CS 773 Online Learning and Optimization Scribe :
نویسنده
چکیده
We begin with defining the ubiquitous concept of a vector space and several properties associated with them, as well as mathematical operations defined on them. The concept of a vector space is, in general, defined over an arbitrary field of scalars. However, we shall restrict ourselves to real vector spaces, i.e. those defined over the field of reals. Definition 2.1 (Vector Space). A real vector space V is a set of mathematical objects which are called vectors, having certain properties, as mentioned below.
منابع مشابه
CS 773 Online Learning and Optimization
In this lecture, we will continue our discussion on vector spaces and convex analysis and look at results such as the Riesz representation theorem and convex projections. In addition, we will discuss some fundamentals of Probability Theory including σ-fields, probability measures, notion of independence, expectations etc. We will present a formal definition of random variables and distribution ...
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