"What is machine learning optimization?
Optimization is the most essential ingredient in the recipe of machine learning algorithms. It starts with defining some kind of loss function/cost function and ends with minimizing the it using one or the other optimization routine.Sep 5, 2018"
https://towardsdatascience.com/demystifying-optimizations-for-machine-learning-c6c6405d3eea
Ordered vector space
"Given a vector space V over the real numbers R and a preorder ≤ on the set V, the pair (V, ≤) is called a preordered vector space if for all x, y, z in V and 0 ≤ λ in R the following two axioms are satisfied
- x ≤ y implies x + z ≤ y + z
- y ≤ x implies λy ≤ λx.
If ≤ is a partial order, (V, ≤) is called an ordered vector space. The two axioms imply that translations and positive homotheties are automorphisms of the order structure and the mapping x ↦ −x is an isomorphism to the dual order structure. Ordered vector spaces are ordered groups under their addition operation."
https://en.wikipedia.org/wiki/Ordered_vector_space
Vector Ordering
"If the first nonzero component of the vector difference 
is 
, then 
. If the first nonzero component of 
is 
, then 
."
http://mathworld.wolfram.com/VectorOrdering.html
Vectors:
https://www.mathsisfun.com/algebra/vectors.html
Vector: Dot Product: Costheta
https://www.mathsisfun.com/algebra/vectors-dot-product.html
Vector Cross Product
https://www.mathsisfun.com/algebra/vectors-cross-product.html
"Optimization lies at the heart of machine learning. Most machine learning problems reduce to optimization problems."
https://www.quora.com/What-is-the-relationship-between-machine-learning-and-mathematical-optimization
"Why is optimization important?
The purpose of optimization is to achieve the “best” design relative to a set of prioritized criteria or constraints. These include maximizing factors such as productivity, strength, reliability, longevity, efficiency, and utilization. ... This decision-making process is known as optimization."
https://digitalcommons.usu.edu/cgi/viewcontent.cgi?article=1031&context=ncete_publications
*** . *** . ***
Sayed Ahmed
BSc. Eng. in Comp. Sc. & Eng. (BUET)
MSc. in Comp. Sc. (U of Manitoba, Canada)
MSc. in Data Science and Analytics (Ryerson University, Canada)
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