Instead, they'll introduce the principles of probabilistic modeling in as simple a setting as possible. Then, starting next week, we're going to apply these principles in the context of neural nets, and this will …

The Probabilistic Method is one of the most powerful and widely used tools applied in combinatorics. One of the major reasons for its rapid development is the impor-tant role of randomness in …

We give a brief introduction to probability and probabilistic modelling. The document is a refresher; it is assumed that the reader has some prior knowledge about the topic.

Randomization and probabilistic techniques play an important role in modern com puter science, with applications ranging from combinatorial optimization and machine learning to communication …

utions to describe complex systems. At the highest level, this course will be about mathematical modeling, which is a fundamental tool in science and engineering – in a model, we use mathematical …

In this section we gave an illustration of the probabilistic method, where one employs randomness to construct a useful object. The book [17] presents many illustrations of the probabilistic method, …

How is information about the physical world sensed, or detected, by the biological system? In what form is information stored, or remembered? How does information contained in storage, or in memory, …