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On Generative Adversarial Networks (GANs)
In this post, we talk about Generative Adversarial Networks (GANs) which are a pair of neural networks designed to compete with each other in a game…
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Probability and Statistics
On the Stochastic Gradient Descent Algorithm (SGDA)
In this post, I shall talk about the well-known SGDA. It is an algorithm which provides an iterative procedure to locate solutions of an optimization…
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Probability and Statistics
1
Problem 7:
Suppose you pick 10 points uniformly at random from a square of side 3 units. What is the probability that there exists at least 2 points which are at a…
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Probability and Statistics
Problem 6:
Let X be a continuous random variable whose probability density function (PDF) is symmetric about 0. Can we say that the mean of X is 0?
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Probability and Statistics
Problem 5:
Suppose X is a continuous random variable with probability density function (PDF) given by f(x)=c/x², for x>1. Does the mean of X exist?
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Probability and Statistics
1
Problem 4:
This problem will give you an intuitive/philosophical as well as a mathematical way to explain when a probabilistic event is independent of itself! I…
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Probability and Statistics
Problem 3:
This problem suggests how one can calculate the covariance between two random variables given the information about their joint distribution. Can you…
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Probability and Statistics
Problem 2:
Another application of the continuity theorem of probability.
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Probability and Statistics
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