Search Results

While reading this paper I've noticed that they use what they call negative dice coefficient. … Consequently, a penalty to be added to the overall loss function can be defined by setting $1-\text{dice}$ as $\text{dice} \in [0,1]$. …

I've been diving into segmentation tasks and came across two variations of the Dice Loss that I'm considering for my neural network: the standard Dice Loss and the Squared Dice Loss. … the loss is: $$ \text{Dice Loss} = 1 - \text{Dice Coefficient} $$ The Squared Dice Loss on the other hand is: $$ \text{Squared Dice Coefficient} = \frac{2 \times \text{intersection} + \text{smooth}}{\text …

A game is played with $n$ dice, and an additional parameter $r<=6$. The game has one player who must throw all $n$ dice on each round and add the score to the total. … On each round, the $n$ dice are thrown and the sum of the dice is added to the player's total score. If the number on every dice is no larger than $r$, the game ends at the current total score. …

I have 6-sided dice. When rolled, I count one success per dice if the number on the dice is 5 or more. … for each dice, I have a probability of 1/3, but what's the probability of having at least 1 success when rolling n dice at a time? …

I got the following question on non-transitive dice, as shown in the following picture. Suppose you roll two white dice against two red dice. … What is the probability that the sum of the white dice is greater than the sum of the red dice? And the answer is as follows. …

If I roll a 6-sided die x times (or roll x 6-sided dice at once), what is the probability that the sum of the result is greater than another y rolls (or one roll of y dice)? …

The six dice are thrown together 64 times and the frequencies of the throws with 0, 1, 2,..., 6 successes are summed over all six pairs are as follows: Success: 0 1 2 3 4 5 6 Frequency … : 0 4 19 15 17 7 2 (a)What would be the theoretical probability of success and the mean and variance of the above frequency distribution is all the dice were fair? …

I want to play a game which uses one 10-faces dice, but I only have 6-faces "classic" dices at my disposal. … Is it possible to approximately recover, to an arbitrary precision, a 10-faces dice probability distribution using N classic 6-faces dices and clever algorithm ? …

There's a game called Cthulhutech which has a dice-based problem resolution system. … The first part is simple: The result of a roll is (initially), the highest of all dice. …

What is the formulation for the Dice loss with multiple categories. I know this is the Dice loss for binary classes. $L_{Dice} = -\frac{2 \sum_i p_{ij} y_{ij}}{\sum_i p_{ij} + \sum_i y_{ij}}$ …

The one that has higher value, receives a number of points equal to the difference of the values on both dice. …

To play the game, everyone stands up and the teacher rolls the dice. If any number other than a 5 is rolled in the first round, 100 points are scored. … The dice is rolled again for round two, and if it is any number other than a 5, they score 200 more points (round three: 300 points, round four: 400 points, etc). …

If I roll 4 dice, the chance of having at least one success is about 70% (binomial distribution for 4 dice). Say I'm rolling 4 dice, and then I'm rolling another 4 dice. … Statistically, this is the same as rolling 8 dice, right? Therefore, I can apply the binomial distribution to 8 dice. The chance of 5 or more successes in 8 dice is about 3%. …

$A$ and $B$ play a dice game where a player wins if their score is higher. $B$ wins if their score is equal. … What is the probability of $A$ winning if both the players roll their dice $n$ times and choose their best scores (out of their $n$ throws)? …

I got the following quiz asked at the interview: a fair dice is rolled infinitelly; what is the expectation of the rolling iteration I, at which one gets two sixs in a row? …