Activation Functions Quiz

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Questions and Answers

An activation ______ is saturating if $lim_{|v|\to \infty}|\nabla f(v)| = 0$.

function

Non-saturating activation functions, such as ReLU, may be better than ______ activation functions.

saturating

The activation function of a node defines the output of that node given an input or set of inputs. A standard integrated circuit can be seen as a digital network of ______ functions.

activation

The most common activation functions can be divided into three categories: ______ functions, radial functions and fold functions.

<p>ridge</p> Signup and view all the answers

Only ______ activation functions allow such networks to compute nontrivial problems using only a small number of nodes.

<p>nonlinear</p> Signup and view all the answers

Flashcards

Saturating Activation Function

An activation function is saturating if the magnitude of its gradient approaches zero as the input grows large.

Non-Saturating Activation Function

Non-saturating activation functions, like ReLU, have gradients that don't approach zero as input increases. This allows for better learning in neural networks.

Activation Function in Neural Networks

A node's output is determined by its activation function, which processes the input. Circuits can be viewed as networks of these functions.

Ridge Function

Ridge functions are a type of activation function that are used in neural networks. They are characterized by their shape, which resembles a ridge.

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Nonlinear Activation Function

Neural networks with only nonlinear activation functions can effectively solve complex problems with fewer nodes. These functions allow for more flexible relationships between input and output.

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Study Notes

Activation Functions

  • An activation function is said to be saturating if the limit of the magnitude of its gradient approaches 0 as the input magnitude approaches infinity.
  • Non-saturating activation functions, such as ReLU, may be more effective than saturating activation functions.
  • The activation function of a node determines the output of that node based on its input or set of inputs.

Digital Networks

  • A standard integrated circuit can be viewed as a digital network of activation functions.

Categorization of Activation Functions

  • The most common activation functions can be categorized into three types: sigmoid functions, radial functions, and fold functions.
  • Only sigmoid activation functions enable networks to compute non-trivial problems using a relatively small number of nodes.

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