# Brain dump

## Machine Learning

##### December 1, 2020
Machine-Learning

Gradient Descent Cost Function Hypothesis Function Artificial Neural Network

##### December 1, 2020

An optimization algorithm for finding the local minimum of a differentiable function. (The red arrows show the … ...

## Hypothesis Function

##### December 1, 2020

A function which maps values $$x$$ to an output value $$y$$. Historically, in ML, hypothesis functions are denoted …

## Artificial Neural Network

##### November 26, 2020

Artificial Neural Network (ANN) Layers All learning occurs in the layers. In the image, below, there are three layers, … ...

## Covectors

##### November 17, 2020

A linear mapping from a vector space to a field of scalars. In other words, a linear function which acts upon a vector … ...

## Differential Geometry

##### November 17, 2020

Tensors Tensor Product

## Linear Algebra

##### November 17, 2020

Bases Bases Transformation Coordinate Transformation Covectors Dual Space Identity Matrix Invertible Matrix Invertible …

## Linear Mapping

##### November 16, 2020

A mapping from $$\mathbf{V} \rightarrow \mathbf{W}$$ that preserves the operations of addition and scalar …

## Multilinear Map

##### November 16, 2020

A function of several variables that is linear, separately, in each variable. A multilinear map of one variable is a …