the optimal choice of number, you do not have to simulate points in this stratum : all points have to be sampled in the stratum G ≥ d! This can be easily done ...
... It is natural to use the following strata for G : either G ≤ d = log(K/λ) σ variance of the stratum G ≤ d is equal to zero, so if you follow the optimal choice of number, you do not have to simulate points in this stratum : all points have to be sampled in the stratum G ≥ d! This can be easily done ...
Simple random sampling with over-replacement
... position. Indeed, for random sampling without replacement, the finite population correction factor is (N n)/(N 1) and for simple random sampling with over-replacement, the over-replacement correction factor is (N+ n)/(N+1). Simple random sampling with over-replacement is interesting because it sho ...
... position. Indeed, for random sampling without replacement, the finite population correction factor is (N n)/(N 1) and for simple random sampling with over-replacement, the over-replacement correction factor is (N+ n)/(N+1). Simple random sampling with over-replacement is interesting because it sho ...
Heap Sort
... to know what to do when a collision occurs; i.e. during an insert operation; What if the array slot is already occupied? ► Most common policy: go to the next available slot ► “wrap ...
... to know what to do when a collision occurs; i.e. during an insert operation; What if the array slot is already occupied? ► Most common policy: go to the next available slot ► “wrap ...
Correlated Random Variables in Probabilistic Simulation
... simulations (tens), where the number of combinations is rather limited. Second task is to introduce prescribed statistical correlation between random variables defined by correlation matrix. Columns in Table 1 should be rearranged in such way to fulfill these two requirements: to diminish undesired ...
... simulations (tens), where the number of combinations is rather limited. Second task is to introduce prescribed statistical correlation between random variables defined by correlation matrix. Columns in Table 1 should be rearranged in such way to fulfill these two requirements: to diminish undesired ...
REVISITING THE INVERSE FIELD OF VALUES PROBLEM
... Following Uhlig, we shall use the acronym “FOV” for “field of values”. The inverse FOV (iFOV) problem attracted the attention of several authors, e.g., of Carden [2] and Meurant [10], and different methods of solution have been proposed. A new method that is simpler and faster than the existing ones ...
... Following Uhlig, we shall use the acronym “FOV” for “field of values”. The inverse FOV (iFOV) problem attracted the attention of several authors, e.g., of Carden [2] and Meurant [10], and different methods of solution have been proposed. A new method that is simpler and faster than the existing ones ...
1 Gambler`s Ruin Problem
... fortune of $N , without first getting ruined (running out of money). If the gambler succeeds, then the gambler is said to win the game. In any case, the gambler stops playing after winning or getting ruined, whichever happens first. There is nothing special about starting with $1, more generally the ...
... fortune of $N , without first getting ruined (running out of money). If the gambler succeeds, then the gambler is said to win the game. In any case, the gambler stops playing after winning or getting ruined, whichever happens first. There is nothing special about starting with $1, more generally the ...
The simple Galton-Watson process: Classical approach
... The simplest version of a population size model which sets out at the level of individuals may be informally described as follows: All individuals behave independently and have equally distributed random lifetimes and random numbers of children (offspring). In other words, if an individual v has lif ...
... The simplest version of a population size model which sets out at the level of individuals may be informally described as follows: All individuals behave independently and have equally distributed random lifetimes and random numbers of children (offspring). In other words, if an individual v has lif ...
Fisher–Yates shuffle
The Fisher–Yates shuffle (named after Ronald Fisher and Frank Yates), also known as the Knuth shuffle (after Donald Knuth), is an algorithm for generating a random permutation of a finite set—in plain terms, for randomly shuffling the set. A variant of the Fisher–Yates shuffle, known as Sattolo's algorithm, may be used to generate random cyclic permutations of length n instead. The Fisher–Yates shuffle is unbiased, so that every permutation is equally likely. The modern version of the algorithm is also rather efficient, requiring only time proportional to the number of items being shuffled and no additional storage space.Fisher–Yates shuffling is similar to randomly picking numbered tickets (combinatorics: distinguishable objects) out of a hat without replacement until there are none left.