Question

What is predictive calculus in artificial intelligence?

Answer 1

Answer:

See below.

Explanation:

Predictive Calculas is the branch of mathematics which utilizes calculas in problem solving tasks. Artificial intelligence is used in problem solving, knowledge management, classification and others tasks which are reserved for humans until now.

Gradient Descent, an optimization algorithm used to optimize an objective function which describes a loss for the task. As the name suggests, it uses the gradients of a function to minimize the loss of the objective function and hence improving the performance of a model.

Parameter optimization is the main use of calculas in AI. Complex functions are differentiated in order to optimize the paramaters of a model which are responsible for the AIs performance.

The gradient descent update rule, is as follows,

$x = x - \alpha \frac{dj}{dx}$

Where x is the optimization parameter, alpha is the learning rate or step size and j is the loss function ( objective function ).

Answer 2

Answer:

Answer:The most important concepts from calculus in the context of AI are gradient and gradient descent. On the other hand, −∇f(x) points in the direction of steepest descent from x. This is heavily utilized by mentioned gradient descent technique. This technique is used to iteratively find a minimum of a function